Details

analyze386.0ms (1.9%)

Algorithm

1×

Search

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

Compiler

Compiled 42 to 27 computations (35.7% saved)

sample2.5s (12%)

Results

2.0s	8256×	body	256	valid
439.0ms	1540×	body	256	invalid

preprocess131.0ms (0.6%)

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)

simplify168.0ms (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)))

eval2.0ms (0%)

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

prune5.0ms (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

19.4b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	19.6b	(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)))
▶	19.5b	(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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))

Status

Error

Program

▶

19.6b

(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)))

▶

19.5b

(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) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 78 to 50 computations (35.9% saved)

localize115.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
✓	1.2b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
✓	1.4b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	23.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 140 to 84 computations (40% saved)

series45.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

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

rewrite148.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 217

Calls

Call 1

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

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

simplify291.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

313 → 292

Calls

Call 1

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

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

localize109.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
✓	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	1.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 148 to 79 computations (46.6% saved)

series31.0ms (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	a	@	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))))

rewrite223.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 416

Calls

Call 1

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

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

simplify127.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

512 → 476

Calls

Call 1

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

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

eval1.9s (9%)

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

prune334.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	1103	11	1114
Fresh	0	0	0
Picked	1	0	1
Done	1	0	1
Total	1105	11	1116

Error

5.7b

Counts

1116 → 11

Alt Table

Click to see full alt table

Status	Error	Program
	21.0b	(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)) 1/6) 3) b) (/.f64 1/2 a)))
	21.4b	(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)))
	25.5b	(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)))
▶	21.6b	(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)))
▶	19.7b	(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)))
	38.2b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))))) (.f64 (/.f64 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)))
▶	31.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	24.3b	(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)))
	37.9b	(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) b) (*.f64 2 a)))
▶	20.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
▶	21.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))

Compiler

Compiled 828 to 548 computations (33.8% saved)

localize134.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.4b	(+.f64 b (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))))
✓	11.5b	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2) b)
	23.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	23.7b	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)

Compiler

Compiled 184 to 108 computations (41.3% saved)

series63.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
25.0ms	a	@	-inf	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
6.0ms	a	@	-inf	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2) b)
4.0ms	b	@	0	(pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4)
3.0ms	a	@	0	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2) b)
3.0ms	c	@	0	(-.f64 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/4) 2) b)

rewrite91.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

752×	`prod-diff_binary64`
552×	`log-prod_binary64`
338×	`fma-def_binary64`
330×	`pow2_binary64`
225×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	283	30
2	3361	29

Stop Event

1×	node limit

Counts

2 → 139

Calls

Call 1

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

Outputs

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

simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

620×	`fma-def_binary64`
488×	`associate-r_binary64`
394×	`*-commutative_binary64`
360×	`associate-l_binary64`
326×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	502	5380
1	1811	4690

Stop Event

1×	node limit

Counts

211 → 268

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)))))))
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(-.f64 (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2)) (.f64 c a))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.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))))))) (.f64 1/8 (/.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)))) (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 2 (/.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)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 1/256 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (pow.f64 b 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))) b)
(.f64 -2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.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)))) b))) (pow.f64 a 2)) (.f64 -2 (/.f64 (*.f64 c a) b)))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.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)))) b))) (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.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))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (.f64 (+.f64 (/.f64 (pow.f64 c 2) (pow.f64 b 3)) (.f64 2 (.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)))) b))) (pow.f64 a 2)) (+.f64 (.f64 (+.f64 (.f64 2 (.f64 (+.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))))) b)) (.f64 -2 (/.f64 (.f64 c (+.f64 (.f64 1/2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 -2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b))) (pow.f64 a 3)) (+.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.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)))) 2) b) (+.f64 (.f64 2 (.f64 (+.f64 (.f64 1/24 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (.f64 2 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (.f64 -16 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (+.f64 (.f64 -1 (/.f64 (pow.f64 c 4) (pow.f64 b 8))) (.f64 16/3 (/.f64 (pow.f64 c 4) (pow.f64 b 8))))))) b)) (.f64 -2 (/.f64 (.f64 c (+.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)))))) b))))) (.f64 -2 (/.f64 (*.f64 c a) b)))))
(-.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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) 2) (.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)))) b)
(-.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 -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 2 (/.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 -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 1/256 (/.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)) (.f64 (pow.f64 c 2) (pow.f64 a 2))))))) b)
(-.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 -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 2 (/.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 -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))) (+.f64 (.f64 2 (/.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 -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) (.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))) (.f64 c (pow.f64 a 3)))) (.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)) (*.f64 (pow.f64 c 2) (pow.f64 a 2))))))))) b)
(-.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b)
(-.f64 (+.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))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)) b)
(-.f64 (+.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 (.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)))) b)
(-.f64 (+.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 (.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))))) 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 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 (pow.f64 b 4) (+.f64 (.f64 1/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (.f64 -3/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))))))))
(*.f64 -1 b)
(+.f64 b (*.f64 -1 b))
(+.f64 b (+.f64 (.f64 -1 b) (.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 b (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1 b) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (*.f64 c a) b))))))
(*.f64 -1 b)
(.f64 2 (.f64 -1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (.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 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 2 (.f64 -1 b)))))

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 c (.f64 a (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b 3)))))) (.f64 1 (sqrt.f64 b)))
(-.f64 (sqrt.f64 b) (.f64 a (.f64 c (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 1 (sqrt.f64 b))))
(-.f64 (.f64 (sqrt.f64 b) (fma.f64 (.f64 c c) (/.f64 (.f64 (.f64 a a) -3/2) (pow.f64 b 4)) 1)) (.f64 a (.f64 c (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 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 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 (.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 a (.f64 c (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 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) (.f64 (/.f64 c b) (/.f64 a b))) (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))))))))
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(-.f64 (fma.f64 -1 (/.f64 (fma.f64 1/8 (/.f64 (.f64 (.f64 (.f64 b b) (.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)) c) (.f64 2 (.f64 (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)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)))) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 b b) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2) a)) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b 4) (.f64 c c)) -3/512) (/.f64 (.f64 a 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 1/256 (/.f64 (pow.f64 b 4) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 c 4)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2))))) b)
(-.f64 (-.f64 (fma.f64 -1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) c)) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 (/.f64 a (/.f64 (pow.f64 b 4) (.f64 c c))) (/.f64 a -3/512))) (fma.f64 1/256 (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2) (.f64 c c))) (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 (/.f64 (pow.f64 b 6) (pow.f64 c 3)) 7/8192) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)) (/.f64 (.f64 (/.f64 (.f64 (pow.f64 b 4) -3/512) (.f64 c c)) 1/8) (/.f64 (/.f64 c (.f64 b b)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 (.f64 c 4)) (log.f64 (/.f64 -1 a)))) 2)))) (pow.f64 a 3))) b)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) (neg.f64 b))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (*.f64 -1 b)))
(fma.f64 -1/8 (.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) (neg.f64 b)))
(-.f64 (fma.f64 -1/8 (.f64 (.f64 b b) (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (.f64 c a))))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) b)
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (sqrt.f64 -4) (pow.f64 b 2)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (+.f64 (.f64 -1 b) (.f64 (pow.f64 b 4) (+.f64 (.f64 1/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))) (.f64 -3/256 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (sqrt.f64 -4))))))))
(fma.f64 -1/8 (.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) (fma.f64 -1 b (.f64 (pow.f64 b 4) (.f64 (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) -1/128)))))
(fma.f64 -1/8 (.f64 (.f64 b b) (.f64 (sqrt.f64 -4) (sqrt.f64 (/.f64 1 (.f64 c a))))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 (pow.f64 b 4) (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (*.f64 (sqrt.f64 -4) -1/128)) (neg.f64 b))))
(*.f64 -1 b)
(neg.f64 b)
(+.f64 b (*.f64 -1 b))
(*.f64 0 b)
0
(+.f64 b (+.f64 (.f64 -1 b) (.f64 -2 (/.f64 (*.f64 c a) b))))
(+.f64 (.f64 0 b) (.f64 -2 (/.f64 c (/.f64 b a))))
(+.f64 (/.f64 (.f64 (.f64 -2 a) c) b) 0)
(+.f64 b (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1 b) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -2 (/.f64 (*.f64 c a) b))))))
(+.f64 b (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1 b (fma.f64 -4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -2 (/.f64 c (/.f64 b a)))))))
(+.f64 b (fma.f64 2 (.f64 (.f64 c c) (/.f64 a (/.f64 (pow.f64 b 3) a))) (-.f64 (fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 -4 (.f64 (.f64 c c) (/.f64 a (/.f64 (pow.f64 b 3) a))))) b)))
(*.f64 -1 b)
(neg.f64 b)
(.f64 2 (.f64 -1 b))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 -2 b))
(.f64 2 (-.f64 (.f64 (/.f64 c 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 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 2 (.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))) (fma.f64 4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -2 b))))
(+.f64 (/.f64 (.f64 (.f64 2 (.f64 c c)) (.f64 a a)) (pow.f64 b 3)) (.f64 2 (-.f64 (.f64 (/.f64 c b) a) b)))

localize103.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))
	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 121 to 62 computations (48.8% saved)

series8.0ms (0%)

Counts

1 → 20

Calls

9 calls:

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

rewrite104.0ms (0.5%)

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 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((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))))))

simplify65.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

63 → 71

Calls

Call 1

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

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

localize63.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))
	0.8b	(-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))
	1.4b	(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 131 to 73 computations (44.3% saved)

series5.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite51.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

734×	`pow1_binary64`
684×	`add-log-exp_binary64`
682×	`log1p-expm1-u_binary64`
682×	`expm1-log1p-u_binary64`
670×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	219	4
2	2884	4

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify103.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

54 → 33

Calls

Call 1

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

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

localize101.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))
	1.0b	(fma.f64 b b (.f64 c (.f64 a -4)))
	1.2b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
	23.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))

Compiler

Compiled 108 to 61 computations (43.5% saved)

series5.0ms (0%)

Counts

1 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))
1.0ms	a	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))
1.0ms	b	@	0	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))
0.0ms	c	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))
0.0ms	c	@	0	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a))

rewrite71.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

737×	`prod-diff_binary64`
675×	`log-prod_binary64`
315×	`fma-def_binary64`
249×	`expm1-udef_binary64`
249×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	281	21
2	3641	21

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

842×	`fma-neg_binary64`
658×	`associate-l_binary64`
655×	`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	7420	620

Stop Event

1×	node limit

Counts

67 → 75

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 -1/4 (/.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))))))
(*.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))))))

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

localize126.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	7.6b	(-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (*.f64 a -4))))
✓	23.0b	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	35.9b	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))

Compiler

Compiled 294 to 172 computations (41.5% saved)

series36.0ms (0.2%)

Counts

3 → 92

Calls

27 calls:

Time	Variable		Point	Expression
6.0ms	b	@	0	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))
4.0ms	c	@	-inf	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))
2.0ms	a	@	inf	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))))
2.0ms	c	@	inf	(sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4)))))
2.0ms	c	@	0	(/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))

rewrite183.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`log-prod_binary64`
741×	`fma-def_binary64`
315×	`fma-neg_binary64`
287×	`expm1-udef_binary64`
287×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	80
1	355	40
2	5073	39

Stop Event

1×	node limit

Counts

3 → 277

Calls

Call 1

Inputs

(/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))

(sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4)))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))

(-.f64 (pow.f64 b 4) (*.f64 (*.f64 c (*.f64 a -4)) (*.f64 c (*.f64 a -4))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -4 (*.f64 c a)) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 b b) (*.f64 -4 (*.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (pow.f64 b 4) (fma.f64 b b (*.f64 (*.f64 c a) 4))) (neg.f64 (/.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16) (fma.f64 b b (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 b b (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))))) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 b 4) (fma.f64 b b (*.f64 (*.f64 c a) 4))) (/.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16) (fma.f64 b b (*.f64 (*.f64 c a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) (/.f64 1 (fma.f64 b b (*.f64 (*.f64 c a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 b b (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) (*.f64 (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 2)) (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 2)) (*.f64 (cbrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (/.f64 1 (fma.f64 b b (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1/4) (*.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1/4) (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (*.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (/.f64 1 (fma.f64 b b (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (/.f64 1 (neg.f64 (fma.f64 b b (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 b b (*.f64 (*.f64 c a) 4))) (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1/4)) (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 2)) 1) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (fma.f64 b b (*.f64 (*.f64 c a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) 1) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (fma.f64 b b (*.f64 (*.f64 c a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) 4))) 2)) (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 2)) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) 4))) 2)) (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) 4))) 2)) (/.f64 (sqrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (cbrt.f64 (fma.f64 b b (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) 4)))) (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 2)) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) 4)))) (/.f64 (cbrt.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (hypot.f64 b (sqrt.f64 (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (fma.f64 b b (*.f64 -4 (*.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) (-.f64 (pow.f64 b 6) (pow.f64 (*.f64 -4 (*.f64 c a)) 3))) (fma.f64 (*.f64 -4 (*.f64 c a)) (fma.f64 b b (*.f64 -4 (*.f64 c a))) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))) (cbrt.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b (sqrt.f64 (*.f64 -4 (*.f64 c a)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (fma.f64 b b (*.f64 -4 (*.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (-.f64 (pow.f64 b 4) (*.f64 (pow.f64 (*.f64 c a) 2) 16)) (neg.f64 (fma.f64 b b (*.f64 (*.f64 c a) 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 b b (*.f64 -4 (*.f64 c a))))))))) 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4))) (fma.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 1 (*.f64 (pow.f64 (*.f64 c a) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 8) (pow.f64 (*.f64 -4 (*.f64 c a)) 4)) (/.f64 1 (fma.f64 (pow.f64 (*.f64 c a) 2) 16 (pow.f64 b 4))) (fma.f64 (neg.f64 (*.f64 (*.f64 a a) 16)) (*.f64 c c) (*.f64 (pow.f64 (*.f64 c a) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 8) (pow.f64 (*.f64 -4 (*.f64 c a)) 4)) (/.f64 1 (fma.f64 (pow.f64 (*.f64 c a) 2) 16 (pow.f64 b 4))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) 2)) (cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 4)) (*.f64 (pow.f64 (*.f64 c a) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 8) (pow.f64 (*.f64 -4 (*.f64 c a)) 4)) (/.f64 1 (fma.f64 (pow.f64 (*.f64 c a) 2) 16 (pow.f64 b 4))) (fma.f64 (*.f64 4 a) (*.f64 c (*.f64 -4 (*.f64 c a))) (*.f64 (pow.f64 (*.f64 c a) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 c) (*.f64 (*.f64 (*.f64 a a) 16) c) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 c (*.f64 -4 (*.f64 c a))) (*.f64 4 a) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (cbrt.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)))) (cbrt.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (sqrt.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (*.f64 (pow.f64 (*.f64 c a) 2) 16) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 2) 4) (pow.f64 (cbrt.f64 b) 4) (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 b) 2) 4) (pow.f64 (cbrt.f64 b) 4) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 b) 4) (pow.f64 (sqrt.f64 b) 4) (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 b) 4) (pow.f64 (sqrt.f64 b) 4) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 c c)) (*.f64 (*.f64 a a) 16) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (*.f64 -4 (*.f64 c a)) 4))) (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) 2) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 c (*.f64 -4 (*.f64 c a)))) (*.f64 a -4) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) 1) (*.f64 -4 (*.f64 c a)) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 b b) (cbrt.f64 (pow.f64 b 4))) (pow.f64 (cbrt.f64 b) 2) (*.f64 (neg.f64 (*.f64 (pow.f64 (*.f64 c a) 2) 16)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) c) (*.f64 a -4) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) (*.f64 a -4)) c (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) (pow.f64 (cbrt.f64 (*.f64 -4 (*.f64 c a))) 2)) (cbrt.f64 (*.f64 -4 (*.f64 c a))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) (sqrt.f64 (*.f64 -4 (*.f64 c a)))) (sqrt.f64 (*.f64 -4 (*.f64 c a))) (pow.f64 b 4))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (*.f64 c a) 4) (*.f64 c a)) -4 (pow.f64 b 4))))))

simplify168.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

449×	`distribute-neg-frac_binary64`
361×	`times-frac_binary64`
338×	`unswap-sqr_binary64`
308×	`fma-neg_binary64`
294×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	80	1541
1	235	1474
2	764	1451
3	3832	1443
4	5118	1443
5	6982	1443

Stop Event

1×	node limit

Counts

369 → 310

Calls

Call 1

Inputs
(.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 1/2 (.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 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))

Outputs
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 -4 a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 -4 a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(.f64 -4 (.f64 c a))
(.f64 (.f64 -4 c) a)
(.f64 c (.f64 -4 a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 (.f64 -4 c) a) (*.f64 b b))
(fma.f64 -4 (.f64 c a) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
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b
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b
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b
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(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(pow.f64 b 4)
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2)))
(.f64 (.f64 (.f64 c c) (.f64 a a)) -16)
(.f64 (.f64 c c) (.f64 (.f64 a a) -16))
(.f64 c (.f64 c (.f64 (.f64 -16 a) a)))
(.f64 a (.f64 (.f64 c c) (.f64 -16 a)))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))
(+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 b 4))
(fma.f64 -16 (.f64 (.f64 c c) (*.f64 a a)) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c a) (*.f64 c a)) -16 (pow.f64 b 4))
(fma.f64 (.f64 c c) (.f64 (*.f64 -16 a) a) (pow.f64 b 4))
(fma.f64 (.f64 (.f64 c c) (*.f64 -16 a)) a (pow.f64 b 4))

eval2.2s (10.7%)

Compiler: Compiled 89819 to 55334 computations (38.4% saved)

prune578.0ms (2.8%)

Pruning

22 alts after pruning (21 fresh and 1 done)

	Pruned	Kept	Total
New	1864	19	1883
Fresh	4	2	6
Picked	0	1	1
Done	4	0	4
Total	1872	22	1894

Error

4.4b

Counts

1894 → 22

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/2 a)))
	21.0b	(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)) 1/6) 3) b) (/.f64 1/2 a)))
	22.0b	(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 (neg.f64 b) a))
✓	31.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	33.0b	(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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (/.f64 1/2 a)))
	32.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
▶	24.3b	(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)))
	34.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	40.0b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) b) (.f64 2 a)))
	33.6b	(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 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) (/.f64 1/2 a)))
	23.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
▶	19.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.0b	(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) (.f64 -1 b)) (.f64 2 a)))
	29.7b	(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)))
▶	22.0b	(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 -1 b)) (*.f64 2 a)))
	21.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) 1/2))))
	44.5b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 (/.f64 c b) (.f64 a -2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	21.9b	(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a)))
	29.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (/.f64 1/2 a)))
	27.7b	(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 (.f64 a (.f64 c -4)) 1/4) 2) b) (/.f64 1/2 a)))
	33.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
▶	22.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (*.f64 b -2) (/.f64 1/2 a)))

Compiler

Compiled 1435 to 981 computations (31.6% saved)

localize107.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	5.0b	(-.f64 (neg.f64 b) (/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))))
✓	22.8b	(sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))

Compiler

Compiled 209 to 115 computations (45% saved)

series24.0ms (0.1%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
8.0ms	c	@	0	(sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))
2.0ms	b	@	0	(sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))
2.0ms	c	@	inf	(sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))
2.0ms	c	@	-inf	(sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))
2.0ms	a	@	inf	(sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))

rewrite121.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

762×	`prod-diff_binary64`
634×	`log-prod_binary64`
274×	`fma-def_binary64`
232×	`expm1-udef_binary64`
232×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	297	29
2	3887	29

Stop Event

1×	node limit

Counts

2 → 186

Calls

Call 1

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

Outputs

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

simplify105.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

950×	`times-frac_binary64`
687×	`associate-/r*_binary64`
633×	`associate-/l*_binary64`
445×	`associate-*l/_binary64`
365×	`associate-*r/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	1738
1	602	1696
2	2287	1539

Stop Event

1×	node limit

Counts

226 → 239

Calls

Call 1

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

Outputs
(.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -1/4))
(+.f64 (.f64 -1/32 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -1/4)))) (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (sqrt.f64 -1/4)))
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(+.f64 (.f64 -1/2 (.f64 b (+.f64 (.f64 (.f64 a a) (.f64 (.f64 (/.f64 c (pow.f64 b 6)) c) -12)) (.f64 (pow.f64 a 3) (fma.f64 -64 (/.f64 (pow.f64 c 3) (pow.f64 b 8)) (.f64 (/.f64 -2 (.f64 b b)) (.f64 c (.f64 (.f64 (/.f64 c (pow.f64 b 6)) c) -12)))))))) (fma.f64 2 (*.f64 (/.f64 c (pow.f64 b 3)) a) (/.f64 1 b)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b)))
(-.f64 (.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) b))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) 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))) (neg.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b))))
(+.f64 (-.f64 (.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) b)) (.f64 -1/32 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (*.f64 2 (/.f64 c (/.f64 b a))))
(fma.f64 b -2 (*.f64 2 (/.f64 a (/.f64 b c))))
(+.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 c (/.f64 b a)) (fma.f64 b -2 (/.f64 (.f64 2 (.f64 c c)) (/.f64 (/.f64 (pow.f64 b 3) a) a))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (/.f64 (.f64 (.f64 c c) 2) (/.f64 (/.f64 (pow.f64 b 3) a) 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 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 b -2 (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 2 (*.f64 c c)) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (*.f64 c c) 2) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(/.f64 (.f64 (.f64 c -2) 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 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(*.f64 -2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 c (/.f64 (/.f64 (/.f64 (pow.f64 b 3) a) a) c))))
(.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a 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 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 c (/.f64 (/.f64 (/.f64 (pow.f64 b 3) a) a) c)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (/.f64 a (/.f64 b c)) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (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 (.f64 (.f64 c c) (.f64 a a)) -2) 2) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16)) (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 -1/2 (/.f64 (fma.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 16 (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (/.f64 c (/.f64 (/.f64 (/.f64 (pow.f64 b 3) a) a) c)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -2 (/.f64 a (/.f64 b c)) (.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))))
(*.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 2 (/.f64 c (/.f64 b a))))
(fma.f64 b -2 (*.f64 2 (/.f64 a (/.f64 b c))))
(+.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 c (/.f64 b a)) (fma.f64 b -2 (/.f64 (.f64 2 (.f64 c c)) (/.f64 (/.f64 (pow.f64 b 3) a) a))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (/.f64 (.f64 (.f64 c c) 2) (/.f64 (/.f64 (pow.f64 b 3) a) 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 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 b -2 (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 2 (*.f64 c c)) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (*.f64 c c) 2) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(*.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 2 (/.f64 c (/.f64 b a))))
(fma.f64 b -2 (*.f64 2 (/.f64 a (/.f64 b c))))
(+.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 c (/.f64 b a)) (fma.f64 b -2 (/.f64 (.f64 2 (.f64 c c)) (/.f64 (/.f64 (pow.f64 b 3) a) a))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (/.f64 (.f64 (.f64 c c) 2) (/.f64 (/.f64 (pow.f64 b 3) a) 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 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 b -2 (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 2 (*.f64 c c)) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (fma.f64 4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (/.f64 (.f64 (*.f64 c c) 2) (/.f64 (/.f64 (pow.f64 b 3) a) a)))))

localize40.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -2 (+.f64 b b))
✓	0.2b	(*.f64 c (/.f64 -2 (+.f64 b b)))
✓	0.4b	(.f64 (.f64 b -2) (/.f64 1/2 a))

Compiler

Compiled 58 to 34 computations (41.4% saved)

series12.0ms (0.1%)

Counts

3 → 60

Calls

15 calls:

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

rewrite246.0ms (1.2%)

Algorithm

3×	egg-rewrite
1×	batch-egg-rewrite

Rules

803×	`pow1_binary64`
746×	`add-log-exp_binary64`
746×	`log1p-expm1-u_binary64`
746×	`expm1-log1p-u_binary64`
733×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	267	30
2	3735	30
0	8	10
1	171	7
2	2036	7
0	7	10
1	156	7
2	2259	7
0	5	7
1	115	4
2	1662	4

Stop Event

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

Counts

3 → 100

Calls

Call 1

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

Outputs

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

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

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

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

28×	`fma-def_binary64`
18×	`sub-neg_binary64`
10×	`+-commutative_binary64`
8×	`div-sub_binary64`
8×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	336
1	18	336
2	31	336
3	42	336
4	53	336
5	69	336
6	84	336
7	101	336
8	121	336
9	155	336
10	157	336

Stop Event

1×

saturated

Counts

160 → 105

Calls

Call 1

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

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

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f64 -2 (+.f64 b b))
	0.2b	(*.f64 c (/.f64 -2 (+.f64 b b)))
✓	4.4b	(.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b)) (/.f64 1/2 a))
✓	4.6b	(/.f64 (*.f64 c a) b)

Compiler

Compiled 101 to 50 computations (50.5% saved)

series12.0ms (0.1%)

Counts

2 → 36

Calls

18 calls:

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

rewrite72.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

793×	`log-prod_binary64`
344×	`fma-def_binary64`
280×	`pow1/3_binary64`
275×	`expm1-udef_binary64`
275×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	310	27
2	4235	27

Stop Event

1×	node limit

Counts

2 → 102

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (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

138 → 107

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 -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)))

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 -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))

localize48.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))
✓	3.2b	(/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (*.f64 c 2) b) a)))
✓	4.6b	(.f64 (/.f64 (.f64 c 2) b) a)

Compiler

Compiled 107 to 67 computations (37.4% saved)

series10.0ms (0%)

Counts

2 → 72

Calls

18 calls:

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

rewrite72.0ms (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

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

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

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

localize92.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b)
✓	1.4b	(+.f64 b (cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2)))
	23.0b	(sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4))))
✓	34.8b	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))

Compiler

Compiled 181 to 104 computations (42.5% saved)

series8.0ms (0%)

Counts

2 → 40

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))
0.0ms	b	@	0	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))
0.0ms	c	@	inf	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))
0.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))
0.0ms	c	@	-inf	(cbrt.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 3/2))

rewrite131.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`prod-diff_binary64`
515×	`log-prod_binary64`
306×	`pow2_binary64`
277×	`fma-def_binary64`
209×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	254	29
2	3147	27

Stop Event

1×	node limit

Counts

2 → 80

Calls

Call 1

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

Outputs

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

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

simplify81.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

508×	`unswap-sqr_binary64`
440×	`fma-def_binary64`
402×	`associate-r_binary64`
401×	`times-frac_binary64`
367×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	99	1213
1	297	1191
2	968	1120
3	4858	1100
4	6705	1064

Stop Event

1×	node limit

Counts

120 → 125

Calls

Call 1

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

Outputs
b
(+.f64 b (.f64 -2 (/.f64 (.f64 c a) b)))
(+.f64 b (*.f64 -2 (/.f64 c (/.f64 b a))))
(fma.f64 -2 (/.f64 c (/.f64 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 c (/.f64 b a)) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b)
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.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 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.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 c (/.f64 b a)) b)) (.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b) (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b)))))
(+.f64 (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.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 c (/.f64 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 c (/.f64 b a)) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b)
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.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 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.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 c (/.f64 b a)) b)) (.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b) (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b)))))
(+.f64 (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) b))
(.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 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (/.f64 (*.f64 b b) (sqrt.f64 -4)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b))))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1/2 (*.f64 (/.f64 b (sqrt.f64 -4)) b))))
(+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) (.f64 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 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 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 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 (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.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 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2)))))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (.f64 1/16 (/.f64 (pow.f64 b 6) (pow.f64 (sqrt.f64 -4) 5))) (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 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 (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.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 (/.f64 b (sqrt.f64 -4)) b) (+.f64 (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) (.f64 (.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c 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 c (/.f64 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 c (/.f64 b a)) b))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b)
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.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 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.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 c (/.f64 b a)) b)) (.f64 -4 (*.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) b) (.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))))
(+.f64 (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b) (.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b)))))
(+.f64 (.f64 (/.f64 -4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) 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 2 c) a) b) b)
(-.f64 (.f64 (/.f64 2 b) (.f64 c a)) b)
(-.f64 (/.f64 (*.f64 c a) (/.f64 b 2)) b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -1 b)))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (neg.f64 b)))
(-.f64 (.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)))) b)
(-.f64 (.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (*.f64 a (/.f64 c b)))) b)
(-.f64 (.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (*.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 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (neg.f64 b))))
(fma.f64 (/.f64 c (/.f64 b a)) 2 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) 4 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (neg.f64 b))))
(-.f64 (fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (*.f64 (pow.f64 a 3) 4) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))) b)
(-.f64 (.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b)))) (fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) b))
(fma.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (-.f64 (.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)) b))
(.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)))
(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 b (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (*.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) b))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) b))
(fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) 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 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 b (/.f64 (sqrt.f64 -4) b)) 1/2))) (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)))) b))
(+.f64 (.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) (fma.f64 (/.f64 (.f64 b b) (sqrt.f64 -4)) (.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) b)))
(+.f64 (.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) (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 1/2 (sqrt.f64 (/.f64 1 (*.f64 c a)))) b)))
(+.f64 (.f64 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -4) (pow.f64 b 4))) 1/32) (fma.f64 (sqrt.f64 -4) (sqrt.f64 (.f64 c a)) (fma.f64 (.f64 (/.f64 b (sqrt.f64 -4)) b) (.f64 1/2 (sqrt.f64 (/.f64 1 (.f64 c a)))) 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 c (/.f64 (/.f64 b a) -2)))
(fma.f64 b 2 (.f64 (/.f64 -2 b) (.f64 c a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2)))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))
(.f64 2 (/.f64 (.f64 c a) b))
(*.f64 (/.f64 c (/.f64 b a)) 2)
(/.f64 (.f64 (.f64 2 c) a) b)
(.f64 (/.f64 2 b) (.f64 c a))
(/.f64 (*.f64 c a) (/.f64 b 2))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))
(.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))
(.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))))
(.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (*.f64 a (/.f64 c b))))
(.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (*.f64 a (/.f64 c 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 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5))))
(fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))) (/.f64 (.f64 (*.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5)))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (/.f64 (*.f64 (pow.f64 a 3) 4) (/.f64 (pow.f64 b 5) (pow.f64 c 3))))
(fma.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4))
(fma.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 (/.f64 4 (pow.f64 b 5)) (pow.f64 (.f64 c a) 3)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 4 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (/.f64 (.f64 4 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (pow.f64 b 5)))))
(fma.f64 1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 2 (+.f64 (/.f64 c (/.f64 b a)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))) (/.f64 (.f64 (.f64 4 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 b 5))))
(fma.f64 2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (.f64 (/.f64 1/2 (pow.f64 b 7)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20))))
(fma.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 4 (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(fma.f64 2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (fma.f64 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) 4 (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) 10) (pow.f64 b 7))))
(*.f64 2 b)
(*.f64 b 2)
(+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))
(fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))
(fma.f64 b 2 (/.f64 c (/.f64 (/.f64 b a) -2)))
(fma.f64 b 2 (.f64 (/.f64 -2 b) (.f64 c a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2)))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.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 b 2 (/.f64 c (/.f64 (/.f64 b a) -2)))
(fma.f64 b 2 (.f64 (/.f64 -2 b) (.f64 c a)))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b)))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2)))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2)))
(fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (*.f64 b 2))
(fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (*.f64 b 2))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 -2 (/.f64 (.f64 c a) b)) (*.f64 2 b))))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (.f64 b 2))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -4 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (pow.f64 a 3)) (fma.f64 -2 (/.f64 c (/.f64 b a)) (*.f64 b 2))))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (fma.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))
(fma.f64 -4 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b 5)) (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))

eval1.0s (5.1%)

Compiler: Compiled 46578 to 28272 computations (39.3% saved)

prune258.0ms (1.3%)

Pruning

30 alts after pruning (25 fresh and 5 done)

	Pruned	Kept	Total
New	1084	13	1097
Fresh	4	12	16
Picked	0	1	1
Done	1	4	5
Total	1089	30	1119

Error

2.0b

Counts

1119 → 30

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/2 a)))
	44.0b	(if (>=.f64 b 0) (.f64 c (.f64 (+.f64 b b) -1/2)) (.f64 (.f64 b -2) (/.f64 1/2 a)))
	21.0b	(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)) 1/6) 3) b) (/.f64 1/2 a)))
✓	31.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	33.0b	(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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (/.f64 1/2 a)))
✓	24.3b	(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)))
▶	44.0b	(if (>=.f64 b 0) (.f64 c (.f64 (+.f64 b b) -2)) (.f64 (.f64 b -2) (/.f64 1/2 a)))
	32.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	22.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 (/.f64 (.f64 b -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
▶	19.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)) 3)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	21.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	29.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (/.f64 1/2 a)))
	22.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (.f64 b -1))))
	33.6b	(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 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) (/.f64 1/2 a)))
	23.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
✓	19.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	22.0b	(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) (.f64 -1 b)) (.f64 2 a)))
	29.7b	(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)))
✓	22.0b	(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 -1 b)) (*.f64 2 a)))
	25.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (+.f64 1 (.f64 b (/.f64 -1 a))) 1))
	35.0b	(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) (.f64 -1 b)) (*.f64 2 a)))
	27.7b	(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 (.f64 a (.f64 c -4)) 1/4) 2) b) (/.f64 1/2 a)))
▶	29.9b	(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) (.f64 -1 b)) (*.f64 2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (/.f64 (.f64 c -2) 2) b) (.f64 (*.f64 b -2) (/.f64 1/2 a)))
	33.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	21.9b	(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a)))
	35.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
▶	34.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) 1/2))))
▶	44.2b	(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))

Compiler

Compiled 1810 to 1249 computations (31% saved)

localize101.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	1.2b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c))))
✓	12.8b	(-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)) 3)))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	23.1b	(pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)

Compiler

Compiled 227 to 123 computations (45.8% saved)

series19.0ms (0.1%)

Counts

2 → 56

Calls

18 calls:

Time	Variable		Point	Expression
5.0ms	a	@	inf	(pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)
1.0ms	b	@	0	(pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)
1.0ms	c	@	-inf	(pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)
1.0ms	c	@	inf	(pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)
1.0ms	a	@	-inf	(pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)

rewrite103.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

863×	`prod-diff_binary64`
652×	`log-prod_binary64`
309×	`fma-def_binary64`
257×	`expm1-udef_binary64`
257×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	17	36
1	368	30
2	4269	29

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

Inputs
(pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)
(-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)) 3)))

Outputs

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

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

874×	`associate-*l/_binary64`
664×	`associate-*r/_binary64`
334×	`associate-/r/_binary64`
284×	`fma-def_binary64`
250×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	2801
1	1002	2509
2	3965	2245

Stop Event

1×	node limit

Counts

247 → 271

Calls

Call 1

Inputs
(/.f64 1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (/.f64 1 b))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b) (+.f64 (.f64 2 (/.f64 (*.f64 c a) (pow.f64 b 3))) (/.f64 1 b)))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b) (+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 4/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 32/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 8 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) b) (/.f64 1 b))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/3072 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/3072 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(/.f64 1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (/.f64 1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (*.f64 4 (/.f64 (pow.f64 c 2) (pow.f64 b 4))))) b) (/.f64 1 b)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 2 (/.f64 (pow.f64 c 2) (pow.f64 b 4))) (.f64 4 (/.f64 (pow.f64 c 2) (pow.f64 b 4)))) (pow.f64 a 2)) b) (+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 8 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (+.f64 (.f64 32/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6))) (*.f64 4/3 (/.f64 (pow.f64 c 3) (pow.f64 b 6)))))) b) (/.f64 1 b))))
(exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.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 1/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c)))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.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 1/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (+.f64 (.f64 1/3072 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 1/384 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 1/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))))) (pow.f64 a 3)) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))) (pow.f64 b 2)) (.f64 c a))) (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c))))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (*.f64 c a))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (+.f64 (.f64 -1/3072 (/.f64 (pow.f64 b 6) (pow.f64 c 3))) (.f64 -1/512 (/.f64 (pow.f64 b 6) (pow.f64 c 3))))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a))))))) (pow.f64 a 3))) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (pow.f64 b 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 c)) (.f64 -1 (log.f64 (/.f64 -1 a)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 c 2))) (*.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 c 2))))) (pow.f64 a 2)))))
(.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -1/4))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1/4) (pow.f64 b 2)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -1/4)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1/4) (pow.f64 b 2)))) (+.f64 (.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (.f64 (sqrt.f64 -1/4) (pow.f64 b 4)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -1/4))))
(+.f64 (.f64 5/1024 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 7) (pow.f64 a 7)))) (.f64 (sqrt.f64 -1/4) (pow.f64 b 6)))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (sqrt.f64 -1/4) (pow.f64 b 2)))) (+.f64 (.f64 3/128 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (.f64 (sqrt.f64 -1/4) (pow.f64 b 4)))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (sqrt.f64 -1/4)))))
(/.f64 1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (/.f64 1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 5))) (/.f64 1 b))))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 32/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 5))) (/.f64 1 b)))))))
(/.f64 -1 b)
(-.f64 (.f64 -2 (/.f64 (.f64 c a) (pow.f64 b 3))) (/.f64 1 b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) (pow.f64 b 3)))) (/.f64 1 b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4/3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 32/3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 8 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 c a) (pow.f64 b 3))))) (/.f64 1 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))))))

Outputs
(/.f64 1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (/.f64 1 b))
(fma.f64 2 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 1 b))
(fma.f64 2 (*.f64 (/.f64 c (pow.f64 b 3)) a) (/.f64 1 b))
(fma.f64 2 (*.f64 (/.f64 a (pow.f64 b 3)) c) (/.f64 1 b))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b) (+.f64 (.f64 2 (/.f64 (*.f64 c a) (pow.f64 b 3))) (/.f64 1 b)))
(+.f64 (fma.f64 2 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 1 b)) (/.f64 (.f64 c c) (/.f64 b (.f64 (/.f64 (*.f64 a a) (pow.f64 b 4)) 6))))
(+.f64 (/.f64 1 b) (fma.f64 2 (.f64 (/.f64 c (pow.f64 b 3)) a) (/.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (.f64 6 (.f64 c c))) b)))
(+.f64 (/.f64 1 b) (fma.f64 2 (.f64 (/.f64 a (pow.f64 b 3)) c) (.f64 (/.f64 (.f64 (.f64 c c) 6) (.f64 b (pow.f64 b 4))) (.f64 a a))))
(+.f64 (/.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 4 (/.f64 (pow.f64 a 2) (pow.f64 b 4))) (.f64 2 (/.f64 (pow.f64 a 2) (pow.f64 b 4))))) b) (+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (+.f64 (/.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 4/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (+.f64 (.f64 32/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6))) (*.f64 8 (/.f64 (pow.f64 a 3) (pow.f64 b 6)))))) b) (/.f64 1 b))))
(+.f64 (/.f64 (.f64 c c) (/.f64 b (.f64 (/.f64 (.f64 a a) (pow.f64 b 4)) 6))) (fma.f64 2 (/.f64 c (/.f64 (pow.f64 b 3) a)) (+.f64 (/.f64 1 b) (/.f64 (pow.f64 c 3) (/.f64 b (fma.f64 4/3 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) 56/3)))))))
(+.f64 (+.f64 (/.f64 1 b) (.f64 (/.f64 (pow.f64 c 3) b) (.f64 (/.f64 (pow.f64 a 3) (pow.f64 b 6)) 20))) (fma.f64 2 (.f64 (/.f64 c (pow.f64 b 3)) a) (/.f64 (.f64 (/.f64 a (/.f64 (pow.f64 b 4) a)) (.f64 6 (.f64 c c))) b)))
(+.f64 (+.f64 (/.f64 1 b) (.f64 (/.f64 (pow.f64 c 3) b) (/.f64 (.f64 (pow.f64 a 3) 20) (pow.f64 b 6)))) (fma.f64 2 (.f64 (/.f64 a (pow.f64 b 3)) c) (.f64 (/.f64 (.f64 (.f64 c c) 6) (.f64 b (pow.f64 b 4))) (.f64 a a))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (*.f64 -1 (log.f64 (/.f64 1 c))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (*.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))
(.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.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 -1/2) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c a) (*.f64 b b)))))
(fma.f64 1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2)) c)) (.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (*.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (fma.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (+.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 -1/2) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 3/128)))))
(+.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) 3/128) c)) (fma.f64 1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))))
(+.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2)) c) (+.f64 (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) 3/128) c) (/.f64 (.f64 (.f64 b b) 1/8) a))) (.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2)))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 1/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 1/3072 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b 6) (pow.f64 a 3))))) (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c))))))) (pow.f64 c 3)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (pow.f64 b 2)) (.f64 c a))) (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 -4 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)))))
(+.f64 (+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (fma.f64 1/8 (/.f64 (pow.f64 (exp.f64 -1/2) (+.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 -1/2) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))) (/.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 3/128))))) (/.f64 (fma.f64 1/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 3/1024)) (/.f64 (pow.f64 c 3) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (neg.f64 (neg.f64 (log.f64 c))))))))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c)) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c))) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) 3/128) c))) (+.f64 (.f64 (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) 5/1024) (pow.f64 c 3)) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a -4)) (log.f64 c)))) (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (*.f64 a -4)) (log.f64 c)))))
(+.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2)) c) (+.f64 (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) 3/128) c) (/.f64 (.f64 (.f64 b b) 1/8) a))) (.f64 (+.f64 (/.f64 (/.f64 (.f64 (pow.f64 b 6) 5/1024) (pow.f64 a 3)) (pow.f64 c 3)) 1) (.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (*.f64 -1 (log.f64 (/.f64 -1 c))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (*.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c))))
(.f64 (pow.f64 (.f64 a 4) -1/2) (pow.f64 (/.f64 -1 c) 1/2))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.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 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (.f64 1/8 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (*.f64 b b) a))))
(fma.f64 1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (*.f64 a 4)) (log.f64 (/.f64 -1 c)))))
(fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 (pow.f64 (.f64 a 4) -1/2) (pow.f64 (/.f64 -1 c) 1/2)) c)) (.f64 (pow.f64 (.f64 a 4) -1/2) (pow.f64 (/.f64 -1 c) 1/2)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a)))))
(+.f64 (+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (.f64 1/8 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (.f64 b b) a)))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 b 4) (*.f64 a a)) 3/128))))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) 3/128) c)))
(+.f64 (.f64 (/.f64 (.f64 (pow.f64 (.f64 a 4) -1/2) (pow.f64 (/.f64 -1 c) 1/2)) c) (+.f64 (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) 3/128) c) (/.f64 (.f64 (.f64 b b) 1/8) a))) (.f64 (pow.f64 (.f64 a 4) -1/2) (pow.f64 (/.f64 -1 c) 1/2)))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 1/128 (/.f64 (pow.f64 b 4) (pow.f64 a 2))) (.f64 1/64 (/.f64 (pow.f64 b 4) (pow.f64 a 2))))) (pow.f64 c 2)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (+.f64 (.f64 -1/3072 (/.f64 (pow.f64 b 6) (pow.f64 a 3))) (.f64 -1/512 (/.f64 (pow.f64 b 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (.f64 1/8 (/.f64 (.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 (.f64 4 a)) (.f64 -1 (log.f64 (/.f64 -1 c)))))) (pow.f64 b 2)) (*.f64 c a))))))
(+.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 b 4) (.f64 a a)) 3/128))) (fma.f64 -1 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (/.f64 (pow.f64 c 3) (fma.f64 -1/384 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -7/3072)))) (+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) (.f64 1/8 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 (.f64 a 4)) (neg.f64 (log.f64 (/.f64 -1 c))))) c) (/.f64 (*.f64 b b) a))))))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 b (/.f64 a b)) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) c)) (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c))))) (-.f64 (.f64 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) c) (/.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) 3/128) c)) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 (.f64 a 4)) (log.f64 (/.f64 -1 c)))) (/.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -5/1024)))))
(+.f64 (fma.f64 1/8 (.f64 (/.f64 (.f64 b b) a) (/.f64 (.f64 (pow.f64 (.f64 a 4) -1/2) (pow.f64 (/.f64 -1 c) 1/2)) c)) (.f64 (pow.f64 (.f64 a 4) -1/2) (pow.f64 (/.f64 -1 c) 1/2))) (.f64 (/.f64 (.f64 (pow.f64 (.f64 a 4) -1/2) (pow.f64 (/.f64 -1 c) 1/2)) (.f64 c c)) (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 b 4) a) a) 3/128) (/.f64 (.f64 (/.f64 (pow.f64 b 6) (pow.f64 a 3)) -5/1024) c))))
(/.f64 1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (/.f64 1 b))
(fma.f64 2 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 1 b))
(fma.f64 2 (*.f64 (/.f64 c (pow.f64 b 3)) a) (/.f64 1 b))
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(+.f64 (.f64 (sqrt.f64 -1/4) (+.f64 (.f64 (.f64 1/8 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) (.f64 b b)) (.f64 (.f64 3/128 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5)))) (pow.f64 b 4)))) (.f64 (sqrt.f64 -1/4) (+.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 5/1024 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 7)) (pow.f64 a 7)))) (pow.f64 b 6)))))
(/.f64 1 b)
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (/.f64 1 b))
(fma.f64 2 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 1 b))
(fma.f64 2 (*.f64 (/.f64 c (pow.f64 b 3)) a) (/.f64 1 b))
(fma.f64 2 (*.f64 (/.f64 a (pow.f64 b 3)) c) (/.f64 1 b))
(+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 5))) (/.f64 1 b))))
(fma.f64 2 (/.f64 c (/.f64 (pow.f64 b 3) a)) (fma.f64 4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 a a))) (/.f64 1 b))))
(+.f64 (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 5)) (.f64 a a)) 6) (fma.f64 2 (*.f64 (/.f64 c (pow.f64 b 3)) a) (/.f64 1 b)))
(+.f64 (/.f64 (.f64 (.f64 c c) 6) (/.f64 (/.f64 (pow.f64 b 5) a) a)) (fma.f64 2 (*.f64 (/.f64 a (pow.f64 b 3)) c) (/.f64 1 b)))
(+.f64 (.f64 8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 32/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 2 (/.f64 (.f64 c a) (pow.f64 b 3))) (+.f64 (.f64 4/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7))) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 5))) (/.f64 1 b)))))))
(fma.f64 8 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7)) (fma.f64 32/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7)) (fma.f64 2 (/.f64 c (/.f64 (pow.f64 b 3) a)) (fma.f64 4/3 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 7)) (fma.f64 4 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 5) (*.f64 a a))) (/.f64 1 b)))))))
(+.f64 (fma.f64 2 (.f64 (/.f64 c (pow.f64 b 3)) a) (fma.f64 4/3 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 7)) (pow.f64 a 3)) (+.f64 (/.f64 1 b) (.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b 5)) (.f64 a a)) 6)))) (.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 7)) (pow.f64 a 3)) 56/3))
(+.f64 (fma.f64 2 (.f64 (/.f64 a (pow.f64 b 3)) c) (fma.f64 4/3 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (+.f64 (/.f64 1 b) (/.f64 (.f64 (.f64 c c) 6) (/.f64 (/.f64 (pow.f64 b 5) a) a))))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) 56/3))
(/.f64 -1 b)
(-.f64 (.f64 -2 (/.f64 (.f64 c a) (pow.f64 b 3))) (/.f64 1 b))
(-.f64 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) -2) (/.f64 1 b))
(fma.f64 (*.f64 (/.f64 c (pow.f64 b 3)) a) -2 (/.f64 -1 b))
(fma.f64 (*.f64 (/.f64 a (pow.f64 b 3)) c) -2 (/.f64 -1 b))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 5))) (.f64 -2 (/.f64 (*.f64 c a) (pow.f64 b 3)))) (/.f64 1 b))
(-.f64 (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 6) (pow.f64 b 5)) (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) -2)) (/.f64 1 b))
(fma.f64 -1 (/.f64 (.f64 a (.f64 a (.f64 c c))) (/.f64 (pow.f64 b 5) 6)) (fma.f64 (.f64 (/.f64 c (pow.f64 b 3)) a) -2 (/.f64 -1 b)))
(-.f64 (fma.f64 (.f64 (/.f64 a (pow.f64 b 3)) c) -2 (/.f64 -1 b)) (/.f64 (.f64 (*.f64 c c) 6) (/.f64 (/.f64 (pow.f64 b 5) a) a)))
(-.f64 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 2 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 5))) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 4/3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 32/3 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 8 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) (pow.f64 b 7))) (.f64 -2 (/.f64 (.f64 c a) (pow.f64 b 3))))) (/.f64 1 b))
(-.f64 (fma.f64 -1 (/.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 6) (pow.f64 b 5)) (fma.f64 -1 (/.f64 (fma.f64 4/3 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 56/3)) (pow.f64 b 7)) (.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) -2))) (/.f64 1 b))
(+.f64 (-.f64 (-.f64 (/.f64 (.f64 (.f64 c a) -2) (pow.f64 b 3)) (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) 20) (pow.f64 b 7))) (/.f64 (.f64 a (.f64 a (*.f64 c c))) (/.f64 (pow.f64 b 5) 6))) (/.f64 -1 b))
(+.f64 (/.f64 (.f64 (.f64 a (.f64 a (.f64 c c))) -6) (pow.f64 b 5)) (+.f64 (/.f64 (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -20) (pow.f64 b 7)) (fma.f64 (*.f64 (/.f64 a (pow.f64 b 3)) c) -2 (/.f64 -1 b))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -4)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))
(.f64 -1 (+.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4)) b))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (*.f64 -1 b)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b)))
(fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (neg.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)) (neg.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4) b)))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3)))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -4)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4))) (.f64 -1 b))))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -4) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -4))) (.f64 -1 (+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -4)) b))))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -4) b))) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))))
(fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3))) (/.f64 (/.f64 (pow.f64 b 4) -4) (sqrt.f64 -4))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -4)) b)) (neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -4) b))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (*.f64 2 (/.f64 a (/.f64 b c))))
(fma.f64 b -2 (/.f64 (*.f64 a 2) (/.f64 b c)))
(+.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 a (/.f64 b c)) (fma.f64 b -2 (.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) a) (.f64 b -2)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (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) (/.f64 (pow.f64 b 3) a)) a) (.f64 (/.f64 (*.f64 4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))))
(.f64 -2 (/.f64 (.f64 c a) b))
(*.f64 -2 (/.f64 c (/.f64 b a)))
(*.f64 -2 (/.f64 a (/.f64 b c)))
(/.f64 (.f64 (.f64 -2 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 -2 (+.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))) (/.f64 c (/.f64 b a))))
(.f64 -2 (+.f64 (/.f64 a (/.f64 b c)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a))))
(.f64 -2 (+.f64 (.f64 (/.f64 c b) a) (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) 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 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 -2 (/.f64 a (/.f64 b c)) (/.f64 (.f64 (pow.f64 c 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 a 3)))))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) a) (fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 (/.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -2 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -2 (/.f64 (.f64 (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 (.f64 -2 (.f64 c c)) (.f64 a a)) 2) (.f64 (.f64 16 (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 -1/2 (/.f64 (fma.f64 16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 4 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (fma.f64 -2 (/.f64 a (/.f64 b c)) (/.f64 (*.f64 (pow.f64 c 3) -4) (/.f64 (pow.f64 b 5) (pow.f64 a 3))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 20) (pow.f64 b 7)) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) a) (fma.f64 -2 (.f64 (/.f64 c b) a) (.f64 (/.f64 (*.f64 -4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))))
(*.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 2 (/.f64 a (/.f64 b c))))
(fma.f64 b -2 (/.f64 (*.f64 a 2) (/.f64 b c)))
(+.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 a (/.f64 b c)) (fma.f64 b -2 (.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) a) (.f64 b -2)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (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) (/.f64 (pow.f64 b 3) a)) a) (.f64 (/.f64 (*.f64 4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))))
(*.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 2 (/.f64 a (/.f64 b c))))
(fma.f64 b -2 (/.f64 (*.f64 a 2) (/.f64 b c)))
(+.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 a (/.f64 b c)) (fma.f64 b -2 (.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)))))
(fma.f64 2 (.f64 (/.f64 c b) a) (fma.f64 2 (.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) a) (.f64 b -2)))
(+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -2 b) (+.f64 (.f64 4 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (.f64 2 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))))))
(fma.f64 2 (/.f64 c (/.f64 b a)) (fma.f64 -2 b (fma.f64 4 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (pow.f64 a 3))) (.f64 2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a)))))))
(fma.f64 2 (/.f64 a (/.f64 b c)) (fma.f64 b -2 (fma.f64 2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a a)) (.f64 4 (*.f64 (/.f64 (pow.f64 c 3) (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) (/.f64 (pow.f64 b 3) a)) a) (.f64 (/.f64 (*.f64 4 (pow.f64 c 3)) (pow.f64 b 5)) (pow.f64 a 3)))))

localize20.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.4b	(.f64 (.f64 b -2) (/.f64 1/2 a))

Compiler

Compiled 58 to 34 computations (41.4% saved)

localize38.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.2b	(/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))

Compiler

Compiled 55 to 32 computations (41.8% saved)

localize99.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	6.5b	(.f64 (.f64 c c) (*.f64 -16 a))
✓	19.5b	(/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4))))
	23.0b	(sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 4 a) c)))
✓	28.5b	(sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4)))))

Compiler

Compiled 258 to 134 computations (48.1% saved)

series32.0ms (0.2%)

Counts

3 → 80

Calls

24 calls:

Time	Variable		Point	Expression
12.0ms	a	@	inf	(sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4)))))
2.0ms	a	@	0	(sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4)))))
2.0ms	c	@	0	(sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4)))))
2.0ms	b	@	0	(sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4)))))
1.0ms	c	@	inf	(sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (*.f64 a -4)))))

rewrite85.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`pow2_binary64`
426×	`fma-def_binary64`
314×	`pow1/3_binary64`
306×	`expm1-udef_binary64`
306×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	68
1	358	64
2	4941	64

Stop Event

1×	node limit

Counts

3 → 107

Calls

Call 1

Inputs

(sqrt.f64 (/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 -16 a))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4)))))

(/.f64 (*.f64 a (*.f64 (*.f64 c c) (*.f64 -16 a))) (-.f64 (*.f64 b b) (*.f64 c (*.f64 a -4))))

(*.f64 (*.f64 c c) (*.f64 -16 a))

Outputs

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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 (*.f64 c c) -16)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 (*.f64 c c) -16)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 c c) -16)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 a (*.f64 (*.f64 c c) -16))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (sqrt.f64 (*.f64 a -16))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 (*.f64 a -16) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 a -16) 3) (pow.f64 (*.f64 c c) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 256 (*.f64 a a)) (pow.f64 c 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -16) a) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 (*.f64 c c) -16)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 c c) -16)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 (*.f64 a -16) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a -16) 3) (pow.f64 (*.f64 c c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 (*.f64 c c) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 (*.f64 c c) -16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 2 (log.f64 c) (log.f64 (*.f64 a -16))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 2 (log.f64 c) (log.f64 (*.f64 a -16))) 1))))))

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-def_binary64`
889×	`associate-/l*_binary64`
844×	`associate-/r*_binary64`
380×	`distribute-lft-in_binary64`
380×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2905
1	595	2871
2	2472	2679

Stop Event

1×	node limit

Counts

187 → 157

Calls

Call 1

Inputs
(/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))
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(+.f64 (.f64 -1/2 (.f64 c (.f64 (+.f64 (.f64 -16 (/.f64 (pow.f64 c 2) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 c (pow.f64 b 3))) 2)) (.f64 (pow.f64 a 3) (.f64 b (sqrt.f64 -16)))))) (+.f64 (.f64 -1/2 (.f64 c (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (+.f64 (.f64 -16 (/.f64 (pow.f64 c 2) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 c (pow.f64 b 3))) 2))) (pow.f64 b 2))) (.f64 64 (/.f64 (pow.f64 c 3) (pow.f64 b 8)))) (.f64 b (sqrt.f64 -16)))))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b))))
(/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))
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(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -16)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -16))) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (pow.f64 b 2) (sqrt.f64 -16)))))
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(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (pow.f64 b 4) (.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) 2)) (sqrt.f64 -16)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -16))) (+.f64 (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 b 2) (sqrt.f64 -16)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (+.f64 (.f64 1/256 (/.f64 1 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 -1/8 (/.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) 2)) (.f64 c a)))) (.f64 (pow.f64 b 6) (sqrt.f64 -16))))))))
(/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b)
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))
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(.f64 -1 (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))
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(+.f64 (.f64 1/2 (/.f64 (.f64 c (.f64 a (.f64 (+.f64 (.f64 -16 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (pow.f64 (.f64 -2 (.f64 c a)) 2)) (sqrt.f64 -16)))) (pow.f64 b 5))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (.f64 -1 (/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b))))
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(.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4))))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (.f64 -256 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 6))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4)))))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (.f64 -256 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 6))) (+.f64 (.f64 1024 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 5)) (pow.f64 b 8))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4))))))
(.f64 -4 (.f64 c a))
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(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 c a))) (+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 c a))) (+.f64 (pow.f64 b 2) (+.f64 (.f64 -4 (.f64 c a)) (.f64 1/16 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4))))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (.f64 -256 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 6))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4)))))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (.f64 -256 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 6))) (+.f64 (.f64 1024 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 5)) (pow.f64 b 8))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4))))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 c a))) (+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 c a))) (+.f64 (pow.f64 b 2) (+.f64 (.f64 -4 (.f64 c a)) (.f64 1/16 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 c a))) (+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 c a))) (+.f64 (pow.f64 b 2) (+.f64 (.f64 -4 (.f64 c a)) (.f64 1/16 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(.f64 -4 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a)))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 c a))) (+.f64 (pow.f64 b 2) (.f64 -4 (.f64 c a))))
(+.f64 (.f64 -1/4 (/.f64 (pow.f64 b 4) (.f64 c a))) (+.f64 (pow.f64 b 2) (+.f64 (.f64 -4 (.f64 c a)) (.f64 1/16 (/.f64 (pow.f64 b 6) (.f64 (pow.f64 c 2) (pow.f64 a 2)))))))
(.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4))))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (.f64 -256 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 6))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4)))))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (.f64 -256 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 6))) (+.f64 (.f64 1024 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 5)) (pow.f64 b 8))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4))))))
(.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2)))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4))))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (.f64 -256 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 6))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4)))))
(+.f64 (.f64 -16 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 2))) (+.f64 (.f64 -256 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 b 6))) (+.f64 (.f64 1024 (/.f64 (.f64 (pow.f64 c 5) (pow.f64 a 5)) (pow.f64 b 8))) (.f64 64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 4))))))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 (pow.f64 c 2) a))

Outputs
(/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b)
(.f64 (/.f64 c b) (.f64 a (sqrt.f64 -16)))
(*.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 -16))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (sqrt.f64 -16) (.f64 a a)))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a (sqrt.f64 -16)))) (.f64 (/.f64 c b) (.f64 a (sqrt.f64 -16))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (sqrt.f64 -16)) (.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 -16)))
(+.f64 (.f64 -1/2 (.f64 c (.f64 (+.f64 (.f64 -16 (/.f64 (pow.f64 c 2) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 c (pow.f64 b 3))) 2)) (.f64 (pow.f64 a 3) (.f64 b (sqrt.f64 -16)))))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b)))
(fma.f64 -1/2 (.f64 c (.f64 (fma.f64 -16 (/.f64 (.f64 c c) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 c (pow.f64 b 3))) 2)) (.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -16) b)))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (sqrt.f64 -16) (.f64 a a)))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b)))
(fma.f64 -1/2 (.f64 c (.f64 (fma.f64 -16 (/.f64 (.f64 c c) (pow.f64 b 6)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 6)) 4)) (.f64 (sqrt.f64 -16) (.f64 b (pow.f64 a 3))))) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a (sqrt.f64 -16)))) (.f64 (/.f64 c b) (*.f64 a (sqrt.f64 -16)))))
(fma.f64 -1/2 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 6) c)) -12) (.f64 (.f64 (sqrt.f64 -16) (.f64 b (pow.f64 a 3))) c)) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (sqrt.f64 -16)) (*.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 -16))))
(+.f64 (.f64 -1/2 (.f64 c (.f64 (+.f64 (.f64 -16 (/.f64 (pow.f64 c 2) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 c (pow.f64 b 3))) 2)) (.f64 (pow.f64 a 3) (.f64 b (sqrt.f64 -16)))))) (+.f64 (.f64 -1/2 (.f64 c (.f64 (pow.f64 a 4) (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c (+.f64 (.f64 -16 (/.f64 (pow.f64 c 2) (pow.f64 b 6))) (pow.f64 (.f64 -2 (/.f64 c (pow.f64 b 3))) 2))) (pow.f64 b 2))) (.f64 64 (/.f64 (pow.f64 c 3) (pow.f64 b 8)))) (.f64 b (sqrt.f64 -16)))))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b))))
(fma.f64 -1/2 (.f64 c (.f64 (fma.f64 -16 (/.f64 (.f64 c c) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 c (pow.f64 b 3))) 2)) (.f64 (pow.f64 a 3) (.f64 (sqrt.f64 -16) b)))) (fma.f64 -1/2 (.f64 c (.f64 (pow.f64 a 4) (.f64 (.f64 (sqrt.f64 -16) b) (fma.f64 2 (/.f64 c (/.f64 (.f64 b b) (fma.f64 -16 (/.f64 (.f64 c c) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 c (pow.f64 b 3))) 2)))) (.f64 64 (/.f64 (pow.f64 c 3) (pow.f64 b 8))))))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (sqrt.f64 -16) (.f64 a a)))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))))
(+.f64 (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a (sqrt.f64 -16)))) (.f64 (/.f64 c b) (.f64 a (sqrt.f64 -16)))) (.f64 (.f64 c -1/2) (+.f64 (.f64 (fma.f64 -16 (/.f64 (.f64 c c) (pow.f64 b 6)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 6)) 4)) (.f64 (sqrt.f64 -16) (.f64 b (pow.f64 a 3)))) (.f64 (.f64 (sqrt.f64 -16) b) (.f64 (pow.f64 a 4) (fma.f64 2 (.f64 (/.f64 c (.f64 b b)) (fma.f64 -16 (/.f64 (.f64 c c) (pow.f64 b 6)) (.f64 (/.f64 (.f64 c c) (pow.f64 b 6)) 4))) (*.f64 64 (/.f64 (pow.f64 c 3) (pow.f64 b 8)))))))))
(fma.f64 -1/2 (.f64 c (.f64 (.f64 (sqrt.f64 -16) b) (+.f64 (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 6) c)) -12) (pow.f64 a 3)) (.f64 (pow.f64 a 4) (fma.f64 (/.f64 2 b) (/.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 6) c)) -12) (/.f64 b c)) (.f64 (/.f64 64 (pow.f64 b 8)) (pow.f64 c 3))))))) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (sqrt.f64 -16)) (.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 -16))))
(/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b)
(.f64 (/.f64 c b) (.f64 a (sqrt.f64 -16)))
(*.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 -16))
(+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))
(fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (sqrt.f64 -16) (.f64 a a)))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b))
(fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a (sqrt.f64 -16)))) (.f64 (/.f64 c b) (.f64 a (sqrt.f64 -16))))
(fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (sqrt.f64 -16)) (.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 -16)))
(+.f64 (.f64 -1/2 (.f64 (pow.f64 c 3) (.f64 a (.f64 b (.f64 (sqrt.f64 -16) (+.f64 (pow.f64 (.f64 -2 (/.f64 a (pow.f64 b 3))) 2) (.f64 -16 (/.f64 (pow.f64 a 2) (pow.f64 b 6))))))))) (+.f64 (.f64 -2 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 a 2) (sqrt.f64 -16))) (pow.f64 b 3))) (/.f64 (.f64 c (.f64 a (sqrt.f64 -16))) b)))
(fma.f64 -1/2 (.f64 (pow.f64 c 3) (.f64 a (.f64 (.f64 (sqrt.f64 -16) b) (fma.f64 -16 (/.f64 (.f64 a a) (pow.f64 b 6)) (pow.f64 (.f64 -2 (/.f64 a (pow.f64 b 3))) 2))))) (fma.f64 -2 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 (sqrt.f64 -16) (.f64 a a)))) (/.f64 (.f64 c (*.f64 a (sqrt.f64 -16))) b)))
(fma.f64 -1/2 (.f64 a (.f64 (.f64 (.f64 (sqrt.f64 -16) b) (fma.f64 -16 (/.f64 a (/.f64 (pow.f64 b 6) a)) (.f64 4 (/.f64 a (/.f64 (pow.f64 b 6) a))))) (pow.f64 c 3))) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a (sqrt.f64 -16)))) (.f64 (/.f64 c b) (*.f64 a (sqrt.f64 -16)))))
(fma.f64 -1/2 (.f64 (.f64 (.f64 (sqrt.f64 -16) b) (.f64 (.f64 (/.f64 a (pow.f64 b 6)) a) -12)) (.f64 a (pow.f64 c 3))) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (sqrt.f64 -16)) (.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 -16))))
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(fma.f64 -1/2 (.f64 a (.f64 (.f64 (sqrt.f64 -16) (.f64 b (fma.f64 2 (/.f64 (fma.f64 -16 (/.f64 a (/.f64 (pow.f64 b 6) a)) (.f64 4 (/.f64 a (/.f64 (pow.f64 b 6) a)))) (/.f64 (.f64 b b) a)) (/.f64 64 (/.f64 (pow.f64 b 8) (pow.f64 a 3)))))) (pow.f64 c 4))) (fma.f64 -1/2 (.f64 a (.f64 (.f64 (.f64 (sqrt.f64 -16) b) (fma.f64 -16 (/.f64 a (/.f64 (pow.f64 b 6) a)) (.f64 4 (/.f64 a (/.f64 (pow.f64 b 6) a))))) (pow.f64 c 3))) (fma.f64 -2 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) (.f64 a (.f64 a (sqrt.f64 -16)))) (.f64 (/.f64 c b) (*.f64 a (sqrt.f64 -16))))))
(fma.f64 -1/2 (.f64 (.f64 a b) (+.f64 (.f64 (.f64 (sqrt.f64 -16) (fma.f64 2 (.f64 (/.f64 a (.f64 b b)) (.f64 (.f64 (/.f64 a (pow.f64 b 6)) a) -12)) (.f64 (/.f64 64 (pow.f64 b 8)) (pow.f64 a 3)))) (pow.f64 c 4)) (.f64 (.f64 (sqrt.f64 -16) (.f64 (.f64 (/.f64 a (pow.f64 b 6)) a) -12)) (pow.f64 c 3)))) (fma.f64 -2 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (.f64 a a)))) (sqrt.f64 -16)) (*.f64 (/.f64 c (/.f64 b a)) (sqrt.f64 -16))))
(.f64 1/2 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -16)))
(.f64 1/2 (.f64 (sqrt.f64 -16) (sqrt.f64 (*.f64 c a))))
(.f64 (sqrt.f64 -16) (.f64 1/2 (sqrt.f64 (*.f64 c a))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -16))) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (pow.f64 b 2) (sqrt.f64 -16)))))
(fma.f64 1/2 (.f64 (sqrt.f64 -16) (sqrt.f64 (.f64 c a))) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (sqrt.f64 -16) (.f64 b b)))))
(fma.f64 1/2 (.f64 (sqrt.f64 -16) (sqrt.f64 (.f64 c a))) (.f64 -1/16 (.f64 (sqrt.f64 -16) (.f64 (.f64 b b) (sqrt.f64 (/.f64 (/.f64 1 c) a))))))
(.f64 (sqrt.f64 -16) (+.f64 (.f64 1/2 (sqrt.f64 (.f64 c a))) (.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (.f64 c a)))) (*.f64 b b))))
(+.f64 (.f64 (sqrt.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (pow.f64 b 4) (.f64 (-.f64 (.f64 1/64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (pow.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3))))) 2)) (sqrt.f64 -16)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -16))) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (*.f64 (pow.f64 b 2) (sqrt.f64 -16))))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3))) (.f64 (pow.f64 b 4) (.f64 (sqrt.f64 -16) (-.f64 (/.f64 1/64 (.f64 (pow.f64 a 3) (pow.f64 c 3))) (pow.f64 (.f64 -1/16 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 3)) (pow.f64 a 3)))) 2)))) (fma.f64 1/2 (.f64 (sqrt.f64 -16) (sqrt.f64 (.f64 c a))) (.f64 -1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) a)) (.f64 (sqrt.f64 -16) (*.f64 b b))))))
(fma.f64 (sqrt.f64 (.f64 (pow.f64 a 3) (pow.f64 c 3))) (.f64 (sqrt.f64 -16) (.f64 (pow.f64 b 4) (-.f64 (/.f64 (/.f64 1/64 (pow.f64 a 3)) (pow.f64 c 3)) (pow.f64 (.f64 -1/16 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 c 3))))) 2)))) (fma.f64 1/2 (.f64 (sqrt.f64 -16) (sqrt.f64 (.f64 c a))) (.f64 -1/16 (.f64 (sqrt.f64 -16) (.f64 (*.f64 b b) (sqrt.f64 (/.f64 (/.f64 1 c) a)))))))
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(.f64 a (.f64 -16 (*.f64 c c)))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 a (*.f64 c c)))
(.f64 a (.f64 -16 (*.f64 c c)))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 a (*.f64 c c)))
(.f64 a (.f64 -16 (*.f64 c c)))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 a (*.f64 c c)))
(.f64 a (.f64 -16 (*.f64 c c)))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 a (*.f64 c c)))
(.f64 a (.f64 -16 (*.f64 c c)))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 a (*.f64 c c)))
(.f64 a (.f64 -16 (*.f64 c c)))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 a (*.f64 c c)))
(.f64 a (.f64 -16 (*.f64 c c)))
(.f64 -16 (.f64 (pow.f64 c 2) a))
(.f64 -16 (.f64 a (*.f64 c c)))
(.f64 a (.f64 -16 (*.f64 c c)))

localize57.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	2.1b	(exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (*.f64 2 (/.f64 c b)) a))))))
✓	3.2b	(/.f64 c (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)))
✓	4.6b	(.f64 (.f64 2 (/.f64 c b)) a)
✓	15.9b	(log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (*.f64 2 (/.f64 c b)) a)))))

Compiler

Compiled 149 to 86 computations (42.3% saved)

series20.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

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

rewrite88.0ms (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	14	69
1	280	69
2	3479	69

Stop Event

1×	node limit

Counts

4 → 179

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

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

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

631×	`associate-*l/_binary64`
510×	`associate-*r/_binary64`
239×	`associate-+l-_binary64`
235×	`distribute-rgt-in_binary64`
229×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	3983
1	783	3732
2	3325	3713

Stop Event

1×	node limit

Counts

323 → 255

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)))))
(*.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 (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 c (*.f64 b (/.f64 b a))) (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 (.f64 c 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 (.f64 1/2 (*.f64 (/.f64 c (pow.f64 b 4)) c)) a))) (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 (.f64 c 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 (.f64 1/2 (.f64 (/.f64 c (pow.f64 b 4)) c)) a))) (+.f64 (.f64 (pow.f64 a 3) (/.f64 1/3 (/.f64 (pow.f64 b 6) (pow.f64 c 3)))) (log.f64 (/.f64 (neg.f64 c) b))))
(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 b (*.f64 c (/.f64 a b))))
(+.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))))
(fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c a) (.f64 c a))) (+.f64 (log.f64 (/.f64 b 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 b (.f64 c (/.f64 a b)))))
(+.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 b (.f64 c (/.f64 a b))))))
(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 b (*.f64 c (/.f64 a b))))
(+.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))))
(fma.f64 1/2 (/.f64 (pow.f64 b 4) (.f64 (.f64 c a) (.f64 c a))) (+.f64 (log.f64 (/.f64 b 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 b (.f64 c (/.f64 a b)))))
(+.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)))))
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(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(-.f64 (-.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (+.f64 (/.f64 c b) (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(*.f64 -1 (/.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)) (/.f64 (neg.f64 c) b))
(-.f64 (/.f64 (neg.f64 c) b) (/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a)))
(-.f64 (/.f64 (neg.f64 c) b) (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))))))
(-.f64 (-.f64 (/.f64 (neg.f64 c) b) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (*.f64 a a)))
(-.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (+.f64 (/.f64 c b) (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))) (+.f64 (.f64 -1 (/.f64 c b)) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7))) (.f64 -1 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))))))
(fma.f64 -1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)) (fma.f64 -1 (/.f64 c b) (fma.f64 -1 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))) (neg.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (.f64 (neg.f64 (.f64 a a)) (pow.f64 c 3)) (pow.f64 b 5)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3))) (/.f64 c b)) (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(-.f64 (-.f64 (.f64 (/.f64 (neg.f64 (pow.f64 c 3)) (pow.f64 b 5)) (.f64 a a)) (+.f64 (/.f64 c b) (.f64 (/.f64 a (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(/.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 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a)))))
(+.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 (/.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 3) (.f64 a (.f64 c 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 (/.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 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3)))))
(/.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 (pow.f64 b 5) (.f64 (.f64 c c) (pow.f64 a 3))) (+.f64 (/.f64 b a) (/.f64 (pow.f64 b 3) (.f64 a (.f64 c a)))))
(+.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 (/.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 3) (.f64 a (.f64 c 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 (/.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 (pow.f64 b 5) (.f64 (*.f64 c c) (pow.f64 a 3)))))

eval841.0ms (4.1%)

Compiler: Compiled 47698 to 29213 computations (38.8% saved)

prune201.0ms (1%)

Pruning

37 alts after pruning (30 fresh and 7 done)

	Pruned	Kept	Total
New	915	11	926
Fresh	1	19	20
Picked	1	0	1
Done	2	7	9
Total	919	37	956

Error

0.3b

Counts

956 → 37

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/2 a)))
	44.0b	(if (>=.f64 b 0) (.f64 c (.f64 (+.f64 b b) -1/2)) (.f64 (.f64 b -2) (/.f64 1/2 a)))
	21.0b	(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)) 1/6) 3) b) (/.f64 1/2 a)))
	44.6b	(if (>=.f64 b 0) (exp.f64 (log.f64 (/.f64 b a))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
✓	31.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	33.0b	(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 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2) b) (/.f64 1/2 a)))
✓	24.3b	(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)))
✓	44.0b	(if (>=.f64 b 0) (.f64 c (.f64 (+.f64 b b) -2)) (.f64 (.f64 b -2) (/.f64 1/2 a)))
	32.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	22.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 (/.f64 (.f64 b -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
	35.0b	(if (>=.f64 b 0) (pow.f64 (pow.f64 (/.f64 (.f64 2 c) (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) 3) 1/3) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	35.3b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.f64 a -4))) b)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -4)))) b) (/.f64 1/2 a)))
	33.5b	(if (>=.f64 b 0) (exp.f64 (-.f64 (log.f64 (.f64 (neg.f64 c) 2)) (log.f64 (neg.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	21.7b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.f64 b 2)))) (.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -4)))) b) (/.f64 1/2 a)))
	29.8b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (/.f64 1/2 a)))
	30.2b	(if (>=.f64 b 0) (exp.f64 (log.f64 (/.f64 (neg.f64 c) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	22.1b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (.f64 b -1))))
	33.6b	(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 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) (/.f64 1/2 a)))
	23.4b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	21.8b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 b)) 3)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	19.7b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c a)))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
	44.7b	(if (>=.f64 b 0) (exp.f64 (+.f64 (log.f64 b) (log.f64 (/.f64 1 a)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
	22.0b	(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) (.f64 -1 b)) (.f64 2 a)))
	29.7b	(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)))
	37.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c 4) -1/2) (pow.f64 (/.f64 -1 a) 1/2))) 3)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
✓	22.0b	(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 -1 b)) (*.f64 2 a)))
	22.2b	(if (>=.f64 b 0) (/.f64 (/.f64 (.f64 c -2) 2) b) (.f64 (*.f64 b -2) (/.f64 1/2 a)))
	33.0b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
	30.0b	(if (>=.f64 b 0) (pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 c) (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
	36.3b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c)))))) 3)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	21.5b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) 1/2))))
	21.9b	(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a)))
✓	34.1b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
	25.4b	(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (+.f64 1 (.f64 b (/.f64 -1 a))) 1))
	27.7b	(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 (.f64 a (.f64 c -4)) 1/4) 2) b) (/.f64 1/2 a)))
	43.9b	(if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a))
	35.9b	(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2))) 3)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))

Compiler

Compiled 1242 to 871 computations (29.9% saved)

regimes456.0ms (2.2%)

Counts

56 → 5

Calls

Call 1

Inputs
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (.f64 c (.f64 (+.f64 b b) -1/2)) (.f64 (.f64 b -2) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (.f64 (+.f64 b b) -2)) (.f64 (.f64 b -2) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (.f64 b -1))))
(if (>=.f64 b 0) (/.f64 (/.f64 (.f64 c -2) 2) b) (.f64 (*.f64 b -2) (/.f64 1/2 a)))
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 (neg.f64 b) a))
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (*.f64 b -2) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) b) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (+.f64 1 (.f64 b (/.f64 -1 a))) 1))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (.f64 (/.f64 c b) (.f64 a -2))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (*.f64 -2 b)) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (+.f64 (.f64 2 (/.f64 (.f64 c a) b)) (.f64 -2 b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (sqrt.f64 (.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 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 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 (neg.f64 b) (.f64 -1 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 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (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) 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) (.f64 -1 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) (sqrt.f64 (/.f64 (.f64 a (.f64 (.f64 c c) (.f64 -16 a))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a)))
(if (>=.f64 b 0) (exp.f64 (log.f64 (/.f64 b a))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (exp.f64 (log.f64 (/.f64 (neg.f64 c) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 1 b)) 3)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (fma.f64 -2 (.f64 (+.f64 (/.f64 c (/.f64 b (/.f64 a b))) 1) (.f64 a (/.f64 c b))) (.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 (pow.f64 (pow.f64 (.f64 a (.f64 c -4)) 1/4) 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 -2 (/.f64 b (*.f64 c a))) (/.f64 1/2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.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 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 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (.f64 (-.f64 (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4)))) b) 1/2))))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (sqrt.f64 (/.f64 1 (fma.f64 b b (.f64 -4 (.f64 c 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 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -4)) (.f64 c (.f64 a -4)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -4))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (*.f64 2 a)))
(if (>=.f64 b 0) (exp.f64 (+.f64 (log.f64 b) (log.f64 (/.f64 1 a)))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 (/.f64 (.f64 b -1) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b (hypot.f64 (.f64 (sqrt.f64 c) (sqrt.f64 (.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) (exp.f64 (log.f64 (.f64 2 (/.f64 c (fma.f64 b -2 (.f64 (.f64 2 (/.f64 c b)) a)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 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 (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 (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) (pow.f64 (pow.f64 (/.f64 (.f64 2 c) (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))) 3) 1/3) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 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) (.f64 -1 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 (pow.f64 (pow.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) 1/6) 3) 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 c (/.f64 -2 (+.f64 b b))) (/.f64 (-.f64 (fma.f64 c (.f64 a -4) (.f64 b b)) (.f64 b b)) (.f64 (.f64 a 2) (+.f64 b (hypot.f64 b (sqrt.f64 (.f64 c (.f64 a -4))))))))
(if (>=.f64 b 0) (pow.f64 (exp.f64 1) (log.f64 (/.f64 (.f64 2 c) (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (exp.f64 (-.f64 (log.f64 (.f64 (neg.f64 c) 2)) (log.f64 (neg.f64 (fma.f64 2 (.f64 (/.f64 c b) a) (.f64 b -2)))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c -4) -1/2) (pow.f64 a -1/2))) 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) (/.f64 1 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 -4 (.f64 c a) (.f64 b b)) -1/2)) 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 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (.f64 4 c)) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 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 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (*.f64 -4 c))))) 2) b) (/.f64 1/2 a)))
(if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (/.f64 1 (pow.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 c 4) -1/2) (pow.f64 (/.f64 -1 a) 1/2))) 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) (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (.f64 -1/2 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (.f64 -4 c)))))) 3)))) (/.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 b a) (/.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 -1 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) (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))

Calls

4 calls:

141.0ms	c
119.0ms	a
79.0ms	(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)))
74.0ms	b

Results

Error	Segments	Branch
13.0b	5	`a`
5.6b	3	`b`
12.6b	6	`c`
5.6b	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 1731 to 1056 computations (39% saved)

bsearch2.0ms (0%)

Algorithm

4×	left-value

Steps

Time	Left	Right
0.0ms	4.921338390574502e+221	5.110168660052477e+232
0.0ms	0.0	1.5930571684155266e-292
0.0ms	-1.8953828487722554e-265	-8.572405930204594e-277
0.0ms	-inf	-7.912929293353314e+261

Compiler

Compiled 47 to 31 computations (34% saved)

regimes188.0ms (0.9%)

Counts

24 → 4

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) 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) (.f64 -1 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 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))

Calls

3 calls:

76.0ms	a
55.0ms	c
43.0ms	b

Results

Error	Segments	Branch
15.1b	5	`a`
5.6b	4	`b`
14.8b	5	`c`

Compiler

Compiled 561 to 323 computations (42.4% saved)

bsearch409.0ms (2%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
238.0ms	9.19721963232326e+59	1.844671800402951e+61
77.0ms	-2.255402854923685e-292	3.92221505255894e-305
93.0ms	-3.327560461046048e+158	-3.183593812267129e+149

Compiler

Compiled 1843 to 1227 computations (33.4% saved)

regimes119.0ms (0.6%)

Counts

23 → 4

Calls

Call 1

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

Outputs
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) 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) 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 (neg.f64 b) (.f64 -1 b)) (.f64 2 a)))

Calls

3 calls:

43.0ms	b
32.0ms	c
31.0ms	a

Results

Error	Segments	Branch
18.3b	3	`a`
5.6b	4	`b`
19.9b	2	`c`

Compiler

Compiled 530 to 305 computations (42.5% saved)

bsearch392.0ms (1.9%)

Algorithm

3×	binary-search

Steps

Time	Left	Right
233.0ms	9.19721963232326e+59	1.844671800402951e+61
68.0ms	-2.255402854923685e-292	3.92221505255894e-305
90.0ms	-3.327560461046048e+158	-3.183593812267129e+149

Compiler

Compiled 1807 to 1191 computations (34.1% saved)

regimes126.0ms (0.6%)

Counts

22 → 6

Calls

Call 1

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

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

Calls

3 calls:

55.0ms	b
30.0ms	a
29.0ms	c

Results

Error	Segments	Branch
18.3b	3	`a`
7.1b	6	`b`
19.9b	2	`c`

Compiler

Compiled 501 to 290 computations (42.1% saved)

bsearch455.0ms (2.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
165.0ms	0.0024148245359729634	17.226990646303765
65.0ms	3.861429000856628e-56	3.878327001280678e-55
66.0ms	2.3096978461689266e-82	6.515682861998313e-81
70.0ms	-2.255402854923685e-292	3.92221505255894e-305
88.0ms	-3.327560461046048e+158	-3.183593812267129e+149

Compiler

Compiled 2542 to 1737 computations (31.7% saved)

regimes106.0ms (0.5%)

Counts

20 → 6

Calls

Call 1

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

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

Calls

3 calls:

56.0ms	b
29.0ms	a
11.0ms	c

Results

Error	Segments	Branch
20.8b	2	`a`
10.0b	6	`b`
21.9b	1	`c`

Compiler

Compiled 436 to 256 computations (41.3% saved)

bsearch568.0ms (2.8%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
177.0ms	0.0024148245359729634	17.226990646303765
109.0ms	3.861429000856628e-56	3.878327001280678e-55
116.0ms	2.3096978461689266e-82	6.515682861998313e-81
72.0ms	-2.255402854923685e-292	3.92221505255894e-305
92.0ms	-4.413121031472536e-85	-5.238857660693585e-96

Compiler

Compiled 2436 to 1687 computations (30.7% saved)

regimes95.0ms (0.5%)

Counts

18 → 6

Calls

Call 1

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

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

Calls

3 calls:

50.0ms	b
26.0ms	a
10.0ms	c

Results

Error	Segments	Branch
20.8b	2	`a`
10.1b	6	`b`
21.9b	1	`c`

Compiler

Compiled 379 to 222 computations (41.4% saved)

bsearch449.0ms (2.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
162.0ms	0.0024148245359729634	17.226990646303765
63.0ms	3.861429000856628e-56	3.878327001280678e-55
67.0ms	2.3096978461689266e-82	6.515682861998313e-81
67.0ms	-2.255402854923685e-292	3.92221505255894e-305
90.0ms	-4.413121031472536e-85	-5.238857660693585e-96

Compiler

Compiled 2356 to 1639 computations (30.4% saved)

regimes85.0ms (0.4%)

Counts

17 → 6

Calls

Call 1

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

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

Calls

3 calls:

46.0ms	b
23.0ms	a
8.0ms	c

Results

Error	Segments	Branch
20.8b	2	`a`
10.1b	6	`b`
21.9b	1	`c`

Compiler

Compiled 354 to 208 computations (41.2% saved)

bsearch451.0ms (2.2%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
163.0ms	0.0024148245359729634	17.226990646303765
62.0ms	3.861429000856628e-56	3.878327001280678e-55
66.0ms	2.3096978461689266e-82	6.515682861998313e-81
69.0ms	-2.255402854923685e-292	3.92221505255894e-305
90.0ms	-4.413121031472536e-85	-5.238857660693585e-96

Compiler

Compiled 2314 to 1618 computations (30.1% saved)

regimes53.0ms (0.3%)

Counts

16 → 2

Calls

Call 1

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

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

Calls

3 calls:

16.0ms	b
8.0ms	c
8.0ms	a

Results

Error	Segments	Branch
21.9b	1	`a`
16.0b	2	`b`
21.9b	1	`c`

Compiler

Compiled 327 to 191 computations (41.6% saved)

bsearch91.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
91.0ms	-4.413121031472536e-85	-5.238857660693585e-96

Compiler

Compiled 537 to 361 computations (32.8% saved)

regimes44.0ms (0.2%)

Counts

15 → 1

Calls

Call 1

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

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

Calls

3 calls:

22.0ms	c
8.0ms	b
7.0ms	a

Results

Error	Segments	Branch
21.9b	1	`a`
21.9b	1	`b`
21.9b	1	`c`

Compiler

Compiled 304 to 177 computations (41.8% saved)

regimes87.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	c
4.0ms	a
4.0ms	b

Results

Error	Segments	Branch
22.1b	1	`a`
22.1b	1	`b`
22.1b	1	`c`

Compiler

Compiled 98 to 65 computations (33.7% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.6b remaining (-1.4%)

Threshold costs -0.6b (-1.4%)

Counts

3 → 1

Calls

Call 1

Inputs

(if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a))

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

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

Outputs
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a))

Calls

3 calls:

3.0ms	a
3.0ms	c
3.0ms	b

Results

Error	Segments	Branch
43.9b	1	`a`
43.9b	1	`b`
43.9b	1	`c`

Compiler

Compiled 62 to 41 computations (33.9% saved)

simplify230.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

27×	`*-commutative_binary64`
25×	`+-commutative_binary64`
21×	`sub-neg_binary64`
14×	`neg-sub0_binary64`
14×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	127	1865
1	163	1837
2	199	1837
3	235	1837
4	255	1837
5	263	1837
6	264	1837

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) -inf.0) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a)) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) -7260824748426675/72608247484266751113186645417475613287659189534150120071082610318161164900410369802010171606257634306142515810068016262229227795192622349013224149467890362587059123068723626657357734855190319183117148231560128769827526792328021488679545846696711820459572514914753120743347917422592) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) 0) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (fma.f64 b -2 (.f64 (/.f64 (.f64 c 2) b) a))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (<=.f64 (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c)))) (.f64 2 a))) 500000000000000023300903587410348784202542904974688430710490229009341390661543149786383856107097856160516988297992744932658630833003449045680311048746321720293715063683658110949743602947527619163229867885780121392177479680) (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) (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a)))))))
(if (<=.f64 b -320000000000000015672552504048166585463112641129838044398413559868853844349883121971594089359128468413796180698083288563857098533972027269472728383488) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a)) (if (<=.f64 b -4943656120871369/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (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 920000000000000031934787572135890815812281729854569768288256) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 4 a) c))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (fma.f64 -2 (.f64 a (/.f64 c b)) b))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))))))
(if (<=.f64 b -320000000000000015672552504048166585463112641129838044398413559868853844349883121971594089359128468413796180698083288563857098533972027269472728383488) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a)) (if (<=.f64 b -4943656120871369/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (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 920000000000000031934787572135890815812281729854569768288256) (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) 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 (neg.f64 b) (.f64 -1 b)) (*.f64 2 a))))))
(if (<=.f64 b -320000000000000015672552504048166585463112641129838044398413559868853844349883121971594089359128468413796180698083288563857098533972027269472728383488) (if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a)) (if (<=.f64 b -4943656120871369/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (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 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (<=.f64 b 1311331805890207/3450873173395281893717377931138512726225554486085193277581262111899648) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) b) (.f64 2 a))) (if (<=.f64 b 5764607523034235/2305843009213693952) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.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) (.f64 -1 b)) (*.f64 2 a))))))))
(if (<=.f64 b -3186502576307537/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -4943656120871369/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (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 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (<=.f64 b 1311331805890207/3450873173395281893717377931138512726225554486085193277581262111899648) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) b) (.f64 2 a))) (if (<=.f64 b 5764607523034235/2305843009213693952) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.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) (.f64 -1 b)) (.f64 2 a))))))))
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Outputs
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(if (<=.f64 b -3186502576307537/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -4943656120871369/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b) (/.f64 1/2 a))) (if (<=.f64 b 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (<=.f64 b 1311331805890207/3450873173395281893717377931138512726225554486085193277581262111899648) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 (neg.f64 b) b) (.f64 2 a))) (if (<=.f64 b 5764607523034235/2305843009213693952) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (+.f64 (neg.f64 b) (.f64 -1 b)) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (/.f64 (.f64 c -2) 2) b) (.f64 (.f64 b -2) (/.f64 1/2 a))))))))
(if (<=.f64 b -3186502576307537/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a))) (if (<=.f64 b -4943656120871369/22471164185778948846616314884862809170224712236778832159178760144716584475687620391588559665300942002640014234983924169707348721101802077811605928829934265547220986678108185659537777450155761764931635369010625721104768835292807860184239138817603404645418813835573287279993405742309964538104419541203028017152) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (.f64 c (.f64 a -4))) b))) (if (<=.f64 b 4015655627531311/17087896287367280659160173649356416916821636178853222159576332862577757806245124400183696695492608) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a))) (if (<=.f64 b 1311331805890207/3450873173395281893717377931138512726225554486085193277581262111899648) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) b)) (/.f64 (+.f64 b (neg.f64 b)) (.f64 2 a))) (if (<=.f64 b 5764607523034235/2305843009213693952) (if (>=.f64 b 0) (/.f64 (.f64 2 c) (-.f64 (neg.f64 b) (sqrt.f64 (.f64 c (.f64 a -4))))) (/.f64 (-.f64 (neg.f64 b) b) (.f64 2 a))) (if (>=.f64 b 0) (/.f64 (/.f64 (.f64 c -2) 2) b) (.f64 (.f64 b -2) (/.f64 1/2 a))))))))
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(if (<=.f64 b -3186502576307537/601226901190101306339707032778070279008174732520529886901066488712245510429339761526706943586500787976175353856) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a))) (if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (.f64 (/.f64 1/2 a) (-.f64 (sqrt.f64 (.f64 c (*.f64 a -4))) b))))
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (-.f64 (/.f64 c b) (/.f64 b a)))
(if (>=.f64 b 0) (.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (.f64 b -1))))
(if (>=.f64 b 0) (*.f64 c (/.f64 -2 (+.f64 b b))) (/.f64 1 (/.f64 a (neg.f64 b))))
(if (>=.f64 b 0) (/.f64 b a) (/.f64 (neg.f64 b) a))

Compiler

Compiled 1264 to 765 computations (39.5% saved)

soundness308.0ms (1.5%)

Algorithm

4×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	133	2386
1	422	2292
2	1481	2157
0	11	144
1	24	144
2	51	144
3	127	144
4	593	144
5	2904	144
6	7408	144
0	133	2386
1	422	2292
2	1481	2157
0	133	2386
1	422	2292
2	1481	2157

Stop Event

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

Compiler

Compiled 294 to 204 computations (30.6% saved)

end366.0ms (1.8%)

Compiler: Compiled 1234 to 681 computations (44.8% saved)

Iter	Nodes	Cost
0	10	336
1	18	336
2	31	336
3	42	336
4	53	336
5	69	336
6	84	336
7	101	336
8	121	336
9	155	336
10	157	336

Iter	Nodes	Cost
0	10	336
1	18	336
2	31	336
3	42	336
4	53	336
5	69	336
6	84	336
7	101	336
8	121	336
9	155	336
10	157	336

Iter	Nodes	Cost
0	10	336
1	18	336
2	31	336
3	42	336
4	53	336
5	69	336
6	84	336
7	101	336
8	121	336
9	155	336
10	157	336