Details

analyze380.0ms (2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
7.8%	85.8%	6.4%	7
10.1%	83.5%	6.4%	8
16.8%	74.5%	8.7%	9
29.1%	57.5%	13.4%	10
33.6%	51.4%	15%	11
39.2%	42.7%	18.1%	12

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample2.7s (14%)

Results

2.3s	8256×	body	256	valid
335.0ms	1708×	body	256	invalid

preprocess83.0ms (0.4%)

Algorithm

2×	egg-herbie

Rules

676×	`fma-def_binary64`
501×	`associate-/l*_binary64`
481×	`div-sub_binary64`
461×	`associate-/r*_binary64`
383×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	232
1	131	208
2	321	208
3	699	200
4	1305	200
5	2422	200
6	6277	200
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)))
(if (>=.f64 c 0) (/.f64 (.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 c (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) 2)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 (/.f64 c (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) 2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 c (.f64 -1/2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) a)))
(if (>=.f64 b 0) (/.f64 c (.f64 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) -1/2)) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) a) -1/2))
(if (>=.f64 b 0) (.f64 -2 (/.f64 c (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) a) -1/2))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 4 b) c)))) (.f64 2 b)))
(if (>=.f64 a 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 c (.f64 b 4)))))) (/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 c (.f64 b 4))))) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 (/.f64 2 (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))))) c) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -4)))) a) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 (/.f64 c (-.f64 (neg.f64 a) (sqrt.f64 (fma.f64 c (.f64 b -4) (.f64 a a))))) 2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 b -4) (.f64 a a))) a) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))) a) (.f64 b 2)))
(if (>=.f64 a 0) (.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (.f64 -1/2 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b)))
(if (>=.f64 a 0) (.f64 c (/.f64 -2 (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))))) (.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b) -1/2))
(if (>=.f64 a 0) (/.f64 (.f64 c -2) (+.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a))))) (.f64 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -4) (.f64 a a)))) b) -1/2))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 c) a)))) (.f64 2 c)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 4 (.f64 c a))))) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 (/.f64 2 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 c)))
(if (>=.f64 b 0) (/.f64 (.f64 2 a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 c)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 -1/2 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) c)))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) c) -1/2))
(if (>=.f64 b 0) (.f64 a (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))))) (.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -4))))) c) -1/2))
(if (>=.f64 c 0) (/.f64 (.f64 2 b) (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b))))) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 4 a) b)))) (.f64 2 a)))
(if (>=.f64 c 0) (/.f64 2 (/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) b)) (/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 4 a))))) (*.f64 2 a)))
(if (>=.f64 c 0) (.f64 (/.f64 2 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))))) b) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -4)))) c) (.f64 2 a)))
(if (>=.f64 c 0) (.f64 b (/.f64 2 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (.f64 2 a)))
(if (>=.f64 c 0) (.f64 b (/.f64 -2 (+.f64 c (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -4) (.f64 c c))) c) (.f64 2 a)))

Compiler

Compiled 44 to 29 computations (34.1% saved)

simplify152.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1002×	`fma-def_binary64`
782×	`fma-neg_binary64`
560×	`div-sub_binary64`
464×	`times-frac_binary64`
401×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	58
1	44	52
2	99	52
3	240	50
4	435	50
5	775	50
6	1488	50
7	2868	50
8	4319	50
9	5600	50
10	6531	50
11	6959	50
12	7072	50
13	7869	50
14	7925	50

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 c (.f64 4 a))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (/.f64 c -1/2) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 c -2) (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (/.f64 -1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))

eval1.0ms (0%)

Compiler: Compiled 75 to 47 computations (37.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

22.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	22.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))

Status

Error

Program

▶

22.2b

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))

▶

22.2b

(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))

Compiler

Compiled 78 to 50 computations (35.9% saved)

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	0.8b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
✓	1.4b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	24.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 140 to 84 computations (40% saved)

series46.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
5.0ms	b	@	0	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
3.0ms	c	@	0	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
2.0ms	a	@	inf	(fma.f64 b b (.f64 c (.f64 a -4)))
2.0ms	a	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
2.0ms	c	@	inf	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

rewrite161.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
476×	`fma-def_binary64`
410×	`pow-prod-down_binary64`
315×	`pow2_binary64`
274×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	56
1	240	53
2	3276	53

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
(fma.f64 b b (.f64 c (.f64 a -4)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1))))))
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 c (.f64 a -4)) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 b b) (.f64 c (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 b b) 1) (.f64 c (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 c (.f64 a -4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 2) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/4) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))) (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 6) (pow.f64 (.f64 c (.f64 a -4)) 3)) (+.f64 (pow.f64 (.f64 b b) 2) (-.f64 (.f64 (pow.f64 (.f64 c a) 2) 16) (.f64 (.f64 b b) (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (.f64 b b) 2) (.f64 (pow.f64 (.f64 c a) 2) 16)) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (exp.f64 -4) (.f64 c a)) (exp.f64 (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 c (.f64 a -4)))) (exp.f64 (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 b b)) (+.f64 1 (expm1.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (.f64 a -4) (.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 1))))))

simplify109.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary64`
716×	`times-frac_binary64`
679×	`associate-r_binary64`
641×	`associate-l_binary64`
441×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	2375
1	441	2283
2	1497	2143

Stop Event

1×	node limit

Counts

313 → 292

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
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b
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b
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b
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(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))

localize113.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series31.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
3.0ms	a	@	inf	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
1.0ms	c	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	a	@	inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	a	@	-inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
1.0ms	c	@	-inf	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))

rewrite262.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

775×	`fma-def_binary64`
690×	`log-prod_binary64`
416×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	301	56
2	4360	53

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 2) 1/2) (pow.f64 (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (pow.f64 (.f64 a (.f64 4 c)) 2))) (hypot.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b 6) (.f64 64 (pow.f64 (.f64 a c) 3)))) (sqrt.f64 (fma.f64 (.f64 a (.f64 4 c)) (fma.f64 a (.f64 4 c) (.f64 b b)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (+.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) 2) (cbrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (sqrt.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)) (/.f64 1 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)) (-.f64 (sqrt.f64 b) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4))))) (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)) (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c)))) (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b 3) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (neg.f64 (fma.f64 b b (fma.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (fma.f64 b b (.f64 c (.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)) (fma.f64 b b (-.f64 (.f64 (neg.f64 (hypot.f64 b (sqrt.f64 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(.f64 c (.f64 a -4))) 1/4) (fma.f64 (.f64 c (.f64 a -4)) 1 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (.f64 4 c)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 4 c))) 2) (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)) (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) (+.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 b)) (sqrt.f64 b) (.f64 c (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 b)) (sqrt.f64 b) (.f64 (.f64 c (.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (sqrt.f64 b)) (sqrt.f64 b) (neg.f64 (-.f64 (.f64 a (.f64 4 c)) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (.f64 c (.f64 a -4))) (cbrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (.f64 c (.f64 a -4))) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))) (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))) (fma.f64 b b (.f64 c (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (.f64 c (.f64 a -4))) (sqrt.f64 (.f64 c (.f64 a -4))) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))) (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))) (fma.f64 b b (.f64 c (.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (.f64 a (.f64 4 c)))) (sqrt.f64 (.f64 a (.f64 4 c))) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (fma.f64 (neg.f64 (.f64 a c)) 4 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (fma.f64 (.f64 c (.f64 a -4)) 1 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (.f64 4 c)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 4 c))) 2) (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (-.f64 b (sqrt.f64 (.f64 a (.f64 4 c)))) (+.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (.f64 a c) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (.f64 a (.f64 4 c))) 2)) (cbrt.f64 (.f64 a (.f64 4 c))) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a -4) 1) c (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a -4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 a -4) (sqrt.f64 c)) (sqrt.f64 c) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 c (.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (.f64 (.f64 c (.f64 a -4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (neg.f64 (-.f64 (.f64 a (.f64 4 c)) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (.f64 a c)) 4 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (.f64 c (.f64 a -4)) 1 (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (fma.f64 (neg.f64 (cbrt.f64 (.f64 a (.f64 4 c)))) (pow.f64 (cbrt.f64 (.f64 a (.f64 4 c))) 2) (.f64 a (.f64 4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) (cbrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) (+.f64 (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))))

simplify219.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

721×	`times-frac_binary64`
708×	`fma-def_binary64`
689×	`associate-r_binary64`
650×	`associate-l_binary64`
443×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1481	2157

Stop Event

1×	node limit

Counts

512 → 476

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c a) -2) b))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b))))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b)
(-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b)))) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)) (neg.f64 b))))
(fma.f64 4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (-.f64 (.f64 2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b)))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c a) -2) b))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (*.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 b (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c a) -2) b))))
(+.f64 b (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b))))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(fma.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (neg.f64 b))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b)))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b -1/2) (/.f64 (sqrt.f64 -4) b))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) (neg.f64 b))))
(fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) 1/8 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) -1/2 (neg.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b))))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b -1/2) (/.f64 (sqrt.f64 -4) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) -1/32)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (*.f64 c 2) (/.f64 b a)))
(fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (.f64 2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)))))
(fma.f64 b -2 (.f64 2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(+.f64 (.f64 2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b)))) (fma.f64 b -2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) 4))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
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(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (*.f64 a (/.f64 c b)))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (pow.f64 a 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 (.f64 c a) -2) b))))
(fma.f64 -1/2 (/.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 b (pow.f64 c 4))) (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a) (.f64 a (/.f64 c b))))))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 (.f64 c a) -4 (.f64 b b))
(fma.f64 c (.f64 a -4) (.f64 b b))

eval1.4s (7%)

Compiler: Compiled 54426 to 33111 computations (39.2% saved)

prune484.0ms (2.5%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	1097	17	1114
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	1099	17	1116

Error

8.1b

Counts

1116 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	28.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
▶	27.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))
	23.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)) 2) (/.f64 1/2 a)))
	25.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
▶	28.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	24.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b) (/.f64 1/2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	28.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	22.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
▶	20.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	20.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
▶	20.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	27.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)))
	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (*.f64 2 a)))
▶	35.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Compiler

Compiled 1350 to 896 computations (33.6% saved)

localize119.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	4.8b	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a)))
✓	5.7b	(.f64 (/.f64 (.f64 c 2) b) a)
	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 155 to 89 computations (42.6% saved)

series18.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b	@	-inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a)))
2.0ms	a	@	0	(.f64 (/.f64 (.f64 c 2) b) a)
2.0ms	a	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a)))
1.0ms	c	@	0	(.f64 (/.f64 (.f64 c 2) b) a)
1.0ms	b	@	inf	(.f64 (/.f64 (.f64 c 2) b) a)

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`log-prod_binary64`
382×	`pow-prod-down_binary64`
307×	`pow2_binary64`
224×	`pow-unpow_binary64`
218×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	261	30
2	3196	30

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(.f64 (/.f64 (.f64 c 2) b) a)
(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (*.f64 2 (/.f64 c b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 2 (/.f64 c b))) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (*.f64 2 (/.f64 c b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 2 (/.f64 c b))) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (*.f64 2 (/.f64 c b))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 c c) (/.f64 b a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b (+.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 (+.f64 c c) a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 c c) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 c c) a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 c c) a) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 c c) a) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 c c) a) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c -2) a) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a c) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (*.f64 c -2)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 b (*.f64 (+.f64 c c) a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 2 (/.f64 c b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 2 (/.f64 c b)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 2 (/.f64 c b)) a)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))) 2) (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) (*.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))) (sqrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c c)) (*.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -2) (/.f64 1 (neg.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 2 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2)) (/.f64 2 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2)) (/.f64 c (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) -2) (/.f64 (+.f64 c c) (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2)) (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))) (/.f64 2 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))) (/.f64 c (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) -1/2) (/.f64 (+.f64 c c) (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 4 (pow.f64 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) c) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/2 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 1/2 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (neg.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (/.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 c (fma.f64 b -2 (*.f64 (*.f64 2 (/.f64 c b)) a))))) 1))))))

simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

739×	`associate-*l/_binary64`
714×	`associate-/r/_binary64`
517×	`unswap-sqr_binary64`
501×	`associate-*r/_binary64`
343×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	52	1451
1	159	1427
2	595	1387
3	3324	1383

Stop Event

1×	node limit

Counts

151 → 96

Calls

Call 1

Inputs
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))

Outputs
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (.f64 (/.f64 c b) a))
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 (/.f64 c b) (.f64 2 a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b)))
(*.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a)) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)))
(neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a) (/.f64 c b))))
(neg.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (/.f64 c b))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -1 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5)) (/.f64 (pow.f64 a 3) (/.f64 (pow.f64 b 7) (pow.f64 c 4)))) (/.f64 c b)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))
(-.f64 (neg.f64 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a) (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(-.f64 (.f64 c (-.f64 (/.f64 -1 b) (/.f64 c (/.f64 (pow.f64 b 3) a)))) (.f64 (.f64 a a) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) a))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))
(/.f64 b a)
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (*.f64 c (pow.f64 a 2))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))))
(+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3)))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 b a) (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (/.f64 (pow.f64 b 7) (*.f64 (pow.f64 c 3) (pow.f64 a 4))))))
(+.f64 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (+.f64 (/.f64 (pow.f64 b 5) (.f64 c (.f64 c (pow.f64 a 3)))) (+.f64 (/.f64 b a) (/.f64 (/.f64 (pow.f64 b 7) (pow.f64 c 3)) (pow.f64 a 4)))))

localize47.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	0.2b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	0.8b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series9.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
1.0ms	a	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
1.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
1.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
1.0ms	c	@	0	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`log-prod_binary64`
734×	`fma-def_binary64`
373×	`fma-neg_binary64`
278×	`expm1-udef_binary64`
278×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	342	22
2	4923	21

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))) (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (*.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (*.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (/.f64 1 (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) (*.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 2) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) 2) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) 1) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) 1) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (+.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (pow.f64 (cbrt.f64 (+.f64 a a)) 2)) (/.f64 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 2)) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c)))))) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) 3) (pow.f64 (+.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 a c))))) (*.f64 a -2))) 1))))))

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-neg_binary64`
658×	`associate-l_binary64`
656×	`associate-r_binary64`
613×	`times-frac_binary64`
413×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	111	716
1	336	686
2	1221	620
3	7428	620

Stop Event

1×	node limit

Counts

63 → 71

Calls

Call 1

Inputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(*.f64 -1 (/.f64 c b))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))

Outputs
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 (.f64 1/2 (sqrt.f64 (/.f64 c a))) (sqrt.f64 -4))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 -1/2 (/.f64 b a)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a)))
(fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2)))
(fma.f64 (sqrt.f64 (/.f64 c a)) (.f64 1/2 (sqrt.f64 -4)) (.f64 (/.f64 -1/2 a) b))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (.f64 -1/2 (/.f64 b a))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 -4) 1/2))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (*.f64 1/4 (/.f64 b (/.f64 (sqrt.f64 -4) b))))))
(+.f64 (.f64 1/4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 -1/2 (/.f64 b a)) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/2 (/.f64 b a) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))))))
(fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 -1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) (/.f64 -1/2 (/.f64 a b)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)) (fma.f64 1/4 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (fma.f64 -1/2 (/.f64 b a) (*.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/64))))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -2 (.f64 c c)) (.f64 a a)) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b))) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (neg.f64 (/.f64 b a)))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (.f64 -1 (/.f64 b a))))
(+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (+.f64 (/.f64 c b) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (-.f64 (/.f64 c b) (/.f64 b a)))
(-.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)) (/.f64 b a))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)) (+.f64 (/.f64 c b) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -1 (/.f64 b a)))))
(+.f64 (+.f64 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (/.f64 c b)) (fma.f64 2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a))) (neg.f64 (/.f64 b a))))
(+.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)) (+.f64 (-.f64 (/.f64 c b) (/.f64 b a)) (/.f64 (.f64 (pow.f64 c 3) 2) (/.f64 (pow.f64 b 5) (.f64 a a)))))
(-.f64 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (fma.f64 2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a)) (/.f64 c b))) (/.f64 b a))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 c c) (pow.f64 b 3))) 2)))) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 c 4) (pow.f64 b 6))))) (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5))) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (fma.f64 -1/4 (/.f64 (pow.f64 a 3) (/.f64 b (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 20))) (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a)))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1 (/.f64 c b)))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (neg.f64 (/.f64 c b)))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(neg.f64 (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b)) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3)) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -1 (/.f64 c b) (.f64 -2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))))))
(-.f64 (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6)))) b)) (-.f64 (/.f64 (.f64 (.f64 -2 (*.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (/.f64 c b))) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) a) c)))
(fma.f64 (/.f64 -1/4 a) (/.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 b (pow.f64 c 4))) (-.f64 (.f64 -2 (/.f64 (.f64 a (pow.f64 c 3)) (/.f64 (pow.f64 b 5) a))) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) a (/.f64 c b))))

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))
	0.2b	(fma.f64 b b (.f64 c (.f64 a -4)))
	1.4b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
	24.5b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 126 to 78 computations (38.1% saved)

series6.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))
1.0ms	a	@	0	(.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))
1.0ms	a	@	inf	(.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))
1.0ms	b	@	inf	(.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))
0.0ms	a	@	-inf	(.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`pow1_binary64`
810×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
796×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	198	10
2	2721	10

Stop Event

1×	node limit

Counts

1 → 40

Calls

Call 1

Inputs
(.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b (/.f64 1/2 a)) (*.f64 b (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/2 a) b) (*.f64 (/.f64 1/2 a) b))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (+.f64 b b) (/.f64 1/2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 b b) (*.f64 a 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (+.f64 b b) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b 3) (pow.f64 b 3)) (*.f64 (*.f64 a 2) (fma.f64 b b (*.f64 b (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 b (+.f64 b b)) (*.f64 (*.f64 a 2) (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b b) 1/2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 b b) 1/2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 b 3)) 1/2) (*.f64 (fma.f64 b b (*.f64 b (+.f64 b b))) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b (+.f64 b b)) 1/2) (*.f64 (+.f64 b b) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 b 3)) 1) (*.f64 (fma.f64 b b (*.f64 b (+.f64 b b))) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b (+.f64 b b)) 1) (*.f64 (+.f64 b b) (*.f64 a 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 b 3)) -1/2) (*.f64 (fma.f64 b b (*.f64 b (+.f64 b b))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b (+.f64 b b)) -1/2) (*.f64 (+.f64 b b) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (+.f64 (pow.f64 b 3) (pow.f64 b 3))) (*.f64 a (fma.f64 b b (*.f64 b (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 (pow.f64 b 3) (pow.f64 b 3))) (*.f64 (neg.f64 a) (fma.f64 b b (*.f64 b (+.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/2 (*.f64 b (+.f64 b b))) (*.f64 a (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (*.f64 b (+.f64 b b))) (*.f64 (neg.f64 a) (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 b b) 1/2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 b b) 1/2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 b b) 1/2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 b 3) (pow.f64 b 3)) (/.f64 1/2 a)) (fma.f64 b b (*.f64 b (+.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 b (+.f64 b b)) (/.f64 1/2 a)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/2 (+.f64 b b)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 b b) -1/2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (+.f64 (pow.f64 b 3) (pow.f64 b 3))) (fma.f64 b b (*.f64 b (+.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1/2 a) (*.f64 b (+.f64 b b))) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 b b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 b b) 3) (pow.f64 (/.f64 1/2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/2 a) 3) (pow.f64 (+.f64 b b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 b b) (/.f64 1/2 a))))))))

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

494×	`unsub-neg_binary64`
392×	`sub-neg_binary64`
354×	`associate-/l*_binary64`
332×	`associate-/r/_binary64`
255×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	144
1	24	144
2	51	144
3	127	144
4	593	144
5	2904	144
6	7408	144

Stop Event

1×	node limit

Counts

64 → 43

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))

Outputs
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)

localize137.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))
	1.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	35.8b	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))

Compiler

Compiled 190 to 109 computations (42.6% saved)

series14.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	c	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
1.0ms	b	@	inf	(+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))
1.0ms	c	@	inf	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))

rewrite117.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`prod-diff_binary64`
570×	`log-prod_binary64`
272×	`fma-def_binary64`
219×	`pow1/3_binary64`
219×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	279	27
2	3572	27

Stop Event

1×	node limit

Counts

2 → 91

Calls

Call 1

Inputs
(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))
(+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (*.f64 c (*.f64 a -4))) b)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) 2) (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) (/.f64 1 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b))) (/.f64 1 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) (+.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) (pow.f64 b 3)) (+.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (fma.f64 b b (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) (pow.f64 b 3))) (neg.f64 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (neg.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) (+.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) (pow.f64 b 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

712×	`times-frac_binary64`
654×	`associate-r_binary64`
621×	`associate-l_binary64`
613×	`fma-def_binary64`
437×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	124	1359
1	387	1333
2	1346	1234
3	7769	1234

Stop Event

1×	node limit

Counts

131 → 138

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 -2 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(+.f64 b (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (neg.f64 b))
(-.f64 (/.f64 (*.f64 c 2) (/.f64 b a)) b)
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))) b)
(fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (neg.f64 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 2 (/.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 3)) (neg.f64 b))))
(fma.f64 2 (.f64 (/.f64 c b) a) (-.f64 (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) b))
(fma.f64 4 (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 5)) (pow.f64 c 3)) (fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 (/.f64 a b) c)) (neg.f64 b)))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(+.f64 b (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 (/.f64 a b) c) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(+.f64 b (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b))
(-.f64 (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 -1 b (.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -4 (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (-.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b)))) b)))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32))) b)
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 (/.f64 a b) c))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (/.f64 c (/.f64 b a))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 (/.f64 a b) c)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4)))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 (*.f64 c 2) (/.f64 b a)))
(fma.f64 b -2 (/.f64 (*.f64 c a) (/.f64 b 2)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c)))))
(fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 (/.f64 a b) c)) (.f64 b -2))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(+.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) 4)) (fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 (/.f64 a b) c)) (.f64 b -2)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 (/.f64 a b) c))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (/.f64 c (/.f64 b a))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 (/.f64 a b) c)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 (/.f64 a b) c))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (.f64 c a) b)))
(.f64 -2 (+.f64 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (/.f64 c (/.f64 b a))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (*.f64 a a)) c))))
(.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 (/.f64 a b) c)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a)))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a))))
(fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 (pow.f64 c 4) (/.f64 b (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 -2 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 a a)) c)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 4 (/.f64 (pow.f64 a 4) (pow.f64 b 6))))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 -2 (*.f64 (/.f64 c b) a)))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) b)) (fma.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 (/.f64 a b) c)) (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 a 3)) -4))))

localize148.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.1b	(+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (*.f64 4 c)))
✓	13.3b	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
✓	15.7b	(sqrt.f64 (.f64 c (.f64 a -4)))
	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 237 to 125 computations (47.3% saved)

series54.0ms (0.3%)

Counts

3 → 52

Calls

24 calls:

Time	Variable		Point	Expression
9.0ms	a	@	inf	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
7.0ms	c	@	inf	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
7.0ms	c	@	0	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
7.0ms	c	@	-inf	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
6.0ms	a	@	-inf	(/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))

rewrite91.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

659×	`fma-def_binary64`
325×	`fma-neg_binary64`
323×	`expm1-udef_binary64`
323×	`log1p-udef_binary64`
273×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	17	60
1	371	54
2	5054	54

Stop Event

1×	node limit

Counts

3 → 138

Calls

Call 1

Inputs

(sqrt.f64 (*.f64 c (*.f64 a -4)))

(/.f64 (+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 a (*.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))

(+.f64 (fma.f64 b b (*.f64 b b)) (*.f64 a (*.f64 4 c)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) (cbrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 a -4)) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 c) (sqrt.f64 (*.f64 a -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 a (*.f64 -4 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 c a) 1/2) (sqrt.f64 -4))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 -4 c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 -4 c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 -4 c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 a (*.f64 -4 c)))) 1))))))

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a 4))) 2) (cbrt.f64 (*.f64 c (*.f64 a 4))) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 b (+.f64 b b))) (pow.f64 (cbrt.f64 (*.f64 b (+.f64 b b))) 2) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 b (+.f64 b b))) 2) (cbrt.f64 (*.f64 b (+.f64 b b))) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sqrt.f64 c)) (*.f64 (*.f64 2 (sqrt.f64 c)) a) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (*.f64 c 4)) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 2 (*.f64 b b) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (*.f64 (sqrt.f64 b) b) (fma.f64 b b (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 c (*.f64 a 4))) (sqrt.f64 (*.f64 c (*.f64 a 4))) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 b b) (hypot.f64 b b) (*.f64 c (*.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c a) 4 (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a 4) c (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (sqrt.f64 b)) (sqrt.f64 b) (fma.f64 b b (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (fma.f64 b b (*.f64 c (*.f64 a 4))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (pow.f64 (cbrt.f64 (*.f64 c 4)) 2)) (cbrt.f64 (*.f64 c 4)) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a (*.f64 2 (sqrt.f64 c))) (*.f64 2 (sqrt.f64 c)) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c 4) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 c 4) (sqrt.f64 a)) (sqrt.f64 a) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) 1) c (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a 4) (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b (+.f64 b b)))))))

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

812×	`fma-def_binary64`
745×	`associate-/r*_binary64`
692×	`associate-/l*_binary64`
336×	`distribute-rgt-in_binary64`
332×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	1567
1	520	1196
2	2538	1046

Stop Event

1×	node limit

Counts

190 → 169

Calls

Call 1

Inputs
(.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (pow.f64 b 2)) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (sqrt.f64 -4)))) (pow.f64 b 3)) (+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (pow.f64 b 2)) (.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
b
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) b) (.f64 1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (-.f64 (.f64 2 (.f64 c a)) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))) b)) (.f64 1/4 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (-.f64 (.f64 2 (.f64 c a)) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))) (+.f64 b (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (+.f64 (.f64 -1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (-.f64 (.f64 2 (.f64 c a)) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))))))))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (-.f64 (.f64 2 (.f64 c a)) (.f64 1/4 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))))) (pow.f64 b 5)))))) (.f64 1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(.f64 -4 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 -1 (.f64 b (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2)))))) (.f64 -4 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))
(+.f64 (.f64 -1 (.f64 b (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2))))))) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -4 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2))))))) (pow.f64 b 3))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (+.f64 (.f64 -1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2)))))))) (.f64 1/2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 3))) (+.f64 (.f64 -1 (.f64 b (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2)))))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 1 (.f64 8 (/.f64 1 (pow.f64 (sqrt.f64 -4) 2))))))) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -4 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (.f64 -4 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (*.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 3))))))))))))
b
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
b
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) b)
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(*.f64 2 (pow.f64 b 2))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(*.f64 2 (pow.f64 b 2))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(*.f64 2 (pow.f64 b 2))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(*.f64 2 (pow.f64 b 2))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(.f64 4 (.f64 c a))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))

Outputs
(.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 -4 (/.f64 b -4)))
(fma.f64 4 (/.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (pow.f64 b 2)) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -2)) (.f64 b b) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 -4 (/.f64 b -4) (fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 b (.f64 b (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2)))))))
(fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (fma.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (+.f64 (/.f64 2 (sqrt.f64 -4)) (/.f64 -1/2 (sqrt.f64 -4))))) b))
(+.f64 (.f64 (-.f64 (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (sqrt.f64 -4)))) (pow.f64 b 3)) (+.f64 (.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 (-.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4)))) (+.f64 (.f64 2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))) (pow.f64 b 2)) (.f64 4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 (-.f64 (/.f64 2 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (-.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -2))) (sqrt.f64 -4))) (pow.f64 b 3) (fma.f64 -4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 (-.f64 (.f64 2 (.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -2)) (.f64 b b) (.f64 4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))))
(fma.f64 (-.f64 (/.f64 2 (.f64 c (.f64 a 16))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2))) (sqrt.f64 -4)))) (pow.f64 b 3) (fma.f64 -4 (/.f64 b -4) (fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 b (.f64 b (fma.f64 2 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2))))))))
(fma.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (neg.f64 (-.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) -2) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) -2) 16))) (/.f64 (/.f64 1/8 a) c)) (pow.f64 b 3) (fma.f64 4 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (fma.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (+.f64 (/.f64 2 (sqrt.f64 -4)) (/.f64 -1/2 (sqrt.f64 -4))))) b)))
b
(-.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) b) (.f64 1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) b) (.f64 -1/4 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(-.f64 (fma.f64 2 (/.f64 c (/.f64 b a)) b) (/.f64 (.f64 (.f64 c a) -1) b))
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(fma.f64 2 (.f64 b b) (.f64 4 (*.f64 c a)))
(fma.f64 4 (.f64 c a) (.f64 (*.f64 2 b) b))
(fma.f64 b (.f64 b 2) (.f64 a (*.f64 4 c)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(fma.f64 2 (.f64 b b) (.f64 4 (*.f64 c a)))
(fma.f64 4 (.f64 c a) (.f64 (*.f64 2 b) b))
(fma.f64 b (.f64 b 2) (.f64 a (*.f64 4 c)))
(+.f64 (.f64 2 (pow.f64 b 2)) (.f64 4 (*.f64 c a)))
(fma.f64 2 (.f64 b b) (.f64 4 (*.f64 c a)))
(fma.f64 4 (.f64 c a) (.f64 (*.f64 2 b) b))
(fma.f64 b (.f64 b 2) (.f64 a (*.f64 4 c)))

eval1.9s (9.8%)

Compiler: Compiled 62598 to 38053 computations (39.2% saved)

prune328.0ms (1.7%)

Pruning

28 alts after pruning (27 fresh and 1 done)

	Pruned	Kept	Total
New	1374	23	1397
Fresh	8	4	12
Picked	1	0	1
Done	3	1	4
Total	1386	28	1414

Error

8.1b

Counts

1414 → 28

Alt Table

Click to see full alt table

Status	Error	Program
✓	27.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))
	23.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)) 2) (/.f64 1/2 a)))
	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
	27.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))
	27.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (*.f64 2 a)))
▶	20.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (/.f64 c b)) a)) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	31.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	43.2b	(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	26.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
	28.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 2)) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2)))
	26.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
▶	26.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a)))
	49.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	37.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) -1))
	24.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b) (/.f64 1/2 a)))
	26.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
▶	28.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	32.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
	27.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
	39.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	26.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	32.7b	(if (>=.f64 b 0) (exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	28.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
	26.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))

Compiler

Compiled 1858 to 1262 computations (32.1% saved)

localize71.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.8b	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 (/.f64 c b)) a)) 3)))
✓	5.7b	(.f64 (.f64 2 (/.f64 c b)) a)
✓	18.9b	(cbrt.f64 (.f64 (.f64 2 (/.f64 c b)) a))
	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 183 to 103 computations (43.7% saved)

series22.0ms (0.1%)

Counts

3 → 47

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	c	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 (/.f64 c b)) a)) 3)))
2.0ms	c	@	-inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 (/.f64 c b)) a)) 3)))
1.0ms	a	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 (/.f64 c b)) a)) 3)))
1.0ms	c	@	inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 (/.f64 c b)) a)) 3)))
1.0ms	b	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 (/.f64 c b)) a)) 3)))

rewrite82.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

781×	`log-prod_binary64`
370×	`pow2_binary64`
288×	`prod-diff_binary64`
261×	`pow1/3_binary64`
257×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	326	42
2	3902	42

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(cbrt.f64 (.f64 (.f64 2 (/.f64 c b)) a))
(.f64 (.f64 2 (/.f64 c b)) a)
(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 (/.f64 c b)) a)) 3)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 (+.f64 c c) b)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (/.f64 c b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 a) (cbrt.f64 (/.f64 (+.f64 c c) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) 1/6) (pow.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) (*.f64 2 a))) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (/.f64 c b) (*.f64 2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 c c) a) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a (+.f64 c c)) b)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (/.f64 c b) (*.f64 2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 (+.f64 c c) b) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 (+.f64 c c) b) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (+.f64 c c) b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 c b) (*.f64 2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (/.f64 c b) (*.f64 2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (+.f64 c c) b) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 3) (pow.f64 (/.f64 (+.f64 c c) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (/.f64 c b) (*.f64 2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 c b) (*.f64 2 a))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))) 2) (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) (*.f64 (cbrt.f64 (+.f64 c c)) (/.f64 1 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))) (sqrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 c c)) (*.f64 (sqrt.f64 (+.f64 c c)) (/.f64 1 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -2) (/.f64 1 (neg.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))) (+.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 2 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))) c)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) 1) (/.f64 (cbrt.f64 (+.f64 c c)) (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) 1) (/.f64 (sqrt.f64 (+.f64 c c)) (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))) 2)) (/.f64 c (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))) 2)) (/.f64 2 (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))) 2)) (/.f64 (+.f64 c c) (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))) 2)) (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))) (/.f64 c (sqrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))) (/.f64 2 (sqrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))) (/.f64 (+.f64 c c) (sqrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 (*.f64 c c) 4)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))) (/.f64 (cbrt.f64 (+.f64 c c)) (sqrt.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)) (+.f64 c c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)) (+.f64 c c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (neg.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 4 (pow.f64 (/.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)) c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (*.f64 b -2))))) 1))))))

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Stop Event

1×

saturated

Counts

143 → 100

Calls

Call 1

Inputs
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))

Outputs
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 2 c) a) b)
(/.f64 (.f64 a (.f64 2 c)) b)
(.f64 c (.f64 a (/.f64 2 b)))
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)

localize19.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 c b) (/.f64 b a))

Compiler

Compiled 60 to 23 computations (61.7% saved)

series4.0ms (0%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms	b	@	0	(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms	a	@	0	(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms	c	@	inf	(-.f64 (/.f64 c b) (/.f64 b a))
0.0ms	b	@	-inf	(-.f64 (/.f64 c b) (/.f64 b a))

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

470×	`log-prod_binary64`
351×	`exp-prod_binary64`
337×	`pow-prod-down_binary64`
309×	`fma-def_binary64`
241×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	164	10
2	2652	10

Stop Event

1×	node limit

Counts

1 → 147

Calls

Call 1

Inputs
(-.f64 (/.f64 c b) (/.f64 b a))

Outputs

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(cbrt.f64 (/.f64 c b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b a)) (neg.f64 (sqrt.f64 (/.f64 b a))) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 1 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (/.f64 1 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) (sqrt.f64 (-.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a 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(/.f64 1 (*.f64 b a)) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (*.f64 c a) (*.f64 b b)) (/.f64 1 (*.f64 b a)) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 3)) (/.f64 1 (fma.f64 (/.f64 b a) (+.f64 (/.f64 c b) (/.f64 b a)) (pow.f64 (/.f64 c b) 2))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 3) (pow.f64 (/.f64 b a) 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a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 c b) 2) (pow.f64 (/.f64 a b) -2)) (/.f64 1 (+.f64 (/.f64 c b) (/.f64 b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 (neg.f64 b) a)) 2) (cbrt.f64 (/.f64 (neg.f64 b) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (neg.f64 b) a)) (sqrt.f64 (/.f64 (neg.f64 b) a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 b a))) (sqrt.f64 (/.f64 b a)) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 b a) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 c (cbrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) -2) (/.f64 c (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 c (sqrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b -1/2) (/.f64 c (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) 1) (/.f64 (cbrt.f64 c) b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) 1) (/.f64 (sqrt.f64 c) b) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 c b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 c) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 c) (cbrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)) (/.f64 (neg.f64 b) a))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 c) (sqrt.f64 b)) (*.f64 (/.f64 (neg.f64 b) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (/.f64 1 a)) b (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (/.f64 (neg.f64 b) a) 1 (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b a))) (cbrt.f64 (pow.f64 (/.f64 a b) -2)) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (-.f64 (sqrt.f64 (/.f64 c b)) (sqrt.f64 (/.f64 b a))) (+.f64 (/.f64 (neg.f64 b) a) (/.f64 b a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 a b) -2))) (cbrt.f64 (/.f64 b a)) (/.f64 c b))))))

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

506×	`fma-def_binary64`
266×	`fma-neg_binary64`
120×	`associate-/l*_binary64`
96×	`cancel-sign-sub-inv_binary64`
94×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	368
1	14	314
2	24	314
3	34	314
4	47	314
5	71	314
6	119	314
7	175	314
8	257	314
9	408	314
10	679	314
11	1121	314
12	1656	314
13	2118	314
14	2220	314
15	2224	314
16	2236	314
17	2246	314

Stop Event

1×

saturated

Counts

183 → 152

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))

Outputs
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
✓	0.0b	(.f64 2 (/.f64 (.f64 c a) b))
✓	4.3b	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
✓	6.8b	(/.f64 (*.f64 c a) b)

Compiler

Compiled 123 to 58 computations (52.8% saved)

series15.0ms (0.1%)

Counts

4 → 45

Calls

36 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
1.0ms	b	@	inf	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
1.0ms	c	@	inf	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
1.0ms	b	@	0	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
1.0ms	c	@	-inf	(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

816×	`log-prod_binary64`
444×	`fma-def_binary64`
298×	`fma-neg_binary64`
263×	`expm1-udef_binary64`
263×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	54
1	343	48
2	4953	48

Stop Event

1×	node limit

Counts

4 → 208

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) b)
(/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (.f64 2 a))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))

Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))) (cbrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))))) (log.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))) (log.f64 (sqrt.f64 (exp.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))) (pow.f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))) 2) (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) 2) (.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))) (sqrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (.f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (/.f64 1/2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1/2 a) (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (/.f64 1 (.f64 a -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) 1/2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 a) (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) 2) a) (/.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) 2))))) (#(struct:change 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(cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) 2) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (cbrt.f64 (.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (/.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (cbrt.f64 (pow.f64 (+.f64 a a) 2))) (/.f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (cbrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 a a))) (/.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b)) (sqrt.f64 (+.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) 2) (sqrt.f64 (+.f64 a a))) (/.f64 (cbrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 (+.f64 b b))) (sqrt.f64 (+.f64 a a))))))) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (+.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (sqrt.f64 (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 2 (/.f64 b (.f64 c a)))) (sqrt.f64 (/.f64 2 (/.f64 b (.f64 c a)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 c (/.f64 b a))) (.f64 (sqrt.f64 (/.f64 c (/.f64 b a))) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (/.f64 2 (/.f64 b (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (/.f64 2 (/.f64 b (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (.f64 (sqrt.f64 b) -1) (/.f64 2 (/.f64 b (.f64 c a))))))) (#(struct:change 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 2 (/.f64 b (.f64 c a)))) (sqrt.f64 b)) (-.f64 (sqrt.f64 (/.f64 2 (/.f64 b (.f64 c a)))) (sqrt.f64 b)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (/.f64 2 (/.f64 b (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (/.f64 2 (/.f64 b (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (cbrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2))) (cbrt.f64 (/.f64 c (/.f64 b a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 2 (sqrt.f64 (/.f64 c (/.f64 b a)))) (sqrt.f64 (/.f64 c (/.f64 b a))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (/.f64 2 (/.f64 b (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (/.f64 2 (/.f64 b (*.f64 c a))))))))

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

563×	`times-frac_binary64`
376×	`fma-def_binary64`
373×	`associate-/r/_binary64`
272×	`distribute-rgt-neg-in_binary64`
261×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	430
1	49	376
2	100	376
3	234	376
4	901	376
5	3657	376

Stop Event

1×	node limit

Counts

253 → 220

Calls

Call 1

Inputs
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(*.f64 -1 b)
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 -1 b)
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 -1 b)
(*.f64 -1 b)

Outputs
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (.f64 1/2 (-.f64 (.f64 -1 (/.f64 b a)) (/.f64 b a))) (/.f64 c b))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a))
(/.f64 (neg.f64 b) a)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (.f64 1/2 (/.f64 (-.f64 (.f64 -1 b) b) a)))
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 b)
(neg.f64 b)
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 c (.f64 2 (/.f64 a b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 c (.f64 2 (/.f64 a b)))
(*.f64 -1 b)
(neg.f64 b)
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 c (.f64 2 (/.f64 a b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 c (.f64 2 (/.f64 a b)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 2 (/.f64 c (/.f64 b a)))
(.f64 2 (.f64 (/.f64 c b) a))
(.f64 (/.f64 c b) (.f64 a 2))
(.f64 c (.f64 2 (/.f64 a b)))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)

localize49.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(+.f64 (.f64 c (.f64 a -4)) (*.f64 b b))
	0.2b	(.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))
✓	1.4b	(+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b))))
✓	24.5b	(sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)))

Compiler

Compiled 135 to 79 computations (41.5% saved)

series9.0ms (0%)

Counts

3 → 76

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)))
0.0ms	a	@	inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)))
0.0ms	c	@	-inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)))
0.0ms	c	@	inf	(sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)))
0.0ms	a	@	-inf	(+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b))))

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

578×	`log-prod_binary64`
564×	`fma-def_binary64`
422×	`pow-prod-down_binary64`
314×	`pow2_binary64`
311×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	242	38
2	3395	38

Stop Event

1×	node limit

Counts

3 → 152

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b)))
(+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (*.f64 b b))))
(+.f64 (.f64 c (.f64 a -4)) (*.f64 b b))

Outputs

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(fma.f64 (pow.f64 (*.f64 c a) 3) -64 (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b)) (-.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 2) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 c a) 3) -64 (pow.f64 b 6)) (-.f64 (fma.f64 (pow.f64 (*.f64 c a) 2) 16 (pow.f64 b 4)) (*.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (*.f64 c a) 3) -64 (pow.f64 b 6)) (+.f64 (pow.f64 b 4) (-.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 2) (*.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 2) (pow.f64 b 4)) (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) 3) -64 (pow.f64 b 6))) (neg.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 c a) 2) 16 (pow.f64 b 4)) (*.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b 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(fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 (*.f64 c a) 2) 16 (pow.f64 b 4)) (*.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))) (fma.f64 (pow.f64 (*.f64 c a) 3) -64 (pow.f64 b 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b)) (-.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 2) (pow.f64 b 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (*.f64 c a)))) (pow.f64 (exp.f64 b) b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 a) -4) c) (+.f64 1 (expm1.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -4 (*.f64 c a)))) (+.f64 1 (expm1.f64 (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b b))) (pow.f64 (pow.f64 (exp.f64 a) -4) c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 b) b) (+.f64 1 (expm1.f64 (*.f64 -4 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 b b))) (+.f64 1 (expm1.f64 (*.f64 -4 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 c (*.f64 a -4) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 a (*.f64 -4 c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -4 (*.f64 c a) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 a -4) c (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -4 (*.f64 c a)) 1 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b b (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b b) 1 (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -4 (*.f64 c a)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 b b) (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (*.f64 (cbrt.f64 b) b) (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 b) b) (pow.f64 (cbrt.f64 b) 2) (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 a a) 16)) (*.f64 (cbrt.f64 (*.f64 a -4)) c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 c) 2) (*.f64 (cbrt.f64 c) (*.f64 a -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) 2) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) 2) (cbrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 a -4)) (*.f64 (sqrt.f64 (*.f64 a -4)) c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 c) (*.f64 (sqrt.f64 c) (*.f64 a -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) (sqrt.f64 (*.f64 -4 (*.f64 c a))) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (pow.f64 b 3/2) (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c a) -4 (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 b 3/2) (sqrt.f64 b) (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 b (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c -4) a (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (cbrt.f64 (*.f64 (*.f64 a a) 16))) (cbrt.f64 (*.f64 a -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (sqrt.f64 (*.f64 a -4))) (sqrt.f64 (*.f64 a -4)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a -4) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 a -4) (sqrt.f64 c)) (sqrt.f64 c) (*.f64 b b))))))

simplify91.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
448×	`fma-def_binary64`
409×	`associate-r_binary64`
401×	`times-frac_binary64`
373×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	1615
1	303	1539
2	985	1468
3	4895	1448
4	6743	1412

Stop Event

1×	node limit

Counts

228 → 203

Calls

Call 1

Inputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(*.f64 -1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b))))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(.f64 2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(*.f64 2 b)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))

Outputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
(fma.f64 -2 (*.f64 (/.f64 c b) a) b)
(fma.f64 -2 (*.f64 a (/.f64 c b)) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b)
(fma.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 b (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b)))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (+.f64 b (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (/.f64 (.f64 -2 (.f64 c a)) b))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) b)) (*.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b) (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))
(+.f64 (.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a)))))) (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b))
(+.f64 (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)) (fma.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) b))
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (/.f64 (.f64 -2 (.f64 c a)) b))
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(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a))))
(.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (*.f64 a (/.f64 c b))))
(.f64 2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (*.f64 a a))))))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))) (/.f64 (.f64 (.f64 4 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4))
(fma.f64 2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4))
(fma.f64 2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))) (/.f64 (.f64 (*.f64 4 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5))))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (.f64 (/.f64 1/2 (pow.f64 b 7)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20))))
(fma.f64 2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(fma.f64 2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 4 (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 b 2 (/.f64 c (/.f64 (/.f64 b a) -2)))
(fma.f64 b 2 (.f64 (/.f64 -2 b) (.f64 c a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) (*.f64 b 2)))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (.f64 (/.f64 c b) a) (*.f64 b 2))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (.f64 b 2)))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 b 2))
(fma.f64 b 2 (/.f64 c (/.f64 (/.f64 b a) -2)))
(fma.f64 b 2 (.f64 (/.f64 -2 b) (.f64 c a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (.f64 (/.f64 c b) a) (*.f64 b 2)))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (fma.f64 -2 (.f64 (/.f64 c b) a) (*.f64 b 2))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 c (+.f64 (/.f64 a b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 a a))))) (.f64 b 2)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -4))
(fma.f64 b b (.f64 c (.f64 a -4)))

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))
✓	0.2b	(pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))) -1)
✓	0.5b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))
✓	15.7b	(sqrt.f64 (.f64 -4 (.f64 a c)))

Compiler

Compiled 132 to 71 computations (46.2% saved)

series110.0ms (0.6%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
18.0ms	b	@	0	(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))
17.0ms	a	@	inf	(pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))) -1)
13.0ms	c	@	-inf	(pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))) -1)
10.0ms	c	@	inf	(pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))) -1)
8.0ms	a	@	-inf	(pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))) -1)

rewrite96.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`log-prod_binary64`
673×	`prod-diff_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`
236×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	66
1	326	63
2	4150	63

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

Inputs
(sqrt.f64 (.f64 -4 (.f64 a c)))
(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))
(pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))) -1)
(/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))

Outputs
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(.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 a (-.f64 (.f64 b b) (fma.f64 -4 (.f64 a c) (.f64 b b)))) (-.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 a (neg.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 a 3) (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (.f64 -4 a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)))) 1))))))

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

534×	`distribute-rgt-in_binary64`
532×	`distribute-lft-in_binary64`
396×	`associate-r_binary64`
296×	`associate-l_binary64`
283×	`fma-def_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	278	2498
1	917	1906
2	4290	1804

Stop Event

1×	node limit

Counts

184 → 211

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(*.f64 2 b)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(*.f64 2 b)
(*.f64 2 b)
(/.f64 b a)
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) a))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) a))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (+.f64 (.f64 1/2 (/.f64 b a)) (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 c (pow.f64 a 3))) (.f64 (sqrt.f64 -4) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4))))))) a)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) a))) (sqrt.f64 -4))))) (pow.f64 b 3))))))
(/.f64 b a)
(+.f64 (/.f64 b a) (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (/.f64 b a) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -1/16 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3)))))
(+.f64 (/.f64 b a) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/4 (.f64 c (.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -2 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 a 2))))) (pow.f64 b 5))) (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (.f64 -1/16 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))))))
(.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))) (pow.f64 b 5))) (+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 -1/4 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (+.f64 (.f64 1/16 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 1/4 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))))))))) (pow.f64 b 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 -1/64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))))))))))) (pow.f64 b 7))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -4) 4) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))))) (pow.f64 b 5))) (+.f64 (.f64 -1/64 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 6) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 7)))))))))
(/.f64 b a)
(*.f64 1/2 (/.f64 a b))
(*.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))) (.f64 -1 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))) (+.f64 (.f64 -1 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))) (+.f64 (.f64 -1 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(*.f64 1/2 (/.f64 a b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 1/2 (/.f64 a b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 a b)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 1/2 (/.f64 a b)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(+.f64 (.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/2 (/.f64 a b)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 a b)))))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 a b)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(*.f64 1/2 (/.f64 a b))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)
(+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4))))))
(+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 b b) (sqrt.f64 -4)))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 b (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))))))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (+.f64 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b b) (sqrt.f64 -4)))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -4) -4))) b))
(fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 b b) (sqrt.f64 -4))))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))
(fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (*.f64 b 2))
(fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4))))
(fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 a (*.f64 c -4))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (*.f64 2 b)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (.f64 b 2)))
(+.f64 (fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)))) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(+.f64 (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 a (.f64 c -4)))) (/.f64 (.f64 (.f64 a (.f64 a (*.f64 c c))) -2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 2 b))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 (pow.f64 a 3) -64)) (fma.f64 b 2 (.f64 1/2 (.f64 (/.f64 c b) (*.f64 a -4))))))
(+.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 c c))) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) (fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 a (*.f64 c -4))))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 (/.f64 (.f64 (*.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) -1/2)
(/.f64 (.f64 (.f64 -1/2 c) (*.f64 a -4)) b)
(.f64 (/.f64 -1/2 b) (.f64 a (*.f64 c -4)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (.f64 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) -1/2))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (*.f64 a 16))) 1/8))
(fma.f64 (.f64 (.f64 (/.f64 c b) -4) a) -1/2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (.f64 a 16))))) 1/8))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (.f64 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) -1/16)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16)))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (.f64 a 16))))) 1/8 (fma.f64 (.f64 (.f64 (/.f64 c b) -4) a) -1/2 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) -1/16)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))) b)) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/2 (/.f64 (.f64 (.f64 c a) (pow.f64 (sqrt.f64 -4) 2)) b) (fma.f64 -1/16 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 (sqrt.f64 -4) 6)) (pow.f64 b 5)) (/.f64 (.f64 1/2 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2))) (pow.f64 b 7)))))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a 16))) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (fma.f64 1/2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (pow.f64 b 7)) (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) -64)) -1/16))))
(fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a (.f64 a 16))))) 1/8 (fma.f64 (.f64 (.f64 (/.f64 c b) -4) a) -1/2 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (pow.f64 b 7)) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (/.f64 (pow.f64 b 5) -64) (pow.f64 a 3))) -1/16))))
(*.f64 2 b)
(*.f64 b 2)
(*.f64 2 b)
(*.f64 b 2)
(/.f64 b a)
(.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4)))
(.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))))
(.f64 (sqrt.f64 (/.f64 c a)) (.f64 (sqrt.f64 -4) 1/2))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a)))
(.f64 1/2 (+.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))
(*.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))) a))) (pow.f64 b 2))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -4))) (*.f64 1/2 (/.f64 b a))))
(fma.f64 -1 (.f64 (.f64 b b) (.f64 -1/2 (+.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (sqrt.f64 -4))) (/.f64 (.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) a)))) (.f64 1/2 (+.f64 (*.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (/.f64 b a))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 (.f64 b b) (.f64 1/2 (+.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (sqrt.f64 -4)) (.f64 (/.f64 c a) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) 2))))))
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(*.f64 (/.f64 1 (sqrt.f64 -4)) (sqrt.f64 (/.f64 a c)))
(/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))) (.f64 -1 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)) (neg.f64 (/.f64 b (*.f64 c (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (*.f64 1/4 (/.f64 b c)))
(+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))) (+.f64 (.f64 -1 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))
(fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)) (.f64 -1 (+.f64 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 (.f64 b b) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (fma.f64 (.f64 (neg.f64 b) b) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) -1/2)) (*.f64 1/4 (/.f64 b c))))
(+.f64 (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4)) (fma.f64 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1/4 (sqrt.f64 -4)))) -1/2 (*.f64 1/4 (/.f64 b c))))
(+.f64 (.f64 (pow.f64 b 3) (-.f64 (.f64 1/2 (/.f64 1 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))))) (+.f64 (.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4))) (+.f64 (.f64 -1 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1 (.f64 (pow.f64 b 2) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))))
(fma.f64 (pow.f64 b 3) (-.f64 (/.f64 1/2 (.f64 (.f64 (.f64 c c) a) (pow.f64 (sqrt.f64 -4) 4))) (neg.f64 (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2)) (sqrt.f64 -4)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (/.f64 1 (sqrt.f64 -4)) (.f64 -1 (+.f64 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 (.f64 b b) (.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) a)) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -1/2))))))
(+.f64 (fma.f64 (.f64 (neg.f64 b) b) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) -1/2)) (.f64 1/4 (/.f64 b c))) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 c (.f64 c (.f64 a 16)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 -1/4 (sqrt.f64 -4))) (/.f64 (sqrt.f64 -4) -1/2)))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))))
(+.f64 (fma.f64 (.f64 (.f64 b b) (.f64 (sqrt.f64 (/.f64 1 (.f64 a (pow.f64 c 3)))) (/.f64 1/4 (sqrt.f64 -4)))) -1/2 (.f64 1/4 (/.f64 b c))) (fma.f64 (pow.f64 b 3) (+.f64 (/.f64 1/2 (.f64 c (.f64 c (.f64 a 16)))) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 a (pow.f64 c 3)))) -1/2) 16))) (/.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 -4))))
(*.f64 1/2 (/.f64 a b))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 1/2 (/.f64 a b)))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (.f64 1/2 (/.f64 a b)))
(fma.f64 1/2 (/.f64 a b) (/.f64 (.f64 (.f64 c (*.f64 a a)) 1/2) (pow.f64 b 3)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 1/2 (/.f64 a b)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 a b) (.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 a a)) 1/2) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 a b) (/.f64 (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 1) (pow.f64 b 5))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 a a)) 1/2) (pow.f64 b 3)) (fma.f64 1/2 (/.f64 a b) (/.f64 (.f64 (pow.f64 a 3) (*.f64 c c)) (pow.f64 b 5))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/128 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 1/2 (/.f64 a b)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 6)) 5/128) (pow.f64 b 7)) (fma.f64 1/2 (/.f64 a b) (.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))))))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 a a)) 1/2) (pow.f64 b 3)) (-.f64 (fma.f64 1/2 (/.f64 a b) (/.f64 (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 1) (pow.f64 b 5))) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 4)) -5/2) (pow.f64 b 7))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 a a)) 1/2) (pow.f64 b 3)) (+.f64 (fma.f64 1/2 (/.f64 a b) (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 b 5))) (/.f64 (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 4)) 5/2) (pow.f64 b 7))))
(.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))))
(*.f64 1/2 (/.f64 b c))
(+.f64 (.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 -1/2 (/.f64 a b)))
(fma.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (.f64 -1/2 (/.f64 a b)))
(fma.f64 -1/2 (/.f64 a b) (*.f64 1/2 (/.f64 b c)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 a b)))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/4 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (.f64 -1/2 (/.f64 a b)))))
(+.f64 (/.f64 (.f64 (.f64 c (.f64 a a)) 1/2) (pow.f64 b 3)) (+.f64 (.f64 1/2 (/.f64 b c)) (fma.f64 -1/2 (/.f64 a b) (/.f64 (.f64 (.f64 -1 c) (*.f64 a a)) (pow.f64 b 3)))))
(+.f64 (+.f64 (/.f64 (.f64 (.f64 c (.f64 a a)) 1/2) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a b) (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3)))) (.f64 1/2 (/.f64 b c)))
(+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 2) (+.f64 (.f64 1/4 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 -1/8 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))))))) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 (pow.f64 c 2) (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 -1/8 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2)))) (+.f64 (.f64 1/4 (/.f64 (.f64 c (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 a b)) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(fma.f64 1/4 (/.f64 (.f64 (.f64 c a) (.f64 (pow.f64 (sqrt.f64 -4) 2) (.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) 1/8))) (pow.f64 b 5)) (fma.f64 -2 (/.f64 (fma.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (sqrt.f64 -4) 8)) (pow.f64 (.f64 (.f64 -1/8 (.f64 c c)) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4))) 2)) (.f64 (.f64 (.f64 c c) a) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 -2 (/.f64 b (.f64 c (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/4 (/.f64 (.f64 (.f64 c (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 -1/2 (/.f64 a b) (.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4)))))))))))
(fma.f64 1/4 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 a (.f64 -4 (.f64 (.f64 c (.f64 a a)) -1/2)))) (+.f64 (+.f64 (.f64 1/2 (/.f64 b c)) (+.f64 (/.f64 (.f64 (.f64 c (.f64 c (pow.f64 a 3))) 1) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 a b) (/.f64 (.f64 (.f64 -1 c) (.f64 a a)) (pow.f64 b 3))))) (fma.f64 -2 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 c (.f64 c (.f64 (pow.f64 b 5) (.f64 a 16))))) (/.f64 (.f64 (.f64 c (.f64 a a)) 1/2) (pow.f64 b 3)))))
(fma.f64 1/4 (.f64 (/.f64 c (pow.f64 b 5)) (.f64 -4 (.f64 a (.f64 (.f64 c (.f64 a a)) -1/2)))) (+.f64 (+.f64 (.f64 1/2 (/.f64 b c)) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (.f64 c c)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 a b) (/.f64 (.f64 (neg.f64 c) (.f64 a a)) (pow.f64 b 3))))) (fma.f64 -2 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 c (.f64 c (.f64 16 (.f64 a (pow.f64 b 5)))))) (/.f64 (.f64 (.f64 c (.f64 a a)) 1/2) (pow.f64 b 3)))))
(*.f64 1/2 (/.f64 a b))

eval695.0ms (3.6%)

Compiler: Compiled 36832 to 20832 computations (43.4% saved)

prune297.0ms (1.5%)

Pruning

44 alts after pruning (41 fresh and 3 done)

	Pruned	Kept	Total
New	958	25	983
Fresh	6	16	22
Picked	1	0	1
Done	2	3	5
Total	967	44	1011

Error

5.6b

Counts

1011 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	20.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 c c) b)) (cbrt.f64 a)) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	26.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
✓	27.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))
✓	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
	26.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 1 b)) (/.f64 (neg.f64 b) a)))
	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
▶	20.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (.f64 a (/.f64 2 b)))) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	33.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
	35.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
	27.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))
▶	27.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (*.f64 2 a)))
	27.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (sqrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2))) (.f64 -1 b))) (.f64 2 a)))
▶	32.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
	31.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	43.2b	(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	26.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
	39.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)))))
	27.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	34.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
	26.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	26.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
	34.4b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
	49.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a)))
	37.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	24.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b) (/.f64 1/2 a)))
	32.7b	(if (>=.f64 b 0) (exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (.f64 b -2)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	32.5b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
	35.9b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))
▶	39.4b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
	34.6b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))
	37.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
✓	28.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	33.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2) 4) (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (/.f64 (.f64 b b) (fma.f64 (/.f64 c (/.f64 b a)) 2 b)))) (.f64 2 a)))
	32.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
	31.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 -4 a)) (sqrt.f64 c)))))) -1))
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (.f64 (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b))) a)) -1))
	20.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 c b) (.f64 2 a)))) 3) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	26.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
▶	37.4b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
	28.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))

Compiler

Compiled 2770 to 1828 computations (34% saved)

localize115.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	3.2b	(.f64 c (.f64 a (/.f64 2 b)))
✓	4.8b	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (*.f64 a (/.f64 2 b)))) 3)))
✓	18.9b	(cbrt.f64 (.f64 c (.f64 a (/.f64 2 b))))
	24.5b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 183 to 111 computations (39.3% saved)

series9.0ms (0%)

Counts

3 → 47

Calls

27 calls:

Time	Variable		Point	Expression
0.0ms	c	@	0	(cbrt.f64 (.f64 c (.f64 a (/.f64 2 b))))
0.0ms	a	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (*.f64 a (/.f64 2 b)))) 3)))
0.0ms	c	@	inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (*.f64 a (/.f64 2 b)))) 3)))
0.0ms	b	@	0	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (*.f64 a (/.f64 2 b)))) 3)))
0.0ms	a	@	inf	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (*.f64 a (/.f64 2 b)))) 3)))

rewrite122.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`log-prod_binary64`
370×	`pow2_binary64`
298×	`prod-diff_binary64`
260×	`pow1/3_binary64`
257×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	42
1	327	42
2	3841	42

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

Inputs
(cbrt.f64 (.f64 c (.f64 a (/.f64 2 b))))
(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (*.f64 a (/.f64 2 b)))) 3)))
(.f64 c (.f64 a (/.f64 2 b)))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 2 (/.f64 1 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (/.f64 1 (/.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)) c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 c (/.f64 1 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 c c) (/.f64 1 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))) (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))) 2) (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 c c)) 2) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))) 2)) (cbrt.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (+.f64 c c)) (pow.f64 (cbrt.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))) 2)) (/.f64 (sqrt.f64 (+.f64 c c)) (cbrt.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))) (/.f64 2 (sqrt.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 2 (sqrt.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))) (/.f64 c (sqrt.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))) (/.f64 (+.f64 c c) (sqrt.f64 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(+.f64 c c) 3) (pow.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)) (+.f64 c c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 c c) (neg.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 c c) 3) (pow.f64 (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 c (fma.f64 a (*.f64 (/.f64 2 b) c) (*.f64 b -2))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 a (*.f64 (/.f64 2 b) c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 2 b)) c)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 2 b)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 2 b)) c))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 2 b)) c))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 (/.f64 2 b) c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c a) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a 2) c) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c (*.f64 a 2)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 2) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) -2) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c a) 1) (*.f64 b 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 (/.f64 2 b) c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 (/.f64 2 b) c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (*.f64 a (*.f64 (/.f64 2 b) c))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 2 b) c)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 a (*.f64 (/.f64 2 b) c))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a (/.f64 2 b)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a (/.f64 2 b)) 3) (pow.f64 c 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 2 b) c)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) (/.f64 2 b)) c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 (/.f64 2 b) c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 (/.f64 2 b) c)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 c 3) (pow.f64 (*.f64 a (/.f64 2 b)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a (/.f64 2 b)) 3) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 (/.f64 2 b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 (/.f64 2 b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 (/.f64 2 b) c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 (/.f64 2 b) c))) 1))))))

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

100×	`fma-def_binary64`
24×	`fma-neg_binary64`
19×	`*-commutative_binary64`
17×	`associate-/l*_binary64`
16×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Stop Event

1×

saturated

Counts

147 → 104

Calls

Call 1

Inputs
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(*.f64 -1 (/.f64 c b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))
(.f64 2 (/.f64 (.f64 c a) b))

Outputs
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(*.f64 -1 (/.f64 c b))
(neg.f64 (/.f64 c b))
(/.f64 (neg.f64 c) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)
(.f64 2 (/.f64 (.f64 c a) b))
(/.f64 (.f64 2 (.f64 c a)) b)
(/.f64 2 (/.f64 b (*.f64 c a)))
(/.f64 (.f64 a (.f64 c 2)) b)

localize15.0ms (0.1%)

Compiler: Compiled 45 to 21 computations (53.3% saved)

localize27.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1))
✓	13.3b	(/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (.f64 (/.f64 b c) (/.f64 a b)))
✓	13.8b	(*.f64 (/.f64 b c) (/.f64 a b))

Compiler

Compiled 102 to 37 computations (63.7% saved)

series17.0ms (0.1%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	c	@	inf	(/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (.f64 (/.f64 b c) (/.f64 a b)))
1.0ms	c	@	0	(/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (.f64 (/.f64 b c) (/.f64 a b)))
1.0ms	a	@	0	(/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (.f64 (/.f64 b c) (/.f64 a b)))
1.0ms	a	@	inf	(/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (.f64 (/.f64 b c) (/.f64 a b)))
1.0ms	b	@	0	(/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (.f64 (/.f64 b c) (/.f64 a b)))

rewrite127.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

767×	`log-prod_binary64`
348×	`log-div_binary64`
330×	`fma-def_binary64`
230×	`pow1/3_binary64`
229×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	261	42
2	4099	42

Stop Event

1×	node limit

Counts

3 → 252

Calls

Call 1

Inputs
(*.f64 (/.f64 b c) (/.f64 a b))
(/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (.f64 (/.f64 b c) (/.f64 a b)))
(-.f64 (/.f64 a b) (*.f64 (/.f64 b c) 1))

Outputs

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egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (/.f64 a b) (/.f64 b c)) (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (neg.f64 (/.f64 b c)) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 b c) -1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1 (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1 (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (/.f64 a b) (/.f64 b c)) 1 (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 (cbrt.f64 a) (/.f64 1 b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (neg.f64 (cbrt.f64 (/.f64 b c))) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (/.f64 a b)) (pow.f64 (cbrt.f64 (/.f64 a b)) 2) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (/.f64 a b)) 2) (cbrt.f64 (/.f64 a b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) 2) (cbrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 a) (*.f64 (sqrt.f64 a) (/.f64 1 b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b c)) (neg.f64 (sqrt.f64 (/.f64 b c))) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 a b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (sqrt.f64 (-.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 a) (/.f64 1 (neg.f64 b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 b) (/.f64 1 c) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3)) (/.f64 1 (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2))) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3)) (/.f64 1 (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 a b) 3) (pow.f64 (/.f64 b c) 3)) (/.f64 1 (fma.f64 (/.f64 b c) (+.f64 (/.f64 a b) (/.f64 b c)) (pow.f64 (/.f64 a b) 2))) (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 b) a (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (/.f64 b c)) 1 (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2)) (/.f64 1 (+.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2)) (/.f64 1 (+.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (/.f64 a b) 2) (pow.f64 (/.f64 b c) 2)) (/.f64 1 (+.f64 (/.f64 a b) (/.f64 b c))) (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (/.f64 b c))) (cbrt.f64 (neg.f64 (/.f64 b c)))) (cbrt.f64 (neg.f64 (/.f64 b c))) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (/.f64 b c))) (sqrt.f64 (neg.f64 (/.f64 b c))) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 b c) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 b c))) (sqrt.f64 (/.f64 b c)) (/.f64 a b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 b) 2)) (/.f64 a (cbrt.f64 b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 b)) (/.f64 a (sqrt.f64 b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) 1) (/.f64 (cbrt.f64 a) b) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) 1) (/.f64 (sqrt.f64 a) b) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 (/.f64 a b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 a) (pow.f64 (cbrt.f64 b) 2)) (/.f64 (sqrt.f64 a) (cbrt.f64 b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 a) 2) (sqrt.f64 b)) (/.f64 (cbrt.f64 a) (sqrt.f64 b)) (neg.f64 (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 (neg.f64 (/.f64 1 c)) b (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 b c))) (pow.f64 (cbrt.f64 (/.f64 b c)) 2) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (-.f64 (sqrt.f64 (/.f64 a b)) (sqrt.f64 (/.f64 b c))) (fma.f64 -1 (/.f64 b c) (/.f64 b c)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 b c)) 2)) (cbrt.f64 (/.f64 b c)) (/.f64 a b))))))

simplify142.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

248×	`fma-neg_binary64`
230×	`fma-def_binary64`
117×	`div-sub_binary64`
98×	`times-frac_binary64`
89×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	880
1	23	772
2	38	772
3	57	772
4	81	772
5	127	772
6	214	772
7	316	772
8	533	772
9	1060	772
10	1464	772
11	1644	772
12	1767	772
13	1783	772
14	1788	772

Stop Event

1×

saturated

Counts

360 → 263

Calls

Call 1

Inputs
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(*.f64 -1 (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(/.f64 a b)
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))

Outputs
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(/.f64 a c)
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
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(/.f64 c b)
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(-.f64 (/.f64 c b) (/.f64 b a))
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(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
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(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
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(-.f64 (/.f64 c b) (/.f64 b a))
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(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
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(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b a))
(neg.f64 (/.f64 b a))
(/.f64 (neg.f64 b) a)
(/.f64 b (neg.f64 a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
(+.f64 (neg.f64 (/.f64 b a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 b a))
(+.f64 (/.f64 c b) (*.f64 -1 (/.f64 b a)))
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(-.f64 (/.f64 c b) (/.f64 b a))
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(/.f64 c b)
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(-.f64 (/.f64 c b) (/.f64 b a))
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(-.f64 (/.f64 c b) (/.f64 b a))
(/.f64 c b)
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(-.f64 (/.f64 c b) (/.f64 b a))
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(-.f64 (/.f64 c b) (/.f64 b a))
(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
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(-.f64 (/.f64 a b) (/.f64 b c))
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(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
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(/.f64 (neg.f64 b) c)
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(/.f64 b (neg.f64 c))
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(*.f64 -1 (/.f64 b c))
(neg.f64 (/.f64 b c))
(/.f64 (neg.f64 b) c)
(/.f64 b (neg.f64 c))
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(-.f64 (/.f64 a b) (/.f64 b c))
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(/.f64 a b)
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(-.f64 (/.f64 a b) (/.f64 b c))
(/.f64 a b)
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(-.f64 (/.f64 a b) (/.f64 b c))
(+.f64 (/.f64 a b) (*.f64 -1 (/.f64 b c)))
(+.f64 (neg.f64 (/.f64 b c)) (/.f64 a b))
(-.f64 (/.f64 a b) (/.f64 b c))

localize29.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(-.f64 (/.f64 c b) (/.f64 b a))
✓	0.3b	(pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3)
✓	31.0b	(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)

Compiler

Compiled 86 to 35 computations (59.3% saved)

series32.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	c	@	0	(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
3.0ms	b	@	inf	(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
3.0ms	a	@	inf	(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
3.0ms	a	@	0	(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
2.0ms	b	@	0	(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

565×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
337×	`fma-def_binary64`
305×	`pow2_binary64`
206×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	261	23
2	3381	23

Stop Event

1×	node limit

Counts

2 → 180

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3)
(pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3)

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 c b) (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 2)) (*.f64 (/.f64 (neg.f64 b) a) (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 2) (/.f64 c b)) (*.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 2) (/.f64 (neg.f64 b) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3))) 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3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 c b) (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 2) (*.f64 (/.f64 (neg.f64 b) a) (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 2) (/.f64 c b) (*.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 2) (/.f64 (neg.f64 b) a)))))))

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

562×	`associate-r_binary64`
472×	`times-frac_binary64`
435×	`associate-/r*_binary64`
415×	`associate-l_binary64`
390×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	442	4333
1	1688	4109

Stop Event

1×	node limit

Counts

252 → 287

Calls

Call 1

Inputs
(/.f64 (*.f64 (cbrt.f64 -1) b) a)
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) c) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3))) (/.f64 (*.f64 (cbrt.f64 -1) b) a))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) c) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (cbrt.f64 -1) b)) 1/3))) (.f64 3 (/.f64 1 (.f64 a b)))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2)))) (/.f64 (.f64 (cbrt.f64 -1) b) a)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 1/27 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) 3) (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2)))) (.f64 -2/3 (.f64 (.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (cbrt.f64 -1) b)) 1/3))) (.f64 3 (/.f64 1 (.f64 a b))))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 5)) (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 b 5))) 1/3))))) (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2)))) (+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) c) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (cbrt.f64 -1) b)) 1/3))) (.f64 3 (/.f64 1 (.f64 a b)))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2)))) (/.f64 (*.f64 (cbrt.f64 -1) b) a))))
(/.f64 c b)
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 1 a))) (/.f64 c b))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3) (/.f64 1 (pow.f64 a 2))))) (pow.f64 b 2)) c)) (+.f64 (.f64 -1 (*.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 1 a))) (/.f64 c b)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3) (/.f64 1 (pow.f64 a 2))))) (pow.f64 b 2)) c)) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 1 a))) (+.f64 (/.f64 c b) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 a 3) b)) (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))) (.f64 -2 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) (.f64 3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3) (/.f64 1 (pow.f64 a 2))))) a)))) (pow.f64 b 2)) (pow.f64 c 2))))))
(.f64 -1 (/.f64 (.f64 c (cbrt.f64 -1)) b))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) b)) 1/3) (/.f64 1 a))) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) b)) 1/3) (/.f64 1 a))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (.f64 -2 (/.f64 b (pow.f64 a 2)))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))) 1/3) (/.f64 1 (pow.f64 a 2))))) (pow.f64 b 2)) (.f64 c (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) b)) 1/3) (/.f64 1 a))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (/.f64 1 (.f64 (pow.f64 a 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) b)))) (.f64 -2 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 2)) (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (.f64 -2 (/.f64 b (pow.f64 a 2)))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))) 1/3) (/.f64 1 (pow.f64 a 2))))) a)))) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (.f64 -2 (/.f64 b (pow.f64 a 2)))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))) 1/3) (/.f64 1 (pow.f64 a 2))))) (pow.f64 b 2)) (.f64 c (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) b) (pow.f64 c 2))))
(+.f64 (/.f64 c b) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) 2) (pow.f64 c 3)))) (pow.f64 b 3)) (pow.f64 c 2))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) b) (pow.f64 c 2)))))
(+.f64 (.f64 -1/3 (/.f64 (.f64 (+.f64 (/.f64 1 (pow.f64 a 3)) (+.f64 (.f64 2/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) 2) (pow.f64 c 3)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a)))) (pow.f64 c 3))) (.f64 1/27 (/.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) 3) (pow.f64 c 6))))) (pow.f64 b 5)) (pow.f64 c 2))) (+.f64 (/.f64 c b) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) 2) (pow.f64 c 3)))) (pow.f64 b 3)) (pow.f64 c 2))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (*.f64 -2 (/.f64 (pow.f64 c 2) a))) b) (pow.f64 c 2))))))
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(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2)))))))

Outputs
(/.f64 (*.f64 (cbrt.f64 -1) b) a)
(/.f64 (cbrt.f64 -1) (/.f64 a b))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) c) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3))) (/.f64 (*.f64 (cbrt.f64 -1) b) a))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 b b)))) (.f64 c (.f64 3 (/.f64 b (*.f64 a a))))) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(fma.f64 1/3 (.f64 (cbrt.f64 (.f64 (/.f64 a (pow.f64 (cbrt.f64 -1) 2)) (/.f64 a (.f64 b b)))) (.f64 c (.f64 3 (/.f64 b (.f64 a a))))) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) c) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (cbrt.f64 -1) b)) 1/3))) (.f64 3 (/.f64 1 (.f64 a b)))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2)))) (/.f64 (.f64 (cbrt.f64 -1) b) a)))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 b b)))) (.f64 c (.f64 3 (/.f64 b (.f64 a a))))) (fma.f64 -1/3 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 c c)) (fma.f64 1/3 (.f64 (pow.f64 (.f64 3 (/.f64 b (.f64 a a))) 2) (cbrt.f64 (/.f64 a (.f64 (cbrt.f64 -1) b)))) (/.f64 3 (.f64 b a)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 b b))) (/.f64 (cbrt.f64 -1) (/.f64 a b))))
(fma.f64 1/3 (.f64 (cbrt.f64 (.f64 (/.f64 a (pow.f64 (cbrt.f64 -1) 2)) (/.f64 a (.f64 b b)))) (.f64 c (.f64 3 (/.f64 b (.f64 a a))))) (fma.f64 -1/3 (.f64 (/.f64 (.f64 c c) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 (.f64 a a) b) (/.f64 (fma.f64 1/3 (.f64 (pow.f64 (.f64 3 (/.f64 b (.f64 a a))) 2) (cbrt.f64 (/.f64 a (.f64 (cbrt.f64 -1) b)))) (/.f64 3 (*.f64 b a))) b))) (/.f64 (cbrt.f64 -1) (/.f64 a b))))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (/.f64 1 (pow.f64 b 3)) (+.f64 (.f64 1/27 (/.f64 (.f64 (pow.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) 3) (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2)))) (.f64 -2/3 (.f64 (.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (cbrt.f64 -1) b)) 1/3))) (.f64 3 (/.f64 1 (.f64 a b))))) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 5)) (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 b 5))) 1/3))))) (.f64 (pow.f64 c 3) (pow.f64 a 2))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2)))) (+.f64 (.f64 1/3 (.f64 (.f64 (+.f64 (/.f64 b (pow.f64 a 2)) (.f64 2 (/.f64 b (pow.f64 a 2)))) c) (pow.f64 (/.f64 (.f64 1 (pow.f64 a 2)) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (+.f64 (.f64 1/3 (.f64 (pow.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) 2) (pow.f64 (/.f64 (.f64 1 a) (.f64 (cbrt.f64 -1) b)) 1/3))) (.f64 3 (/.f64 1 (.f64 a b)))))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2)))) (/.f64 (*.f64 (cbrt.f64 -1) b) a))))
(fma.f64 1/3 (.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 b 3)) (fma.f64 1/27 (/.f64 (pow.f64 (.f64 3 (/.f64 b (.f64 a a))) 3) (/.f64 (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 b b)) (.f64 a a))) (.f64 -2/3 (.f64 (.f64 3 (/.f64 b (.f64 a a))) (.f64 (fma.f64 1/3 (.f64 (pow.f64 (.f64 3 (/.f64 b (.f64 a a))) 2) (cbrt.f64 (/.f64 a (.f64 (cbrt.f64 -1) b)))) (/.f64 3 (.f64 b a))) (cbrt.f64 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 b 5))))))))) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (.f64 (.f64 a a) (pow.f64 c 3)) (.f64 b b))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (.f64 a a) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 b b)))) (.f64 c (.f64 3 (/.f64 b (.f64 a a))))) (fma.f64 -1/3 (/.f64 (.f64 (.f64 (.f64 a a) (.f64 c c)) (fma.f64 1/3 (.f64 (pow.f64 (.f64 3 (/.f64 b (.f64 a a))) 2) (cbrt.f64 (/.f64 a (.f64 (cbrt.f64 -1) b)))) (/.f64 3 (.f64 b a)))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (.f64 b b))) (/.f64 (cbrt.f64 -1) (/.f64 a b)))))
(fma.f64 1/3 (.f64 (/.f64 (-.f64 (/.f64 1 (pow.f64 b 3)) (fma.f64 1/27 (.f64 (/.f64 (.f64 27 (pow.f64 (/.f64 b (.f64 a a)) 3)) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 a b) (/.f64 a b))) (.f64 (.f64 (.f64 -2/3 (.f64 3 (/.f64 b (.f64 a a)))) (fma.f64 1/3 (.f64 (pow.f64 (.f64 3 (/.f64 b (.f64 a a))) 2) (cbrt.f64 (/.f64 a (.f64 (cbrt.f64 -1) b)))) (/.f64 3 (.f64 b a)))) (cbrt.f64 (/.f64 (pow.f64 a 5) (.f64 (pow.f64 (cbrt.f64 -1) 5) (pow.f64 b 5))))))) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 (.f64 a a) b) (/.f64 (pow.f64 c 3) b))) (fma.f64 1/3 (.f64 (cbrt.f64 (.f64 (/.f64 a (pow.f64 (cbrt.f64 -1) 2)) (/.f64 a (.f64 b b)))) (.f64 c (.f64 3 (/.f64 b (.f64 a a))))) (fma.f64 -1/3 (.f64 (/.f64 (.f64 c c) (pow.f64 (cbrt.f64 -1) 2)) (.f64 (/.f64 (.f64 a a) b) (/.f64 (fma.f64 1/3 (.f64 (pow.f64 (.f64 3 (/.f64 b (.f64 a a))) 2) (cbrt.f64 (/.f64 a (.f64 (cbrt.f64 -1) b)))) (/.f64 3 (*.f64 b a))) b))) (/.f64 (cbrt.f64 -1) (/.f64 a b)))))
(/.f64 c b)
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 1 a))) (/.f64 c b))
(fma.f64 -1 (*.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 1 a)) (/.f64 c b))
(-.f64 (/.f64 c b) (/.f64 (cbrt.f64 (/.f64 1 b)) a))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3) (/.f64 1 (pow.f64 a 2))))) (pow.f64 b 2)) c)) (+.f64 (.f64 -1 (*.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 1 a))) (/.f64 c b)))
(fma.f64 1/3 (/.f64 (+.f64 (.f64 3 (/.f64 b (.f64 a a))) (.f64 -3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 5))) (/.f64 1 (.f64 a a))))) (/.f64 c (.f64 b b))) (fma.f64 -1 (*.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 1 a)) (/.f64 c b)))
(fma.f64 1/3 (/.f64 (.f64 3 (-.f64 (/.f64 b (.f64 a a)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 5))) (*.f64 a a)))) (/.f64 (/.f64 c b) b)) (-.f64 (/.f64 c b) (/.f64 (cbrt.f64 (/.f64 1 b)) a)))
(+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3) (/.f64 1 (pow.f64 a 2))))) (pow.f64 b 2)) c)) (+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 b) 1/3) (/.f64 1 a))) (+.f64 (/.f64 c b) (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 a 3) b)) (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))) (.f64 -2 (.f64 (pow.f64 (.f64 1 (pow.f64 b 2)) 1/3) (/.f64 (-.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) (.f64 3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 b 5)) 1/3) (/.f64 1 (pow.f64 a 2))))) a)))) (pow.f64 b 2)) (pow.f64 c 2))))))
(fma.f64 1/3 (/.f64 (+.f64 (.f64 3 (/.f64 b (.f64 a a))) (.f64 -3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 5))) (/.f64 1 (.f64 a a))))) (/.f64 c (.f64 b b))) (+.f64 (fma.f64 -1 (.f64 (cbrt.f64 (/.f64 1 b)) (/.f64 1 a)) (/.f64 c b)) (.f64 1/3 (/.f64 (-.f64 (+.f64 (/.f64 1 (.f64 b (pow.f64 a 3))) (/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3))) (.f64 (.f64 -2 (cbrt.f64 (.f64 b b))) (/.f64 (+.f64 (.f64 3 (/.f64 b (.f64 a a))) (.f64 -3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 5))) (/.f64 1 (.f64 a a))))) a))) (/.f64 (.f64 c c) (*.f64 b b))))))
(fma.f64 1/3 (/.f64 (.f64 3 (-.f64 (/.f64 b (.f64 a a)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 5))) (.f64 a a)))) (/.f64 (/.f64 c b) b)) (-.f64 (fma.f64 1/3 (/.f64 (+.f64 (-.f64 (/.f64 1 (.f64 b (pow.f64 a 3))) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 (.f64 2 (cbrt.f64 (.f64 b b))) (/.f64 (.f64 3 (-.f64 (/.f64 b (.f64 a a)) (/.f64 (cbrt.f64 (/.f64 1 (pow.f64 b 5))) (.f64 a a)))) a))) (*.f64 (/.f64 c b) (/.f64 c b))) (/.f64 c b)) (/.f64 (cbrt.f64 (/.f64 1 b)) a)))
(.f64 -1 (/.f64 (.f64 c (cbrt.f64 -1)) b))
(neg.f64 (/.f64 c (/.f64 b (cbrt.f64 -1))))
(/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1)) b)
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) b)) 1/3) (/.f64 1 a))) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))
(fma.f64 -1 (.f64 (/.f64 1 a) (cbrt.f64 (/.f64 1 (.f64 b (pow.f64 (cbrt.f64 -1) 2))))) (neg.f64 (/.f64 c (/.f64 b (cbrt.f64 -1)))))
(-.f64 (/.f64 (*.f64 (neg.f64 c) (cbrt.f64 -1)) b) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 b) (pow.f64 (cbrt.f64 -1) 2))) a))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) b)) 1/3) (/.f64 1 a))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (.f64 -2 (/.f64 b (pow.f64 a 2)))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))) 1/3) (/.f64 1 (pow.f64 a 2))))) (pow.f64 b 2)) (.f64 c (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b))))
(fma.f64 -1 (.f64 (/.f64 1 a) (cbrt.f64 (/.f64 1 (.f64 b (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 -1/3 (.f64 (/.f64 (-.f64 (.f64 (/.f64 b (.f64 a a)) -3) (.f64 (.f64 3 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))))) (/.f64 1 (.f64 a a)))) c) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -1) 2))) (neg.f64 (/.f64 c (/.f64 b (cbrt.f64 -1))))))
(-.f64 (-.f64 (.f64 (/.f64 (fma.f64 (/.f64 b (.f64 a a)) -3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5)))) (.f64 a a)) -3)) c) (.f64 (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -1) 2)) -1/3)) (.f64 (/.f64 c b) (cbrt.f64 -1))) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 b) (pow.f64 (cbrt.f64 -1) 2))) a))
(+.f64 (.f64 -1 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) b)) 1/3) (/.f64 1 a))) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (/.f64 1 (.f64 (pow.f64 a 3) (.f64 (pow.f64 (cbrt.f64 -1) 2) b)))) (.f64 -2 (.f64 (pow.f64 (/.f64 (.f64 1 (pow.f64 b 2)) (pow.f64 (cbrt.f64 -1) 5)) 1/3) (/.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (.f64 -2 (/.f64 b (pow.f64 a 2)))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))) 1/3) (/.f64 1 (pow.f64 a 2))))) a)))) (pow.f64 b 2)) (.f64 (pow.f64 c 2) (pow.f64 (cbrt.f64 -1) 2)))) (+.f64 (.f64 -1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (.f64 -2 (/.f64 b (pow.f64 a 2)))) (.f64 3 (.f64 (pow.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))) 1/3) (/.f64 1 (pow.f64 a 2))))) (pow.f64 b 2)) (.f64 c (pow.f64 (cbrt.f64 -1) 2)))) (.f64 -1 (/.f64 (*.f64 c (cbrt.f64 -1)) b)))))
(fma.f64 -1 (.f64 (/.f64 1 a) (cbrt.f64 (/.f64 1 (.f64 b (pow.f64 (cbrt.f64 -1) 2))))) (fma.f64 1/3 (.f64 (/.f64 (+.f64 (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (/.f64 (/.f64 1 (pow.f64 a 3)) (.f64 b (pow.f64 (cbrt.f64 -1) 2)))) (.f64 2 (/.f64 (.f64 (cbrt.f64 (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -1) 5))) (-.f64 (.f64 (/.f64 b (.f64 a a)) -3) (.f64 (.f64 3 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))))) (/.f64 1 (.f64 a a))))) a))) (.f64 c c)) (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -1) 2))) (fma.f64 -1/3 (.f64 (/.f64 (-.f64 (.f64 (/.f64 b (.f64 a a)) -3) (.f64 (.f64 3 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5))))) (/.f64 1 (.f64 a a)))) c) (/.f64 (*.f64 b b) (pow.f64 (cbrt.f64 -1) 2))) (neg.f64 (/.f64 c (/.f64 b (cbrt.f64 -1)))))))
(-.f64 (fma.f64 1/3 (.f64 (.f64 (/.f64 b c) (/.f64 b c)) (/.f64 (-.f64 (-.f64 (/.f64 (/.f64 1 (.f64 b (pow.f64 a 3))) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (/.f64 (.f64 (.f64 -2 (cbrt.f64 (/.f64 b (/.f64 (pow.f64 (cbrt.f64 -1) 5) b)))) (fma.f64 (/.f64 b (.f64 a a)) -3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5)))) (.f64 a a)) -3))) a)) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (.f64 (/.f64 (fma.f64 (/.f64 b (.f64 a a)) -3 (.f64 (/.f64 (cbrt.f64 (/.f64 1 (.f64 (cbrt.f64 -1) (pow.f64 b 5)))) (.f64 a a)) -3)) c) (.f64 (/.f64 (.f64 b b) (pow.f64 (cbrt.f64 -1) 2)) -1/3)) (*.f64 (/.f64 c b) (cbrt.f64 -1)))) (/.f64 (cbrt.f64 (/.f64 (/.f64 1 b) (pow.f64 (cbrt.f64 -1) 2))) a))
(/.f64 c b)
(+.f64 (/.f64 c b) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) b) (pow.f64 c 2))))
(+.f64 (/.f64 c b) (.f64 1/3 (/.f64 (.f64 (/.f64 (.f64 c c) a) -3) (/.f64 (.f64 c c) b))))
(fma.f64 1/3 (.f64 (/.f64 b c) (/.f64 (/.f64 (.f64 (*.f64 c c) -3) a) c)) (/.f64 c b))
(+.f64 (/.f64 c b) (+.f64 (.f64 1/3 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) (.f64 1/3 (/.f64 (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) 2) (pow.f64 c 3)))) (pow.f64 b 3)) (pow.f64 c 2))) (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) a)) (.f64 -2 (/.f64 (pow.f64 c 2) a))) b) (pow.f64 c 2)))))
(+.f64 (/.f64 c b) (.f64 1/3 (+.f64 (/.f64 (+.f64 (.f64 3 (/.f64 c (.f64 a a))) (.f64 -1/3 (/.f64 (pow.f64 (.f64 (/.f64 (.f64 c c) a) -3) 2) (pow.f64 c 3)))) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (/.f64 (.f64 c c) a) -3) (/.f64 (.f64 c c) b)))))
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(+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (.f64 c (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (.f64 -2 (/.f64 b (pow.f64 a 2)))))) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (fma.f64 -1 (.f64 c (.f64 (/.f64 b (*.f64 a a)) -3)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(fma.f64 -3 (.f64 (/.f64 c b) (/.f64 c a)) (-.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 (/.f64 b (.f64 a a)) (.f64 -3 c))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (.f64 c (+.f64 (.f64 -1 (/.f64 b (pow.f64 a 2))) (*.f64 -2 (/.f64 b (pow.f64 a 2)))))) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (fma.f64 -1 (.f64 c (.f64 (/.f64 b (*.f64 a a)) -3)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(-.f64 (fma.f64 -3 (.f64 (/.f64 c b) (/.f64 c a)) (-.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 (/.f64 b (.f64 a a)) (.f64 -3 c)))) (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b)))))
(fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (.f64 (+.f64 (/.f64 c (pow.f64 a 2)) (.f64 2 (/.f64 c (pow.f64 a 2)))) b) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))))))
(fma.f64 (.f64 3 (/.f64 c (.f64 a a))) b (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(fma.f64 b (.f64 3 (/.f64 c (.f64 a a))) (fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))))
(+.f64 (.f64 (+.f64 (/.f64 c (pow.f64 a 2)) (.f64 2 (/.f64 c (pow.f64 a 2)))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(fma.f64 (.f64 3 (/.f64 c (.f64 a a))) b (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(fma.f64 b (.f64 3 (/.f64 c (.f64 a a))) (-.f64 (fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(fma.f64 (.f64 3 (/.f64 c (.f64 a a))) b (/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3)))
(fma.f64 b (.f64 3 (/.f64 c (.f64 a a))) (/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (*.f64 a b))))))
(fma.f64 (.f64 3 (/.f64 c (.f64 a a))) b (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (/.f64 (.f64 -3 (.f64 c c)) (*.f64 b a))))
(fma.f64 b (.f64 3 (/.f64 c (.f64 a a))) (-.f64 (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 2 (/.f64 c (pow.f64 a 2))) (/.f64 c (pow.f64 a 2))) b) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -1 (/.f64 (pow.f64 c 2) (*.f64 a b)))))))
(fma.f64 (.f64 3 (/.f64 c (.f64 a a))) b (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))))
(fma.f64 b (.f64 3 (/.f64 c (.f64 a a))) (-.f64 (fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3))
(+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2)))))))
(.f64 -1 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 (/.f64 c (.f64 a a)) -3))))
(-.f64 (/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3)) (.f64 b (.f64 (/.f64 c (*.f64 a a)) -3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) a) (.f64 2 (/.f64 (pow.f64 c 2) a))) b)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2))))))))
(fma.f64 -1 (/.f64 (.f64 3 (/.f64 (.f64 c c) a)) b) (.f64 -1 (+.f64 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (.f64 b (.f64 (/.f64 c (.f64 a a)) -3)))))
(-.f64 (-.f64 (.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 b (.f64 (/.f64 c (.f64 a a)) -3)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) a) (.f64 2 (/.f64 (pow.f64 c 2) a))) b)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 -1 (.f64 b (+.f64 (.f64 -2 (/.f64 c (pow.f64 a 2))) (*.f64 -1 (/.f64 c (pow.f64 a 2)))))))))
(fma.f64 -1 (/.f64 (.f64 3 (/.f64 (.f64 c c) a)) b) (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (neg.f64 (.f64 b (.f64 (/.f64 c (*.f64 a a)) -3))))))
(+.f64 (.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a)) (-.f64 (-.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 b (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(*.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)))
(/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2)))))
(+.f64 (/.f64 (.f64 b c) (.f64 a a)) (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (/.f64 (.f64 (.f64 2 c) b) (*.f64 a a))))
(+.f64 (.f64 (/.f64 c (.f64 a a)) b) (-.f64 (.f64 2 (.f64 (/.f64 c (*.f64 a a)) b)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2)))))))
(+.f64 (/.f64 (.f64 b c) (.f64 a a)) (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (.f64 -3 (.f64 c c)) (.f64 b a)) (/.f64 (.f64 (.f64 2 c) b) (.f64 a a)))))
(+.f64 (.f64 (/.f64 c (.f64 a a)) b) (-.f64 (fma.f64 2 (.f64 (/.f64 c (.f64 a a)) b) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a))) (/.f64 (pow.f64 b 3) (pow.f64 a 3))))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2))))))))
(+.f64 (/.f64 (.f64 b c) (.f64 a a)) (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 -3 (.f64 c c)) (.f64 b a)) (/.f64 (.f64 (.f64 2 c) b) (.f64 a a))))))
(+.f64 (-.f64 (.f64 (/.f64 c (.f64 a a)) b) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 2 (.f64 (/.f64 c (.f64 a a)) b) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a)))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b)))))
(fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 2 (/.f64 (*.f64 c b) (pow.f64 a 2)))))))
(+.f64 (/.f64 (.f64 b c) (.f64 a a)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 -3 (.f64 c c)) (.f64 b a)) (/.f64 (.f64 (.f64 2 c) b) (.f64 a a)))))
(+.f64 (fma.f64 -3 (.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (/.f64 c (.f64 a a)) b)) (.f64 (/.f64 c (.f64 a a)) b)))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -2 (/.f64 (pow.f64 c 2) (.f64 a b))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2))))))))
(+.f64 (/.f64 (.f64 b c) (.f64 a a)) (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 -3 (.f64 c c)) (.f64 b a)) (/.f64 (.f64 (.f64 2 c) b) (.f64 a a))))))
(+.f64 (-.f64 (.f64 (/.f64 c (.f64 a a)) b) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 2 (.f64 (/.f64 c (.f64 a a)) b) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a)))))
(/.f64 (pow.f64 c 3) (pow.f64 b 3))
(+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)))
(fma.f64 -3 (/.f64 (.f64 c c) (.f64 b a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(fma.f64 -3 (*.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3)))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)) (.f64 2 (/.f64 (*.f64 c b) (pow.f64 a 2))))))
(+.f64 (/.f64 (.f64 b c) (.f64 a a)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 -3 (.f64 c c)) (.f64 b a)) (/.f64 (.f64 (.f64 2 c) b) (.f64 a a)))))
(+.f64 (fma.f64 -3 (.f64 (/.f64 c b) (/.f64 c a)) (/.f64 (pow.f64 c 3) (pow.f64 b 3))) (+.f64 (.f64 2 (.f64 (/.f64 c (.f64 a a)) b)) (.f64 (/.f64 c (.f64 a a)) b)))
(+.f64 (/.f64 (.f64 c b) (pow.f64 a 2)) (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (/.f64 (pow.f64 c 2) b) (.f64 2 (/.f64 (pow.f64 c 2) b))) a)) (.f64 2 (/.f64 (.f64 c b) (pow.f64 a 2)))))))
(+.f64 (/.f64 (.f64 b c) (.f64 a a)) (fma.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3)) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (+.f64 (/.f64 (.f64 -3 (.f64 c c)) (.f64 b a)) (/.f64 (.f64 (.f64 2 c) b) (.f64 a a))))))
(+.f64 (-.f64 (.f64 (/.f64 c (.f64 a a)) b) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 3)) (fma.f64 2 (.f64 (/.f64 c (.f64 a a)) b) (*.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a)))))

localize97.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	5.7b	(.f64 (/.f64 (.f64 c 2) b) a)
✓	8.4b	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
	15.7b	(sqrt.f64 (.f64 c (.f64 a -4)))
✓	18.5b	(-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (*.f64 b b))

Compiler

Compiled 208 to 121 computations (41.8% saved)

series31.0ms (0.2%)

Counts

2 → 50

Calls

18 calls:

Time	Variable		Point	Expression
10.0ms	a	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
4.0ms	c	@	inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
3.0ms	c	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
3.0ms	a	@	inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))
1.0ms	b	@	-inf	(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`log-prod_binary64`
569×	`fma-def_binary64`
344×	`fma-neg_binary64`
277×	`expm1-udef_binary64`
277×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	318	51
2	4525	51

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

Inputs
(-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (*.f64 b b))
(/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (*.f64 a -4))))))

Outputs

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(-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) 3) (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (/.f64 1 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (cbrt.f64 (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (cbrt.f64 (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (sqrt.f64 (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1) (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) 1) (/.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) 2)) (/.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (/.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (sqrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (+.f64 (pow.f64 b 3) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/2))) (-.f64 (fma.f64 b b (fma.f64 c (*.f64 a -4) (*.f64 b b))) (*.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (-.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (neg.f64 (/.f64 (*.f64 b b) (+.f64 b (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))))))

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

870×	`times-frac_binary64`
632×	`fma-def_binary64`
604×	`associate-/l*_binary64`
463×	`associate-/r*_binary64`
374×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	126	1008
1	399	846
2	1620	774

Stop Event

1×	node limit

Counts

214 → 190

Calls

Call 1

Inputs
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 c a))
(.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(.f64 -2 (/.f64 (.f64 c a) b))

Outputs
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 a (.f64 c -4))
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4))))
(.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4)
(.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (.f64 -4 (.f64 (sqrt.f64 (*.f64 c a)) (/.f64 1 (sqrt.f64 -4)))))
(fma.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4 (/.f64 (.f64 4 b) -4))
(fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (.f64 -1 b))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (.f64 b b)) (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))))))
(fma.f64 4 (/.f64 b -4) (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2)) (*.f64 b b))))
(fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -4))) (.f64 b b) (.f64 -1 b)))
(+.f64 (.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (pow.f64 b 2))) (+.f64 (.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4)))) (.f64 -1 (.f64 (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (+.f64 (.f64 4 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 -2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (sqrt.f64 -4)))) (.f64 2 (/.f64 1 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 4)))))) (pow.f64 b 3))))))
(fma.f64 4 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 -1 (.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (.f64 b b)) (fma.f64 -4 (.f64 (sqrt.f64 (.f64 c a)) (/.f64 1 (sqrt.f64 -4))) (neg.f64 (.f64 (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) 2) (sqrt.f64 -4))) (/.f64 2 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))) (pow.f64 b 3))))))
(fma.f64 4 (/.f64 b -4) (-.f64 (-.f64 (.f64 (/.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) -4) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2)) (.f64 b b))) (.f64 (-.f64 (/.f64 2 (.f64 c (.f64 a 16))) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (/.f64 -1/4 (sqrt.f64 -4)) 2))) (sqrt.f64 -4))) (pow.f64 b 3))))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (/.f64 -4 (sqrt.f64 -4)) (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (/.f64 1/2 (sqrt.f64 -4))) (.f64 b b) (.f64 -1 b))) (.f64 (fma.f64 (/.f64 (.f64 2 (sqrt.f64 (/.f64 (/.f64 1 c) a))) 16) (neg.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a))) (/.f64 (/.f64 1/8 a) c)) (pow.f64 b 3)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -2 (/.f64 (*.f64 c a) b)))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 -2 (.f64 a (/.f64 c b)) (/.f64 (.f64 -2 (.f64 a (.f64 a (*.f64 c c)))) (pow.f64 b 3)))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (.f64 c a) b))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (.f64 -2 (/.f64 c (/.f64 b a)))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 -1/4 (/.f64 (pow.f64 b 5) (.f64 (*.f64 (pow.f64 c 3) 16) (pow.f64 a 3))))))
(fma.f64 -2 (.f64 a (/.f64 c b)) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 -2 (.f64 a (.f64 a (*.f64 c c)))) (pow.f64 b 3))))
(+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/32 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))))) (pow.f64 b 7))) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 -1 (/.f64 (.f64 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 6))) -5/32) (pow.f64 b 7)) (fma.f64 -1/4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (-.f64 (fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 -1/4 (/.f64 (pow.f64 b 5) (.f64 (.f64 (pow.f64 c 3) 16) (pow.f64 a 3))))) (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(-.f64 (fma.f64 -2 (.f64 a (/.f64 c b)) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (/.f64 (.f64 -2 (.f64 a (.f64 a (.f64 c c)))) (pow.f64 b 3)))) (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (/.f64 (pow.f64 b 7) 10)))
(*.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))
(*.f64 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) 8)
(*.f64 (/.f64 b -4) 8)
(*.f64 -2 b)
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 2 (/.f64 (*.f64 c a) b)))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (*.f64 2 (/.f64 c (/.f64 b a))))
(fma.f64 2 (.f64 (/.f64 c b) a) (.f64 (/.f64 b -4) 8))
(fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))))))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 2 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) -1/2)))
(fma.f64 (/.f64 b -4) 8 (fma.f64 2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) 2) (pow.f64 b 3))))
(+.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (/.f64 (.f64 2 (.f64 a (.f64 a (.f64 c c)))) (pow.f64 b 3)))
(+.f64 (.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 1/4 (/.f64 (.f64 (+.f64 (.f64 -1 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2)))) (.f64 1/2 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))))) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (+.f64 (.f64 8 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8)))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 c (.f64 a (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 2))) (pow.f64 b 3))) (.f64 -1/4 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 5)))))))))
(fma.f64 8 (/.f64 b (pow.f64 (sqrt.f64 -4) 2)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 1/4 (/.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) -1/2) (/.f64 (pow.f64 b 5) (.f64 c (.f64 a (pow.f64 (sqrt.f64 -4) 2))))) (fma.f64 1/2 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (fma.f64 8 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 a 4) (pow.f64 (sqrt.f64 -4) 8))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 4))) 2)) (.f64 (.f64 c a) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 b 5)))) (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (sqrt.f64 -4) 2)) (pow.f64 b 3)) (/.f64 (.f64 -1/4 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -4) 4) (pow.f64 a 3)))) (pow.f64 b 5))))))))
(fma.f64 (/.f64 b -4) 8 (fma.f64 2 (.f64 (/.f64 c b) a) (+.f64 (fma.f64 8 (/.f64 (+.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16) (pow.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) 2)) (.f64 c (.f64 (.f64 a 16) (pow.f64 b 5)))) (fma.f64 -1/4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 16 (pow.f64 a 3))) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) 4) (pow.f64 b 3)))) (fma.f64 1/4 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) 2) (/.f64 (pow.f64 b 5) (.f64 a (.f64 c -4)))) (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3))))))
(+.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (fma.f64 1/4 (.f64 (.f64 c (.f64 a -4)) (/.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 (pow.f64 b 5) 2))) (+.f64 (/.f64 (.f64 2 (.f64 a (.f64 a (.f64 c c)))) (pow.f64 b 3)) (fma.f64 -1/4 (.f64 (.f64 16 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 (pow.f64 c 4) 1/16) (.f64 (pow.f64 c 4) 1/64))) (.f64 (*.f64 c a) (pow.f64 b 5))) 1/2)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(.f64 -2 (.f64 (/.f64 c b) a))
(.f64 -2 (.f64 a (/.f64 c b)))

eval678.0ms (3.5%)

Compiler: Compiled 48630 to 24862 computations (48.9% saved)

prune241.0ms (1.3%)

Pruning

57 alts after pruning (53 fresh and 4 done)

	Pruned	Kept	Total
New	1086	23	1109
Fresh	6	30	36
Picked	1	0	1
Done	3	4	7
Total	1096	57	1153

Error

5.5b

Counts

1153 → 57

Alt Table

Click to see full alt table

Status	Error	Program
	37.5b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3) 3) 1/3))
	38.7b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))) 3) 1/3))
	20.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 c c) b)) (cbrt.f64 a)) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	26.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
	37.4b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3))) 1/3))
✓	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
	39.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (-.f64 (-.f64 (.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 b (.f64 (/.f64 c (*.f64 a a)) -3))) 1/3))
	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
	33.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
	39.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
✓	20.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (.f64 a (/.f64 2 b)))) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	33.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
	27.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))
	31.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)))))
	32.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
	39.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	32.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
	39.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3)) (.f64 b (.f64 (/.f64 c (.f64 a a)) -3))) 1/3))
	26.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
	33.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 (/.f64 a b) (/.f64 (.f64 b a) b)) c (neg.f64 (*.f64 (/.f64 b c) (/.f64 (/.f64 b a) (/.f64 b c))))))
	30.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 b b)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 3 (*.f64 b c))) (/.f64 (cbrt.f64 -1) (/.f64 a b))))
	27.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	34.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
	26.9b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
	26.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
	34.4b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
	30.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3) (+.f64 (.f64 2 (.f64 c b)) (.f64 c b)))) (/.f64 (.f64 (cbrt.f64 -1) b) a)))
	49.6b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a)))
	37.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	35.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
	24.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b) (/.f64 1/2 a)))
	32.7b	(if (>=.f64 b 0) (exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (.f64 b -2)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	39.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) c))) 1/3))
	40.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a b) (/.f64 b c)))))))
✓	39.4b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
	40.1b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (/.f64 c b) 3) 1/3))
	37.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
	34.6b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))
	28.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
	40.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (log.f64 (exp.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (.f64 (/.f64 b c) (/.f64 a b))))
	36.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (exp.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (.f64 (/.f64 b c) (/.f64 a b))))
	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
✓	28.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	33.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
	33.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2) 4) (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (/.f64 (.f64 b b) (fma.f64 (/.f64 c (/.f64 b a)) 2 b)))) (.f64 2 a)))
	32.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
	32.5b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
	31.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 -4 a)) (sqrt.f64 c)))))) -1))
	27.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)))
	22.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	28.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (.f64 (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b))) a)) -1))
	20.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 c b) (.f64 2 a)))) 3) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	26.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
	26.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
	43.2b	(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Compiler

Compiled 1871 to 1242 computations (33.6% saved)

regimes1.2s (6.4%)

Counts

90 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 (/.f64 a b) (/.f64 (.f64 b a) b)) c (neg.f64 (*.f64 (/.f64 b c) (/.f64 (/.f64 b a) (/.f64 b c))))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (/.f64 c b) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (log.f64 (exp.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (exp.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a b) (/.f64 b c)))))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (sqrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2))) (.f64 -1 b))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (.f64 b -2)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) -1))
(if (>=.f64 b 0) (exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (.f64 a (/.f64 2 b)))) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (/.f64 c b)) a)) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (.f64 (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b))) a)) -1))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3)) (.f64 b (.f64 (/.f64 c (.f64 a a)) -3))) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (+.f64 (fma.f64 b b (.f64 b b)) (.f64 a (.f64 4 c))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (-.f64 (-.f64 (.f64 (/.f64 c (/.f64 b c)) (/.f64 -3 a)) (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (.f64 b (.f64 (/.f64 c (*.f64 a a)) -3))) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 (.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2) 4) (fma.f64 (/.f64 c (/.f64 b a)) 2 b)) (/.f64 (.f64 b b) (fma.f64 (/.f64 c (/.f64 b a)) 2 b)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (expm1.f64 (log1p.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3))) 1/3))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (pow.f64 (cbrt.f64 c) 2) (.f64 (cbrt.f64 c) (/.f64 1 b)) (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (exp.f64 (log.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 -4 a)) (sqrt.f64 c)))))) -1))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (pow.f64 (sqrt.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b)) 2) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (.f64 (cbrt.f64 (/.f64 (+.f64 c c) b)) (cbrt.f64 a)) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 c b) (.f64 2 a)))) 3) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 (/.f64 1 (.f64 b b)) (pow.f64 (cbrt.f64 -1) 2))) (.f64 3 (*.f64 b c))) (/.f64 (cbrt.f64 -1) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 b 2))) 1/3) (+.f64 (.f64 2 (.f64 c b)) (.f64 c b)))) (/.f64 (.f64 (cbrt.f64 -1) b) a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 3) (pow.f64 a 3))) (+.f64 (.f64 -3 (/.f64 (pow.f64 c 2) (.f64 a b))) (.f64 (+.f64 (.f64 2 (/.f64 b (pow.f64 a 2))) (/.f64 b (pow.f64 a 2))) c))) 1/3))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))) 2)) (cbrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 (cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))) 2)) a) (/.f64 (cbrt.f64 (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))) 2)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))) (sqrt.f64 (log.f64 (-.f64 (/.f64 c b) (/.f64 b a))))) 3) 1/3))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (+.f64 (.f64 b b) (fma.f64 c (.f64 a -4) (fma.f64 c (.f64 a -4) (.f64 a (.f64 4 c))))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

4 calls:

461.0ms	a
276.0ms	c
247.0ms	b
191.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Results

Error	Segments	Branch
14.4b	7	`a`
9.0b	3	`b`
15.4b	5	`c`
8.8b	5	`(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))`

Compiler

Compiled 2846 to 1541 computations (45.9% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.004497749045219e+284	+inf
0.0ms	0.0	2.287521e-317
0.0ms	-2.0648244551081974e-253	-5.328340054837307e-297
0.0ms	-inf	-6.525538284292847e+254

Compiler

Compiled 47 to 31 computations (34% saved)

regimes549.0ms (2.8%)

Counts

68 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 (/.f64 a b) (/.f64 (.f64 b a) b)) c (neg.f64 (*.f64 (/.f64 b c) (/.f64 (/.f64 b a) (/.f64 b c))))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (/.f64 c b) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (log.f64 (exp.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (exp.f64 (log.f64 (-.f64 (/.f64 a b) (/.f64 b c)))) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (/.f64 (.f64 c (.f64 a -4)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (/.f64 (.f64 a (.f64 4 c)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (/.f64 a b) (/.f64 b c)))))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (sqrt.f64 (pow.f64 (/.f64 c (/.f64 b a)) 2))) (.f64 -1 b))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 (/.f64 (+.f64 c c) b) a (.f64 b -2)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (/.f64 a (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c))))))) -1))
(if (>=.f64 b 0) (exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 c (.f64 a (/.f64 2 b)))) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (.f64 2 (/.f64 c b)) a)) 3))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (.f64 2 (.f64 (/.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b))) a)) -1))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 3/2))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 b 3)) (pow.f64 a 3)) (.f64 b (.f64 (/.f64 c (.f64 a a)) -3))) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (/.f64 (-.f64 (fma.f64 b b (.f64 c (.f64 a -4))) (.f64 b b)) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

4 calls:

163.0ms	a
144.0ms	c
111.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
86.0ms	b

Results

Error	Segments	Branch
17.1b	4	`a`
9.0b	3	`b`
17.7b	4	`c`
8.8b	5	`(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))`

Compiler

Compiled 2016 to 1083 computations (46.3% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.004497749045219e+284	+inf
0.0ms	0.0	2.287521e-317
0.0ms	-2.0648244551081974e-253	-5.328340054837307e-297
0.0ms	-inf	-6.525538284292847e+254

Compiler

Compiled 47 to 31 computations (34% saved)

regimes359.0ms (1.9%)

Counts

48 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 (/.f64 a b) (/.f64 (.f64 b a) b)) c (neg.f64 (*.f64 (/.f64 b c) (/.f64 (/.f64 b a) (/.f64 b c))))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (/.f64 c b) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (expm1.f64 (log1p.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (pow.f64 (pow.f64 (-.f64 (/.f64 c b) (/.f64 b a)) 3) 1/3))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1/2 (/.f64 a (+.f64 b (hypot.f64 (sqrt.f64 (.f64 c (*.f64 -4 a))) b)))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (pow.f64 b 2))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

4 calls:

101.0ms	a
82.0ms	c
70.0ms	b
70.0ms	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Results

Error	Segments	Branch
17.1b	4	`a`
9.0b	3	`b`
17.7b	4	`c`
8.8b	5	`(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))`

Compiler

Compiled 1319 to 687 computations (47.9% saved)

bsearch1.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	2.004497749045219e+284	+inf
0.0ms	0.0	2.287521e-317
0.0ms	-2.0648244551081974e-253	-5.328340054837307e-297
0.0ms	-inf	-6.525538284292847e+254

Compiler

Compiled 47 to 31 computations (34% saved)

regimes208.0ms (1.1%)

Counts

37 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

3 calls:

63.0ms	b
63.0ms	a
62.0ms	c

Results

Error	Segments	Branch
18.2b	3	`a`
9.0b	4	`b`
18.3b	3	`c`

Compiler

Compiled 979 to 508 computations (48.1% saved)

bsearch226.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
37.0ms	1.6713508321709462e+80	7.553493587851822e+84
81.0ms	-1.2835278971997639e-301	1.7510273720897046e-300
107.0ms	-8.435825213227063e+167	-1.1726875472523439e+150

Compiler

Compiled 1197 to 811 computations (32.2% saved)

regimes170.0ms (0.9%)

Counts

32 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

3 calls:

57.0ms	b
54.0ms	a
43.0ms	c

Results

Error	Segments	Branch
21.8b	3	`a`
9.0b	4	`b`
20.3b	3	`c`

Compiler

Compiled 812 to 413 computations (49.1% saved)

bsearch222.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
36.0ms	1.6713508321709462e+80	7.553493587851822e+84
81.0ms	-1.2835278971997639e-301	1.7510273720897046e-300
104.0ms	-8.435825213227063e+167	-1.1726875472523439e+150

Compiler

Compiled 1137 to 771 computations (32.2% saved)

regimes166.0ms (0.9%)

Counts

31 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

3 calls:

55.0ms	b
54.0ms	a
40.0ms	c

Results

Error	Segments	Branch
21.8b	3	`a`
12.5b	4	`b`
20.3b	3	`c`

Compiler

Compiled 788 to 401 computations (49.1% saved)

bsearch226.0ms (1.2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
36.0ms	1.6713508321709462e+80	7.553493587851822e+84
80.0ms	-1.2835278971997639e-301	1.7510273720897046e-300
109.0ms	-2752327390729.752	-25165995.3490438

Compiler

Compiled 1135 to 776 computations (31.6% saved)

regimes155.0ms (0.8%)

Counts

30 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 b 2 (.f64 -2 (/.f64 c (/.f64 b a)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a)))

Calls

3 calls:

49.0ms	a
48.0ms	b
40.0ms	c

Results

Error	Segments	Branch
23.3b	3	`a`
15.5b	4	`b`
20.7b	3	`c`

Compiler

Compiled 759 to 383 computations (49.5% saved)

bsearch282.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
91.0ms	2.720054548264419e-108	6.555385671302671e-103
81.0ms	-1.2835278971997639e-301	1.7510273720897046e-300
109.0ms	-2752327390729.752	-25165995.3490438

Compiler

Compiled 1680 to 1170 computations (30.4% saved)

regimes139.0ms (0.7%)

Counts

27 → 4

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

3 calls:

45.0ms	a
44.0ms	b
36.0ms	c

Results

Error	Segments	Branch
23.4b	3	`a`
15.6b	4	`b`
20.8b	3	`c`

Compiler

Compiled 666 to 325 computations (51.2% saved)

bsearch282.0ms (1.5%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
91.0ms	2.720054548264419e-108	6.555385671302671e-103
80.0ms	-1.2835278971997639e-301	1.7510273720897046e-300
110.0ms	-2752327390729.752	-25165995.3490438

Compiler

Compiled 1536 to 1062 computations (30.9% saved)

regimes61.0ms (0.3%)

Counts

26 → 2

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))

Outputs

(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (*.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

3 calls:

22.0ms	b
13.0ms	c
12.0ms	a

Results

Error	Segments	Branch
26.8b	1	`a`
24.1b	2	`b`
26.8b	1	`c`

Compiler

Compiled 641 to 311 computations (51.5% saved)

bsearch89.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
89.0ms	2.720054548264419e-108	6.555385671302671e-103

Compiler

Compiled 488 to 337 computations (30.9% saved)

regimes51.0ms (0.3%)

Accuracy

Total -36.4b remaining (-135.8%)

Threshold costs -36.4b (-135.8%)

Counts

25 → 1

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 c b))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (*.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 a b) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 (-.f64 (.f64 c a) (*.f64 b b)) b) a))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.f64 2 (/.f64 b (.f64 c a))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (/.f64 b (neg.f64 c)) (.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 a (.f64 (/.f64 b c) b)) (*.f64 (/.f64 b c) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (.f64 c (.f64 2 (/.f64 a b)))) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (.f64 2 b)))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (/.f64 2 (/.f64 b (.f64 c a))) b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 b (*.f64 (/.f64 b a) c))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (*.f64 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -1 b))) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (.f64 -1/3 (.f64 (/.f64 (.f64 a a) b) (.f64 (/.f64 c (.f64 a a)) -3))) (/.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (/.f64 a b) (.f64 (/.f64 b c) 1)) (/.f64 1 (*.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (cbrt.f64 -1) (/.f64 a b)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (fma.f64 (/.f64 1 b) c (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 b b))) (*.f64 2 a)))

Outputs
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Calls

3 calls:

13.0ms	c
12.0ms	a
12.0ms	b

Results

Error	Segments	Branch
26.8b	1	`a`
26.8b	1	`b`
26.8b	1	`c`

Compiler

Compiled 616 to 294 computations (52.3% saved)

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

29×	`*-commutative_binary64`
23×	`+-commutative_binary64`
16×	`sub-neg_binary64`
12×	`neg-sub0_binary64`
12×	`neg-mul-1_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	131	2240
1	171	2196
2	202	2196
3	224	2196
4	243	2186
5	254	2186
6	257	2186
7	258	2186

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
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(if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) -825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) 400000000000000031685753003383070616502727676679884373633559736933774303590068411090178138228823058119008651333177672249627352852460208395355127829283505427414172483285967527011578668282082328903098837876871188522020228736277526594181499092977494229868905243002968168865846614770581504) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))))))
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) -825460204899477/4127301024497384737127654569660285988428494734657199391624693039270889863724412964643884811622321780427143710884821317803768340308614730759769835769241715444596770968742227220068214981847081570726751819595399909407406471037121576084674975771617472472574520163263578112) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) 400000000000000031685753003383070616502727676679884373633559736933774303590068411090178138228823058119008651333177672249627352852460208395355127829283505427414172483285967527011578668282082328903098837876871188522020228736277526594181499092977494229868905243002968168865846614770581504) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))))))
(if (<=.f64 b -1200000000000000013344651621705194036153934411236609269391465806550823148718924258603522328009361548664795008007589484566806519110758981414610129649664) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b 5127248624301375/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 b 167135083217094616506557859884215631925709599048591854792456565040864557526941696) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (fma.f64 b -2 (/.f64 (.f64 c a) (/.f64 b 2))) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b -1200000000000000013344651621705194036153934411236609269391465806550823148718924258603522328009361548664795008007589484566806519110758981414610129649664) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b 5127248624301375/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 b 167135083217094616506557859884215631925709599048591854792456565040864557526941696) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b -25500000) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b 5127248624301375/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a))) (if (<=.f64 b 167135083217094616506557859884215631925709599048591854792456565040864557526941696) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (+.f64 (.f64 c (.f64 a -4)) (.f64 b b)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b -25500000) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b 5127248624301375/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a))) (if (<=.f64 b 7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (fma.f64 2 (.f64 a (/.f64 c b)) (.f64 -2 b)) (.f64 2 a))))))
(if (<=.f64 b -25500000) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b 5127248624301375/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a))) (if (<=.f64 b 7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b 7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Outputs
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(if (<=.f64 b -25500000) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b 5127248624301375/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a))) (if (<=.f64 b 7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (-.f64 (.f64 -1 b) b) (/.f64 1/2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))))
(if (<=.f64 b -25500000) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b 5127248624301375/3016028602530220424421062271578867838525126125874252890898307532480811172246863646685486789069132871854112712507200418582406770249989531589552959798883475511096677545853948017425342019529539590198394174553047792145043723038206885734470238620775335376572758801465612196212014773714996912064944617579072807182486470656) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a))) (if (<=.f64 b 7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 b) b))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))))
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(if (<=.f64 b 7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (/.f64 1/2 a) (-.f64 (neg.f64 b) b))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))
(if (<=.f64 b 7271615656692735/2644223875160994395807661232131084159313618731857124877138595181097623164945245383300756841758861139390364848100093433217024) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))))) (.f64 (+.f64 b b) (/.f64 -1/2 a))) (if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))

Compiler

Compiled 1488 to 893 computations (40% saved)

soundness244.0ms (1.3%)

Algorithm

3×	egg-herbie

Rules

870×	`times-frac_binary64`
721×	`times-frac_binary64`
708×	`fma-def_binary64`
689×	`associate-r_binary64`
650×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	430
1	49	376
2	100	376
3	234	376
4	901	376
5	3657	376
0	133	2386
1	422	2292
2	1481	2157
0	126	1008
1	399	846
2	1620	774

Stop Event

1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 313 to 231 computations (26.2% saved)

end434.0ms (2.3%)

Compiler: Compiled 1461 to 817 computations (44.1% saved)

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426

Iter	Nodes	Cost
0	11	426
1	21	426
2	41	426
3	74	426
4	110	426
5	129	426
6	137	426
7	158	426
8	244	426
9	344	426