Details

analyze466.0ms (3.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
0%	95.2%	4.8%	7
6.2%	88.2%	5.6%	8
10.1%	80.4%	9.5%	9
15.2%	72.2%	12.6%	10
22.2%	62.5%	15.3%	11
29.1%	52.5%	18.5%	12

Compiler

Compiled 17 to 11 computations (35.3% saved)

sample1.9s (13.3%)

Results

678.0ms	5419×	body	256	valid
523.0ms	1320×	body	2048	valid
212.0ms	712×	body	1024	valid
212.0ms	430×	body	4096	valid
203.0ms	1557×	body	256	invalid
83.0ms	375×	body	512	valid

preprocess131.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

1000×	`fma-def_binary64`
869×	`fma-neg_binary64`
582×	`div-sub_binary64`
515×	`associate-/l*_binary64`
440×	`times-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	80
1	82	80
2	167	80
3	390	80
4	694	80
5	1256	80
6	3283	80
7	5846	80
8	6771	80
9	7070	80
10	7143	80
11	7207	80
0	3	3

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)

Outputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) a)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 a))
(/.f64 (-.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 b_2 c)))) b_2)
(/.f64 (+.f64 a (sqrt.f64 (fma.f64 b_2 (neg.f64 c) (*.f64 a a)))) (neg.f64 b_2))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) c)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) c)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))))) c)
(/.f64 (+.f64 b_2 (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) (neg.f64 c))
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 a b_2)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 b_2 (neg.f64 a) (*.f64 c c)))) a)
(/.f64 (-.f64 (neg.f64 c) (sqrt.f64 (fma.f64 c c (*.f64 b_2 (neg.f64 a))))) a)
(/.f64 (+.f64 c (sqrt.f64 (-.f64 (.f64 c c) (.f64 b_2 a)))) (neg.f64 a))

Compiler

Compiled 19 to 13 computations (31.6% saved)

simplify125.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

518×	`div-sub_binary64`
428×	`fma-neg_binary64`
310×	`distribute-rgt-in_binary64`
289×	`distribute-lft-in_binary64`
260×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	20
1	27	20
2	57	20
3	126	20
4	216	20
5	394	20
6	664	20
7	1011	20
8	1224	20
9	1611	20
10	3156	20
11	5868	20
12	5966	20
13	5974	20
14	5982	20
15	5982	20
16	6040	20
17	6076	20
18	6106	20
19	6118	20

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

eval0.0ms (0%)

Compiler: Compiled 16 to 10 computations (37.5% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

36.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Compiler

Compiled 16 to 10 computations (37.5% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
✓	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	1.0b	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
✓	23.4b	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

Compiler

Compiled 53 to 10 computations (81.1% saved)

series26.0ms (0.2%)

Counts

4 → 96

Calls

36 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	-inf	(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
1.0ms	b_2	@	0	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
1.0ms	b_2	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	a	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
1.0ms	c	@	inf	(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))

rewrite164.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`fma-def_binary64`
645×	`log-prod_binary64`
352×	`fma-neg_binary64`
221×	`pow1/3_binary64`
218×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	59
1	262	55
2	4082	52

Stop Event

1×	node limit

Counts

4 → 381

Calls

Call 1

Inputs
(sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))
(-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))
(-.f64 (.f64 b_2 b_2) (.f64 a c))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (.f64 a c) 3))) (sqrt.f64 (fma.f64 (.f64 a c) (fma.f64 b_2 b_2 (.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (.f64 a (neg.f64 c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))) (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) 2) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) (-.f64 (.f64 b_2 b_2) (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (fma.f64 b_2 b_2 (.f64 b_2 b_2)) (.f64 a c)) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))))))))) (#(struct:change 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(/.f64 (pow.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (/.f64 1 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (/.f64 b_2 a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 (/.f64 b_2 a)) (cbrt.f64 (/.f64 b_2 a))) (cbrt.f64 (/.f64 b_2 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (/.f64 b_2 a)) (sqrt.f64 (/.f64 b_2 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 b_2 b_2)) 1) (/.f64 (cbrt.f64 b_2) a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) 1) (/.f64 (sqrt.f64 b_2) a) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 b_2 b_2)) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (cbrt.f64 b_2) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) (pow.f64 (cbrt.f64 a) 2)) (/.f64 (sqrt.f64 b_2) (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (cbrt.f64 (.f64 b_2 b_2)) (sqrt.f64 a)) (/.f64 (cbrt.f64 b_2) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (/.f64 (sqrt.f64 b_2) (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 -1 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)) (neg.f64 (/.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) a)))))))

simplify90.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
606×	`times-frac_binary64`
583×	`associate-r_binary64`
563×	`fma-neg_binary64`
550×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	151	2181
1	470	2117
2	1570	2070
3	7232	2034

Stop Event

1×	node limit

Counts

477 → 456

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(pow.f64 b_2 2)
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 c a))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(+.f64 (.f64 -1 (.f64 c a)) (pow.f64 b_2 2))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (*.f64 1/2 (/.f64 a (/.f64 b_2 c))) b_2)
(fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(-.f64 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3))) b_2)
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (neg.f64 b_2)))
(fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 c (.f64 c (.f64 a a))) (neg.f64 b_2)))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
(fma.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (-.f64 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (*.f64 c c)) (pow.f64 b_2 3))) b_2))
(fma.f64 1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (fma.f64 1/2 (/.f64 (*.f64 c a) b_2) (neg.f64 b_2))))
(fma.f64 1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 c (.f64 c (*.f64 a a))) (neg.f64 b_2))))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (.f64 -1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2))
(fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (.f64 c a) b_2) b_2))
(+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))))
(fma.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (fma.f64 -1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (+.f64 b_2 (*.f64 -1/2 (/.f64 c (/.f64 b_2 a))))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)))
(fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(fma.f64 -1/16 (/.f64 (pow.f64 (.f64 c a) 3) (pow.f64 b_2 5)) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 (*.f64 c a) b_2) b_2)))
(.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))
(neg.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(.f64 -1 (+.f64 b_2 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(-.f64 (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1))) b_2)
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) -1/2 (.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))) b_2)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) -1/2)) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (neg.f64 (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))))
(-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) -1/2 (fma.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) 1/8 (.f64 (sqrt.f64 (*.f64 c a)) (neg.f64 (sqrt.f64 -1))))) b_2)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) -1/2) (.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2))
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2) -1/2) (.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 1 (pow.f64 (.f64 c a) 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -2 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (*.f64 b_2 -2))
(fma.f64 1/2 (/.f64 (.f64 c a) b_2) (.f64 b_2 -2))
(+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(fma.f64 -2 b_2 (fma.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)) (.f64 1/2 (/.f64 c (/.f64 b_2 a)))))
(fma.f64 b_2 -2 (fma.f64 1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (.f64 (.f64 1/8 (.f64 a a)) (.f64 c c)) (pow.f64 b_2 3))))
(fma.f64 1/2 (/.f64 (.f64 c a) b_2) (fma.f64 b_2 -2 (.f64 (/.f64 1/8 (pow.f64 b_2 3)) (.f64 c (.f64 c (*.f64 a a))))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5))) (+.f64 (.f64 -2 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))))
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(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) a))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (.f64 a a))))))
(fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 1/16 (*.f64 a a))))))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (*.f64 -1/2 (/.f64 c b_2)))
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a)))))
(fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 (*.f64 a a) -1/16))))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2)) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 a a))) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 -1/2 (/.f64 c b_2)))))
(fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c b_2) (.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (*.f64 a a))))))
(fma.f64 -1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -1/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (.f64 -1/2 (+.f64 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (.f64 a (pow.f64 b_2 7))) (/.f64 c b_2)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) a))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (.f64 a a))))))
(fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 1/16 (*.f64 a a))))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 b_2 (/.f64 a -2))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(fma.f64 -2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c b_2)))
(fma.f64 1/2 (/.f64 c b_2) (/.f64 b_2 (/.f64 a -2)))
(fma.f64 1/2 (/.f64 c b_2) (*.f64 -2 (/.f64 b_2 a)))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (.f64 1/2 (/.f64 c b_2))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 (.f64 c c) 1/8) (/.f64 (pow.f64 b_2 3) a))))
(fma.f64 1/2 (/.f64 c b_2) (fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (*.f64 -2 (/.f64 b_2 a))))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b_2 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b_2 5))) (.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 a a))) (*.f64 1/2 (/.f64 c b_2)))))
(fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) a) (fma.f64 1/2 (/.f64 c b_2) (/.f64 (.f64 1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) (.f64 a a))))))
(fma.f64 1/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b_2 3))) (fma.f64 -2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c b_2) (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 1/16 (*.f64 a a))))))

eval245.0ms (1.7%)

Compiler: Compiled 11079 to 3311 computations (70.1% saved)

prune189.0ms (1.3%)

Pruning

26 alts after pruning (25 fresh and 1 done)

	Pruned	Kept	Total
New	431	25	456
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	431	26	457

Error

5.2b

Counts

457 → 26

Alt Table

Click to see full alt table

Status	Error	Program
▶	36.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
	36.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))) a)
	44.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	56.9b	(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
✓	36.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	38.9b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
	47.5b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
	46.6b	(/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
▶	32.8b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
▶	47.2b	(*.f64 -2 (/.f64 b_2 a))
	43.0b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	46.4b	(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	46.0b	(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
	42.3b	(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
	36.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
	37.3b	(*.f64 -1/2 (/.f64 c b_2))
	47.0b	(/.f64 (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
▶	50.8b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
	46.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)) a)
▶	57.0b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
	39.3b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
	46.4b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	36.9b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
	46.4b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	60.2b	(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)

Compiler

Compiled 828 to 558 computations (32.6% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))
✓	0.2b	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
✓	0.4b	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
✓	14.1b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 54 to 15 computations (72.2% saved)

series84.0ms (0.6%)

Counts

4 → 42

Calls

33 calls:

Time	Variable		Point	Expression
36.0ms	a	@	-inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
5.0ms	c	@	inf	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
5.0ms	c	@	inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
4.0ms	b_2	@	0	(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
4.0ms	a	@	inf	(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`prod-diff_binary64`
575×	`log-prod_binary64`
290×	`pow2_binary64`
230×	`fma-def_binary64`
204×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	276	42
2	3792	42

Stop Event

1×	node limit

Counts

4 → 155

Calls

Call 1

Inputs
(sqrt.f64 (*.f64 a (neg.f64 c)))
(+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))
(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sqrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a c)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 a c))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (sqrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 a c)) (cbrt.f64 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (.f64 a c))) (cbrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (sqrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 a c) 1/4) (pow.f64 (.f64 a c) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 c) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2)) (sqrt.f64 (cbrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/2) (sqrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (.f64 a c)) 2) 1/2) (pow.f64 (cbrt.f64 (.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a c) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a c)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a c) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (.f64 a c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a c) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a c) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a c)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 a c))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 a c))))))))
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((x /.f64 (.f64 (/.f64 1 a) (-.f64 (.f64 b_2 b_2) (fma.f64 a c (.f64 b_2 b_2)))) (-.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3) (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3) (/.f64 (pow.f64 a -2) a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3) (/.f64 (pow.f64 a -2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (/.f64 (pow.f64 a -2) a) (pow.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 b_2 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 b_2 (/.f64 1 a) (.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (/.f64 1 a) (.f64 b_2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) b_2 (.f64 (/.f64 1 a) (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 a) (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) (*.f64 (/.f64 1 a) b_2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (fma.f64 a c (.f64 b_2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (hypot.f64 (sqrt.f64 (.f64 a c)) b_2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 (sqrt.f64 (*.f64 a c)) b_2)))))))

simplify123.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

937×	`times-frac_binary64`
672×	`associate-/l*_binary64`
629×	`fma-def_binary64`
495×	`associate-/r*_binary64`
315×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	160	1621
1	488	1319
2	1867	1225
3	7279	1225

Stop Event

1×	node limit

Counts

197 → 223

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(*.f64 2 b_2)
(+.f64 (.f64 2 b_2) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 2 b_2) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 2 b_2)
(*.f64 2 b_2)
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (*.f64 -1 (/.f64 b_2 a)))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 -1 (/.f64 b_2 a))))
(+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (*.f64 -1 (/.f64 b_2 a)))))
(*.f64 -2 (/.f64 b_2 a))
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -2 (/.f64 b_2 a)) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (*.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))))
(+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
b_2
b_2

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) b_2)
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2)
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 b_2 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) b_2) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
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(+.f64 (/.f64 (.f64 -1/2 c) b_2) (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 a -1))))))
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c a))) (fma.f64 1/16 (.f64 (neg.f64 (*.f64 a a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7))) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6))) (pow.f64 b_2 5))))))
(+.f64 (fma.f64 -1/8 (/.f64 c (/.f64 (/.f64 (pow.f64 b_2 3) (.f64 a 1)) c)) (.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 a (.f64 a -1))))) (fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 1 (.f64 (pow.f64 a 4) (pow.f64 c 4))) (pow.f64 (.f64 -1/8 (.f64 c (.f64 c (.f64 a (.f64 a 1))))) 2)) (.f64 a (pow.f64 b_2 7))) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 1/16 (pow.f64 c 4)))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (.f64 c a))) (fma.f64 1/16 (.f64 (neg.f64 (*.f64 a a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 -1/2 (/.f64 b_2 c)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 b_2 a) -2)
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(*.f64 (/.f64 b_2 a) -2)
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c)))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (/.f64 (.f64 1/2 (.f64 b_2 b_2)) (sqrt.f64 -1))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(+.f64 (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)) (+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (*.f64 c a))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1)))) (.f64 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)) (*.f64 1/2 (sqrt.f64 (/.f64 (/.f64 1 a) c)))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 c 5)) (pow.f64 a 5))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 a) c)) (.f64 (/.f64 b_2 (sqrt.f64 -1)) b_2)) (.f64 1/8 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4)))))))
b_2
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))
(+.f64 b_2 (/.f64 (.f64 (.f64 -1/2 c) a) b_2))
(+.f64 b_2 (/.f64 (*.f64 c -1/2) (/.f64 b_2 a)))
(+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2))))
(+.f64 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1)))) (/.f64 (.f64 (*.f64 -1/2 c) a) b_2)))
(+.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 a)) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) b_2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (+.f64 b_2 (.f64 1/2 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2)))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) (+.f64 b_2 (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1)))) (/.f64 (.f64 (*.f64 -1/2 c) a) b_2))))
(+.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 a)) (fma.f64 1/16 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) b_2)))
(+.f64 (/.f64 (.f64 c -1/2) (/.f64 b_2 a)) (fma.f64 1/16 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))
(fma.f64 -1 b_2 (.f64 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2))
(-.f64 (/.f64 (.f64 (.f64 1/2 c) a) b_2) b_2)
(-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) b_2)
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (*.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2))))
(fma.f64 -1 b_2 (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 (.f64 c (.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2)))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1)))) 1/8 (/.f64 (.f64 (*.f64 1/2 c) a) b_2)) b_2)
(fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (-.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) b_2))
(-.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 3))) (pow.f64 b_2 5))) (+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2))) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)) b_2)))))
(fma.f64 -1 b_2 (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (pow.f64 a 3) (pow.f64 (sqrt.f64 -1) 6)))) (fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 (pow.f64 (sqrt.f64 -1) 4) (.f64 a a)))) (.f64 (/.f64 (.f64 c (*.f64 a (pow.f64 (sqrt.f64 -1) 2))) b_2) -1/2))))
(-.f64 (fma.f64 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (.f64 a 1)))) 1/8 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (.f64 -1 (pow.f64 a 3))) -1/16 (/.f64 (.f64 (*.f64 1/2 c) a) b_2))) b_2)
(fma.f64 (.f64 (neg.f64 (pow.f64 a 3)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (fma.f64 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b_2 3))) 1/8 (-.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) b_2)))
(fma.f64 (.f64 (pow.f64 (neg.f64 a) 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) -1/16 (-.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 (*.f64 c c) (pow.f64 b_2 3))) b_2)))
b_2
b_2

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 -2 (/.f64 b_2 a))

Compiler

Compiled 14 to 7 computations (50% saved)

series4.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(*.f64 -2 (/.f64 b_2 a))
1.0ms	b_2	@	inf	(*.f64 -2 (/.f64 b_2 a))
1.0ms	a	@	inf	(*.f64 -2 (/.f64 b_2 a))
1.0ms	a	@	0	(*.f64 -2 (/.f64 b_2 a))
0.0ms	b_2	@	-inf	(*.f64 -2 (/.f64 b_2 a))

rewrite42.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

653×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1610	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 -2 (/.f64 b_2 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
✓	1.4b	(-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
✓	4.1b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
✓	5.4b	(/.f64 (*.f64 c a) b_2)

Compiler

Compiled 69 to 30 computations (56.5% saved)

series23.0ms (0.2%)

Counts

4 → 81

Calls

36 calls:

Time	Variable		Point	Expression
7.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
1.0ms	b_2	@	0	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
1.0ms	c	@	0	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
1.0ms	a	@	0	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
1.0ms	c	@	inf	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)

rewrite127.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

749×	`log-prod_binary64`
527×	`fma-def_binary64`
323×	`fma-neg_binary64`
243×	`expm1-udef_binary64`
243×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	62
1	324	47
2	5029	41

Stop Event

1×	node limit

Counts

4 → 403

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2))))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))

Outputs
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(.f64 (/.f64 c b_2) a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (sqrt.f64 b_2) (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (.f64 (.f64 (/.f64 c b_2) a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (.f64 (sqrt.f64 b_2) -1) (.f64 (.f64 (/.f64 c b_2) a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 b_2) (.f64 (sqrt.f64 b_2) -1) (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (.f64 (/.f64 c b_2) a) 3) 1/8 (pow.f64 b_2 3)) (/.f64 1 (fma.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) (fma.f64 (.f64 (/.f64 c b_2) a) 1/2 b_2) (.f64 b_2 b_2))) (fma.f64 -1/2 (.f64 (/.f64 c b_2) a) (.f64 (.f64 (/.f64 c b_2) a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x 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a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (/.f64 c b_2) a) 1/2 b_2) 2))) (cbrt.f64 (fma.f64 (.f64 (/.f64 c b_2) a) 1/2 b_2)) (fma.f64 (.f64 (/.f64 c b_2) a) 1/2 (.f64 (.f64 (/.f64 c b_2) a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (.f64 (/.f64 c b_2) a) 1/2 b_2) 2))) (cbrt.f64 (fma.f64 (.f64 (/.f64 c b_2) a) 1/2 b_2)) (fma.f64 (neg.f64 (cbrt.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2))) (pow.f64 (cbrt.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2)) 2) (.f64 (.f64 (/.f64 c b_2) a) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) a)) 2)) (cbrt.f64 (.f64 (/.f64 c b_2) a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 1/2 (sqrt.f64 (.f64 (/.f64 c b_2) a))) (sqrt.f64 (.f64 (/.f64 c b_2) a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 (.f64 (/.f64 c b_2) a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 (.f64 (/.f64 c b_2) a) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 -1/2 (.f64 (/.f64 c b_2) a)))))))

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

436×	`times-frac_binary64`
340×	`div-sub_binary64`
324×	`distribute-rgt-neg-in_binary64`
312×	`fma-neg_binary64`
297×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	676
1	72	644
2	187	644
3	286	644
4	818	644
5	3228	644
6	6067	644
7	7832	644

Stop Event

1×	node limit

Counts

484 → 417

Calls

Call 1

Inputs
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1 (+.f64 (.f64 -1 b_2) b_2))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1 (+.f64 (.f64 -1 b_2) b_2))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(*.f64 -1 b_2)
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1 b_2)
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))

Outputs
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a))
(/.f64 (neg.f64 (*.f64 0 b_2)) a)
0
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (+.f64 (/.f64 b_2 a) (.f64 -1 (/.f64 b_2 a)))) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a))
(/.f64 (neg.f64 (*.f64 0 b_2)) a)
0
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 b_2) b_2) a)) (*.f64 -1/2 (/.f64 c b_2)))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1 (+.f64 (.f64 -1 b_2) b_2))
(/.f64 (neg.f64 (*.f64 0 b_2)) a)
0
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1 (+.f64 (.f64 -1 b_2) b_2))
(/.f64 (neg.f64 (*.f64 0 b_2)) a)
0
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(+.f64 (.f64 -1 (+.f64 (.f64 -1 b_2) b_2)) (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 a)))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 c b_2) a))
(.f64 -1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1/2)
(*.f64 (/.f64 a (/.f64 b_2 c)) 1/2)
(/.f64 1/2 (/.f64 (/.f64 b_2 c) a))
(*.f64 a (/.f64 1/2 (/.f64 b_2 c)))
(.f64 c (.f64 a (/.f64 1/2 b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1/2)
(*.f64 (/.f64 a (/.f64 b_2 c)) 1/2)
(/.f64 1/2 (/.f64 (/.f64 b_2 c) a))
(*.f64 a (/.f64 1/2 (/.f64 b_2 c)))
(.f64 c (.f64 a (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1/2)
(*.f64 (/.f64 a (/.f64 b_2 c)) 1/2)
(/.f64 1/2 (/.f64 (/.f64 b_2 c) a))
(*.f64 a (/.f64 1/2 (/.f64 b_2 c)))
(.f64 c (.f64 a (/.f64 1/2 b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1/2)
(*.f64 (/.f64 a (/.f64 b_2 c)) 1/2)
(/.f64 1/2 (/.f64 (/.f64 b_2 c) a))
(*.f64 a (/.f64 1/2 (/.f64 b_2 c)))
(.f64 c (.f64 a (/.f64 1/2 b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1/2)
(*.f64 (/.f64 a (/.f64 b_2 c)) 1/2)
(/.f64 1/2 (/.f64 (/.f64 b_2 c) a))
(*.f64 a (/.f64 1/2 (/.f64 b_2 c)))
(.f64 c (.f64 a (/.f64 1/2 b_2)))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
	0.6b	(-.f64 (.f64 b_2 b_2) (.f64 a c))
✓	13.9b	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
✓	24.1b	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)

Compiler

Compiled 73 to 26 computations (64.4% saved)

series42.0ms (0.3%)

Counts

3 → 108

Calls

27 calls:

Time	Variable		Point	Expression
5.0ms	b_2	@	0	(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
3.0ms	a	@	inf	(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)
2.0ms	a	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	a	@	inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
2.0ms	c	@	-inf	(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))

rewrite83.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`log-prod_binary64`
613×	`fma-def_binary64`
342×	`pow2_binary64`
291×	`fma-neg_binary64`
232×	`expm1-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	44
1	306	40
2	4065	38

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs
(pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4)
(-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2))
(pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (sqrt.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/4) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1/4) (pow.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 1/4 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 b_2 (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 2) (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) (sqrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (/.f64 1 (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (/.f64 1 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2)) (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 b_2 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 b_2 3) (pow.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 3)) (fma.f64 b_2 b_2 (-.f64 (pow.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 2) (*.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 b_2 b_2) (pow.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 2)) (-.f64 b_2 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule 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(*.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (*.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8) 3) (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4) (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) (cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 4) (pow.f64 (*.f64 a c) 2))) (hypot.f64 b_2 (sqrt.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (pow.f64 b_2 6) (pow.f64 (*.f64 a c) 3))) (sqrt.f64 (fma.f64 (*.f64 a c) (fma.f64 b_2 b_2 (*.f64 a c)) (pow.f64 b_2 4))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 a c))) (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))))

simplify110.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

791×	`fma-def_binary64`
619×	`associate-r_binary64`
478×	`times-frac_binary64`
460×	`associate-l_binary64`
370×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	590	7850
1	2199	6753

Stop Event

1×	node limit

Counts

274 → 355

Calls

Call 1

Inputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b_2))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11)))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2))
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))))
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)))))
(+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2))))))
(exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))
(+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (*.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))
(+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))))
(+.f64 (/.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))) (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 c 3))))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (pow.f64 a 3)) (+.f64 (/.f64 (.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 c 2))))) (pow.f64 a 2)) (+.f64 (.f64 -1/4 (/.f64 (.f64 (pow.f64 b_2 2) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c)))))) (.f64 c a))) (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))))))
(exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a))))))
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b_2
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(*.f64 -1 b_2)
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b_2
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(+.f64 (.f64 (pow.f64 c 3) (+.f64 (.f64 b_2 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6)))))) (+.f64 (.f64 (+.f64 (.f64 -1/384 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))) (.f64 1/32 (/.f64 (pow.f64 a 3) (pow.f64 b_2 6))))) b_2) (.f64 -1/2 (/.f64 (.f64 a (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))))) b_2))))) (+.f64 b_2 (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 2 (.f64 b_2 (+.f64 (.f64 -1/8 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 a 2) (pow.f64 b_2 4)))))) (.f64 1/16 (/.f64 (pow.f64 a 2) (pow.f64 b_2 3))))) (.f64 -1/2 (/.f64 (*.f64 c a) b_2)))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
(+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (.f64 c a))))))
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 b_2 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))

Outputs
(pow.f64 (.f64 -1 (.f64 c a)) 1/4)
(pow.f64 (*.f64 (neg.f64 c) a) 1/4)
(pow.f64 (*.f64 a (neg.f64 c)) 1/4)
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (.f64 c a)) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4)))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (*.f64 a (neg.f64 c)) 1/4)))
(+.f64 (.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (pow.f64 b_2 2))) (+.f64 (.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6))) (+.f64 (.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4))) (pow.f64 (.f64 -1 (*.f64 c a)) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 11) (pow.f64 a 11))) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 7) (pow.f64 a 7))) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 (neg.f64 c) a) 1/4))))
(fma.f64 -1/4 (.f64 (pow.f64 (/.f64 -1 (.f64 (pow.f64 c 3) (pow.f64 a 3))) 1/4) (.f64 b_2 b_2)) (fma.f64 -7/128 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 11)) (pow.f64 a 11)) 1/4) (pow.f64 b_2 6)) (fma.f64 -3/32 (.f64 (pow.f64 (/.f64 (/.f64 -1 (pow.f64 c 7)) (pow.f64 a 7)) 1/4) (pow.f64 b_2 4)) (pow.f64 (.f64 a (neg.f64 c)) 1/4))))
(sqrt.f64 b_2)
(+.f64 (.f64 -1/4 (.f64 (*.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 (.f64 (.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (*.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2)))
(+.f64 (.f64 -1/4 (.f64 (.f64 c a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (+.f64 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (+.f64 (sqrt.f64 b_2) (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (fma.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -5/96)) (+.f64 (sqrt.f64 b_2) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (fma.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))) (sqrt.f64 b_2))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 b_2))
(*.f64 (sqrt.f64 b_2) (sqrt.f64 -1))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c (*.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1))))))
(fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (sqrt.f64 b_2) (sqrt.f64 -1)))
(+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))
(fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 (sqrt.f64 b_2) (sqrt.f64 -1) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(+.f64 (.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 1/32 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1/12 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11)))) (+.f64 (.f64 (sqrt.f64 -1) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c (.f64 (sqrt.f64 -1) a)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 (.f64 (+.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 1/32 (*.f64 (pow.f64 c 2) (pow.f64 a 2)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(fma.f64 (.f64 (fma.f64 -1/384 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -5/96)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 b_2) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) -3/32) (*.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7))))))))
(+.f64 (.f64 (sqrt.f64 -1) (fma.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 11))) (.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -7/128) (sqrt.f64 b_2))) (fma.f64 -1/4 (.f64 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 c (.f64 a (sqrt.f64 -1)))) (.f64 (.f64 (.f64 a a) (.f64 (.f64 c c) -3/32)) (.f64 (sqrt.f64 -1) (sqrt.f64 (/.f64 1 (pow.f64 b_2 7)))))))
(*.f64 (pow.f64 1 1/4) (sqrt.f64 b_2))
(sqrt.f64 b_2)
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (.f64 -1/4 (.f64 (.f64 c a) (*.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))))
(fma.f64 -1/4 (.f64 c (.f64 a (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (sqrt.f64 b_2))
(fma.f64 (.f64 (.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (sqrt.f64 b_2))
(+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2)))))
(fma.f64 1 (sqrt.f64 b_2) (fma.f64 -1/4 (.f64 (.f64 c a) (.f64 1 (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))))) (.f64 1 (.f64 (sqrt.f64 b_2) (.f64 (.f64 a a) (.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 4)) -3/32))))))
(+.f64 (sqrt.f64 b_2) (fma.f64 (.f64 (.f64 -1/4 c) a) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3))) (.f64 (.f64 a a) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 4)) (*.f64 -3/32 (sqrt.f64 b_2))))))
(+.f64 (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (+.f64 (.f64 1/32 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6))) (.f64 -1/384 (/.f64 (pow.f64 c 3) (pow.f64 b_2 6)))))) (sqrt.f64 b_2))) (+.f64 (.f64 (pow.f64 1 1/4) (sqrt.f64 b_2)) (+.f64 (.f64 -1/4 (.f64 (.f64 c a) (.f64 (pow.f64 1 1/4) (sqrt.f64 (/.f64 1 (pow.f64 b_2 3)))))) (.f64 (pow.f64 1 1/4) (.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))) (.f64 1/32 (/.f64 (pow.f64 c 2) (pow.f64 b_2 4))))) (sqrt.f64 b_2))))))
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
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(*.f64 -1 b_2)
(neg.f64 b_2)
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(fma.f64 -1 b_2 (*.f64 1/2 (/.f64 c (/.f64 b_2 a))))
(-.f64 (.f64 1/2 (.f64 (/.f64 c b_2) a)) b_2)
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(fma.f64 -1 b_2 (fma.f64 1/2 (/.f64 c (/.f64 b_2 a)) (.f64 1/8 (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 3)))))
(-.f64 (fma.f64 1/2 (.f64 (/.f64 c b_2) a) (/.f64 (.f64 (.f64 (.f64 1/8 c) c) (*.f64 a a)) (pow.f64 b_2 3))) b_2)
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
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(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (fma.f64 -1 (neg.f64 (log.f64 a)) (log.f64 (neg.f64 c)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 c)) (log.f64 a))) 2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 c))) (*.f64 -1 (log.f64 (/.f64 -1 a)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 c)) (neg.f64 (log.f64 (/.f64 -1 a))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 c) (log.f64 (/.f64 -1 a)))) 2)
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b_2
(+.f64 b_2 (.f64 -1/2 (/.f64 (.f64 c a) b_2)))
(+.f64 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) -1/2))
(fma.f64 (*.f64 (/.f64 c b_2) a) -1/2 b_2)
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(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2)
(pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))
(+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))
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(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 b_2 2))) (.f64 (pow.f64 c 3) a))) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))))) (pow.f64 c 2))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 4)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 -1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 -1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)))))) (pow.f64 c 3))) (.f64 -1/2 (/.f64 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2) (pow.f64 b_2 2)) (*.f64 c a))))))))
(fma.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 a (pow.f64 c 3)) (.f64 (.f64 b_2 b_2) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32)))) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 c c) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32))) (fma.f64 1/16 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 (.f64 c c) (.f64 a a)) (pow.f64 b_2 4))) (+.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (fma.f64 2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (pow.f64 c 3) (fma.f64 1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -11/128)))) (.f64 -1/2 (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (neg.f64 a)) (neg.f64 (neg.f64 (log.f64 c))))) 2) (/.f64 (.f64 c a) (*.f64 b_2 b_2)))))))))
(fma.f64 -1/2 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) a) (/.f64 (.f64 (.f64 b_2 b_2) (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a))) (pow.f64 c 3))) (fma.f64 2 (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) c) (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) c)) (+.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (.f64 a a))) (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) (fma.f64 2 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) (/.f64 (pow.f64 c 3) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) -7/128))) (.f64 (/.f64 (pow.f64 (exp.f64 1/4) (.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c)))) c) (.f64 (/.f64 b_2 (/.f64 a b_2)) -1/2))))))
(pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (*.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)
(+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))
(fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))
(fma.f64 -1/2 (*.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))
(+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))))
(fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 2 (.f64 (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2) (+.f64 (.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (+.f64 (.f64 1/12 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))) (.f64 1/384 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3))))))) (.f64 1/2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2))) a))) (pow.f64 c 3))) (+.f64 (.f64 1/16 (/.f64 (.f64 (pow.f64 b_2 4) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (+.f64 (.f64 2 (/.f64 (.f64 (+.f64 (.f64 1/32 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (pow.f64 a 2)))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (pow.f64 c 2))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 b_2 2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)) (.f64 c a))) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 (.f64 -1 a))) (*.f64 -1 (log.f64 (/.f64 -1 c)))))) 2)))))
(fma.f64 -1 (/.f64 (fma.f64 2 (.f64 (fma.f64 -1/32 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 11/128)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) (.f64 1/2 (/.f64 (.f64 (.f64 (.f64 b_2 b_2) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)) a))) (pow.f64 c 3)) (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) (.f64 a a))) (fma.f64 2 (/.f64 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 a a)) -3/32) (/.f64 (.f64 c c) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2))) (fma.f64 -1/2 (.f64 (/.f64 (.f64 b_2 b_2) c) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (+.f64 (log.f64 (.f64 1 a)) (neg.f64 (log.f64 (/.f64 -1 c))))) 2)))))
(-.f64 (fma.f64 1/16 (.f64 (/.f64 (pow.f64 b_2 4) (.f64 c c)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) (.f64 a a))) (fma.f64 2 (.f64 (/.f64 (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a)) (.f64 c c)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (fma.f64 -1/2 (.f64 (/.f64 b_2 (/.f64 c b_2)) (/.f64 (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2) a)) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)))) (/.f64 (fma.f64 2 (.f64 (.f64 (/.f64 (pow.f64 b_2 6) (pow.f64 a 3)) 7/128) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2)) (/.f64 (.f64 1/2 (.f64 (.f64 (.f64 b_2 b_2) (/.f64 (.f64 (pow.f64 b_2 4) -3/32) (.f64 a a))) (pow.f64 (pow.f64 (exp.f64 1/4) (-.f64 (log.f64 a) (log.f64 (/.f64 -1 c)))) 2))) a)) (pow.f64 c 3)))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)
✓	0.8b	(expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
✓	1.5b	(log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
	14.1b	(sqrt.f64 (*.f64 a (neg.f64 c)))

Compiler

Compiled 69 to 11 computations (84.1% saved)

series54.0ms (0.4%)

Counts

3 → 36

Calls

27 calls:

Time	Variable		Point	Expression
8.0ms	b_2	@	0	(log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
5.0ms	c	@	inf	(log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
5.0ms	c	@	-inf	(log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
5.0ms	a	@	-inf	(log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))
4.0ms	a	@	inf	(log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))

rewrite180.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

905×	`prod-diff_binary64`
592×	`log-prod_binary64`
258×	`fma-def_binary64`
204×	`expm1-udef_binary64`
204×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	53
1	246	47
2	3476	47

Stop Event

1×	node limit

Counts

3 → 396

Calls

Call 1

Inputs

(log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a))

(expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))

(/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1)) (cbrt.f64 (+.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1)))) (log.f64 (cbrt.f64 (+.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1))) (log.f64 (sqrt.f64 (+.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log1p.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 2) (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 2))) (log.f64 (-.f64 1 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2)) (cbrt.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) (sqrt.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a))) 1))))))

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simplify78.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

750×	`times-frac_binary64`
640×	`fma-def_binary64`
629×	`associate-/r*_binary64`
428×	`associate-/l*_binary64`
416×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1907
1	558	1478
2	2260	1425

Stop Event

1×	node limit

Counts

432 → 266

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 (.f64 a (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))) (log.f64 (+.f64 1 (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))))
(+.f64 (/.f64 b_2 (.f64 a (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))) (.f64 1/2 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (.f64 (sqrt.f64 -1) (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))))) (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))) (pow.f64 b_2 2)))))
(+.f64 (/.f64 b_2 (.f64 a (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 5)))) (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))) (.f64 1/2 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (.f64 (sqrt.f64 -1) (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))))) (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))) (pow.f64 b_2 2))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 b_2 2))))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6))) (.f64 3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 b_2 2)))))
(+.f64 (.f64 1/24 (/.f64 (+.f64 (.f64 3/2 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) a))) (.f64 -3/8 (.f64 (pow.f64 c 4) (pow.f64 (sqrt.f64 -1) 8)))) (pow.f64 b_2 4))) (+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -1/4 (.f64 (pow.f64 c 3) (pow.f64 (sqrt.f64 -1) 6))) (.f64 3/4 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)))) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 b_2 2))))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (log.f64 (neg.f64 (.f64 2 (/.f64 1 a)))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 a))))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (log.f64 (neg.f64 (.f64 2 (/.f64 1 a)))))))
(+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 1/2 (/.f64 (+.f64 (.f64 -1/4 (pow.f64 a 2)) (.f64 1/2 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) a)))) (pow.f64 b_2 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (.f64 3/4 (.f64 c (.f64 (pow.f64 (sqrt.f64 -1) 2) (pow.f64 a 2)))) (.f64 -1/4 (pow.f64 a 3))) (pow.f64 b_2 3))) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 a))))))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 2 (/.f64 b_2 a))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(*.f64 2 (/.f64 b_2 a))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))

Outputs
(log.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(log1p.f64 (neg.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))
(log1p.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1))))
(+.f64 (/.f64 b_2 (.f64 a (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))) (log.f64 (+.f64 1 (.f64 -1 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))))
(+.f64 (log1p.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) (/.f64 (/.f64 b_2 a) (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))))
(+.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))) (/.f64 (/.f64 b_2 a) (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))) (/.f64 b_2 (fma.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (neg.f64 a) a)))
(+.f64 (/.f64 b_2 (.f64 a (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))) (.f64 1/2 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (.f64 (sqrt.f64 -1) (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))))) (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))) (pow.f64 b_2 2)))))
(+.f64 (/.f64 (/.f64 b_2 a) (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))) (+.f64 (log1p.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) (.f64 1/2 (.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (.f64 (sqrt.f64 -1) (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))))) (/.f64 1 (.f64 (.f64 a a) (pow.f64 (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))) (.f64 b_2 b_2)))))
(+.f64 (/.f64 (/.f64 b_2 a) (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) (fma.f64 1/2 (.f64 (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (+.f64 (sqrt.f64 -1) (.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) -1))) (/.f64 -1 (.f64 (.f64 a a) (pow.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) 2)))) (.f64 b_2 b_2)) (log1p.f64 (.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1))))))
(fma.f64 (-.f64 (/.f64 -1 (.f64 a (.f64 a (pow.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) 2)))) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 b_2 b_2)) (+.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))) (/.f64 b_2 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (neg.f64 a) a))))
(+.f64 (/.f64 b_2 (.f64 a (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))) (+.f64 (.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (.f64 2 (/.f64 1 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 3)))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 5)))) (/.f64 1 (.f64 (sqrt.f64 -1) (pow.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))))))) (+.f64 (log.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))) (.f64 1/2 (.f64 (-.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (.f64 (sqrt.f64 -1) (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))))) (/.f64 1 (.f64 (pow.f64 a 2) (pow.f64 (+.f64 1 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))) (pow.f64 b_2 2))))))
(+.f64 (/.f64 (/.f64 b_2 a) (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))))) (fma.f64 1/6 (.f64 (pow.f64 b_2 3) (+.f64 (/.f64 2 (.f64 (pow.f64 a 3) (pow.f64 (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 3))) (.f64 3 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 5)))) (/.f64 (/.f64 1 (sqrt.f64 -1)) (pow.f64 (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))))) (+.f64 (log1p.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) (.f64 1/2 (.f64 (-.f64 (neg.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 1 (.f64 (sqrt.f64 -1) (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))))) (/.f64 1 (.f64 (.f64 a a) (pow.f64 (+.f64 1 (neg.f64 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) 2)))) (*.f64 b_2 b_2))))))
(+.f64 (/.f64 (/.f64 b_2 a) (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))) (fma.f64 1/6 (.f64 (pow.f64 b_2 3) (fma.f64 3 (/.f64 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 5))) (sqrt.f64 -1)) (pow.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) 2)) (/.f64 2 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) 3))))) (fma.f64 1/2 (.f64 (fma.f64 -1 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (+.f64 (sqrt.f64 -1) (.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) -1))) (/.f64 -1 (.f64 (.f64 a a) (pow.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) 2)))) (.f64 b_2 b_2)) (log1p.f64 (.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))))))
(fma.f64 (fma.f64 3 (/.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 5)))) (.f64 (sqrt.f64 -1) (pow.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) 2))) (/.f64 2 (.f64 (pow.f64 a 3) (pow.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) 3)))) (.f64 1/6 (pow.f64 b_2 3)) (fma.f64 (-.f64 (/.f64 -1 (.f64 a (.f64 a (pow.f64 (-.f64 1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) 2)))) (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) -1 (sqrt.f64 -1)))) (.f64 1/2 (.f64 b_2 b_2)) (+.f64 (log1p.f64 (.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 -1)))) (/.f64 b_2 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (neg.f64 a) a)))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(/.f64 (*.f64 c 1/2) b_2)
(/.f64 c (/.f64 b_2 1/2))
(+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 (sqrt.f64 -1) 4)) (pow.f64 b_2 2))))
(fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 -1) 4)))))
(+.f64 (/.f64 (.f64 c 1/2) b_2) (/.f64 (.f64 -1/8 (.f64 c c)) (.f64 b_2 b_2)))
(fma.f64 -1/8 (*.f64 (/.f64 c b_2) (/.f64 c b_2)) (/.f64 c (/.f64 b_2 1/2)))
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(-.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (.f64 -1/2 (.f64 b_2 (/.f64 b_2 (sqrt.f64 -1)))) (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))
(+.f64 (/.f64 b_2 a) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1)))) (+.f64 (.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 -1 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)) (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (*.f64 (pow.f64 a 5) (pow.f64 c 3)))) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3)))))))
(+.f64 (/.f64 b_2 a) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 (/.f64 1 c) (pow.f64 a 3))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 a 5) (pow.f64 c 3)))) (.f64 (/.f64 (pow.f64 b_2 4) (.f64 -1 (sqrt.f64 -1))) 1/8)) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1)))))
(+.f64 (-.f64 (/.f64 b_2 a) (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -1))) (fma.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c)) (.f64 -1/2 (.f64 b_2 (/.f64 b_2 (sqrt.f64 -1)))) (.f64 -1/8 (/.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 5)) (pow.f64 c 3))) (/.f64 (sqrt.f64 -1) (pow.f64 b_2 4))))))
(.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2))
(*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))))
(/.f64 (*.f64 c 1/2) b_2)
(/.f64 c (/.f64 b_2 1/2))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 -1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (*.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 c 1/2) b_2))
(fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (/.f64 c (/.f64 b_2 1/2)))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5)))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 -1 (.f64 a a)))) (/.f64 (.f64 c 1/2) b_2)))
(fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/16 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 c (/.f64 b_2 1/2))))
(+.f64 (.f64 1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 a 2)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7)))) (+.f64 (.f64 -1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 1/2 (/.f64 (+.f64 (pow.f64 (.f64 -1/8 (.f64 (.f64 c c) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 4)))) 2) (.f64 1/16 (.f64 (pow.f64 c 4) (.f64 (pow.f64 (sqrt.f64 -1) 8) (pow.f64 a 4))))) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (.f64 a a) (pow.f64 (sqrt.f64 -1) 6))))))))
(fma.f64 1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (fma.f64 1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 (.f64 -1/8 (.f64 (.f64 (.f64 a c) c) a)) 2)) (.f64 a (pow.f64 b_2 7))) (fma.f64 -1/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 -1 (.f64 a a)))) (/.f64 (.f64 c 1/2) b_2))))
(fma.f64 (/.f64 1/2 (pow.f64 b_2 7)) (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 (pow.f64 c 4) 1/64) (.f64 (pow.f64 c 4) 1/16))) a) (fma.f64 1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 -1/16 (.f64 (*.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 c (/.f64 b_2 1/2)))))
(*.f64 2 (/.f64 b_2 a))
(/.f64 (*.f64 2 b_2) a)
(*.f64 b_2 (/.f64 2 a))
(+.f64 (.f64 2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 (*.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)))
(fma.f64 2 (/.f64 b_2 a) (*.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2)))))
(fma.f64 2 (/.f64 b_2 a) (/.f64 (*.f64 -1/2 c) b_2))
(fma.f64 2 (/.f64 b_2 a) (/.f64 -1/2 (/.f64 b_2 c)))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3)))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a (pow.f64 (sqrt.f64 -1) 4)))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) a)) (/.f64 (.f64 -1/2 c) b_2)))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (/.f64 -1/2 (/.f64 b_2 c))))
(+.f64 (.f64 2 (/.f64 b_2 a)) (+.f64 (.f64 1/2 (/.f64 (.f64 c (pow.f64 (sqrt.f64 -1) 2)) b_2)) (+.f64 (.f64 -1/8 (/.f64 (.f64 (pow.f64 c 2) (.f64 (pow.f64 (sqrt.f64 -1) 4) a)) (pow.f64 b_2 3))) (.f64 1/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 a 2))) (pow.f64 b_2 5))))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 1/2 (/.f64 c (/.f64 b_2 (pow.f64 (sqrt.f64 -1) 2))) (fma.f64 -1/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 (*.f64 a a) (pow.f64 (sqrt.f64 -1) 6)))) 1/16))))
(+.f64 (fma.f64 2 (/.f64 b_2 a) (/.f64 (.f64 -1/2 c) b_2)) (fma.f64 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (.f64 -1 (.f64 a a)))) 1/16 (.f64 -1/8 (/.f64 (*.f64 c c) (/.f64 (pow.f64 b_2 3) a)))))
(fma.f64 2 (/.f64 b_2 a) (fma.f64 -1/8 (.f64 (/.f64 a (pow.f64 b_2 3)) (.f64 c c)) (fma.f64 (.f64 (.f64 a (neg.f64 a)) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (/.f64 -1/2 (/.f64 b_2 c)))))

eval850.0ms (5.9%)

Compiler: Compiled 47976 to 20600 computations (57.1% saved)

prune473.0ms (3.3%)

Pruning

40 alts after pruning (38 fresh and 2 done)

	Pruned	Kept	Total
New	1468	28	1496
Fresh	10	10	20
Picked	1	0	1
Done	3	2	5
Total	1482	40	1522

Error

0.8b

Counts

1522 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	45.3b	(.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (/.f64 1 (neg.f64 a)))
	47.3b	(/.f64 -2 (/.f64 a b_2))
	57.4b	(expm1.f64 (/.f64 c (/.f64 b_2 1/2)))
	44.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	49.6b	(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
	44.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	60.1b	(/.f64 (-.f64 (neg.f64 b_2) (.f64 c (.f64 a (/.f64 1/2 b_2)))) a)
✓	36.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	47.0b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))) a)
	63.7b	(expm1.f64 (-.f64 (fma.f64 1/2 (/.f64 a b_2) (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2))))
	38.9b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
	57.5b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) a)))))) a)
	47.5b	(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
▶	59.6b	(/.f64 (neg.f64 b_2) a)
	39.3b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
▶	57.3b	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
✓	47.2b	(*.f64 -2 (/.f64 b_2 a))
	47.5b	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
	54.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
	63.7b	(expm1.f64 (+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 a)))))))
	46.4b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
▶	60.0b	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
	40.1b	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
	46.4b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	37.5b	(/.f64 -1/2 (/.f64 b_2 c))
	43.0b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	56.9b	0
	63.6b	(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 3) 1/3)
	51.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
▶	47.6b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	57.3b	(/.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) a)
	51.8b	(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
	47.3b	(*.f64 (+.f64 b_2 b_2) (/.f64 1 (neg.f64 a)))
	37.3b	(/.f64 (*.f64 -1/2 c) b_2)
	62.3b	(*.f64 2 (/.f64 b_2 a))
	56.8b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
	46.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)) a)
▶	36.4b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))) a)
	56.5b	(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))

Compiler

Compiled 1150 to 828 computations (28% saved)

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 c) 2)
✓	0.6b	(cbrt.f64 c)
✓	1.0b	(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2))))
✓	23.4b	(sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))

Compiler

Compiled 90 to 35 computations (61.1% saved)

series34.0ms (0.2%)

Counts

4 → 38

Calls

24 calls:

Time	Variable		Point	Expression
15.0ms	b_2	@	-inf	(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2))))
2.0ms	b_2	@	0	(sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))
2.0ms	c	@	-inf	(sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))
1.0ms	a	@	0	(sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))
1.0ms	c	@	0	(sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))

rewrite110.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

973×	`prod-diff_binary64`
573×	`log-prod_binary64`
362×	`fma-def_binary64`
213×	`expm1-udef_binary64`
213×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	58
1	297	36
2	3848	30

Stop Event

1×	node limit

Counts

4 → 231

Calls

Call 1

Inputs
(sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))
(-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2))))
(cbrt.f64 c)
(pow.f64 (cbrt.f64 c) 2)

Outputs
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1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 1/4)) (fma.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 1/4)) (fma.f64 (neg.f64 (cbrt.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c))))) (cbrt.f64 (fma.f64 a c (.f64 b_2 b_2))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 1/4)) (-.f64 (sqrt.f64 b_2) (pow.f64 (fma.f64 a c (.f64 b_2 b_2)) 1/4)) (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2) (.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (.f64 a c)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -1 (sqrt.f64 b_2)) (sqrt.f64 b_2) (.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (cbrt.f64 c))) (cbrt.f64 (exp.f64 (cbrt.f64 c))))) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 c)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 c)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 c))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 c)) (cbrt.f64 (pow.f64 (cbrt.f64 c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c 1/6) (pow.f64 c 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (.f64 c (cbrt.f64 c)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 1/3) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 c) 1/3) (pow.f64 (sqrt.f64 c) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 c 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 c) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 c) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 c)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 c 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 c) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 c)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 c) 2))) (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 c) 2))))) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 c) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 c) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 c) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 c) (cbrt.f64 c))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 c) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 c) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 (.f64 c (cbrt.f64 c))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (cbrt.f64 c) 2)) (.f64 (cbrt.f64 (cbrt.f64 c)) (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 c (cbrt.f64 c))) (cbrt.f64 (pow.f64 (cbrt.f64 c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c 1/6) (.f64 (pow.f64 c 1/6) (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 c) (pow.f64 c 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 c) (cbrt.f64 (pow.f64 (cbrt.f64 c) 2))) (cbrt.f64 (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 c (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 c) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 c) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 c)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 c) 2)))))))

simplify67.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

504×	`associate-l_binary64`
497×	`associate-r_binary64`
497×	`unswap-sqr_binary64`
493×	`times-frac_binary64`
472×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1203
1	384	1020
2	1234	992
3	5735	982

Stop Event

1×	node limit

Counts

269 → 278

Calls

Call 1

Inputs
b_2
(+.f64 (.f64 -1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3))) b_2)
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) b_2))
(+.f64 (.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) b_2)))
b_2
b_2
b_2
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 1 1/6)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 1 1/6))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 1 1/6)))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 1 1/6))))))
b_2
(+.f64 (.f64 -1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3))) b_2)
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) b_2))
(+.f64 (.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) b_2)))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))
(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))))
(.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))
(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))))
(.f64 -1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))
(+.f64 (.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (.f64 -1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 1 1/3))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 1 1/3))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))))
(*.f64 -2 b_2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))
(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))))
(*.f64 -2 b_2)
(*.f64 -2 b_2)
(*.f64 -2 b_2)

Outputs
b_2
(+.f64 (.f64 -1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3))) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1) b_2)
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) b_2)
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) b_2))
(fma.f64 -1/2 (.f64 (/.f64 c (/.f64 b_2 a)) 1) (fma.f64 -1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) b_2))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) b_2))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/8 (.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) b_2))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/8 (/.f64 (.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 3) c)) b_2))
(+.f64 (.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) b_2)))
(fma.f64 -1/16 (.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)))) (fma.f64 -1/2 (.f64 (/.f64 c (/.f64 b_2 a)) 1) (fma.f64 -1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) b_2)))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) b_2)))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (.f64 a (.f64 c a)) (/.f64 (pow.f64 b_2 3) c)) b_2)))
b_2
b_2
b_2
(.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 1 1/6)))
(.f64 (.f64 (sqrt.f64 (*.f64 c a)) 1) (sqrt.f64 -1))
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 1 1/6))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))) (.f64 (.f64 (sqrt.f64 (*.f64 c a)) 1) (sqrt.f64 -1)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) 1/2)))
(fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 -1)))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 1 1/6)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (.f64 1 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 (sqrt.f64 (.f64 c a)) 1) (sqrt.f64 -1))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (.f64 -1 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 1/8 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))))
(+.f64 (.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))))) (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (sqrt.f64 -1) (pow.f64 1 1/6))))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (.f64 1 (pow.f64 b_2 6)) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (.f64 1 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 -1) 3))) (.f64 (.f64 (sqrt.f64 (*.f64 c a)) 1) (sqrt.f64 -1)))))
(fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) (.f64 -1 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -1) (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (*.f64 1/8 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1)))))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))) (fma.f64 1/16 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 5) (pow.f64 a 5)))) (/.f64 (pow.f64 b_2 6) (pow.f64 (sqrt.f64 -1) 5))) (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 1/8 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1)))))
b_2
(+.f64 (.f64 -1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3))) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1) b_2)
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) b_2)
(fma.f64 -1/2 (*.f64 (/.f64 a b_2) c) b_2)
(+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) b_2))
(fma.f64 -1/2 (.f64 (/.f64 c (/.f64 b_2 a)) 1) (fma.f64 -1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) b_2))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a a)) b_2))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/8 (.f64 (*.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) b_2))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/8 (/.f64 (.f64 a (*.f64 c a)) (/.f64 (pow.f64 b_2 3) c)) b_2))
(+.f64 (.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (*.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) b_2)))
(fma.f64 -1/16 (.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)))) (fma.f64 -1/2 (.f64 (/.f64 c (/.f64 b_2 a)) 1) (fma.f64 -1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (*.f64 a a)))) b_2)))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (fma.f64 -1/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) b_2)))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) b_2)))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (fma.f64 -1/8 (/.f64 (.f64 a (.f64 c a)) (/.f64 (pow.f64 b_2 3) c)) b_2)))
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))
(fma.f64 -1 b_2 (.f64 (.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2))
(-.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) 1/2) b_2)
(-.f64 (.f64 (.f64 (/.f64 a b_2) c) 1/2) b_2)
(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))))
(fma.f64 1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (fma.f64 -1 b_2 (.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (-.f64 (.f64 (/.f64 a (/.f64 b_2 c)) 1/2) b_2))
(-.f64 (fma.f64 (.f64 (/.f64 a b_2) c) 1/2 (.f64 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) 1/8)) b_2)
(-.f64 (.f64 a (+.f64 (/.f64 (.f64 c 1/2) b_2) (/.f64 (.f64 (.f64 1/8 c) c) (/.f64 (pow.f64 b_2 3) a)))) b_2)
(+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -1 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))))
(fma.f64 1/16 (.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)))) (fma.f64 1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (fma.f64 -1 b_2 (.f64 (.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (-.f64 (*.f64 (/.f64 a (/.f64 b_2 c)) 1/2) b_2)))
(fma.f64 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) 1/8 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (-.f64 (.f64 (*.f64 (/.f64 a b_2) c) 1/2) b_2)))
(-.f64 (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (.f64 1/8 c) c) (pow.f64 b_2 3)) (/.f64 (.f64 (pow.f64 c 3) 1/16) (/.f64 (pow.f64 b_2 5) a)))) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) b_2))
(.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))
(neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 c a)) 1) (sqrt.f64 -1)))
(.f64 (sqrt.f64 (.f64 c a)) (neg.f64 (sqrt.f64 -1)))
(+.f64 (.f64 -1 b_2) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))))
(.f64 -1 (+.f64 b_2 (.f64 (.f64 (sqrt.f64 (.f64 c a)) 1) (sqrt.f64 -1))))
(fma.f64 (neg.f64 (sqrt.f64 (*.f64 c a))) (sqrt.f64 -1) (neg.f64 b_2))
(neg.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1))))))
(fma.f64 -1 b_2 (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))) (neg.f64 (.f64 (.f64 (sqrt.f64 (*.f64 c a)) 1) (sqrt.f64 -1)))))
(-.f64 (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2)) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 -1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(+.f64 (.f64 -1 b_2) (+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 4) (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (pow.f64 1 1/6) (/.f64 (pow.f64 b_2 2) (sqrt.f64 -1))))) (.f64 -1 (.f64 (sqrt.f64 (.f64 c a)) (*.f64 (pow.f64 1 1/6) (sqrt.f64 -1)))))))
(fma.f64 -1 b_2 (fma.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (.f64 1 (pow.f64 b_2 4)) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 -1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 1 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))) (neg.f64 (.f64 (.f64 (sqrt.f64 (.f64 c a)) 1) (sqrt.f64 -1))))))
(-.f64 (-.f64 (fma.f64 (.f64 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) (pow.f64 c 3))) 1/8) (.f64 -1 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b_2 (/.f64 (sqrt.f64 -1) b_2)) -1/2))) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1))) b_2)
(-.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))) (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 -1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1))))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2))
(fma.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (.f64 -1/8 (/.f64 (pow.f64 b_2 4) (sqrt.f64 -1))) (-.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 -1/2 (/.f64 (.f64 b_2 b_2) (sqrt.f64 -1)))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -1) b_2)))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))
(fma.f64 -2 b_2 (.f64 (.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2))
(fma.f64 b_2 -2 (*.f64 (/.f64 a (/.f64 b_2 c)) 1/2))
(fma.f64 b_2 -2 (.f64 (.f64 (/.f64 a b_2) c) 1/2))
(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))))
(fma.f64 1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (fma.f64 -2 b_2 (.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (fma.f64 b_2 -2 (.f64 (/.f64 a (/.f64 b_2 c)) 1/2)))
(fma.f64 b_2 -2 (fma.f64 (.f64 (/.f64 a b_2) c) 1/2 (.f64 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) 1/8)))
(fma.f64 b_2 -2 (.f64 a (+.f64 (/.f64 (.f64 c 1/2) b_2) (/.f64 (.f64 (.f64 1/8 c) c) (/.f64 (pow.f64 b_2 3) a)))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))))
(fma.f64 1/16 (.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)))) (fma.f64 1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (fma.f64 -2 b_2 (.f64 (.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (fma.f64 b_2 -2 (*.f64 (/.f64 a (/.f64 b_2 c)) 1/2))))
(fma.f64 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) 1/8 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 b_2 -2 (.f64 (*.f64 (/.f64 a b_2) c) 1/2))))
(fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 b_2 -2 (.f64 a (+.f64 (/.f64 (.f64 c 1/2) b_2) (/.f64 (.f64 (*.f64 1/8 c) c) (/.f64 (pow.f64 b_2 3) a))))))
(.f64 -1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))
(.f64 -1/2 (.f64 (/.f64 c (/.f64 b_2 a)) 1))
(*.f64 -1/2 (/.f64 a (/.f64 b_2 c)))
(.f64 -1/2 (.f64 (/.f64 a b_2) c))
(+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))
(fma.f64 -1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (.f64 -1/2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1)))
(fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (.f64 -1/8 (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b_2 3)))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (.f64 (/.f64 (.f64 -1/8 (.f64 c c)) (/.f64 (pow.f64 b_2 3) a)) a))
(.f64 a (+.f64 (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 (.f64 -1/8 c) c) (/.f64 (pow.f64 b_2 3) a))))
(+.f64 (.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (.f64 -1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))))
(fma.f64 -1/16 (.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)))) (fma.f64 -1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (.f64 -1/2 (.f64 (/.f64 c (/.f64 b_2 a)) 1))))
(fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (.f64 -1/8 (.f64 c (.f64 c (*.f64 a a)))) (pow.f64 b_2 3))))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))))))
(fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (.f64 (.f64 a a) (+.f64 (/.f64 (.f64 (.f64 -1/8 c) c) (pow.f64 b_2 3)) (/.f64 (.f64 -1/16 (pow.f64 c 3)) (/.f64 (pow.f64 b_2 5) a)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (.f64 1/16 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (pow.f64 1 1/3))) (pow.f64 (.f64 -1/8 (.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 1 1/3))) 2)) (pow.f64 b_2 7))) (+.f64 (.f64 -1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 -1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (.f64 -1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 1 (.f64 (pow.f64 c 4) (pow.f64 a 4))) (pow.f64 (.f64 -1/8 (.f64 1 (.f64 (.f64 c c) (.f64 a a)))) 2)) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)))) (fma.f64 -1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (.f64 -1/2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1)))))
(fma.f64 -1/2 (/.f64 (fma.f64 1/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 1/64)) (pow.f64 b_2 7)) (fma.f64 -1/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) (fma.f64 -1/2 (/.f64 a (/.f64 b_2 c)) (/.f64 (.f64 -1/8 (.f64 c (.f64 c (.f64 a a)))) (pow.f64 b_2 3)))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 5/64) (pow.f64 b_2 7)) (fma.f64 -1/2 (.f64 (/.f64 a b_2) c) (fma.f64 -1/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) (.f64 -1/16 (*.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)))))))
(+.f64 (.f64 a (+.f64 (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 (.f64 -1/8 c) c) (/.f64 (pow.f64 b_2 3) a)))) (fma.f64 -1/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) (/.f64 (.f64 (*.f64 (pow.f64 c 4) (pow.f64 a 4)) -5/128) (pow.f64 b_2 7))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))
(fma.f64 -2 b_2 (.f64 (.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2))
(fma.f64 b_2 -2 (*.f64 (/.f64 a (/.f64 b_2 c)) 1/2))
(fma.f64 b_2 -2 (.f64 (.f64 (/.f64 a b_2) c) 1/2))
(+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (*.f64 c a) b_2) (pow.f64 1 1/3)))))
(fma.f64 1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (fma.f64 -2 b_2 (.f64 (*.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2)))
(fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (fma.f64 b_2 -2 (.f64 (/.f64 a (/.f64 b_2 c)) 1/2)))
(fma.f64 b_2 -2 (fma.f64 (.f64 (/.f64 a b_2) c) 1/2 (.f64 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) 1/8)))
(fma.f64 b_2 -2 (.f64 a (+.f64 (/.f64 (.f64 c 1/2) b_2) (/.f64 (.f64 (.f64 1/8 c) c) (/.f64 (pow.f64 b_2 3) a)))))
(+.f64 (.f64 1/16 (.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b_2 5)) (pow.f64 1 1/3))) (+.f64 (.f64 1/8 (.f64 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b_2 3)) (pow.f64 1 1/3))) (+.f64 (.f64 -2 b_2) (.f64 1/2 (.f64 (/.f64 (.f64 c a) b_2) (pow.f64 1 1/3))))))
(fma.f64 1/16 (.f64 1 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b_2 5) (pow.f64 a 3)))) (fma.f64 1/8 (.f64 1 (/.f64 (.f64 c c) (/.f64 (pow.f64 b_2 3) (.f64 a a)))) (fma.f64 -2 b_2 (.f64 (.f64 (/.f64 c (/.f64 b_2 a)) 1) 1/2))))
(fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b_2 5)) (pow.f64 a 3)) 1/16 (fma.f64 (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (.f64 a a)) 1/8 (fma.f64 b_2 -2 (*.f64 (/.f64 a (/.f64 b_2 c)) 1/2))))
(fma.f64 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b_2 3) c))) 1/8 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 b_2 -2 (.f64 (*.f64 (/.f64 a b_2) c) 1/2))))
(fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b_2 5))) 1/16 (fma.f64 b_2 -2 (.f64 a (+.f64 (/.f64 (.f64 c 1/2) b_2) (/.f64 (.f64 (*.f64 1/8 c) c) (/.f64 (pow.f64 b_2 3) a))))))
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(*.f64 -2 b_2)
(*.f64 b_2 -2)
(*.f64 -2 b_2)
(*.f64 b_2 -2)

localize5.0ms (0%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	3.4b	(/.f64 (*.f64 c 1/2) (/.f64 b_2 a))
✓	11.3b	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)

Compiler

Compiled 29 to 14 computations (51.7% saved)

series7.0ms (0%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
1.0ms	b_2	@	0	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
1.0ms	a	@	0	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
0.0ms	c	@	inf	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
0.0ms	c	@	-inf	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)

rewrite68.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log-prod_binary64`
358×	`pow-prod-down_binary64`
269×	`pow2_binary64`
222×	`log-div_binary64`
213×	`pow-unpow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	200	23
2	3045	20

Stop Event

1×	node limit

Counts

2 → 123

Calls

Call 1

Inputs
(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
(/.f64 (*.f64 c 1/2) (/.f64 b_2 a))

Outputs

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((x *.f64 (*.f64 1/2 (/.f64 c b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c a) (/.f64 1/2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 a) (/.f64 c (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 c 1/2) 2)) a) (/.f64 (cbrt.f64 (*.f64 c 1/2)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c 1/2)) a) (/.f64 (sqrt.f64 (*.f64 c 1/2)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c 1/2) 1) (/.f64 (/.f64 a b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) 2) 1) (/.f64 (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) 1) (/.f64 (sqrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c 1/2) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 2 (/.f64 (/.f64 b_2 a) c)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (/.f64 b_2 a)) (*.f64 c 1/2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a (*.f64 2 (/.f64 (/.f64 b_2 a) c))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 1/2 (/.f64 c b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 0))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (+.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 0) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (+.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 0)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (+.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 0)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (+.f64 (log.f64 (*.f64 1/2 (/.f64 c b_2))) 0) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 c (*.f64 1/2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 c)) (/.f64 a b_2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 c)) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 c)) (/.f64 a b_2)))) (log.f64 (sqrt.f64 (pow.f64 (sqrt.f64 (exp.f64 c)) (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (/.f64 1 (/.f64 b_2 (*.f64 1/2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 c (*.f64 1/2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (/.f64 c (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 c (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c 1/2) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 a (*.f64 1/2 (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 c (*.f64 1/2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) (pow.f64 (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) 2) (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (*.f64 c 1/2) 2)) (*.f64 (cbrt.f64 (*.f64 c 1/2)) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) (sqrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 c 1/2)) (*.f64 (sqrt.f64 (*.f64 c 1/2)) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c -1/2) (/.f64 1 (/.f64 (neg.f64 b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 a b_2) (*.f64 c 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (/.f64 c b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c b_2) (/.f64 1/2 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 b_2) (/.f64 c (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b_2) (/.f64 (*.f64 c 1/2) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 c 1/2) 2)) b_2) (/.f64 (cbrt.f64 (*.f64 c 1/2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c 1/2)) b_2) (/.f64 (sqrt.f64 (*.f64 c 1/2)) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c 1) (/.f64 1/2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (/.f64 b_2 a)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 c 1/2) 2)) 1) (/.f64 (cbrt.f64 (*.f64 c 1/2)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c 1/2)) 1) (/.f64 (sqrt.f64 (*.f64 c 1/2)) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (/.f64 1/2 (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (/.f64 c (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) -2) (/.f64 (*.f64 c 1/2) (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 c 1/2) 2)) (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 c 1/2)) (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (/.f64 (sqrt.f64 (*.f64 c 1/2)) (cbrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 c (sqrt.f64 (/.f64 b_2 a))) (/.f64 1/2 (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/2 (sqrt.f64 (/.f64 b_2 a))) (/.f64 c (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b_2 a) -1/2) (/.f64 (*.f64 c 1/2) (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (pow.f64 (*.f64 c 1/2) 2)) (sqrt.f64 (/.f64 b_2 a))) (/.f64 (cbrt.f64 (*.f64 c 1/2)) (sqrt.f64 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c 1/2) 1) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c 1/2) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) (/.f64 a (cbrt.f64 a))) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 (/.f64 c b_2)) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 (/.f64 b_2 a) c)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 c 1/2) 3) (pow.f64 (/.f64 b_2 a) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 2 (/.f64 (/.f64 b_2 a) c)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 c 1/2) (/.f64 (neg.f64 b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (sqrt.f64 (exp.f64 c)) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 c 1/2) 3) (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 2 (/.f64 (/.f64 b_2 a) c))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 c (*.f64 1/2 (/.f64 a b_2)))))))))

simplify29.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

15×	`associate-/l*_binary64`
12×	`*-commutative_binary64`
9×	`associate-l_binary64`
9×	`associate-/r/_binary64`
8×	`associate-r_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	612
1	19	612
2	34	612
3	57	612
4	80	612
5	90	612

Stop Event

1×

saturated

Counts

195 → 126

Calls

Call 1

Inputs
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(*.f64 1/2 (/.f64 c b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))

Outputs
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(*.f64 1/2 (/.f64 c b_2))
(/.f64 (*.f64 1/2 c) b_2)
(/.f64 c (/.f64 b_2 1/2))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 1/2 (/.f64 c (/.f64 b_2 a)))
(/.f64 1/2 (/.f64 b_2 (*.f64 c a)))
(.f64 1/2 (.f64 (/.f64 a b_2) c))
(.f64 1/2 (.f64 c (/.f64 a b_2)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	0.2b	(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3)
✓	34.1b	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)

Compiler

Compiled 32 to 19 computations (40.6% saved)

series13.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	b_2	@	0	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
2.0ms	a	@	0	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
2.0ms	a	@	-inf	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
2.0ms	b_2	@	-inf	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
1.0ms	a	@	inf	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)

rewrite134.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

918×	`pow1_binary64`
867×	`add-log-exp_binary64`
866×	`log1p-expm1-u_binary64`
866×	`expm1-log1p-u_binary64`
848×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	228	17
2	2411	17

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (*.f64 (/.f64 1 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2)) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 -8 1/3) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -2 (/.f64 b_2 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (/.f64 b_2 a) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) (*.f64 -2 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -8 (pow.f64 (/.f64 b_2 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (*.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 b_2 a) 3) -8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3/2) (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) 3) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3) (pow.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) -2) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (/.f64 b_2 a)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a)))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 -2 b_2) 3) (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -2 b_2) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) (*.f64 -2 b_2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -8) (pow.f64 (/.f64 b_2 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 -2 (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))))))))

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1327×	`associate-/r/_binary64`
761×	`associate-/l/_binary64`
652×	`associate-l_binary64`
570×	`associate-r_binary64`
410×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	512
1	37	512
2	102	512
3	396	440
4	1814	440
5	4631	440
6	5195	440
7	5307	440
8	5439	440
9	5619	440
10	6659	440
11	7619	440

Stop Event

1×	node limit

Counts

112 → 68

Calls

Call 1

Inputs
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))

Outputs
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
✓	0.5b	(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
✓	0.5b	(pow.f64 (cbrt.f64 a) 2)
✓	0.6b	(cbrt.f64 a)

Compiler

Compiled 35 to 21 computations (40% saved)

series14.0ms (0.1%)

Counts

4 → 36

Calls

18 calls:

Time	Variable		Point	Expression
3.0ms	b_2	@	0	(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
2.0ms	a	@	-inf	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
1.0ms	a	@	-inf	(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
1.0ms	b_2	@	inf	(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
1.0ms	a	@	-inf	(pow.f64 (cbrt.f64 a) 2)

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary64`
408×	`exp-prod_binary64`
292×	`pow-prod-down_binary64`
257×	`pow2_binary64`
181×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	216	28
2	2835	28

Stop Event

1×	node limit

Counts

4 → 180

Calls

Call 1

Inputs
(cbrt.f64 a)
(pow.f64 (cbrt.f64 a) 2)
(/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2))
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 1/6) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 a 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 a) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a a) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 a) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 a 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1/3) (log.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 a))) 2)) (cbrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (cbrt.f64 a)))) (sqrt.f64 (log.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 a) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 a 1/6)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 a)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 a) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 a) (pow.f64 a 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a 1/6) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 5) (cbrt.f64 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 a (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 a) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 a)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 a) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 a) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2))) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (/.f64 1 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -2 (.f64 b_2 (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b_2 (.f64 -2 (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 b_2) (pow.f64 (cbrt.f64 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (.f64 (cbrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 -2 b_2)) (.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 b_2) (/.f64 1 (neg.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 a) -2) (.f64 -2 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 a)) (/.f64 (.f64 -2 b_2) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b_2 (cbrt.f64 a)) (/.f64 -2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (cbrt.f64 a)) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b_2 1) (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) 1) (/.f64 (cbrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) 1) (/.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 b_2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b_2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 -2 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2) -2) (/.f64 (.f64 -2 b_2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 4)) (/.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (.f64 -2 b_2) 3) (.f64 a a)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))) 2)) (cbrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))) (sqrt.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 -2 b_2) (neg.f64 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -2) b_2) (pow.f64 (cbrt.f64 a) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 -2 b_2) 3) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (-.f64 (.f64 2/3 (log.f64 a)) (log.f64 (.f64 -2 b_2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (-.f64 (log.f64 (.f64 -2 b_2)) (.f64 2/3 (log.f64 a))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -2 (/.f64 a b_2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 -2 (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 2) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (/.f64 (sqrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (cbrt.f64 (/.f64 1 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) (sqrt.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 2 b_2) (pow.f64 (cbrt.f64 a) -2)) (/.f64 1 (neg.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 1 a)) (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 -2 (cbrt.f64 a)) (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b_2 (cbrt.f64 a)) (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 -2 b_2)) 2) (cbrt.f64 a)) (/.f64 (cbrt.f64 (.f64 -2 b_2)) (pow.f64 (cbrt.f64 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -2 b_2) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (pow.f64 (cbrt.f64 a) -2) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -2 b_2) 1) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) 1) (/.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 1) (/.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 a)) -2) (/.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (cbrt.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (pow.f64 (cbrt.f64 (cbrt.f64 a)) 2)) (/.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) (cbrt.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 -2 b_2) (pow.f64 a 1/6)) (pow.f64 (cbrt.f64 a) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 a -1/6) (/.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 4)) (pow.f64 a 1/6)) (/.f64 (cbrt.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2)))) (pow.f64 a 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -2 (/.f64 a b_2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 1 (.f64 -2 b_2)) a) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6) a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 -1/2 (/.f64 (pow.f64 (cbrt.f64 a) 2) b_2)) (cbrt.f64 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (.f64 -2 b_2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (.f64 (/.f64 1 (.f64 -2 b_2)) a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))) 2)) (cbrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))) (sqrt.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 -2 (/.f64 b_2 (pow.f64 (cbrt.f64 a) 2))) (neg.f64 (cbrt.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -2 (/.f64 a b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 -2 (/.f64 a b_2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (.f64 -2 b_2)) (cbrt.f64 a)) 6) a))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 -2 (/.f64 a b_2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (/.f64 -2 (/.f64 a b_2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 -2 (/.f64 a b_2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 (/.f64 -2 (/.f64 a b_2)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -2 (/.f64 a b_2))))))))

simplify118.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

716×	`associate-*l/_binary64`
515×	`associate-/r/_binary64`
475×	`associate-*r/_binary64`
473×	`sqr-pow_binary64`
450×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	348
1	32	348
2	60	348
3	128	348
4	332	348
5	1079	348
6	2141	348
7	4090	348
8	4967	348
9	5189	348
10	5463	348
11	5868	348
12	6439	348
13	7723	348

Stop Event

1×	node limit

Counts

216 → 184

Calls

Call 1

Inputs
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))

Outputs
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(.f64 -2 (.f64 (pow.f64 (/.f64 1 (pow.f64 a 2)) 1/3) b_2))
(.f64 -2 (.f64 (cbrt.f64 (/.f64 1 (*.f64 a a))) b_2))
(.f64 (.f64 -2 b_2) (cbrt.f64 (/.f64 1 (*.f64 a a))))
(.f64 -2 (.f64 b_2 (cbrt.f64 (/.f64 1 (*.f64 a a)))))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 -2 b_2) a)
(/.f64 -2 (/.f64 a b_2))
(/.f64 b_2 (/.f64 a -2))

eval289.0ms (2%)

Compiler: Compiled 14743 to 6904 computations (53.2% saved)

prune224.0ms (1.5%)

Pruning

48 alts after pruning (42 fresh and 6 done)

	Pruned	Kept	Total
New	724	17	741
Fresh	8	25	33
Picked	0	1	1
Done	1	5	6
Total	733	48	781

Error

0.8b

Counts

781 → 48

Alt Table

Click to see full alt table

Status	Error	Program
	45.3b	(.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (/.f64 1 (neg.f64 a)))
	51.6b	(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
	57.4b	(expm1.f64 (/.f64 c (/.f64 b_2 1/2)))
	44.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	43.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (cbrt.f64 (.f64 c c))) (cbrt.f64 c) (*.f64 b_2 b_2)))) a)
	44.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
	60.1b	(/.f64 (-.f64 (neg.f64 b_2) (.f64 c (.f64 a (/.f64 1/2 b_2)))) a)
✓	36.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	47.0b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))) a)
	60.0b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3) 3) 1/3)
	63.7b	(expm1.f64 (-.f64 (fma.f64 1/2 (/.f64 a b_2) (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2))))
	38.9b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
	57.5b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) a)))))) a)
✓	59.6b	(/.f64 (neg.f64 b_2) a)
	56.6b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))
✓	57.3b	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
	56.5b	(exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))
	47.3b	(/.f64 -2 (/.f64 a b_2))
✓	47.2b	(*.f64 -2 (/.f64 b_2 a))
	47.5b	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
	54.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
	59.6b	(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) 3) 1/3)
	63.7b	(expm1.f64 (+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 a)))))))
	46.4b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
✓	60.0b	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
	47.7b	(/.f64 (.f64 a (+.f64 (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 (.f64 -1/8 c) c) (/.f64 (pow.f64 b_2 3) a)))) a)
	53.9b	(.f64 (.f64 -2 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (cbrt.f64 (/.f64 b_2 a)))
	40.1b	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
	57.5b	(expm1.f64 (log1p.f64 (.f64 (.f64 1/2 (/.f64 c b_2)) 1)))
	57.4b	(*.f64 (/.f64 c a) (/.f64 1/2 (/.f64 b_2 a)))
	46.4b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	49.6b	(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
	37.5b	(/.f64 -1/2 (/.f64 b_2 c))
	43.0b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	60.3b	(pow.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a)))) 3) 1/3)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	51.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
✓	47.6b	(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	57.2b	(/.f64 c (/.f64 b_2 1/2))
	51.8b	(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
	47.3b	(*.f64 b_2 (/.f64 -2 a))
▶	37.3b	(/.f64 (*.f64 -1/2 c) b_2)
▶	62.3b	(*.f64 2 (/.f64 b_2 a))
▶	54.5b	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
▶	56.8b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
	46.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)) a)
▶	60.7b	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)
	56.9b	0

Compiler

Compiled 1335 to 983 computations (26.4% saved)

localize7.0ms (0%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 2 (/.f64 b_2 a))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	b_2	@	0	(*.f64 2 (/.f64 b_2 a))
0.0ms	a	@	0	(*.f64 2 (/.f64 b_2 a))
0.0ms	b_2	@	inf	(*.f64 2 (/.f64 b_2 a))
0.0ms	b_2	@	-inf	(*.f64 2 (/.f64 b_2 a))
0.0ms	a	@	inf	(*.f64 2 (/.f64 b_2 a))

rewrite47.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`pow1_binary64`
604×	`add-log-exp_binary64`
604×	`log1p-expm1-u_binary64`
604×	`expm1-log1p-u_binary64`
592×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1608	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 2 (/.f64 b_2 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 2 (/.f64 b_2 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 2 b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 b_2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 2 b_2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 b_2) 2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 2 (/.f64 b_2 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 2 (/.f64 b_2 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 2 (/.f64 b_2 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 2 (/.f64 b_2 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 2 (/.f64 b_2 a))))))))

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
✓	1.4b	(-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2))
✓	4.1b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
✓	4.1b	(*.f64 (/.f64 c b_2) a)

Compiler

Compiled 59 to 21 computations (64.4% saved)

series10.0ms (0.1%)

Counts

4 → 144

Calls

36 calls:

Time	Variable		Point	Expression
0.0ms	b_2	@	0	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
0.0ms	c	@	0	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
0.0ms	a	@	0	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
0.0ms	c	@	0	(*.f64 (/.f64 c b_2) a)
0.0ms	a	@	-inf	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)

rewrite152.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`log-prod_binary64`
537×	`fma-def_binary64`
297×	`egg-rr`
290×	`fma-neg_binary64`
235×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	284	49
2	4808	49

Stop Event

1×	node limit

Counts

4 → 509

Calls

Call 1

Inputs
(*.f64 (/.f64 c b_2) a)
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
(-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 c b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2))) (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 c b_2) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 c (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 a (/.f64 b_2 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b_2 (.f64 c a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 c a)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) 1) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) (pow.f64 (cbrt.f64 b_2) 2)) (cbrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) (sqrt.f64 b_2)) (sqrt.f64 b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 c) a) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (neg.f64 c)) b_2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 c b_2) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 c b_2) a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 c b_2) a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 c b_2) a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 (/.f64 c b_2) a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 a) (/.f64 c b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 c b_2) a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 c b_2) a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 c b_2) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 c b_2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 c b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 c b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 c b_2) a)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 c b_2) a)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 b_2 a) (neg.f64 (/.f64 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2) a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a))) (cbrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 b_2 a) (/.f64 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2))) 2) (.f64 (cbrt.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2))) (/.f64 1 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 b_2 (fma.f64 (/.f64 c b_2) (.f64 a 1/2) b_2)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 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simplify195.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

969×	`fma-neg_binary64`
802×	`times-frac_binary64`
742×	`distribute-rgt-in_binary64`
652×	`distribute-lft-in_binary64`
595×	`div-sub_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	1304
1	31	1277
2	62	1277
3	112	1277
4	199	1277
5	338	1277
6	595	1277
7	1114	1277
8	1909	1277
9	2593	1277
10	4924	1277
11	5465	1277
12	5887	1277
13	5913	1277
14	5938	1277
15	5962	1277

Stop Event

1×	node limit

Counts

653 → 520

Calls

Call 1

Inputs
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(/.f64 (*.f64 c a) b_2)
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 -1/2 (/.f64 c b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 -1 b_2)
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(.f64 1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
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(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(*.f64 -1 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))

Outputs
(/.f64 (*.f64 c a) b_2)
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(*.f64 (/.f64 c b_2) a)
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(*.f64 (/.f64 c b_2) a)
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(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
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(/.f64 (*.f64 c a) b_2)
(/.f64 c (/.f64 b_2 a))
(*.f64 (/.f64 c b_2) a)
(*.f64 a (/.f64 c b_2))
(*.f64 c (/.f64 a b_2))
(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(/.f64 (*.f64 c a) b_2)
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(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
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(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 -1/2 (/.f64 c b_2))
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(.f64 -1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) -1/2)
(.f64 (.f64 (/.f64 c b_2) a) -1/2)
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(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(*.f64 -1 b_2)
(neg.f64 b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1/2)
(.f64 (.f64 (/.f64 c b_2) a) 1/2)
(.f64 (/.f64 1/2 b_2) (.f64 c a))
(.f64 (.f64 c (/.f64 a b_2)) 1/2)
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(*.f64 a (/.f64 c (/.f64 b_2 1/2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(.f64 1/2 (/.f64 (.f64 c a) b_2))
(*.f64 (/.f64 c (/.f64 b_2 a)) 1/2)
(.f64 (.f64 (/.f64 c b_2) a) 1/2)
(.f64 (/.f64 1/2 b_2) (.f64 c a))
(.f64 (.f64 c (/.f64 a b_2)) 1/2)
(.f64 a (.f64 c (/.f64 1/2 b_2)))
(*.f64 a (/.f64 c (/.f64 b_2 1/2)))
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)
(+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))
(fma.f64 -1 b_2 (*.f64 (/.f64 c (/.f64 b_2 a)) 1/2))
(-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)
(-.f64 (.f64 (/.f64 1/2 b_2) (.f64 c a)) b_2)
(-.f64 (.f64 (.f64 c (/.f64 a b_2)) 1/2) b_2)
(-.f64 (.f64 a (.f64 c (/.f64 1/2 b_2))) b_2)
(-.f64 (*.f64 a (/.f64 c (/.f64 b_2 1/2))) b_2)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 -2 (/.f64 b_2 a))
✓	0.2b	(pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3)
✓	1.6b	(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
✓	19.0b	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)

Compiler

Compiled 57 to 38 computations (33.3% saved)

series35.0ms (0.2%)

Counts

3 → 72

Calls

18 calls:

Time	Variable		Point	Expression
29.0ms	b_2	@	inf	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)
2.0ms	b_2	@	-inf	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)
0.0ms	b_2	@	0	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)
0.0ms	a	@	0	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)
0.0ms	a	@	inf	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)

rewrite85.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

821×	`prod-diff_binary64`
509×	`log-prod_binary64`
452×	`fma-def_binary64`
219×	`fma-neg_binary64`
203×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	300	24
2	3621	24

Stop Event

1×	node limit

Counts

3 → 244

Calls

Call 1

Inputs
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 -2 (/.f64 b_2 a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 -2 (/.f64 b_2 a) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -2 (/.f64 b_2 a)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 (/.f64 b_2 a) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 -2 (/.f64 b_2 a) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -2 (/.f64 b_2 a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2)) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (/.f64 b_2 a)) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 3) (+.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 2) (fma.f64 -2 (/.f64 b_2 a) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 2) (fma.f64 -2 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 2) (fma.f64 -2 (/.f64 b_2 a) 2)) (/.f64 1 (fma.f64 -2 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 b_2 (*.f64 (/.f64 1 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 b_2 a) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (/.f64 b_2 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (*.f64 (cbrt.f64 (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))) (sqrt.f64 (*.f64 -2 (/.f64 b_2 a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 b_2 a)) (*.f64 (sqrt.f64 (/.f64 b_2 a)) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 2) (fma.f64 -2 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 2) -1) (/.f64 1 (fma.f64 -2 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 -2 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (pow.f64 (cbrt.f64 a) 2)) (/.f64 b_2 (cbrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -2 (sqrt.f64 a)) (/.f64 b_2 (sqrt.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 -2 (/.f64 b_2 a) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 -2 (/.f64 b_2 a) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -2 (sqrt.f64 (/.f64 b_2 a))) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 2) (fma.f64 -2 (/.f64 b_2 a) 2)) (+.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 -2 (/.f64 b_2 a) 2) (+.f64 (pow.f64 (fma.f64 -2 (/.f64 b_2 a) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 -2 b_2)))))) (#(struct:change #<rule egg-rr> 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b_2 a) 3) -8 1)) (sqrt.f64 (fma.f64 (pow.f64 (/.f64 b_2 a) 3) -8 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (/.f64 b_2 a)) -2) (/.f64 b_2 a) (*.f64 (fma.f64 -2 (/.f64 b_2 a) -1) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (/.f64 b_2 a)) (/.f64 b_2 a)) -2 (*.f64 (fma.f64 -2 (/.f64 b_2 a) -1) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -2 (/.f64 b_2 a)) (pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 2)) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) (*.f64 (fma.f64 -2 (/.f64 b_2 a) -1) (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)))))))

simplify130.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1327×	`associate-/r/_binary64`
761×	`associate-/l/_binary64`
652×	`associate-l_binary64`
570×	`associate-r_binary64`
410×	`sqr-pow_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	15	680
1	37	680
2	102	680
3	396	608
4	1814	608
5	4631	608
6	5195	608
7	5307	608
8	5439	608
9	5619	608
10	6659	608
11	7619	608

Stop Event

1×	node limit

Counts

316 → 160

Calls

Call 1

Inputs
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))

Outputs
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(/.f64 (*.f64 (cbrt.f64 -8) b_2) a)
(/.f64 (cbrt.f64 -8) (/.f64 a b_2))
(*.f64 (cbrt.f64 -8) (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 b_2 (/.f64 -2 a))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))
(*.f64 -8 (/.f64 (pow.f64 b_2 3) (pow.f64 a 3)))
(*.f64 -8 (pow.f64 (/.f64 b_2 a) 3))

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(pow.f64 (/.f64 b_2 a) 2)
✓	0.3b	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
✓	12.0b	(cbrt.f64 (*.f64 -2 (/.f64 b_2 a)))
✓	31.4b	(pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3)

Compiler

Compiled 60 to 35 computations (41.7% saved)

series50.0ms (0.3%)

Counts

4 → 48

Calls

24 calls:

Time	Variable		Point	Expression
27.0ms	a	@	inf	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
4.0ms	b_2	@	0	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
3.0ms	a	@	0	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
2.0ms	a	@	-inf	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
2.0ms	b_2	@	-inf	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))

rewrite71.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

546×	`log-prod_binary64`
338×	`pow-prod-down_binary64`
306×	`pow-unpow_binary64`
293×	`pow2_binary64`
200×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	297	35
2	3358	35

Stop Event

1×	node limit

Counts

4 → 163

Calls

Call 1

Inputs
(pow.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3)
(cbrt.f64 (*.f64 -2 (/.f64 b_2 a)))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(pow.f64 (/.f64 b_2 a) 2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) (cbrt.f64 (.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 -2) (.f64 (cbrt.f64 (/.f64 b_2 a)) (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (cbrt.f64 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4) 1/18) (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4))) (pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (/.f64 b_2 a) 2)) (pow.f64 (.f64 (/.f64 b_2 a) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 1/6) (sqrt.f64 (.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 4) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) (cbrt.f64 -2)) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 5) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 2/3 (log.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/3 (.f64 2/3 (log.f64 (.f64 (/.f64 b_2 a) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 1) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1/6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))) (log.f64 (sqrt.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 -2) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) (pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4) 1/18) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 b_2 a)) (cbrt.f64 -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 b_2 a)) (sqrt.f64 (cbrt.f64 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 b_2 a)) (pow.f64 4 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 1/6) (pow.f64 (.f64 (/.f64 b_2 a) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4)))) (cbrt.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 4 1/6) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (.f64 b_2 -2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 b_2 a) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 6) 1/18)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 3) 1/9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 4) 1/18) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 b_2 a) 2)) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 1/6 (log.f64 (.f64 (/.f64 b_2 a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2/3 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1/6) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (/.f64 b_2 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -2 (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (.f64 b_2 -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 -2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 b_2 -2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 -2) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 -2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 b_2 -2) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 b_2) -2) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -2 (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 (/.f64 b_2 a) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 a (.f64 b_2 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (.f64 (/.f64 b_2 a) 2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 (/.f64 b_2 a) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 2 (log.f64 (.f64 (/.f64 b_2 a) 2))) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 (/.f64 b_2 a) 2)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (cbrt.f64 (.f64 (/.f64 b_2 a) 2))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (/.f64 b_2 a) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b_2 a) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (/.f64 b_2 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b_2 a) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (/.f64 b_2 a) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 b_2 (.f64 (/.f64 1 a) (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 b_2 a) (/.f64 b_2 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 b_2 a) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (/.f64 b_2 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 b_2 b_2) (pow.f64 a -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 4) (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 b_2 a)) (pow.f64 (/.f64 b_2 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 b_2 a) 3/2) (sqrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (/.f64 b_2 a) b_2) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 b_2 a)) 5) (cbrt.f64 (/.f64 b_2 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (.f64 (/.f64 a b_2) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 b_2 (.f64 a (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 b_2 a) (/.f64 a b_2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (/.f64 a b_2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 b_2) (.f64 a a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 b_2) (.f64 (/.f64 a b_2) (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (neg.f64 b_2) 2) (pow.f64 (neg.f64 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 b_2) b_2) (.f64 (neg.f64 a) a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 b_2) 1) (.f64 (neg.f64 a) (/.f64 a b_2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (neg.f64 b_2)) (.f64 a (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 b_2 (/.f64 b_2 a)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 b_2) (/.f64 b_2 a)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b_2 a) b_2) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (/.f64 b_2 a) (neg.f64 b_2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 b_2 a) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 b_2 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 b_2 a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (/.f64 b_2 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 b_2 a) 2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 (/.f64 b_2 a) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2/3 (log.f64 (/.f64 b_2 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (/.f64 b_2 a)) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (pow.f64 (/.f64 b_2 a) 2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 (log.f64 (pow.f64 (/.f64 b_2 a) 2)) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (/.f64 b_2 a) 2)))))))

simplify102.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

652×	`fma-def_binary64`
637×	`associate-/r/_binary64`
576×	`associate-*l/_binary64`
516×	`associate-/l/_binary64`
348×	`associate-*r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	592
1	62	592
2	124	592
3	389	592
4	1762	592
5	5174	592
6	6885	592

Stop Event

1×	node limit

Counts

211 → 171

Calls

Call 1

Inputs
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 b_2 (cbrt.f64 4))) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 b_2 (cbrt.f64 4))) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 b_2 (cbrt.f64 4))) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) b_2)) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) b_2)) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) b_2)) a))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) b_2)) a))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))

Outputs
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 b_2 (.f64 (cbrt.f64 4) (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 b_2 (cbrt.f64 4))) a))
(neg.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (/.f64 a b_2) (cbrt.f64 4)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 a b_2))
(*.f64 b_2 (/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 a (cbrt.f64 4))))
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 b_2 (cbrt.f64 4))) a))
(neg.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (/.f64 a b_2) (cbrt.f64 4)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 a b_2))
(*.f64 b_2 (/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 a (cbrt.f64 4))))
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 b_2 (cbrt.f64 4))) a))
(neg.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (/.f64 a b_2) (cbrt.f64 4)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 a b_2))
(*.f64 b_2 (/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 a (cbrt.f64 4))))
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 b_2 (cbrt.f64 4))) a))
(neg.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (/.f64 a b_2) (cbrt.f64 4)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 a b_2))
(*.f64 b_2 (/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 a (cbrt.f64 4))))
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(/.f64 (.f64 (.f64 b_2 (cbrt.f64 4)) (cbrt.f64 -2)) a)
(.f64 (/.f64 (cbrt.f64 4) a) (.f64 b_2 (cbrt.f64 -2)))
(.f64 (.f64 (/.f64 b_2 a) (cbrt.f64 -2)) (cbrt.f64 4))
(.f64 (cbrt.f64 4) (.f64 (cbrt.f64 -2) (/.f64 b_2 a)))
(.f64 b_2 (.f64 (/.f64 (cbrt.f64 -2) a) (cbrt.f64 4)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) b_2)) a))
(neg.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (/.f64 a b_2) (cbrt.f64 4)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 a b_2))
(*.f64 b_2 (/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 a (cbrt.f64 4))))
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) b_2)) a))
(neg.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (/.f64 a b_2) (cbrt.f64 4)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 a b_2))
(*.f64 b_2 (/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 a (cbrt.f64 4))))
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) b_2)) a))
(neg.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (/.f64 a b_2) (cbrt.f64 4)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 a b_2))
(*.f64 b_2 (/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 a (cbrt.f64 4))))
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(.f64 -1 (/.f64 (.f64 (cbrt.f64 2) (*.f64 (cbrt.f64 4) b_2)) a))
(neg.f64 (/.f64 (.f64 (cbrt.f64 2) (.f64 b_2 (cbrt.f64 4))) a))
(/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 (/.f64 a b_2) (cbrt.f64 4)))
(/.f64 (*.f64 (neg.f64 (cbrt.f64 2)) (cbrt.f64 4)) (/.f64 a b_2))
(*.f64 b_2 (/.f64 (neg.f64 (cbrt.f64 2)) (/.f64 a (cbrt.f64 4))))
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))
(/.f64 (pow.f64 b_2 2) (pow.f64 a 2))
(/.f64 (.f64 b_2 b_2) (.f64 a a))
(*.f64 (/.f64 b_2 a) (/.f64 b_2 a))
(.f64 b_2 (/.f64 b_2 (.f64 a a)))

eval874.0ms (6%)

Compiler: Compiled 19652 to 10340 computations (47.4% saved)

prune216.0ms (1.5%)

Pruning

54 alts after pruning (45 fresh and 9 done)

	Pruned	Kept	Total
New	877	14	891
Fresh	6	31	37
Picked	1	0	1
Done	1	9	10
Total	885	54	939

Error

0.8b

Counts

939 → 54

Alt Table

Click to see full alt table

Status	Error	Program
	45.3b	(.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (/.f64 1 (neg.f64 a)))
	57.4b	(expm1.f64 (/.f64 c (/.f64 b_2 1/2)))
	44.7b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
	43.2b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (cbrt.f64 (.f64 c c))) (cbrt.f64 c) (*.f64 b_2 b_2)))) a)
	44.8b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
✓	36.3b	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
	47.5b	(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
	38.9b	(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
	62.6b	(expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))
	60.1b	(/.f64 (-.f64 (neg.f64 b_2) (.f64 c (.f64 a (/.f64 1/2 b_2)))) a)
	47.0b	(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))) a)
	60.0b	(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3) 3) 1/3)
	63.7b	(expm1.f64 (-.f64 (fma.f64 1/2 (/.f64 a b_2) (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2))))
✓	59.6b	(/.f64 (neg.f64 b_2) a)
	47.5b	(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
	56.6b	(pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))
	56.5b	(exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))
	54.5b	(.f64 (pow.f64 (.f64 (/.f64 (/.f64 b_2 a) (/.f64 a b_2)) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
✓	57.3b	(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
	47.3b	(/.f64 -2 (/.f64 a b_2))
	57.5b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (exp.f64 (log.f64 (.f64 (/.f64 c b_2) a))) 1/2) b_2)) a)
✓	47.2b	(*.f64 -2 (/.f64 b_2 a))
	47.5b	(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
	54.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
	63.7b	(expm1.f64 (+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 a)))))))
	46.4b	(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
	45.3b	(/.f64 (.f64 c (.f64 a (/.f64 -1/2 b_2))) a)
✓	60.0b	(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
	47.7b	(/.f64 (.f64 a (+.f64 (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 (.f64 -1/8 c) c) (/.f64 (pow.f64 b_2 3) a)))) a)
	40.1b	(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
✓	60.7b	(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)
	47.3b	(*.f64 b_2 (/.f64 -2 a))
	37.3b	(*.f64 c (/.f64 -1/2 b_2))
	57.5b	(expm1.f64 (log1p.f64 (.f64 (.f64 1/2 (/.f64 c b_2)) 1)))
	57.4b	(*.f64 (/.f64 c a) (/.f64 1/2 (/.f64 b_2 a)))
	63.0b	(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 1/3) 3))
	46.4b	(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
	49.6b	(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
	43.0b	(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
	62.3b	(/.f64 (/.f64 (*.f64 2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
	60.3b	(pow.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a)))) 3) 1/3)
	45.7b	(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
	56.9b	0
	47.7b	(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)) b_2)) a)
	51.4b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
	57.2b	(/.f64 c (/.f64 b_2 1/2))
	51.8b	(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
✓	37.3b	(/.f64 (*.f64 -1/2 c) b_2)
✓	62.3b	(*.f64 2 (/.f64 b_2 a))
	63.0b	(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
✓	56.8b	(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
	46.9b	(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)) a)
	54.5b	(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) (cbrt.f64 a)))
	62.3b	(/.f64 2 (/.f64 a b_2))

Compiler

Compiled 777 to 574 computations (26.1% saved)

regimes1.8s (12.1%)

Counts

85 → 3

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 2 (/.f64 a b_2))
(/.f64 -2 (/.f64 a b_2))
(/.f64 c (/.f64 b_2 1/2))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(*.f64 (+.f64 b_2 b_2) (/.f64 1 (neg.f64 a)))
(/.f64 (.f64 c (.f64 a (/.f64 -1/2 b_2))) a)
(*.f64 (/.f64 c a) (/.f64 1/2 (/.f64 b_2 a)))
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
(/.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (.f64 c (.f64 a (/.f64 1/2 b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(expm1.f64 (/.f64 c (/.f64 b_2 1/2)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(/.f64 (.f64 a (+.f64 (/.f64 (.f64 -1/2 c) b_2) (/.f64 (.f64 (.f64 -1/8 c) c) (/.f64 (pow.f64 b_2 3) a)))) a)
(expm1.f64 (log1p.f64 (*.f64 (/.f64 b_2 a) 2)))
(exp.f64 (log.f64 (/.f64 -2 (/.f64 a b_2))))
(exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a))))
(pow.f64 (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))) 3)
(/.f64 (.f64 (cbrt.f64 4) (.f64 b_2 (cbrt.f64 -2))) a)
(pow.f64 (pow.f64 (*.f64 (/.f64 b_2 a) 2) 3) 1/3)
(expm1.f64 (log1p.f64 (.f64 (.f64 1/2 (/.f64 c b_2)) 1)))
(pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3)
(.f64 (cbrt.f64 4) (.f64 (/.f64 (neg.f64 b_2) a) (cbrt.f64 2)))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 (/.f64 b_2 a) 2)) 1/3) 3))
(/.f64 (/.f64 (.f64 -2 b_2) (cbrt.f64 (.f64 a a))) (cbrt.f64 a))
(/.f64 (+.f64 (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) b_2) a)
(pow.f64 (pow.f64 (-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1) 3) 1/3)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (*.f64 c (neg.f64 a)) 1/4) 2)) a)
(.f64 (/.f64 1 a) (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))))
(.f64 (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (.f64 a (neg.f64 c))))) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (cbrt.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2))) a)
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (exp.f64 (log.f64 (.f64 (/.f64 c b_2) a))) 1/2) b_2)) a)
(fma.f64 -1/8 (/.f64 c (/.f64 (pow.f64 b_2 3) (*.f64 c a))) (/.f64 -1/2 (/.f64 b_2 c)))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 1/4) 2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (.f64 (log.f64 (-.f64 (.f64 b_2 b_2) (*.f64 a c))) 1/2))) a)
(fma.f64 -1/2 (/.f64 c b_2) (.f64 (/.f64 (.f64 c c) (pow.f64 b_2 3)) (*.f64 a -1/8)))
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (pow.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)) 3/2) 1/3)) a)
(.f64 (pow.f64 (.f64 (/.f64 (/.f64 b_2 a) (/.f64 a b_2)) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (exp.f64 (log.f64 (*.f64 (/.f64 c b_2) a)))))) a)
(/.f64 (/.f64 (-.f64 (.f64 b_2 b_2) (-.f64 (.f64 b_2 b_2) (.f64 a c))) (+.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (neg.f64 (.f64 a c)))))) a)
(pow.f64 (exp.f64 1) (log.f64 (/.f64 -2 (/.f64 a b_2))))
(/.f64 (/.f64 (*.f64 2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(/.f64 (/.f64 (*.f64 -2 b_2) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))
(.f64 (.f64 -2 (cbrt.f64 (pow.f64 (/.f64 b_2 a) 2))) (cbrt.f64 (/.f64 b_2 a)))
(pow.f64 (/.f64 a (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) -1)
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (cbrt.f64 (*.f64 -2 (/.f64 b_2 a))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c))) 3))) a)
(expm1.f64 (+.f64 (.f64 1/2 (/.f64 a b_2)) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 b_2))) (log.f64 (neg.f64 (*.f64 2 (/.f64 1 a)))))))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (+.f64 (.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (fma.f64 a (neg.f64 c) (.f64 a c)))))) a)
(pow.f64 (pow.f64 (exp.f64 (log.f64 (*.f64 -2 (/.f64 b_2 a)))) 3) 1/3)
(pow.f64 (pow.f64 (sqrt.f64 (*.f64 (pow.f64 (/.f64 b_2 a) 2) 4)) 3) 1/3)
(pow.f64 (pow.f64 (pow.f64 (pow.f64 (*.f64 -2 (/.f64 b_2 a)) 3) 1/3) 3) 1/3)
(expm1.f64 (log1p.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a)))
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a c)))) a) 3) 1/3)
(/.f64 (pow.f64 (cbrt.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) 3) a)
(/.f64 (-.f64 (neg.f64 b_2) (exp.f64 (log.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))))) a)
(expm1.f64 (-.f64 (fma.f64 1/2 (/.f64 a b_2) (log.f64 (/.f64 -2 a))) (log.f64 (/.f64 -1 b_2))))
(pow.f64 (pow.f64 (/.f64 (-.f64 b_2 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) a) 3) 1/3)
(/.f64 (-.f64 (neg.f64 (pow.f64 (exp.f64 1/4) (*.f64 2 (+.f64 (log.f64 (neg.f64 a)) (log.f64 c))))) b_2) a)
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 b_2 a) 2) 4) 1/3) (/.f64 (cbrt.f64 (*.f64 b_2 -2)) (cbrt.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (cbrt.f64 (.f64 c c))) (cbrt.f64 c) (*.f64 b_2 b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (.f64 -1 (log.f64 (/.f64 1 a))) (log.f64 (neg.f64 c))))) 2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (pow.f64 (exp.f64 (.f64 1/4 (+.f64 (log.f64 (neg.f64 a)) (.f64 -1 (log.f64 (/.f64 1 c)))))) 2)) a)
(/.f64 (fma.f64 (sqrt.f64 b_2) (neg.f64 (sqrt.f64 b_2)) (neg.f64 (hypot.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))))) a)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (.f64 (neg.f64 a) (pow.f64 (cbrt.f64 c) 2)) (cbrt.f64 c) (.f64 b_2 b_2)))) a)

Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))

Calls

5 calls:

859.0ms	c
395.0ms	a
188.0ms	b_2
143.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)
135.0ms	(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)

Results

Error	Segments	Branch
24.7b	7	`a`
9.4b	3	`b_2`
25.0b	8	`c`
11.9b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`
11.9b	5	`(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a)`

Compiler

Compiled 1039 to 532 computations (48.8% saved)

bsearch143.0ms (1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
74.0ms	5.377411534828139e+69	1.080297374904591e+77
68.0ms	-1.3470533807690797e-87	-2.6056637417575326e-88

Compiler

Compiled 466 to 321 computations (31.1% saved)

regimes906.0ms (6.3%)

Counts

32 → 3

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 2 (/.f64 a b_2))
(/.f64 -2 (/.f64 a b_2))
(/.f64 c (/.f64 b_2 1/2))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(*.f64 (+.f64 b_2 b_2) (/.f64 1 (neg.f64 a)))
(/.f64 (.f64 c (.f64 a (/.f64 -1/2 b_2))) a)
(*.f64 (/.f64 c a) (/.f64 1/2 (/.f64 b_2 a)))
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
(/.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (.f64 c (.f64 a (/.f64 1/2 b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(expm1.f64 (/.f64 c (/.f64 b_2 1/2)))
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)

Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) a)
(*.f64 -2 (/.f64 b_2 a))

Calls

3 calls:

567.0ms	c
204.0ms	a
124.0ms	b_2

Results

Error	Segments	Branch
32.1b	6	`a`
13.5b	3	`b_2`
29.6b	11	`c`

Compiler

Compiled 262 to 136 computations (48.1% saved)

bsearch334.0ms (2.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
257.0ms	1.9058784603418383e-25	5.327900929299429e-25
76.0ms	-1.3470533807690797e-87	-2.6056637417575326e-88

Compiler

Compiled 275 to 202 computations (26.5% saved)

regimes328.0ms (2.3%)

Counts

31 → 2

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 2 (/.f64 a b_2))
(/.f64 -2 (/.f64 a b_2))
(/.f64 c (/.f64 b_2 1/2))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 2 (/.f64 b_2 a))
(*.f64 -2 (/.f64 b_2 a))
(*.f64 -1/2 (/.f64 c b_2))
(/.f64 (-.f64 (neg.f64 b_2) (neg.f64 b_2)) a)
(*.f64 (+.f64 b_2 b_2) (/.f64 1 (neg.f64 a)))
(/.f64 (.f64 c (.f64 a (/.f64 -1/2 b_2))) a)
(*.f64 (/.f64 c a) (/.f64 1/2 (/.f64 b_2 a)))
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(-.f64 (+.f64 1 (*.f64 -2 (/.f64 b_2 a))) 1)
(/.f64 (/.f64 (*.f64 c 1/2) (/.f64 b_2 a)) a)
(/.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) a)
(/.f64 (*.f64 -1/2 (/.f64 a (/.f64 b_2 c))) a)
(/.f64 (.f64 -1/2 (/.f64 (.f64 c a) b_2)) a)
(+.f64 (.f64 -2 (/.f64 b_2 a)) (.f64 1/2 (/.f64 c b_2)))
(.f64 (/.f64 (.f64 c 1/2) (/.f64 b_2 a)) (/.f64 1 (neg.f64 a)))
(/.f64 (-.f64 (neg.f64 b_2) (.f64 c (.f64 a (/.f64 1/2 b_2)))) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 (/.f64 c b_2) (.f64 a 1/2)) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (-.f64 (.f64 (.f64 (/.f64 c b_2) a) 1/2) b_2)) a)
(/.f64 (-.f64 (neg.f64 b_2) (+.f64 (.f64 -1 b_2) (.f64 1/2 (/.f64 (*.f64 c a) b_2)))) a)
(expm1.f64 (/.f64 c (/.f64 b_2 1/2)))

Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 -2 (/.f64 b_2 a))

Calls

3 calls:

135.0ms	a
128.0ms	c
36.0ms	b_2

Results

Error	Segments	Branch
33.6b	7	`a`
21.9b	2	`b_2`
34.8b	5	`c`

Compiler

Compiled 252 to 132 computations (47.6% saved)

bsearch73.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
73.0ms	-1.4517281509340922e-298	-5.082750853718733e-305

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes105.0ms (0.7%)

Counts

12 → 2

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 2 (/.f64 a b_2))
(/.f64 -2 (/.f64 a b_2))
(/.f64 c (/.f64 b_2 1/2))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))
(/.f64 (*.f64 -1/2 c) b_2)
(*.f64 2 (/.f64 b_2 a))

Outputs
(/.f64 (*.f64 -1/2 c) b_2)
(/.f64 -2 (/.f64 a b_2))

Calls

3 calls:

49.0ms	a
37.0ms	c
15.0ms	b_2

Results

Error	Segments	Branch
33.6b	7	`a`
22.0b	2	`b_2`
34.8b	5	`c`

Compiler

Compiled 70 to 43 computations (38.6% saved)

bsearch51.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
51.0ms	-1.4517281509340922e-298	-5.082750853718733e-305

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes111.0ms (0.8%)

Counts

10 → 2

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 2 (/.f64 a b_2))
(/.f64 -2 (/.f64 a b_2))
(/.f64 c (/.f64 b_2 1/2))
(*.f64 b_2 (/.f64 -2 a))
(/.f64 -2 (/.f64 a b_2))
(/.f64 -1/2 (/.f64 b_2 c))

Outputs
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 -2 (/.f64 a b_2))

Calls

3 calls:

53.0ms	a
42.0ms	c
13.0ms	b_2

Results

Error	Segments	Branch
33.6b	7	`a`
22.1b	2	`b_2`
34.8b	5	`c`

Compiler

Compiled 60 to 37 computations (38.3% saved)

bsearch55.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
55.0ms	-1.4517281509340922e-298	-5.082750853718733e-305

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes265.0ms (1.8%)

Counts

5 → 2

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 -2 a))
(*.f64 c (/.f64 -1/2 b_2))
(/.f64 2 (/.f64 a b_2))

Outputs
(*.f64 c (/.f64 -1/2 b_2))
(*.f64 b_2 (/.f64 -2 a))

Calls

3 calls:

155.0ms	c
57.0ms	a
51.0ms	b_2

Results

Error	Segments	Branch
34.7b	5	`a`
22.1b	2	`b_2`
34.9b	5	`c`

Compiler

Compiled 35 to 24 computations (31.4% saved)

bsearch115.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
115.0ms	-1.4517281509340922e-298	-5.082750853718733e-305

Compiler

Compiled 184 to 141 computations (23.4% saved)

regimes32.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)
(*.f64 b_2 (/.f64 -2 a))

Outputs
0
(*.f64 b_2 (/.f64 -2 a))

Calls

3 calls:

14.0ms	b_2
9.0ms	a
8.0ms	c

Results

Error	Segments	Branch
47.3b	1	`a`
41.8b	2	`b_2`
47.3b	1	`c`

Compiler

Compiled 25 to 18 computations (28% saved)

bsearch100.0ms (0.7%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
100.0ms	-1.4517281509340922e-298	-5.082750853718733e-305

Compiler

Compiled 148 to 123 computations (16.9% saved)

regimes32.0ms (0.2%)

Accuracy

Total -8.3b remaining (-15.3%)

Threshold costs -8.3b (-15.3%)

Counts

2 → 2

Calls

Call 1

Inputs
0
(/.f64 (neg.f64 b_2) a)

Outputs
0
(/.f64 (neg.f64 b_2) a)

Calls

3 calls:

16.0ms	b_2
7.0ms	c
7.0ms	a

Results

Error	Segments	Branch
56.9b	1	`a`
54.1b	2	`b_2`
56.9b	1	`c`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch114.0ms (0.8%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
114.0ms	-1.4517281509340922e-298	-5.082750853718733e-305

Compiler

Compiled 139 to 114 computations (18% saved)

simplify26.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	205
1	78	205
2	101	205
3	127	205
4	141	205
5	148	205
6	150	205

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 b_2 -2431108532949475840/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 5500000000000000015799014881938578604284302465478574850665375309234176) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -2431108532949475840/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 66355061549583/340282366920938463463374607431768211456) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (*.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 (.f64 -1/2 c) b_2) (.f64 -2 (/.f64 b_2 a)))
(if (<=.f64 b_2 -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 (*.f64 -1/2 c) b_2) (/.f64 -2 (/.f64 a b_2)))
(if (<=.f64 b_2 -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (*.f64 c (/.f64 -1/2 b_2)) (/.f64 -2 (/.f64 a b_2)))
(if (<=.f64 b_2 -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (.f64 c (/.f64 -1/2 b_2)) (.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -2569559856440467/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) 0 (*.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -2569559856440467/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) 0 (/.f64 (neg.f64 b_2) a))
0

Outputs
(if (<=.f64 b_2 -2431108532949475840/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 5500000000000000015799014881938578604284302465478574850665375309234176) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 a c)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -4748258853416945/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 5500000000000000015799014881938578604284302465478574850665375309234176) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (.f64 b_2 b_2) (.f64 c a)))) a) (+.f64 (.f64 -2 (/.f64 b_2 a)) (*.f64 1/2 (/.f64 c b_2)))))
(if (<=.f64 b_2 -2431108532949475840/9173994463960286046443283581208347763186259956673124494950355357547691504353939232280074212440502746218496) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 66355061549583/340282366920938463463374607431768211456) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (*.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -4748258853416945/17917957937422433684459538244547554224973163977877196279199912807710334969441287563047019946172856926208) (/.f64 (.f64 -1/2 c) b_2) (if (<=.f64 b_2 66355061549583/340282366920938463463374607431768211456) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (.f64 c (neg.f64 a)))) a) (*.f64 -2 (/.f64 b_2 a))))
(if (<=.f64 b_2 -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 (.f64 -1/2 c) b_2) (.f64 -2 (/.f64 b_2 a)))
(if (<=.f64 b_2 -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (/.f64 (*.f64 -1/2 c) b_2) (/.f64 -2 (/.f64 a b_2)))
(if (<=.f64 b_2 -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (*.f64 c (/.f64 -1/2 b_2)) (/.f64 -2 (/.f64 a b_2)))
(if (<=.f64 b_2 -5655053629744163/94250893829069388263158195986839619953910191433570402840572110390025349132714488958921462158410402245441022265850013080700211570312172862173529993715108609721771173307935875544541938110298112193699817954782743504532616344943965179202194956899229230517898712545800381131625461678593653502029519299346025224452702208) (.f64 c (/.f64 -1/2 b_2)) (.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -2569559856440467/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) 0 (*.f64 b_2 (/.f64 -2 a)))
(if (<=.f64 b_2 -2569559856440467/49414612623855131433714684257548170666395666446323759364477870612165610246092613987295015552108672972457782681717971658054152523775828485563235693344906862773807964911271084317496803647971976645810490155877135026504396358257981615873560389562783094809768080203212590222737650052546509407272052614415528872877858335227904) 0 (/.f64 (neg.f64 b_2) a))
0

Compiler

Compiled 168 to 118 computations (29.8% saved)

soundness321.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

436×	`times-frac_binary64`
340×	`div-sub_binary64`
324×	`distribute-rgt-neg-in_binary64`
312×	`fma-neg_binary64`
297×	`neg-mul-1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	676
1	72	644
2	187	644
3	286	644
4	818	644
5	3228	644
6	6067	644
7	7832	644

Stop Event

1×	node limit

Compiler

Compiled 16 to 12 computations (25% saved)

end173.0ms (1.2%)

Compiler: Compiled 144 to 89 computations (38.2% saved)