Details

analyze687.0ms (3.4%)

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)

sample3.1s (15.5%)

Results

2.7s	8256×	body	256	valid
364.0ms	1605×	body	256	invalid

preprocess82.0ms (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)

simplify156.0ms (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

21.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	21.0b	(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)))
▶	21.1b	(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

▶

21.0b

(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)))

▶

21.1b

(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)

localize55.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
✓	0.7b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	0.8b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	25.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 140 to 84 computations (40% saved)

series24.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

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

rewrite90.0ms (0.5%)

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

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary64`
716×	`times-frac_binary64`
679×	`associate-r_binary64`
643×	`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 -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)))
(.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 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 (.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 (/.f64 c (pow.f64 b 3)) c) (.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 (.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))) (/.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 (pow.f64 b 3)) c) (.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 (.f64 c a) 2) b) b)
(-.f64 (.f64 (/.f64 c b) (.f64 a 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 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (*.f64 a a)))) b)
(-.f64 (.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.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) (-.f64 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))) b))
(-.f64 (fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 (pow.f64 a 3) 4))) 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 (.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 (/.f64 c (pow.f64 b 3)) c) (.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 (.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))) (/.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 (pow.f64 b 3)) c) (.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 (.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 (/.f64 c (pow.f64 b 3)) c) (.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 (.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))) (/.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 (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))
(.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 b (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)) 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 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 b (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)))))
(+.f64 (.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) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) 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 (.f64 c a) -2) b))
(fma.f64 b 2 (.f64 -2 (.f64 a (/.f64 c 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)))
(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 b) a) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))) (*.f64 b 2))
(fma.f64 b 2 (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.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 -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))))
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(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 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))) (*.f64 -2 (/.f64 c (/.f64 b a))))))
(fma.f64 (/.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)) -1/2 (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))) (/.f64 (.f64 (.f64 c a) -2) b))))
(fma.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) -1/2 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c 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 (.f64 c a) 2) b))
(fma.f64 b -2 (.f64 (/.f64 c b) (.f64 a 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 (.f64 2 (.f64 (.f64 c c) (.f64 a a))) (pow.f64 b 3))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 b -2)))
(fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b))) (.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 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (*.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))))
(fma.f64 b -2 (fma.f64 2 (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (.f64 a a) (.f64 a (/.f64 c b))) (.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)))
(/.f64 (.f64 (.f64 c a) -2) b)
(.f64 -2 (.f64 a (/.f64 c 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 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b 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 (/.f64 c (pow.f64 b 3)) c) (.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 -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 -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 (.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))) (/.f64 (.f64 (*.f64 c a) -2) 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 (pow.f64 b 3)) c) (.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 (.f64 (pow.f64 c 4) (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 -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 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (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 (.f64 (*.f64 c a) -2) b))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) 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 (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 c a) -2) b)
(.f64 -2 (.f64 a (/.f64 c 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 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b 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 (/.f64 c (pow.f64 b 3)) c) (.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 -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 -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 (.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))) (/.f64 (.f64 (*.f64 c a) -2) 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 (pow.f64 b 3)) c) (.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 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 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (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 -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 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (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 (.f64 (*.f64 c a) -2) b))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 20) (/.f64 (pow.f64 c 4) 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 (pow.f64 b 3)) c) (.f64 a a) (*.f64 a (/.f64 c b))))))

localize49.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.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))))
✓	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series17.0ms (0.1%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	c	@	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))))
1.0ms	b	@	0	(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))))

rewrite123.0ms (0.6%)

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))))))
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simplify71.0ms (0.4%)

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

eval1.3s (6.6%)

Compiler: Compiled 54426 to 33113 computations (39.2% saved)

prune382.0ms (1.9%)

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

5.3b

Counts

1116 → 17

Alt Table

Click to see full alt table

Status	Error	Program
	37.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.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))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	31.1b	(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)))
▶	21.1b	(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)))
	21.9b	(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)))
	21.8b	(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) (-.f64 (.f64 (/.f64 (.f64 c 2) b) a) b)) (*.f64 2 a)))
▶	23.0b	(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)))
▶	25.9b	(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)))
▶	20.5b	(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) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)) (*.f64 2 a)))
	37.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.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)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	21.8b	(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) (.f64 -1 b)) (.f64 2 a)))
▶	22.7b	(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)))
	21.1b	(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)))
	21.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2) b) (/.f64 1/2 a)))
	22.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
	27.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
	28.7b	(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 (-.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)))

Compiler

Compiled 1358 to 896 computations (34% saved)

localize100.0ms (0.5%)

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))))
✓	8.0b	(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3))
✓	12.7b	(sqrt.f64 (.f64 c (.f64 a -4)))
	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 195 to 118 computations (39.5% saved)

series98.0ms (0.5%)

Counts

2 → 8

Calls

15 calls:

Time	Variable		Point	Expression
32.0ms	c	@	inf	(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3))
16.0ms	c	@	-inf	(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3))
14.0ms	a	@	inf	(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3))
12.0ms	a	@	-inf	(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3))
7.0ms	c	@	0	(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3))

rewrite95.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`log-prod_binary64`
398×	`pow-prod-down_binary64`
317×	`pow2_binary64`
291×	`fma-def_binary64`
228×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	304	24
2	3599	24

Stop Event

1×	node limit

Counts

2 → 99

Calls

Call 1

Inputs
(sqrt.f64 (.f64 c (.f64 a -4)))
(+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) b)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 b b) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) (/.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) 0) b)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) 2) (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))))) (#(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 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) (-.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 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))) (#(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 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) (*.f64 b b)) (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) 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 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) (-.f64 (*.f64 b b) (fma.f64 c (*.f64 a -4) (*.f64 b b)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (exp.f64 (-.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 b) (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 b)) (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) (exp.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) (+.f64 1 (expm1.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b 1 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b -1 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) 1 b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/18) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12) (*.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (sqrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b) (neg.f64 (sqrt.f64 b)) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 b (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 b)) (sqrt.f64 b) (hypot.f64 (sqrt.f64 (*.f64 -4 (*.f64 c a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/6) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (cbrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))))) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/18) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12)) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/12) b)))))

simplify51.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

626×	`distribute-rgt-in_binary64`
571×	`associate-l_binary64`
560×	`associate-r_binary64`
491×	`times-frac_binary64`
314×	`unswap-sqr_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	300
1	282	267
2	879	252
3	4479	225

Stop Event

1×	node limit

Counts

107 → 110

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (.f64 -1 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 1 (sqrt.f64 -4))))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 1 (sqrt.f64 -4)))))) (pow.f64 b 2)) (*.f64 -1 b)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 1 (sqrt.f64 -4))))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 1 (sqrt.f64 -4)))))) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (sqrt.f64 -4) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -4)) 1/3) (-.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))) (.f64 1/36 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -4) 10)))) 1/3)))))) (+.f64 (.f64 1/18 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 1 1/6) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))) (.f64 -1 b))))
(*.f64 -1 b)
(*.f64 -1 b)
(-.f64 (*.f64 (pow.f64 1 1/3) b) b)
(-.f64 (*.f64 (pow.f64 1 1/3) b) b)

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 1 (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (.f64 -1 b))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 1 (sqrt.f64 -4)) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 1 (sqrt.f64 -4))))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 1 (sqrt.f64 -4)))))) (pow.f64 b 2)) (*.f64 -1 b)))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 1 (sqrt.f64 -4)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4))) 1/2) (.f64 b b) (neg.f64 b)))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)) (.f64 1/2 (*.f64 b b)))) b)
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 1/2 (sqrt.f64 -4)) (*.f64 b b)))) b)
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 b (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 1/2 (sqrt.f64 -4)) b) -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -4))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 1 (sqrt.f64 -4))))) (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 1 (sqrt.f64 -4)))))) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (sqrt.f64 -4) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (.f64 (sqrt.f64 1) (.f64 (pow.f64 (/.f64 1 (sqrt.f64 -4)) 1/3) (-.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))))))) (.f64 1/36 (pow.f64 (/.f64 1 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -4) 10)))) 1/3)))))) (+.f64 (.f64 1/18 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 1 1/6) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))))) (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))) (.f64 1/12 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3)))))))))) (.f64 -1 b))))
(fma.f64 (sqrt.f64 (.f64 c a)) (.f64 1 (sqrt.f64 -4)) (fma.f64 (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1 (sqrt.f64 -4))) 1/2) (.f64 b b) (fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -4)) (fma.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 -4))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -5/24))) (.f64 1/36 (cbrt.f64 (/.f64 1 (.f64 (.f64 (pow.f64 c 5) (pow.f64 a 5)) (pow.f64 (sqrt.f64 -4) 10))))))) (fma.f64 1/18 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) (.f64 1/3 (.f64 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 1 (pow.f64 (sqrt.f64 -4) 3))) -5/24)))) (neg.f64 b))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -4)) 1/2) (.f64 b b) (-.f64 (.f64 (pow.f64 b 4) (fma.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -4)) (fma.f64 (.f64 2/3 (pow.f64 (/.f64 1 (.f64 c a)) 1/6)) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 -4))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -5/24))) (.f64 1/36 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -4) 10)))))))) (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) -5/24)) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 -1/4 (sqrt.f64 -4)) 1/18))))) b)))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 b (.f64 b (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 1/2 (sqrt.f64 -4)))) (.f64 (pow.f64 b 4) (fma.f64 1/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 5/96 (sqrt.f64 -4))) (fma.f64 (cbrt.f64 (sqrt.f64 -4)) (.f64 (pow.f64 (.f64 c a) 1/6) (fma.f64 2/3 (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (.f64 (cbrt.f64 (/.f64 1 (sqrt.f64 -4))) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 5/96 (sqrt.f64 -4))))) (.f64 1/36 (cbrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -4) 10)))))))) (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 -1/72 (sqrt.f64 -4)))))))) b)
(fma.f64 (pow.f64 b 4) (fma.f64 (pow.f64 (.f64 c a) 1/6) (.f64 (cbrt.f64 (sqrt.f64 -4)) (fma.f64 2/3 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (/.f64 5/96 (sqrt.f64 -4)) (.f64 (pow.f64 (/.f64 1 (.f64 c a)) 1/6) (cbrt.f64 (/.f64 1 (sqrt.f64 -4)))))) (.f64 1/36 (cbrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (.f64 (pow.f64 a 5) (pow.f64 (sqrt.f64 -4) 10))))))) (.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 -1/4 (sqrt.f64 -4))) -1/72)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 b (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 1/2 (sqrt.f64 -4)) b) -1))))
(*.f64 -1 b)
(neg.f64 b)
(*.f64 -1 b)
(neg.f64 b)
(-.f64 (*.f64 (pow.f64 1 1/3) b) b)
(fma.f64 1 b (neg.f64 b))
(-.f64 b b)
0
(-.f64 (*.f64 (pow.f64 1 1/3) b) b)
(fma.f64 1 b (neg.f64 b))
(-.f64 b b)
0

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series16.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
8.0ms	b	@	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	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))

rewrite74.0ms (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))))))

simplify84.0ms (0.4%)

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))))

localize159.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	4.5b	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a)))
✓	6.4b	(.f64 (/.f64 (.f64 c 2) b) a)
	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 155 to 89 computations (42.6% saved)

series14.0ms (0.1%)

Counts

2 → 72

Calls

18 calls:

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

rewrite68.0ms (0.3%)

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

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((#(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))))))

simplify59.0ms (0.3%)

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)
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(-.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)))))

localize133.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(fma.f64 b b (.f64 c (.f64 a -4)))
	0.8b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
	25.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	36.6b	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))

Compiler

Compiled 179 to 103 computations (42.5% saved)

series5.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
863×	`add-log-exp_binary64`
863×	`log1p-expm1-u_binary64`
863×	`expm1-log1p-u_binary64`
841×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	223	13
2	2500	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify116.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

450×	`distribute-neg-frac_binary64`
361×	`times-frac_binary64`
338×	`unswap-sqr_binary64`
308×	`fma-neg_binary64`
294×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	599
1	221	586
2	724	563
3	3721	555
4	5008	555
5	6868	555

Stop Event

1×	node limit

Counts

40 → 43

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))))

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

localize164.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	8.6b	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))
	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	25.7b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)

Compiler

Compiled 194 to 113 computations (41.8% saved)

series42.0ms (0.2%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	c	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	b	@	0	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	c	@	-inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	b	@	inf	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
3.0ms	a	@	inf	(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

rewrite213.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

828×	`prod-diff_binary64`
607×	`log-prod_binary64`
289×	`fma-def_binary64`
235×	`expm1-udef_binary64`
235×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	33
1	308	29
2	3774	29

Stop Event

1×	node limit

Counts

2 → 225

Calls

Call 1

Inputs
(pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4)
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -4))) 1/4) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))) (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8) (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 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 (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 2) 1/4) (pow.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1/4) (pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b)))) 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))))) (+.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 (-.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 c (*.f64 a -4) (*.f64 b b))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 b) (pow.f64 (cbrt.f64 b) 2) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (cbrt.f64 b) (neg.f64 (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) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 b) 2) (neg.f64 (cbrt.f64 b)) (neg.f64 (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)) (*.f64 (neg.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) b)))) (#(struct:change #<rule egg-rr> (2) ((x 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a -4)))) b)))) (#(struct:change #<rule egg-rr> (2) ((x fma.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)))))) (+.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 fma.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)))))) (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 fma.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)))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4)))))) (cbrt.f64 (fma.f64 c (*.f64 a -4) (*.f64 b b))) (hypot.f64 b (sqrt.f64 (*.f64 c (*.f64 a -4))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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1))))))

simplify141.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

587×	`fma-def_binary64`
518×	`associate-r_binary64`
397×	`*-commutative_binary64`
386×	`associate-l_binary64`
303×	`unsub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	461	4940
1	1653	4369
2	7564	4093

Stop Event

1×	node limit

Counts

297 → 350

Calls

Call 1

Inputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
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(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)) (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))))) (pow.f64 a 2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) b)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (pow.f64 b 4)) (pow.f64 c 2))) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))))) (pow.f64 a 2))) (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))))) (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 b 2))) c))) (pow.f64 a 3))))))
(.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))))

Outputs
(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
(pow.f64 (.f64 a (.f64 -4 c)) 1/4)
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (pow.f64 (.f64 -4 (.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4)))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (pow.f64 (.f64 a (.f64 -4 c)) 1/4)))
(+.f64 (.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b 2))) (+.f64 (.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4))) (+.f64 (.f64 -7/8192 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b 6))) (pow.f64 (.f64 -4 (*.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 -4 (.f64 c a)) 1/4))))
(fma.f64 -1/16 (.f64 (pow.f64 (/.f64 -4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b b)) (fma.f64 -3/512 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b 4)) (fma.f64 -7/8192 (.f64 (pow.f64 (/.f64 (/.f64 -4 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b 6)) (pow.f64 (.f64 a (*.f64 -4 c)) 1/4))))
(sqrt.f64 b)
(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(-.f64 (fma.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (*.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))))
(fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2) (-.f64 (fma.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 b)) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(fma.f64 (.f64 (neg.f64 c) (.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (.f64 c (.f64 a (sqrt.f64 -1)))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)))))
(fma.f64 (.f64 (neg.f64 c) (.f64 a (sqrt.f64 -1))) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (fma.f64 (sqrt.f64 b) (sqrt.f64 -1) (.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (+.f64 (.f64 (.f64 (+.f64 (.f64 1/2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7)))) (+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 2 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -16/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b 11)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (fma.f64 (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/2) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (fma.f64 (.f64 (fma.f64 -1/6 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -10/3)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (*.f64 (sqrt.f64 b) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (.f64 (.f64 c c) (.f64 (.f64 a a) -3/2)) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 7))) (sqrt.f64 -1)) (.f64 (sqrt.f64 -1) (+.f64 (sqrt.f64 b) (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/2))))) (.f64 c (.f64 a (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (sqrt.f64 b) (neg.f64 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(-.f64 (sqrt.f64 b) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (*.f64 (sqrt.f64 b) 1)))
(fma.f64 (neg.f64 (.f64 c a)) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (/.f64 (.f64 (*.f64 a a) -3/2) (pow.f64 b 4)) 1)))
(fma.f64 (.f64 (neg.f64 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))) (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (/.f64 (.f64 (*.f64 a a) -3/2) (pow.f64 b 4)) 1)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(fma.f64 -1 (.f64 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (fma.f64 (.f64 (pow.f64 c 3) (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -10/3))) (.f64 (sqrt.f64 b) 1) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (.f64 (sqrt.f64 b) 1))))
(-.f64 (.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)))) (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(fma.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2))) (.f64 (*.f64 c a) (neg.f64 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 -4 a)) (neg.f64 (neg.f64 (log.f64 c)))))
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(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(fma.f64 1/8 (/.f64 (.f64 b b) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 c c) (pow.f64 b 4))))) (.f64 a a)) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))
(-.f64 (-.f64 (.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c))) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (.f64 c c))) (.f64 a a))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))
(-.f64 (.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) c))) (+.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 c c))) (.f64 a a))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 2))) (.f64 c (pow.f64 a 3)))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (pow.f64 b 4)) (pow.f64 c 2)))) (pow.f64 a 2))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3))) (.f64 -1 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))))
(fma.f64 1/8 (/.f64 (.f64 b b) (/.f64 (.f64 c a) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 b b)) (.f64 c (pow.f64 a 3))) (fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)) (.f64 1/256 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (.f64 c c) (pow.f64 b 4))))) (.f64 a a)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) (/.f64 (pow.f64 a 3) (fma.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 5/6144)))) (neg.f64 (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 1/8 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (/.f64 (/.f64 (.f64 c (pow.f64 a 3)) (.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (-.f64 (-.f64 (.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (/.f64 (pow.f64 a 3) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (+.f64 b (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (.f64 c c))) (*.f64 a a)))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2) c)) (fma.f64 1/8 (/.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) (/.f64 (/.f64 (.f64 c (pow.f64 a 3)) (.f64 b b)) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (-.f64 (.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (/.f64 (pow.f64 a 3) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)))) (+.f64 (+.f64 b (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (/.f64 (fma.f64 2 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) (.f64 -3/512 (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (.f64 (.f64 1/256 (pow.f64 b 4)) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2)) (.f64 c c))) (*.f64 a a))))))

eval2.0s (10.1%)

Compiler: Compiled 81794 to 50969 computations (37.7% saved)

prune547.0ms (2.7%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	1567	25	1592
Fresh	7	5	12
Picked	1	0	1
Done	2	2	4
Total	1577	32	1609

Error

1.7b

Counts

1609 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	37.8b	(if (>=.f64 b 0) (pow.f64 (pow.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)))) 3) 1/3) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	37.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.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))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
▶	23.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
▶	36.3b	(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 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	21.1b	(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)))
	33.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.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)))
	39.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	23.7b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	29.0b	(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)))
	21.9b	(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)))
	46.6b	(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)))
	21.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
	30.8b	(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))
✓	20.5b	(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) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)) (*.f64 2 a)))
✓	25.9b	(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)))
	30.3b	(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)))
	23.5b	(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)))
	23.8b	(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)))
	23.1b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) c))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 a (/.f64 b (+.f64 c c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.7b	(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)))
	37.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.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)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	30.7b	(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)))))))
	38.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	22.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (+.f64 c c) (/.f64 b a)))) (/.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) (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)))
	22.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	40.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	28.5b	(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) (pow.f64 (cbrt.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) 3)) (*.f64 2 a)))
▶	21.1b	(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 c (.f64 a -4) (.f64 b b))) b) (/.f64 1/2 a)))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 2391 to 1631 computations (31.8% saved)

localize119.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.7b	(fma.f64 b b (.f64 c (.f64 a -4)))
	0.8b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	25.0b	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
	25.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 160 to 89 computations (44.4% saved)

series6.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
1.0ms	b	@	0	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
1.0ms	c	@	-inf	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
1.0ms	a	@	-inf	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
1.0ms	c	@	inf	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

785×	`pow1_binary64`
724×	`add-log-exp_binary64`
724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
705×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	179	13
2	2035	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

450×	`distribute-neg-frac_binary64`
361×	`times-frac_binary64`
338×	`unswap-sqr_binary64`
308×	`fma-neg_binary64`
294×	`neg-mul-1_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	599
1	221	586
2	724	563
3	3721	555
4	5008	555
5	6868	555

Stop Event

1×	node limit

Counts

40 → 43

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))))

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

localize41.0ms (0.2%)

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)

series7.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite96.0ms (0.5%)

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))))))

simplify76.0ms (0.4%)

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))

localize53.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
	0.6b	(-.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))))
	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 140 to 85 computations (39.3% saved)

series15.0ms (0.1%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
4.0ms	c	@	-inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
3.0ms	c	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
2.0ms	a	@	inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
1.0ms	b	@	0	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))
1.0ms	b	@	-inf	(/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))))

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

844×	`log-prod_binary64`
728×	`fma-def_binary64`
358×	`fma-neg_binary64`
280×	`expm1-udef_binary64`
280×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	26
1	343	22
2	4951	21

Stop Event

1×	node limit

Counts

1 → 48

Calls

Call 1

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

Outputs

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

simplify63.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

737×	`fma-neg_binary64`
588×	`fma-def_binary64`
439×	`times-frac_binary64`
335×	`associate-/l*_binary64`
328×	`*-commutative_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	130	821
1	419	740
2	1671	675
3	6389	674

Stop Event

1×	node limit

Counts

68 → 74

Calls

Call 1

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

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

localize80.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 c (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)))
✓	6.4b	(.f64 (.f64 2 (/.f64 c b)) a)
✓	14.7b	(log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (*.f64 2 (/.f64 c b)) a)))))
	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 197 to 108 computations (45.2% saved)

series35.0ms (0.2%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
16.0ms	c	@	-inf	(log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (*.f64 2 (/.f64 c b)) a)))))
2.0ms	a	@	inf	(log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (*.f64 2 (/.f64 c b)) a)))))
2.0ms	b	@	inf	(log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (*.f64 2 (/.f64 c b)) a)))))
1.0ms	b	@	0	(log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (*.f64 2 (/.f64 c b)) a)))))
1.0ms	c	@	0	(log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (*.f64 2 (/.f64 c b)) a)))))

rewrite87.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

705×	`log-prod_binary64`
348×	`pow2_binary64`
272×	`pow-unpow_binary64`
247×	`pow1/3_binary64`
242×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	273	49
2	3472	49

Stop Event

1×	node limit

Counts

3 → 117

Calls

Call 1

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

Outputs

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

simplify79.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

612×	`associate-*l/_binary64`
524×	`*-commutative_binary64`
502×	`associate-*r/_binary64`
425×	`+-commutative_binary64`
233×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	231	2892
1	726	2665
2	3117	2646

Stop Event

1×	node limit

Counts

225 → 177

Calls

Call 1

Inputs
(+.f64 (log.f64 c) (log.f64 (/.f64 -1 b)))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (/.f64 (*.f64 c a) (pow.f64 b 2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (.f64 1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))))))))
(+.f64 (.f64 1/6 (.f64 (pow.f64 c 3) (+.f64 (.f64 6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 -6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))))) (+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (.f64 1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))))))))
(log.f64 (/.f64 b a))
(+.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (log.f64 (/.f64 b a)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 c 2))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (log.f64 (/.f64 b a))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 c 2))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 (/.f64 b a)) (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 c 3))))))
(log.f64 (/.f64 b a))
(+.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (log.f64 (/.f64 b a)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 c 2))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (log.f64 (/.f64 b a))))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 c 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 c 2))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (log.f64 (/.f64 b a)))))
(+.f64 (log.f64 b) (log.f64 (/.f64 1 a)))
(+.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (+.f64 (log.f64 b) (log.f64 (/.f64 1 a))))
(+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 b) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (/.f64 1 a)))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 b) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (/.f64 1 a))))))
(+.f64 (log.f64 (/.f64 1 b)) (log.f64 (*.f64 -1 c)))
(+.f64 (log.f64 (/.f64 1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (log.f64 (.f64 -1 c))))
(+.f64 (log.f64 (/.f64 1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 24 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 4))) (log.f64 (*.f64 -1 c)))))
(+.f64 (log.f64 (/.f64 1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -720 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 720 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 240 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 6))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 24 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 4))) (log.f64 (.f64 -1 c))))))
(+.f64 (log.f64 c) (log.f64 (/.f64 -1 b)))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (/.f64 (*.f64 c a) (pow.f64 b 2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 24 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 4))))))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -720 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 720 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 240 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 6))) (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 24 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 4)))))))
(log.f64 (*.f64 -1 (/.f64 c b)))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (/.f64 (.f64 c a) (pow.f64 b 2)))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (.f64 1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)))))
(+.f64 (log.f64 (.f64 -1 (/.f64 c b))) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (+.f64 (.f64 1/2 (.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2))) (.f64 1/6 (.f64 (pow.f64 a 3) (+.f64 (.f64 -6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))))))))))
(+.f64 (log.f64 b) (log.f64 (/.f64 1 a)))
(+.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (+.f64 (log.f64 b) (log.f64 (/.f64 1 a))))
(+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 b) (+.f64 (log.f64 (/.f64 1 a)) (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 a 2))))))
(+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 b) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (pow.f64 a 3))) (+.f64 (log.f64 (/.f64 1 a)) (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 a 2)))))))
(+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (*.f64 -1 b)))
(+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 (/.f64 -1 a)) (log.f64 (.f64 -1 b))))
(+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 (/.f64 -1 a)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 a 2))) (log.f64 (*.f64 -1 b)))))
(+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -2 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (pow.f64 a 3))) (+.f64 (log.f64 (/.f64 -1 a)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 a 2))) (log.f64 (*.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 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 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b)))))
(*.f64 1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 1/2 (/.f64 b a)))))
(*.f64 1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 1/2 (/.f64 b a)))))
(*.f64 1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 1/2 (/.f64 b a)))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b)))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b)))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b)))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b)))))
(*.f64 1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 1/2 (/.f64 b a)))))
(*.f64 1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 b a)))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 b a))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 1/2 (/.f64 b a)))))

Outputs
(+.f64 (log.f64 c) (log.f64 (/.f64 -1 b)))
(log.f64 (/.f64 (neg.f64 c) b))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (/.f64 (*.f64 c a) (pow.f64 b 2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (/.f64 c (/.f64 (*.f64 b b) a))))
(+.f64 (.f64 (/.f64 c (.f64 b b)) a) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (.f64 a (/.f64 c (.f64 b b))) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (.f64 1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (*.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 4)))))))))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 c (/.f64 (.f64 b b) a)) (.f64 1/2 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) 1))))))
(+.f64 (fma.f64 1/2 (.f64 c (.f64 c (/.f64 a (/.f64 (pow.f64 b 4) a)))) (.f64 (/.f64 c (.f64 b b)) a)) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (.f64 a (+.f64 (/.f64 c (.f64 b b)) (.f64 a (.f64 1/2 (*.f64 (/.f64 c (pow.f64 b 4)) c))))) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (.f64 1/6 (.f64 (pow.f64 c 3) (+.f64 (.f64 6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 -6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))))))) (+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (.f64 1/2 (.f64 (pow.f64 c 2) (+.f64 (.f64 -1 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))))))))
(fma.f64 1/6 (.f64 (pow.f64 c 3) (fma.f64 6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -4))) (+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 c (/.f64 (.f64 b b) a)) (.f64 1/2 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) 1)))))))
(fma.f64 1/6 (.f64 (pow.f64 c 3) (/.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))) (+.f64 (fma.f64 1/2 (.f64 c (.f64 c (/.f64 a (/.f64 (pow.f64 b 4) a)))) (.f64 (/.f64 c (*.f64 b b)) a)) (log.f64 (/.f64 (neg.f64 c) b))))
(+.f64 (.f64 a (+.f64 (/.f64 c (.f64 b b)) (.f64 a (.f64 1/2 (.f64 (/.f64 c (pow.f64 b 4)) c))))) (+.f64 (log.f64 (/.f64 (neg.f64 c) b)) (.f64 (pow.f64 a 3) (/.f64 1/3 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))))
(log.f64 (/.f64 b a))
(+.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (log.f64 (/.f64 b a)))
(+.f64 (log.f64 (/.f64 b a)) (/.f64 (.f64 b b) (.f64 c a)))
(+.f64 (log.f64 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b c)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 c 2))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (log.f64 (/.f64 b a))))
(fma.f64 1/2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 1) (.f64 c c)) (+.f64 (log.f64 (/.f64 b a)) (/.f64 (.f64 b b) (*.f64 c a))))
(+.f64 (log.f64 (/.f64 b a)) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c a) (.f64 c a))) (/.f64 (.f64 b b) (*.f64 c a))))
(fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 c (.f64 a (.f64 c a)))) (+.f64 (log.f64 (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b c))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 c 2))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 (/.f64 b a)) (.f64 1/6 (/.f64 (+.f64 (.f64 -6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 2 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 c 3))))))
(fma.f64 1/2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 1) (.f64 c c)) (+.f64 (/.f64 (.f64 b b) (.f64 c a)) (+.f64 (log.f64 (/.f64 b a)) (.f64 1/6 (/.f64 (fma.f64 -6 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 8)) (pow.f64 c 3))))))
(+.f64 (fma.f64 1/6 (/.f64 (/.f64 (.f64 2 (pow.f64 b 6)) (pow.f64 a 3)) (pow.f64 c 3)) (log.f64 (/.f64 b a))) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c a) (.f64 c a))) (/.f64 (.f64 b b) (.f64 c a))))
(+.f64 (/.f64 (/.f64 1/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 c (.f64 a (.f64 c a)))) (+.f64 (log.f64 (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b c)))))
(log.f64 (/.f64 b a))
(+.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (log.f64 (/.f64 b a)))
(+.f64 (log.f64 (/.f64 b a)) (/.f64 (.f64 b b) (.f64 c a)))
(+.f64 (log.f64 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b c)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 c 2))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (log.f64 (/.f64 b a))))
(fma.f64 1/2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 1) (.f64 c c)) (+.f64 (log.f64 (/.f64 b a)) (/.f64 (.f64 b b) (*.f64 c a))))
(+.f64 (log.f64 (/.f64 b a)) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c a) (.f64 c a))) (/.f64 (.f64 b b) (*.f64 c a))))
(fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 c (.f64 a (.f64 c a)))) (+.f64 (log.f64 (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b c))))
(+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 -2 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 6 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (pow.f64 c 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 2 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (pow.f64 c 2))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (log.f64 (/.f64 b a)))))
(fma.f64 1/2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 1) (.f64 c c)) (+.f64 (/.f64 (.f64 b b) (.f64 c a)) (+.f64 (log.f64 (/.f64 b a)) (.f64 1/6 (/.f64 (fma.f64 -6 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (*.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 8)) (pow.f64 c 3))))))
(+.f64 (fma.f64 1/6 (/.f64 (/.f64 (.f64 2 (pow.f64 b 6)) (pow.f64 a 3)) (pow.f64 c 3)) (log.f64 (/.f64 b a))) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c a) (.f64 c a))) (/.f64 (.f64 b b) (.f64 c a))))
(+.f64 (/.f64 (/.f64 1/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 c (.f64 a (.f64 c a)))) (+.f64 (log.f64 (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b c)))))
(+.f64 (log.f64 b) (log.f64 (/.f64 1 a)))
(log.f64 (/.f64 b a))
(+.f64 (/.f64 (pow.f64 b 2) (*.f64 c a)) (+.f64 (log.f64 b) (log.f64 (/.f64 1 a))))
(+.f64 (log.f64 (/.f64 b a)) (/.f64 (.f64 b b) (.f64 c a)))
(+.f64 (log.f64 (/.f64 b a)) (*.f64 (/.f64 b a) (/.f64 b c)))
(+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 b) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (/.f64 1 a)))))
(fma.f64 1/2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 1) (.f64 c c)) (+.f64 (log.f64 (/.f64 b a)) (/.f64 (.f64 b b) (*.f64 c a))))
(+.f64 (log.f64 (/.f64 b a)) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c a) (.f64 c a))) (/.f64 (.f64 b b) (*.f64 c a))))
(fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 c (.f64 a (.f64 c a)))) (+.f64 (log.f64 (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b c))))
(+.f64 (.f64 1/3 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (+.f64 (/.f64 (pow.f64 b 2) (.f64 c a)) (+.f64 (log.f64 b) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 4) (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (log.f64 (/.f64 1 a))))))
(fma.f64 1/3 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (/.f64 (.f64 b b) (.f64 c a)) (+.f64 (log.f64 b) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c c) (.f64 a a))) (neg.f64 (log.f64 a))))))
(fma.f64 1/3 (/.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (pow.f64 a 3)) (+.f64 (log.f64 (/.f64 b a)) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c a) (.f64 c a))) (/.f64 (.f64 b b) (*.f64 c a)))))
(fma.f64 1/3 (/.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) (pow.f64 a 3)) (fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 c (.f64 a (.f64 c a)))) (+.f64 (log.f64 (/.f64 b a)) (.f64 (/.f64 b a) (/.f64 b c)))))
(+.f64 (log.f64 (/.f64 1 b)) (log.f64 (*.f64 -1 c)))
(+.f64 (log.f64 c) (log.f64 (/.f64 -1 b)))
(log.f64 (/.f64 (neg.f64 c) b))
(+.f64 (log.f64 (/.f64 1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (log.f64 (.f64 -1 c))))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (/.f64 c (/.f64 (*.f64 b b) a))))
(+.f64 (.f64 (/.f64 c (.f64 b b)) a) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (.f64 a (/.f64 c (.f64 b b))) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (log.f64 (/.f64 1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 24 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 4))) (log.f64 (*.f64 -1 c)))))
(+.f64 (neg.f64 (log.f64 b)) (+.f64 (/.f64 c (/.f64 (.f64 b b) a)) (fma.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) 12) (pow.f64 b 4)) (log.f64 (neg.f64 c)))))
(+.f64 (fma.f64 1/24 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (/.f64 (pow.f64 b 4) 12)) (.f64 (/.f64 c (*.f64 b b)) a)) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (fma.f64 1/24 (/.f64 (.f64 c (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 4) 12)) (.f64 a (/.f64 c (*.f64 b b)))) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (log.f64 (/.f64 1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -720 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 720 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 240 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 6))) (+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 24 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 4))) (log.f64 (.f64 -1 c))))))
(+.f64 (neg.f64 (log.f64 b)) (+.f64 (/.f64 c (/.f64 (.f64 b b) a)) (fma.f64 1/720 (/.f64 (fma.f64 -720 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 960)) (pow.f64 b 6)) (fma.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 12) (pow.f64 b 4)) (log.f64 (neg.f64 c))))))
(+.f64 (+.f64 (fma.f64 1/24 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (/.f64 (pow.f64 b 4) 12)) (.f64 (/.f64 c (.f64 b b)) a)) (log.f64 (/.f64 (neg.f64 c) b))) (/.f64 (.f64 1/720 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) 240))) (pow.f64 b 6)))
(+.f64 (+.f64 (fma.f64 1/24 (/.f64 (.f64 c (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 4) 12)) (.f64 a (/.f64 c (.f64 b b)))) (log.f64 (/.f64 (neg.f64 c) b))) (.f64 (/.f64 1/720 (pow.f64 b 6)) (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) 240))))
(+.f64 (log.f64 c) (log.f64 (/.f64 -1 b)))
(log.f64 (/.f64 (neg.f64 c) b))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (/.f64 (*.f64 c a) (pow.f64 b 2))))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (/.f64 c (/.f64 (*.f64 b b) a))))
(+.f64 (.f64 (/.f64 c (.f64 b b)) a) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (.f64 a (/.f64 c (.f64 b b))) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 24 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 4))))))
(+.f64 (neg.f64 (log.f64 b)) (+.f64 (/.f64 c (/.f64 (.f64 b b) a)) (fma.f64 1/24 (/.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) 12) (pow.f64 b 4)) (log.f64 (neg.f64 c)))))
(+.f64 (fma.f64 1/24 (/.f64 (.f64 (.f64 c a) (.f64 c a)) (/.f64 (pow.f64 b 4) 12)) (.f64 (/.f64 c (*.f64 b b)) a)) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (fma.f64 1/24 (/.f64 (.f64 c (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 4) 12)) (.f64 a (/.f64 c (*.f64 b b)))) (log.f64 (/.f64 (neg.f64 c) b)))
(+.f64 (log.f64 c) (+.f64 (log.f64 (/.f64 -1 b)) (+.f64 (/.f64 (.f64 c a) (pow.f64 b 2)) (+.f64 (.f64 1/720 (/.f64 (+.f64 (.f64 -720 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 720 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 240 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 6))) (.f64 1/24 (/.f64 (+.f64 (.f64 -12 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 24 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 4)))))))
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(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a)))) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3)))))
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(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))))))
(*.f64 1/2 (/.f64 b a))
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(.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a a))) (/.f64 b a)))
(.f64 1/2 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c a)))))
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(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3))) (/.f64 b a))))
(.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a)))) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3)))))
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(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (fma.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (/.f64 b a)))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))))))
(*.f64 1/2 (/.f64 b a))
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(.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a a))) (/.f64 b a)))
(.f64 1/2 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 b a))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3))) (/.f64 b a))))
(.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a)))) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3)))))
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(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (fma.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (/.f64 b a)))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))))))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (/.f64 c b) -1/2)
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(.f64 -1/2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(.f64 -1/2 (+.f64 (/.f64 c b) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(.f64 -1/2 (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -1/2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))))
(.f64 -1/2 (+.f64 (+.f64 (/.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))))
(.f64 -1/2 (+.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b)))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 c b)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -1/2 (+.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))))
(.f64 -1/2 (+.f64 (+.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))))) (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (/.f64 c b) -1/2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b)))
(.f64 -1/2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(.f64 -1/2 (+.f64 (/.f64 c b) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(.f64 -1/2 (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -1/2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))))
(.f64 -1/2 (+.f64 (+.f64 (/.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))))
(.f64 -1/2 (+.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b)))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 c b)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -1/2 (+.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))))
(.f64 -1/2 (+.f64 (+.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))))) (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (/.f64 c b) -1/2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b)))
(.f64 -1/2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b)))
(.f64 -1/2 (+.f64 (/.f64 c b) (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a)))
(.f64 -1/2 (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a)))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (*.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -1/2 (+.f64 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)) (/.f64 c b))))
(.f64 -1/2 (+.f64 (+.f64 (/.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))))
(.f64 -1/2 (+.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (*.f64 -1/2 (/.f64 c b)))))
(fma.f64 -1/2 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (/.f64 c b)))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -1/2 (+.f64 (+.f64 (/.f64 c b) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a))))
(.f64 -1/2 (+.f64 (+.f64 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (+.f64 (/.f64 c b) (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c a))))) (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 4) (pow.f64 b 7)))))
(*.f64 1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 b a)))
(.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a a))) (/.f64 b a)))
(.f64 1/2 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 b a))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3))) (/.f64 b a))))
(.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a)))) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (fma.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (/.f64 b a)))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))))))
(*.f64 1/2 (/.f64 b a))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (*.f64 1/2 (/.f64 b a)))
(.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a a))) (/.f64 b a)))
(.f64 1/2 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (*.f64 c a)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (*.f64 1/2 (/.f64 b a))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3))) (/.f64 b a))))
(.f64 1/2 (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a)))) (/.f64 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3)))))
(+.f64 (.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (pow.f64 a 2)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 2) (pow.f64 a 3)))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (*.f64 1/2 (/.f64 b a)))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a))) (fma.f64 1/2 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4))) (/.f64 b a)))))
(fma.f64 1/2 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (.f64 1/2 (+.f64 (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))))))
(.f64 1/2 (+.f64 (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 7) (.f64 (pow.f64 c 3) (pow.f64 a 4)))) (+.f64 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a))) (/.f64 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))))))

localize94.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
	0.6b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	0.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 200 to 132 computations (34% saved)

series115.0ms (0.6%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
42.0ms	a	@	-inf	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
20.0ms	a	@	0	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
17.0ms	c	@	0	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
16.0ms	c	@	-inf	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)
11.0ms	a	@	inf	(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

579×	`log-prod_binary64`
335×	`pow2_binary64`
319×	`pow-prod-down_binary64`
232×	`pow-to-exp_binary64`
227×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	300	15
2	3247	11

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 a 4) 1/4) (*.f64 (pow.f64 (neg.f64 c) 1/4) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (neg.f64 c) 1/4) (*.f64 (pow.f64 (*.f64 a 4) 1/4) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (neg.f64 c)) (*.f64 2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (cbrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/4) (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 3/2) (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (pow.f64 (*.f64 a 4) 1/4)) (pow.f64 (neg.f64 c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) (pow.f64 (neg.f64 c) 1/4)) (pow.f64 (*.f64 a 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 5/6) (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c))))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 a 4) (neg.f64 c)))) 1) 1))))))

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

423×	`fma-neg_binary64`
379×	`exp-sum_binary64`
362×	`fma-def_binary64`
357×	`distribute-rgt-in_binary64`
295×	`unsub-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	456
1	154	456
2	392	384
3	1104	216
4	4107	216

Stop Event

1×	node limit

Counts

54 → 37

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 c)) (log.f64 a)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)

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

eval1.5s (7.5%)

Compiler: Compiled 64923 to 40848 computations (37.1% saved)

prune329.0ms (1.6%)

Pruning

41 alts after pruning (35 fresh and 6 done)

	Pruned	Kept	Total
New	1412	18	1430
Fresh	8	17	25
Picked	0	1	1
Done	1	5	6
Total	1421	41	1462

Error

1.7b

Counts

1462 → 41

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
✓	36.3b	(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 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	48.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
▶	21.1b	(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 c (.f64 a -4) (.f64 b b))) b) (/.f64 1/2 a)))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	32.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1 (/.f64 (.f64 b a) (-.f64 (.f64 c a) (.f64 b b)))))
	29.0b	(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)))
	53.2b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) c))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	39.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	40.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	38.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
✓	40.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	21.9b	(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)))
	46.6b	(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)))
	21.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
	53.2b	(if (>=.f64 b 0) (.f64 (/.f64 2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) c) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	28.5b	(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) (pow.f64 (cbrt.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) 3)) (*.f64 2 a)))
	29.1b	(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))))
	30.8b	(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))
✓	20.5b	(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) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)) (*.f64 2 a)))
✓	25.9b	(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)))
	30.3b	(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)))
	49.9b	(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	23.8b	(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)))
	37.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.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)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) b) (/.f64 1/2 a)))
	47.2b	(if (>=.f64 b 0) (exp.f64 (log.f64 (/.f64 b a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	23.1b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) c))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	31.8b	(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)))))
	22.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 a (/.f64 b (+.f64 c c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
▶	23.7b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
▶	30.7b	(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)))))))
	38.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
▶	22.7b	(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)))
	22.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (+.f64 c c) (/.f64 b a)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	29.0b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (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))))
✓	21.1b	(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 c (.f64 a -4) (.f64 b b))) b) (/.f64 1/2 a)))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	38.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	39.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	32.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
	33.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.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)))

Compiler

Compiled 2769 to 1876 computations (32.2% saved)

localize76.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b)
✓	8.6b	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
	25.0b	(sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b)))
✓	25.7b	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)

Compiler

Compiled 174 to 99 computations (43.1% saved)

series18.0ms (0.1%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
2.0ms	c	@	-inf	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
1.0ms	c	@	-inf	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
1.0ms	a	@	inf	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
1.0ms	c	@	inf	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))
1.0ms	a	@	-inf	(+.f64 b (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2))

rewrite102.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

620×	`log-prod_binary64`
601×	`fma-def_binary64`
368×	`pow2_binary64`
289×	`fma-neg_binary64`
251×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	46
1	335	46
2	3942	44

Stop Event

1×	node limit

Counts

3 → 193

Calls

Call 1

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

Outputs

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

simplify138.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

605×	`fma-def_binary64`
488×	`associate-r_binary64`
383×	`*-commutative_binary64`
361×	`associate-l_binary64`
338×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	501	5714
1	1781	5116
2	7965	5116

Stop Event

1×	node limit

Counts

285 → 342

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) (sqrt.f64 b))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 b 2) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (*.f64 c a))))
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(pow.f64 (.f64 -4 (.f64 c a)) 1/4)
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(sqrt.f64 b)
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(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
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(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
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b
(*.f64 2 b)
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b
(+.f64 b (*.f64 -1 b))
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(*.f64 2 b)
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(*.f64 2 b)
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(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 b (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))) c)) (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) (+.f64 (.f64 1/24576 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/2048 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/768 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))))) (pow.f64 a 3))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 b 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 c a))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 c 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (pow.f64 a 2))) (+.f64 b (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 b 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2))))))
(.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 (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))))))

Outputs
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b))
(*.f64 1 (sqrt.f64 b))
(sqrt.f64 b)
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (*.f64 (pow.f64 1 1/4) (sqrt.f64 b)))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 1 (sqrt.f64 b)))
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b)))))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (*.f64 1 (sqrt.f64 b))))
(-.f64 (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) -3/2) 1)) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(+.f64 (.f64 -1 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (+.f64 (.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 2 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (.f64 -16/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b)) (.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 1/2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) (.f64 (pow.f64 1 1/4) (sqrt.f64 b))))))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (fma.f64 (.f64 (pow.f64 c 3) (fma.f64 -1/6 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -10/3))) (.f64 1 (sqrt.f64 b)) (.f64 (+.f64 (.f64 (.f64 c c) (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) -3/2)) 1) (.f64 1 (sqrt.f64 b)))))
(-.f64 (.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) -3/2) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2)))) (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
(fma.f64 (sqrt.f64 b) (+.f64 (fma.f64 (.f64 c c) (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) -3/2) 1) (.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) -7/2))) (.f64 c (neg.f64 (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c)))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512)) (*.f64 c c))))
(+.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) a)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))) (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (.f64 c c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/768 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/24576 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 2)) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))))))
(fma.f64 -1/16 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (.f64 b b))) (+.f64 (+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512)) (.f64 c c))) (/.f64 (fma.f64 1/2048 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -11/8192)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))))))
(+.f64 (+.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (.f64 c c)) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))) (fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) a)) (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/8192) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (.f64 -1/16 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (*.f64 b b) a))))
(fma.f64 -1/16 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) a)) (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 -1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2)))) (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c))))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (+.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) -3/512) (/.f64 (.f64 c c) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))))) (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))) (.f64 -1/16 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (*.f64 b b) a))))
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(+.f64 (sqrt.f64 b) (.f64 -1 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3))))))
(fma.f64 -1 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3))))) (.f64 1 (sqrt.f64 b)))
(-.f64 (sqrt.f64 b) (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))
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(*.f64 (sqrt.f64 -1) (sqrt.f64 b))
(*.f64 (sqrt.f64 b) (sqrt.f64 -1))
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b
(*.f64 2 b)
(*.f64 b 2)
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b
(+.f64 b (*.f64 -1 b))
(*.f64 0 b)
0
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(*.f64 2 b)
(*.f64 b 2)
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(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 1/2 (.f64 (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 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) 1/2)) 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 (/.f64 1 (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 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 (/.f64 1 (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 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) 1/2)) b)))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (*.f64 -2 c) (/.f64 b a))
(+.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 (.f64 c c) (/.f64 a (/.f64 (pow.f64 b 3) a)))))
(+.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 (.f64 c c) (/.f64 a (/.f64 (pow.f64 b 3) a))) (fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (*.f64 -4 (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 (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 (.f64 c c) (/.f64 a (/.f64 (pow.f64 b 3) a))) (fma.f64 -2 (.f64 (/.f64 c b) a) (/.f64 (.f64 (.f64 -4 (pow.f64 c 3)) (pow.f64 a 3)) (pow.f64 b 5)))))
(*.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))
(+.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 (.f64 c c) (/.f64 a (/.f64 (pow.f64 b 3) a))))))
(+.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 (.f64 c c) (/.f64 a (/.f64 (pow.f64 b 3) a))) (.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))))

localize17.0ms (0.1%)

Compiler: Compiled 48 to 21 computations (56.3% saved)

localize46.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))
	4.5b	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a)))
	6.4b	(.f64 (/.f64 (.f64 c 2) b) a)

Compiler

Compiled 114 to 78 computations (31.6% saved)

series3.0ms (0%)

Counts

1 → 36

Calls

9 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

524×	`log-prod_binary64`
403×	`exp-prod_binary64`
325×	`pow-prod-down_binary64`
267×	`pow2_binary64`
189×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	209	14
2	2631	14

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`fma-def_binary64`
17×	`*-commutative_binary64`
15×	`associate-/l*_binary64`
11×	`associate-/r/_binary64`
10×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	444
1	20	444
2	38	444
3	64	444
4	98	444
5	118	444
6	120	444

Stop Event

1×

saturated

Counts

72 → 42

Calls

Call 1

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

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 -4 (.f64 a c))
✓	0.2b	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
✓	0.3b	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))
✓	12.7b	(sqrt.f64 (.f64 -4 (.f64 a c)))

Compiler

Compiled 105 to 55 computations (47.6% saved)

series33.0ms (0.2%)

Counts

4 → 52

Calls

30 calls:

Time	Variable		Point	Expression
4.0ms	a	@	inf	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
4.0ms	a	@	-inf	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
3.0ms	c	@	-inf	(+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 a c)))))
2.0ms	c	@	inf	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))
2.0ms	c	@	-inf	(.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (*.f64 a c))))))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

955×	`prod-diff_binary64`
708×	`log-prod_binary64`
287×	`fma-def_binary64`
251×	`expm1-udef_binary64`
251×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	288	52
2	3876	52

Stop Event

1×	node limit

Counts

4 → 177

Calls

Call 1

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

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

simplify82.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

917×	`times-frac_binary64`
680×	`associate-/l*_binary64`
557×	`unswap-sqr_binary64`
491×	`fma-def_binary64`
488×	`associate-/r*_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	144	1271
1	420	1067
2	1541	1022
3	6529	998
4	7649	994

Stop Event

1×	node limit

Counts

229 → 226

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

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)))
(+.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)
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (*.f64 c a)) 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 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (.f64 (/.f64 b (sqrt.f64 -4)) b)) b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (.f64 (/.f64 b (sqrt.f64 -4)) b)) 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 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)))))))
(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 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 (*.f64 b b) (sqrt.f64 -4)) 1/2))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))))))
(+.f64 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) b) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (.f64 1/32 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -4) (pow.f64 b 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 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))
(fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (*.f64 b 2))
(fma.f64 b 2 (.f64 (/.f64 1/2 b) (.f64 (*.f64 c a) -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 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (*.f64 b 2)))
(+.f64 (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 b 2)) (/.f64 (.f64 (.f64 (.f64 c a) (*.f64 c a)) -2) (pow.f64 b 3)))
(fma.f64 b 2 (fma.f64 1/2 (.f64 (.f64 a -4) (/.f64 c b)) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -2))))
(+.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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (fma.f64 1/2 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 b 2))))
(+.f64 (/.f64 (.f64 (.f64 (.f64 c a) (.f64 c a)) -2) (pow.f64 b 3)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) (fma.f64 1/2 (.f64 (/.f64 c b) (.f64 a -4)) (.f64 b 2))))
(fma.f64 1/16 (.f64 (.f64 (pow.f64 a 3) -64) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 b 2 (fma.f64 1/2 (.f64 (.f64 a -4) (/.f64 c b)) (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) -2)))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -4) 2))) b))
(.f64 (/.f64 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2)
(.f64 (.f64 (/.f64 c b) (*.f64 a -4)) -1/2)
(.f64 (/.f64 -1/2 b) (.f64 (*.f64 c a) -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 c (/.f64 b (*.f64 a (pow.f64 (sqrt.f64 -4) 2)))) -1/2))
(fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (/.f64 (.f64 (.f64 c (.f64 c (.f64 (*.f64 a a) 16))) 1/8) (pow.f64 b 3)))
(fma.f64 (.f64 (.f64 a -4) (/.f64 c b)) -1/2 (.f64 (.f64 (.f64 (.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 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 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) -1/16)))
(fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) 16)) c)) 1/8 (fma.f64 (.f64 (/.f64 c b) (.f64 a -4)) -1/2 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) -1/16)))
(fma.f64 (.f64 (.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (.f64 (.f64 (.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (/.f64 (.f64 (pow.f64 c 3) -1/16) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64)))))
(+.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 c (/.f64 b (.f64 a (pow.f64 (sqrt.f64 -4) 2)))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 1/2 (/.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 c c) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (pow.f64 b 7))))))
(fma.f64 (/.f64 c (/.f64 (/.f64 (pow.f64 b 3) (.f64 (.f64 a a) 16)) c)) 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 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (pow.f64 a 3) -64))) -1/16))))
(fma.f64 (.f64 (.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (.f64 (.f64 (.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (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) -1/16) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64))))))
(fma.f64 (.f64 (.f64 a -4) (/.f64 c b)) -1/2 (fma.f64 (.f64 (.f64 (.f64 a a) 16) (/.f64 c (/.f64 (pow.f64 b 3) c))) 1/8 (fma.f64 1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (/.f64 (.f64 (pow.f64 c 3) -1/16) (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 a 3) -64))))))
(*.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 -4) (.f64 1/2 (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 1/4 (.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 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (.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 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) 1/4)))
(fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (*.f64 1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))))))
(+.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 -1/16 (.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 1/2 (/.f64 b a)))))
(fma.f64 1/4 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a))) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (.f64 1/2 (/.f64 b a)))))
(+.f64 (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) 1/4))) (.f64 (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4)) (.f64 -1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))))))
(fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 1/4 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3)))) (fma.f64 1/2 (fma.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) (*.f64 1/64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 5))))))))
(/.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 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2)))))
(+.f64 (/.f64 b a) (/.f64 (*.f64 -1 c) b))
(+.f64 (/.f64 b a) (/.f64 (neg.f64 c) b))
(-.f64 (/.f64 b a) (/.f64 c b))
(+.f64 (/.f64 b a) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3)))))
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4)))))))
(+.f64 (/.f64 b a) (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (*.f64 -1 c) b)))
(+.f64 (/.f64 (neg.f64 c) b) (fma.f64 -1/16 (.f64 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (/.f64 b a)))
(-.f64 (fma.f64 -1/16 (.f64 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (/.f64 b a)) (/.f64 c b))
(+.f64 (/.f64 b a) (+.f64 (.f64 1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 2) (.f64 a (pow.f64 (sqrt.f64 -4) 4))) (pow.f64 b 3))))))
(+.f64 (/.f64 b a) (fma.f64 1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/32 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) (.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a (pow.f64 (sqrt.f64 -4) 4))))))))
(+.f64 (/.f64 b a) (+.f64 (fma.f64 -1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (.f64 -1 c) b)) (.f64 1/32 (/.f64 (.f64 (.f64 -64 a) a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))))
(+.f64 (fma.f64 1/32 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (.f64 a a)) (/.f64 (neg.f64 c) b)) (fma.f64 -1/16 (.f64 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (/.f64 b a)))
(+.f64 (-.f64 (/.f64 b a) (/.f64 c b)) (fma.f64 -1/16 (.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) 16) (.f64 (/.f64 1/32 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a (*.f64 a -64))))))
(.f64 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b))
(*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4)
(/.f64 (*.f64 1 c) b)
(/.f64 c 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)))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (*.f64 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) -1/4))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (*.f64 1 c) b))
(fma.f64 1/16 (.f64 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)) 16) (/.f64 c 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 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5)))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) -1/32)))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (fma.f64 (/.f64 (.f64 (.f64 -64 a) a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/32 (/.f64 (*.f64 1 c) b)))
(fma.f64 1/16 (.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) 16) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (*.f64 a a)) -1/32 (/.f64 c 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 -1/4 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -4) 2)) b)) (+.f64 (.f64 1/4 (/.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 a (pow.f64 b 7)))) (.f64 -1/32 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 a 2) (pow.f64 (sqrt.f64 -4) 6))) (pow.f64 b 5))))))
(fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a (pow.f64 (sqrt.f64 -4) 4)))) (fma.f64 -1/4 (/.f64 c (/.f64 b (pow.f64 (sqrt.f64 -4) 2))) (fma.f64 1/4 (/.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 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -4) 4)))) 2)) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -4) 6)))) -1/32))))
(+.f64 (fma.f64 1/16 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a 16))) (/.f64 (.f64 1 c) b)) (fma.f64 1/4 (/.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 a (pow.f64 b 7))) (.f64 (/.f64 (.f64 (*.f64 -64 a) a) (/.f64 (pow.f64 b 5) (pow.f64 c 3))) -1/32)))
(fma.f64 1/16 (.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) 16) (fma.f64 1/4 (/.f64 (.f64 (.f64 (pow.f64 a 4) 256) (+.f64 (.f64 1/16 (pow.f64 c 4)) (.f64 (pow.f64 c 4) 1/64))) (.f64 a (pow.f64 b 7))) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (.f64 a a)) -1/32 (/.f64 c b))))
(fma.f64 1/16 (.f64 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)) 16) (fma.f64 1/4 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (.f64 a (pow.f64 b 7))) (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) -64)) (.f64 a a)) -1/32 (/.f64 c b))))
(/.f64 b a)
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))
(.f64 -4 (.f64 c a))
(.f64 (.f64 c a) -4)
(.f64 c (.f64 a -4))

localize64.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	4.5b	(/.f64 (.f64 2 c) (fma.f64 b -2 (pow.f64 (cbrt.f64 (.f64 (*.f64 2 (/.f64 c b)) a)) 3)))
	6.4b	(.f64 (.f64 2 (/.f64 c b)) a)
✓	19.7b	(cbrt.f64 (.f64 (.f64 2 (/.f64 c b)) a))
	25.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 183 to 103 computations (43.7% saved)

series17.0ms (0.1%)

Counts

2 → 11

Calls

18 calls:

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

rewrite70.0ms (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	32
1	326	32
2	3902	32

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

Inputs
(cbrt.f64 (.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 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))))))

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`fma-def_binary64`
8×	`sub-neg_binary64`
4×	`+-commutative_binary64`
4×	`fma-neg_binary64`
3×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	66
1	10	66
2	17	66
3	23	66
4	29	66
5	37	66
6	45	66
7	55	66
8	63	66
9	77	66

Stop Event

1×

saturated

Counts

84 → 75

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))

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)

eval811.0ms (4.1%)

Compiler: Compiled 42181 to 26787 computations (36.5% saved)

prune183.0ms (0.9%)

Pruning

46 alts after pruning (38 fresh and 8 done)

	Pruned	Kept	Total
New	890	13	903
Fresh	5	25	30
Picked	0	1	1
Done	3	7	10
Total	898	46	944

Error

1.7b

Counts

944 → 46

Alt Table

Click to see full alt table

Status	Error	Program
	37.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (+.f64 c c) (/.f64 b a)))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	39.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	32.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3/2))))))
	38.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 a (/.f64 b (+.f64 c c))))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	39.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	32.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
	62.2b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 (/.f64 c b) (.f64 2 a))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
✓	23.8b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (-.f64 (/.f64 c b) (/.f64 b a)))
✓	36.3b	(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 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	39.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) b) (/.f64 1/2 a)))
	62.0b	(if (>=.f64 b 0) (/.f64 b a) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	48.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	32.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1 (/.f64 (.f64 b a) (-.f64 (.f64 c a) (.f64 b b)))))
	29.0b	(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)))
	30.8b	(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)))))
	40.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	53.2b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) c))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	21.9b	(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)))
	21.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
	53.2b	(if (>=.f64 b 0) (.f64 (/.f64 2 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) c) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	28.5b	(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) (pow.f64 (cbrt.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) 3)) (*.f64 2 a)))
	29.1b	(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))))
✓	20.5b	(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) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)) (*.f64 2 a)))
	33.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (/.f64 1/2 a)))
✓	25.9b	(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)))
	30.3b	(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)))
	38.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 (.f64 b -2) 1) (.f64 (.f64 2 (/.f64 c b)) a))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	47.2b	(if (>=.f64 b 0) (exp.f64 (log.f64 (/.f64 b a))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	49.9b	(if (>=.f64 b 0) (.f64 (/.f64 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	23.8b	(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)))
	37.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.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)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) b) (/.f64 1/2 a)))
	31.8b	(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)))))
✓	23.7b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (neg.f64 b) a))
	34.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 -4 a)) (sqrt.f64 c))))))
	38.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
✓	30.7b	(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)))))))
✓	22.7b	(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)))
	22.6b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (+.f64 c c) (/.f64 b a)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	38.1b	(if (>=.f64 b 0) (.f64 (/.f64 2 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a))) c) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	38.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	38.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
	38.4b	(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) c))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
	33.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.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)))
✓	40.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -1/4)) 2))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	29.0b	(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (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))))

Compiler

Compiled 1635 to 1123 computations (31.3% saved)

regimes859.0ms (4.3%)

Counts

75 → 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 (/.f64 c b) (/.f64 b 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 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1 (/.f64 (.f64 b a) (-.f64 (.f64 c a) (.f64 b b)))))
(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 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 (/.f64 c b) (.f64 2 a))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 (.f64 b -2) 1) (.f64 (.f64 2 (/.f64 c b)) a))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) 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 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 (+.f64 c c) (/.f64 b a)))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (/.f64 a (/.f64 b (+.f64 c c))))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 (/.f64 2 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a))) c) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) 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 (.f64 (pow.f64 1 1/3) b) 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 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 2 (/.f64 1 (/.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)) c))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) 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 (.f64 (pow.f64 1 1/3) b) b) (.f64 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 2 (/.f64 1 (/.f64 (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) 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 a (/.f64 b (+.f64 c 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 c c) (/.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 (+.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 (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 -1 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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
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(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) (exp.f64 (log.f64 (/.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) 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 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) c) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
(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 (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (.f64 (.f64 2 (sqrt.f64 a)) (sqrt.f64 (neg.f64 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 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 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (/.f64 1/2 a)))
(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 (+.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 2 (/.f64 1 (/.f64 (-.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a))))) c))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (.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 (exp.f64 1) (log.f64 (-.f64 (/.f64 c b) (/.f64 b a)))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (.f64 (sqrt.f64 (.f64 -4 a)) (sqrt.f64 c))))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (.f64 (/.f64 1/2 a) (+.f64 b (hypot.f64 b (cbrt.f64 (pow.f64 (.f64 c (.f64 -4 a)) 3/2))))))
(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 (.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 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) 3/2) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))))) (.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 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (.f64 b b))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (pow.f64 (pow.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)))) 3) 1/3) (/.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) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 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 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 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2) 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) (pow.f64 (.f64 (pow.f64 (.f64 c 4) 1/4) (pow.f64 (/.f64 -1 a) -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) (pow.f64 (.f64 (pow.f64 (.f64 a 4) 1/4) (pow.f64 (/.f64 -1 c) -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 (+.f64 c c) (+.f64 (fma.f64 b b (.f64 b b)) (.f64 c (.f64 4 a)))) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 -4 (.f64 c a)))))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (/.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)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b 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 (/.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 c (/.f64 -2 (/.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)))) (.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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.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 c (/.f64 -2 (/.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))))))) (.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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))) 3)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 -4 a)) (log.f64 c)))) 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 c (/.f64 -2 (+.f64 b (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 c (.f64 a -4) (*.f64 b b))) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) 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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (pow.f64 (cbrt.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) 3)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (-.f64 (neg.f64 b) b)) (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))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 1/8 (.f64 (/.f64 b (/.f64 c b)) (/.f64 (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2) a)) (-.f64 (neg.f64 b) (pow.f64 (.f64 (pow.f64 (.f64 -4 a) 1/4) (pow.f64 c 1/4)) 2)))) (/.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) (pow.f64 (cbrt.f64 (hypot.f64 b (.f64 (sqrt.f64 (.f64 a -4)) (sqrt.f64 c)))) 3)) (*.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) (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 (.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:

296.0ms	a
258.0ms	c
123.0ms	(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)))
121.0ms	b

Results

Error	Segments	Branch
13.4b	8	`a`
6.9b	3	`b`
14.1b	6	`c`
6.6b	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 2566 to 1530 computations (40.4% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	8.288357476549525e+240	+inf
0.0ms	-0.0	1.2e-322
0.0ms	-2.1530406163161523e-220	-2.7044543197603147e-227
0.0ms	-inf	-2.3743541315706674e+285

Compiler

Compiled 47 to 31 computations (34% saved)

regimes839.0ms (4.2%)

Counts

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

Calls

4 calls:

328.0ms	c
225.0ms	a
117.0ms	(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)))
114.0ms	b

Results

Error	Segments	Branch
15.7b	6	`a`
6.9b	3	`b`
12.7b	9	`c`
6.8b	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 2418 to 1446 computations (40.2% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	8.288357476549525e+240	+inf
0.0ms	-0.0	1.2e-322
0.0ms	-2.1530406163161523e-220	-2.7044543197603147e-227
0.0ms	-inf	-2.3743541315706674e+285

Compiler

Compiled 47 to 31 computations (34% saved)

regimes227.0ms (1.1%)

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

Calls

3 calls:

81.0ms	a
72.0ms	c
54.0ms	b

Results

Error	Segments	Branch
16.2b	5	`a`
6.9b	4	`b`
17.5b	4	`c`

Compiler

Compiled 902 to 522 computations (42.1% saved)

bsearch215.0ms (1.1%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
41.0ms	1.9716318406012926e+90	1.644404525620673e+96
75.0ms	-1.3935656883096303e-290	4.332711624128259e-307
99.0ms	-1.1490448924454088e+163	-3.916074655410351e+145

Compiler

Compiled 1286 to 857 computations (33.4% saved)

regimes199.0ms (1%)

Counts

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

Calls

3 calls:

68.0ms	b
66.0ms	c
49.0ms	a

Results

Error	Segments	Branch
20.3b	3	`a`
6.9b	4	`b`
19.5b	6	`c`

Compiler

Compiled 734 to 429 computations (41.6% saved)

bsearch168.0ms (0.8%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
41.0ms	1.9716318406012926e+90	1.644404525620673e+96
27.0ms	2.9089668562332483e-298	5.6171327277095716e-298
99.0ms	-1.1490448924454088e+163	-3.916074655410351e+145

Compiler

Compiled 783 to 531 computations (32.2% saved)

regimes141.0ms (0.7%)

Counts

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

Calls

3 calls:

47.0ms	c
40.0ms	a
40.0ms	b

Results

Error	Segments	Branch
21.2b	4	`a`
9.7b	4	`b`
21.0b	5	`c`

Compiler

Compiled 603 to 361 computations (40.1% saved)

bsearch265.0ms (1.3%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
40.0ms	1.9716318406012926e+90	1.644404525620673e+96
74.0ms	-1.3935656883096303e-290	4.332711624128259e-307
150.0ms	-1.9810895311489874e-18	-1.265571986187421e-20

Compiler

Compiled 1126 to 782 computations (30.6% saved)

regimes109.0ms (0.5%)

Counts

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

Calls

3 calls:

40.0ms	b
29.0ms	c
28.0ms	a

Results

Error	Segments	Branch
22.4b	3	`a`
13.1b	4	`b`
22.2b	2	`c`

Compiler

Compiled 571 to 341 computations (40.3% saved)

bsearch376.0ms (1.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
154.0ms	3.164081767693552e-42	4.206436842863354e-35
75.0ms	-1.3935656883096303e-290	4.332711624128259e-307
146.0ms	-1.9810895311489874e-18	-1.265571986187421e-20

Compiler

Compiled 1694 to 1219 computations (28% saved)

regimes47.0ms (0.2%)

Counts

13 → 3

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

(if (>=.f64 b 0) (/.f64 (*.f64 2 c) (+.f64 (*.f64 (*.f64 b -2) 1) (*.f64 (*.f64 2 (/.f64 c b)) a))) (/.f64 (-.f64 (*.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))

Calls

3 calls:

24.0ms	b
8.0ms	c
7.0ms	a

Results

Error	Segments	Branch
23.7b	1	`a`
17.8b	3	`b`
23.7b	1	`c`

Compiler

Compiled 335 to 192 computations (42.7% saved)

bsearch216.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
159.0ms	3.164081767693552e-42	4.206436842863354e-35
56.0ms	-2.052372086732058e-241	-6.940624482112528e-244

Compiler

Compiled 1099 to 802 computations (27% saved)

regimes28.0ms (0.1%)

Accuracy

Total -39.1b remaining (-164.6%)

Threshold costs -39.1b (-164.6%)

Counts

12 → 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 (/.f64 c b) (/.f64 b 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 (-.f64 (.f64 c a) (.f64 b b)) (.f64 b a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 1 (/.f64 (.f64 b a) (-.f64 (.f64 c a) (.f64 b b)))))
(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 (/.f64 b c) (/.f64 a b))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 (/.f64 c b) (.f64 2 a))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 (.f64 b -2) 1) (.f64 (.f64 2 (/.f64 c b)) a))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) b) b) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (-.f64 (.f64 (pow.f64 1 1/3) 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:

7.0ms	c
7.0ms	a
7.0ms	b

Results

Error	Segments	Branch
23.7b	1	`a`
23.7b	1	`b`
23.7b	1	`c`

Compiler

Compiled 307 to 173 computations (43.6% saved)

simplify53.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
24×	`*-commutative_binary64`
18×	`sub-neg_binary64`
11×	`neg-sub0_binary64`
11×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	21474837469
1	152	21474837439
2	189	21474837439
3	216	21474837439
4	231	21474837439
5	236	21474837439

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 1215 to 753 computations (38% saved)

soundness261.0ms (1.3%)

Algorithm

4×	egg-herbie

Rules

842×	`fma-neg_binary64`
721×	`times-frac_binary64`
721×	`times-frac_binary64`
708×	`fma-def_binary64`
708×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1481	2157
0	133	2386
1	422	2292
2	1481	2157
0	111	716
1	336	686
2	1221	620
3	7428	620
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
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 250 to 172 computations (31.2% saved)

end339.0ms (1.7%)

Compiler: Compiled 1194 to 700 computations (41.4% saved)