Details

analyze147.0ms (1.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.9s (18.9%)

Results

1.2s	6746×	body	256	valid
501.0ms	1510×	body	512	valid
192.0ms	1106×	body	256	invalid

preprocess90.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

795×	`fma-def_binary64`
730×	`div-sub_binary64`
558×	`associate-/r*_binary64`
366×	`sub-neg_binary64`
359×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	104
1	92	88
2	213	88
3	442	88
4	752	88
5	1245	88
6	2215	88
7	4456	88
8	7294	88
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) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (.f64 c -3) (*.f64 b b)))) a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a) -1/3)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 a))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 (.f64 3 b) c)))) (.f64 3 b))
(/.f64 (+.f64 (neg.f64 a) (sqrt.f64 (-.f64 (.f64 a a) (.f64 3 (.f64 b c))))) (.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 c (.f64 b -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a a (.f64 b (.f64 c -3)))) a) (*.f64 b 3))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 c -3) (.f64 a a))) a) (*.f64 b 3))
(.f64 -1/3 (/.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -3) (*.f64 a a)))) b))
(.f64 (-.f64 a (sqrt.f64 (fma.f64 b (.f64 c -3) (*.f64 a a)))) (/.f64 -1/3 b))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 c) a)))) (.f64 3 c))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 3 (.f64 c a))))) (.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 c))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (.f64 c -3) (.f64 b b))) b) (*.f64 3 c))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) c) -1/3)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 c))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 (.f64 3 a) b)))) (.f64 3 a))
(/.f64 (+.f64 (neg.f64 c) (sqrt.f64 (-.f64 (.f64 c c) (.f64 b (.f64 3 a))))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c c (.f64 b (.f64 a -3)))) c) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b (.f64 a -3) (.f64 c c))) c) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -3) (*.f64 c c)))) a))
(.f64 (/.f64 (-.f64 c (sqrt.f64 (fma.f64 a (.f64 b -3) (*.f64 c c)))) a) -1/3)
(.f64 (-.f64 c (sqrt.f64 (fma.f64 b (.f64 a -3) (*.f64 c c)))) (/.f64 -1/3 a))

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify124.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1220×	`fma-neg_binary64`
827×	`fma-def_binary64`
741×	`div-sub_binary64`
403×	`associate-/l/_binary64`
347×	`times-frac_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	26
1	30	22
2	69	22
3	160	22
4	262	22
5	431	22
6	741	22
7	1339	22
8	2834	22
9	4740	22
10	6245	22
11	6866	22
12	7042	22
13	7147	22
14	7630	22

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))

Outputs
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 -3 c)))) b) (*.f64 3 a))
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 a (.f64 c -3)))) b) (*.f64 3 a))
(.f64 -1/3 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a))
(.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) a) -1/3)
(.f64 (-.f64 b (sqrt.f64 (fma.f64 b b (.f64 a (*.f64 c -3))))) (/.f64 -1/3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

eval1.0ms (0%)

Compiler: Compiled 35 to 23 computations (34.3% saved)

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

52.5b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

Compiler

Compiled 38 to 26 computations (31.6% saved)

localize26.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
✓	0.2b	(.f64 c (.f64 a -3))
✓	0.4b	(/.f64 1/3 a)
✓	26.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 62 to 36 computations (41.9% saved)

series27.0ms (0.3%)

Counts

4 → 64

Calls

27 calls:

Time	Variable		Point	Expression
3.0ms	c	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
2.0ms	b	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
2.0ms	b	@	0	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
1.0ms	c	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
1.0ms	b	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

rewrite101.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	282	47
2	3661	47

Stop Event

1×	node limit

Counts

4 → 187

Calls

Call 1

Inputs
(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
(/.f64 1/3 a)
(.f64 c (.f64 a -3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

968×	`times-frac_binary64`
721×	`fma-def_binary64`
630×	`associate-/l*_binary64`
556×	`associate-/r*_binary64`
422×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	169	1663
1	503	1638
2	1878	1556

Stop Event

1×	node limit

Counts

251 → 243

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 -3 (.f64 c a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
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(fma.f64 -1/24 (.f64 (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/6 (.f64 (/.f64 (.f64 b b) (sqrt.f64 -3)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (fma.f64 -1/3 (/.f64 b a) (.f64 1/3 (*.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a)))))))
(fma.f64 -1/24 (.f64 (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3))) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5))))) (fma.f64 1/6 (.f64 (/.f64 b (/.f64 (sqrt.f64 -3) b)) (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3))))) (fma.f64 1/3 (.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 c a))) (*.f64 -1/3 (/.f64 b a)))))
(+.f64 (fma.f64 (sqrt.f64 -3) (.f64 1/3 (sqrt.f64 (/.f64 c a))) (.f64 (/.f64 -1/3 a) b)) (fma.f64 (.f64 (/.f64 b (sqrt.f64 -3)) b) (.f64 1/6 (sqrt.f64 (/.f64 (/.f64 1 (pow.f64 a 3)) c))) (.f64 (/.f64 (pow.f64 b 4) (/.f64 (sqrt.f64 -3) (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))))) 1/72)))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (/.f64 -1/2 b) c)
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))))
(fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a)))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (.f64 c c) (.f64 a a))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7))) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -1/6 (/.f64 (fma.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/64)) (.f64 a (pow.f64 b 7))) (fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b)))))
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -1/6 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (.f64 c a))))))
(*.f64 -2/3 (/.f64 b a))
(*.f64 (/.f64 b a) -2/3)
(/.f64 b (/.f64 a -2/3))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(fma.f64 -2/3 (/.f64 b a) (*.f64 1/2 (/.f64 c b)))
(fma.f64 1/2 (/.f64 c b) (*.f64 (/.f64 b a) -2/3))
(fma.f64 1/2 (/.f64 c b) (/.f64 b (/.f64 a -2/3)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 1/2 (/.f64 c b) (.f64 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)) 3/8)))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) 3/8)))
(fma.f64 1/2 (/.f64 c b) (fma.f64 (/.f64 b a) -2/3 (.f64 (/.f64 3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -2/3 (/.f64 b a) (fma.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 1/2 (/.f64 c b) (.f64 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)) 3/8))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) 9/16 (fma.f64 1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) 3/8))))
(fma.f64 (/.f64 b a) -2/3 (fma.f64 1/2 (/.f64 c b) (fma.f64 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) 3/8 (.f64 (/.f64 9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a))))))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (/.f64 -1/2 b) c)
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))))
(fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 a a) (pow.f64 b 3))) 2)) b)) (fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 c 4) a) (/.f64 (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64)) b)) (fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b)))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 c 4) (.f64 a b))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (*.f64 a a))))))
(*.f64 -1/2 (/.f64 c b))
(*.f64 (/.f64 -1/2 b) c)
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3))))
(fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (*.f64 c c)) (pow.f64 b 3)))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(fma.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2))) b) (fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 a (.f64 c c)) (pow.f64 b 3))))))
(fma.f64 -1/6 (.f64 (/.f64 (pow.f64 a 3) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (fma.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a) (.f64 -1/2 (/.f64 c b)))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a))))))

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
✓	0.2b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	0.2b	(.f64 (.f64 3 a) c)
✓	26.6b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series15.0ms (0.1%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
2.0ms	b	@	0	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))
1.0ms	b	@	0	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
1.0ms	b	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
1.0ms	a	@	-inf	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
0.0ms	a	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

rewrite116.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

735×	`log-prod_binary64`
725×	`fma-def_binary64`
366×	`fma-neg_binary64`
248×	`expm1-udef_binary64`
248×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	66
1	302	56
2	4504	54

Stop Event

1×	node limit

Counts

4 → 317

Calls

Call 1

Inputs
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
(.f64 (.f64 3 a) c)
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

968×	`times-frac_binary64`
729×	`fma-def_binary64`
630×	`associate-/l*_binary64`
556×	`associate-/r*_binary64`
422×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2065
1	509	1986
2	1896	1904

Stop Event

1×	node limit

Counts

417 → 378

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 3 (.f64 c a))
(.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3)))))
(+.f64 (.f64 -1/24 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 5)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 1/6 (.f64 (sqrt.f64 (/.f64 1 (.f64 c (pow.f64 a 3)))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/3 (/.f64 b a)) (.f64 1/3 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 -3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/6 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (.f64 a (pow.f64 b 7)))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -2/3 (/.f64 b a))
(+.f64 (.f64 -2/3 (/.f64 b a)) (.f64 1/2 (/.f64 c b)))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -2/3 (/.f64 b a)) (+.f64 (.f64 9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 1/2 (/.f64 c b)) (.f64 3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 a 3) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3)))))
(+.f64 (.f64 -1/6 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) (.f64 a b))) (+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (/.f64 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 b b)) (/.f64 (sqrt.f64 -3) 1/2))) b)
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (-.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24)) b))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (*.f64 a a))))
(fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (*.f64 a a))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 -3/2 (/.f64 c (/.f64 b a)))))
(fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -9/8 (.f64 c c)) (.f64 a a)) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (fma.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/64)) (pow.f64 b 7)) (fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (*.f64 -3/2 (/.f64 c (/.f64 b a))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16)))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (*.f64 b -2))
(fma.f64 b -2 (/.f64 3/2 (/.f64 b (*.f64 c a))))
(fma.f64 b -2 (.f64 (/.f64 (.f64 c a) b) 3/2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 b -2)))
(fma.f64 (/.f64 c (/.f64 b a)) 3/2 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) 9/8 (*.f64 b -2)))
(fma.f64 b -2 (fma.f64 (/.f64 (.f64 c a) b) 3/2 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) 9/8))))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(fma.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 3/2 (/.f64 c (/.f64 b a)) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 b -2))))
(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) 27/16 (fma.f64 (/.f64 c (/.f64 b a)) 3/2 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) 9/8 (.f64 b -2))))
(fma.f64 (/.f64 (.f64 c a) b) 3/2 (fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 27/16 (fma.f64 b -2 (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) 9/8)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (*.f64 a a))))
(fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (*.f64 a a))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 -3/2 (/.f64 c (/.f64 b a)))))
(fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 c c) (pow.f64 b 3))) 2))) b) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 a 4) b) (fma.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 81/64))) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 4) b)) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) (/.f64 (.f64 -9/8 (.f64 c c)) (/.f64 (pow.f64 b 3) (*.f64 a a))))
(fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (*.f64 a a))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (.f64 -3/2 (/.f64 c (/.f64 b a)))))
(fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
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(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
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(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(fma.f64 c (.f64 a -3) (.f64 b b))

eval318.0ms (3.1%)

Compiler: Compiled 16945 to 10423 computations (38.5% saved)

prune188.0ms (1.8%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	590	31	621
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	590	33	623

Error

0.3b

Counts

623 → 33

Alt Table

Click to see full alt table

Status	Error	Program
	3.7b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (.f64 a a)))) (.f64 3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
▶	2.0b	(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2))))
	3.7b	(/.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))) (*.f64 3 a))
✓	52.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	51.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/3 a))
	6.6b	(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
	3.3b	(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
	6.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
▶	1.4b	(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))))
	6.2b	(/.f64 c (/.f64 b -1/2))
	2.4b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -27/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (/.f64 1/3 a))
	52.2b	(.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/3 a))
	52.8b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/3 a))
	52.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3)))) (*.f64 3 a))
▶	3.6b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
	2.0b	(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a)))))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	52.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	6.6b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
▶	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	1.9b	(/.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16))))) (.f64 3 a))
✓	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	60.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
	1.9b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) (.f64 3 a))
▶	6.4b	(*.f64 (/.f64 -1/2 b) c)
	52.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 b (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (.f64 c (.f64 a -3))))) (*.f64 3 a))
	2.5b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16)))) (.f64 3 a))
	52.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (exp.f64 (log.f64 (.f64 3 (.f64 a c))))))) (.f64 3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
	2.5b	(.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (/.f64 1/3 a))
	6.6b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))

Compiler

Compiled 1734 to 1228 computations (29.2% saved)

localize91.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 c 4) (pow.f64 b 6))
✓	0.4b	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
✓	0.4b	(/.f64 (*.f64 c c) (pow.f64 b 3))
✓	0.4b	(/.f64 (pow.f64 c 3) (pow.f64 b 5))

Compiler

Compiled 208 to 131 computations (37% saved)

series42.0ms (0.4%)

Counts

4 → 60

Calls

27 calls:

Time	Variable		Expression
6.0ms	c	@	(/.f64 (*.f64 c c) (pow.f64 b 3))
5.0ms	b	@	(/.f64 (*.f64 c c) (pow.f64 b 3))
3.0ms	a	@	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
3.0ms	c	@	(/.f64 (pow.f64 c 3) (pow.f64 b 5))
2.0ms	c	@	(/.f64 (pow.f64 c 4) (pow.f64 b 6))

rewrite117.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`log-prod_binary64`
312×	`expm1-udef_binary64`
312×	`log1p-udef_binary64`
280×	`log-pow_binary64`
194×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	46
1	427	46
2	5115	46

Stop Event

1×	node limit

Counts

4 → 154

Calls

Call 1

Inputs
(/.f64 (pow.f64 c 3) (pow.f64 b 5))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(/.f64 (pow.f64 c 4) (pow.f64 b 6))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (pow.f64 b -5))) (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (pow.f64 b -5))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (pow.f64 b -5)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 (.f64 c c) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c 3) (pow.f64 b -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c c) (.f64 c (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (cbrt.f64 (pow.f64 b 5))) (pow.f64 (/.f64 c (cbrt.f64 (pow.f64 b 5))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (/.f64 c (cbrt.f64 (pow.f64 b 5))) 2) (/.f64 c (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 c 3/2) (pow.f64 b 5/2)) (/.f64 (pow.f64 c 3/2) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 c 3)) (/.f64 1 (neg.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -5) (pow.f64 c 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c 3/2) (.f64 (pow.f64 c 3/2) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c 1) (/.f64 (.f64 c c) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) 1) (/.f64 c (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 c 3/2) 1) (/.f64 (pow.f64 c 3/2) (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (cbrt.f64 (pow.f64 b 10))) (/.f64 (.f64 c c) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) (cbrt.f64 (pow.f64 b 10))) (/.f64 c (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 b 10))) (/.f64 (pow.f64 c 3) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 c 3/2) (cbrt.f64 (pow.f64 b 10))) (/.f64 (pow.f64 c 3/2) (cbrt.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 b 5/2)) (/.f64 (.f64 c c) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) (pow.f64 b 5/2)) (/.f64 c (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 b 5/2)) (/.f64 (pow.f64 c 3) (pow.f64 b 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 c (cbrt.f64 (pow.f64 b 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 c 3/2) (pow.f64 b 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 c 3) (neg.f64 (pow.f64 b 5))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 10)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (pow.f64 b -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (.f64 (pow.f64 c 8) c) (pow.f64 (pow.f64 b 5) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 c) (.f64 -5 (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 3 (log.f64 c) (*.f64 -5 (log.f64 b))) 1))))))
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(2) ((x .f64 (pow.f64 c 4) (pow.f64 b -6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 c 4) (.f64 (pow.f64 b -3) (pow.f64 b -3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 c 4) (pow.f64 b -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (pow.f64 c 4) (pow.f64 b -6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b)) (cbrt.f64 (/.f64 (pow.f64 c 8) (pow.f64 b 12))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b)) (.f64 (/.f64 (pow.f64 (cbrt.f64 c) 2) b) (.f64 c (.f64 c (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 c 8) (pow.f64 b 12))) (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 c 8)) (.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 b -6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 c (pow.f64 b 3/2)) (.f64 (/.f64 c (pow.f64 b 3/2)) (.f64 c (.f64 c (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (pow.f64 c 4)) (/.f64 1 (neg.f64 (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -6) (pow.f64 c 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 b -3) (/.f64 (pow.f64 c 4) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 c (.f64 c (pow.f64 b -3))) (/.f64 c (pow.f64 b 3/2))) (/.f64 c (pow.f64 b 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) 1) (/.f64 (.f64 c c) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 8)) (pow.f64 b 3)) (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 8)) 1) (/.f64 (cbrt.f64 (pow.f64 c 4)) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 c c) (cbrt.f64 (pow.f64 b 12))) (/.f64 (.f64 c c) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (cbrt.f64 (pow.f64 b 12))) (/.f64 (pow.f64 c 4) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (cbrt.f64 (pow.f64 c 8)) (cbrt.f64 (pow.f64 b 12))) (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 c (.f64 c (pow.f64 b -3))) (.f64 c c)) (pow.f64 b -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 c (.f64 c (pow.f64 b -3))) (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b))) (/.f64 (pow.f64 (cbrt.f64 c) 2) b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (.f64 c (pow.f64 b -3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 c 4) (pow.f64 b -6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 c 4) (pow.f64 b -6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (pow.f64 c 4)) (.f64 b b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 6) (pow.f64 c 4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (pow.f64 c 4) (neg.f64 (pow.f64 b 6))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (pow.f64 c 8) (pow.f64 b 12)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 c 4)) (pow.f64 b -6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 c 4) (pow.f64 b -6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 c 4) (pow.f64 b -6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 b 6) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 c 4) (pow.f64 b -6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 c 4) (pow.f64 b -6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 c) (.f64 -6 (log.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 4 (log.f64 c) (*.f64 -6 (log.f64 b))) 1))))))

simplify190.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

760×	`sqr-pow_binary64`
688×	`times-frac_binary64`
518×	`*-commutative_binary64`
485×	`associate-/l*_binary64`
325×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	816
1	42	816
2	119	816
3	518	816
4	4144	816
5	4215	816
6	4366	816
7	4590	816
8	4823	816
9	5102	816
10	5770	816
11	6205	816
12	6759	816
13	7418	816
14	7728	816
15	7980	816

Stop Event

1×	node limit

Counts

214 → 158

Calls

Call 1

Inputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))

Outputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(.f64 (/.f64 (.f64 a a) (pow.f64 b 5)) (pow.f64 c 3))
(*.f64 (pow.f64 c 3) (/.f64 a (/.f64 (pow.f64 b 5) a)))

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 14 to 9 computations (35.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite54.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

615×	`pow1_binary64`
572×	`add-log-exp_binary64`
571×	`log1p-expm1-u_binary64`
571×	`expm1-log1p-u_binary64`
561×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1559	7

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

45 → 22

Calls

Call 1

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

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

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
✓	0.3b	(.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c))
✓	0.3b	(.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))
	0.4b	(/.f64 1/3 a)

Compiler

Compiled 101 to 49 computations (51.5% saved)

series28.0ms (0.3%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
8.0ms	c	@	0	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
3.0ms	b	@	0	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
2.0ms	a	@	0	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
1.0ms	a	@	0	(.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))
1.0ms	b	@	-inf	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

349×	`expm1-udef_binary64`
349×	`log1p-udef_binary64`
317×	`pow3_binary64`
314×	`prod-diff_binary64`
291×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	19	67
1	419	65
2	5207	65

Stop Event

1×	node limit

Counts

3 → 73

Calls

Call 1

Inputs

(*.f64 (*.f64 a a) (*.f64 (/.f64 -9/8 (pow.f64 b 3)) (*.f64 c c)))

(*.f64 (/.f64 -9/8 (pow.f64 b 3)) (*.f64 c c))

(*.f64 (fma.f64 -3/2 (*.f64 (/.f64 a b) c) (*.f64 (*.f64 a a) (*.f64 (/.f64 -9/8 (pow.f64 b 3)) (*.f64 c c)))) (/.f64 1/3 a))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (*.f64 a a)) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (*.f64 -9/8 (*.f64 c c))) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (cbrt.f64 (*.f64 -9/8 (*.f64 c c))) b) (pow.f64 (cbrt.f64 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 4) (*.f64 (/.f64 81/64 (pow.f64 b 6)) (pow.f64 c 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3)) 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 c c) (*.f64 (pow.f64 b 3) -8/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 b 3) (*.f64 -9/8 (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 -9/8 (*.f64 c c))) (neg.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -9/8 (*.f64 c c)) b) (*.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -9/8 (*.f64 c c)) 1) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -9/8 (*.f64 c c)) (*.f64 b b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b 3/2)) (pow.f64 b 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 9/8 (*.f64 c c)) (neg.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 c c) 9/8) (neg.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (*.f64 -9/8 (*.f64 c c))) b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (*.f64 -9/8 (*.f64 c c))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 81/64 (pow.f64 b 6)) (pow.f64 c 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) c) (*.f64 -9/8 (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 -9/8 (pow.f64 b -3)) 3) (pow.f64 (*.f64 c c) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 c c) 3) (pow.f64 (*.f64 -9/8 (pow.f64 b -3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -3))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3/2 (/.f64 (*.f64 a c) b)) (/.f64 1/3 a)) (*.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 a) (*.f64 -3/2 (/.f64 (*.f64 a c) b))) (*.f64 (/.f64 1/3 a) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) (/.f64 1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) (*.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 1/3)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 1/3) 1) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 1/3) (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 1/3) (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2))) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) -1/3) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) (/.f64 1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) (/.f64 1/3 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) (/.f64 1/3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 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(/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) (/.f64 1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 3) (pow.f64 (/.f64 1/3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 3) (pow.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -3/2 (/.f64 (*.f64 a c) b) (pow.f64 (*.f64 a 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simplify153.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

624×	`unswap-sqr_binary64`
589×	`associate-*l/_binary64`
577×	`associate-/r*_binary64`
552×	`associate-r_binary64`
520×	`associate-l_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	1725
1	58	1725
2	214	1725
3	1138	1725
4	6027	1698
5	7284	1644
6	7443	1644
7	7695	1644
8	7877	1644

Stop Event

1×	node limit

Counts

169 → 83

Calls

Call 1

Inputs
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))

Outputs
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))
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(/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c (*.f64 c a)))))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))
(.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a)))
(.f64 -9/8 (/.f64 c (/.f64 (pow.f64 b 3) (.f64 c (*.f64 a a)))))
(/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c (*.f64 c a)))))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))
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(/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c (*.f64 c a)))))
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(.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (*.f64 a a))))
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(/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c (*.f64 c a)))))
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(/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c (*.f64 c a)))))
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(/.f64 -9/8 (/.f64 (pow.f64 b 3) (.f64 a (.f64 c (*.f64 c a)))))
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(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(*.f64 -1/2 (/.f64 c b))
(*.f64 c (/.f64 -1/2 b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(*.f64 -1/2 (/.f64 c b))
(*.f64 c (/.f64 -1/2 b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(*.f64 -1/2 (/.f64 c b))
(*.f64 c (/.f64 -1/2 b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a))
(.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8))
(.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) a)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 (/.f64 c (pow.f64 b 3)) c) (*.f64 a -3/8)))
(fma.f64 -1/2 (/.f64 c b) (.f64 (/.f64 c (pow.f64 b 3)) (.f64 a (*.f64 c -3/8))))
(.f64 (/.f64 c b) (+.f64 -1/2 (.f64 -3/8 (.f64 c (/.f64 a (.f64 b b))))))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	0.5b	(cbrt.f64 (pow.f64 (/.f64 1/3 a) 3))
✓	0.7b	(pow.f64 (/.f64 1/3 a) 3)
	26.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 77 to 49 computations (36.4% saved)

series14.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
9.0ms	a	@	0	(pow.f64 (/.f64 1/3 a) 3)
4.0ms	a	@	-inf	(cbrt.f64 (pow.f64 (/.f64 1/3 a) 3))
1.0ms	a	@	-inf	(pow.f64 (/.f64 1/3 a) 3)
1.0ms	a	@	inf	(pow.f64 (/.f64 1/3 a) 3)
0.0ms	a	@	inf	(cbrt.f64 (pow.f64 (/.f64 1/3 a) 3))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`pow1_binary64`
554×	`add-log-exp_binary64`
554×	`log1p-expm1-u_binary64`
554×	`expm1-log1p-u_binary64`
541×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	157	11
2	1572	11

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(pow.f64 (/.f64 1/3 a) 3)
(cbrt.f64 (pow.f64 (/.f64 1/3 a) 3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/27 (pow.f64 a 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 (/.f64 1 a) (pow.f64 (/.f64 1/3 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 a) (pow.f64 (/.f64 1/3 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/27 (pow.f64 a 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/27 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (pow.f64 (/.f64 1 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/27 (/.f64 1 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (*.f64 (cbrt.f64 (/.f64 1/3 a)) (pow.f64 (/.f64 1/3 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 a)) (*.f64 (sqrt.f64 (/.f64 1/3 a)) (pow.f64 (/.f64 1/3 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 1/3 a) 3/2) (pow.f64 (/.f64 1/3 a) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) 3) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 3) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 2) 1/3) (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 2) 1) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 2) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2)) (cbrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 2) (sqrt.f64 (/.f64 1/3 a))) (sqrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (pow.f64 (*.f64 a 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 a 3) 1/27))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/27 (pow.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (/.f64 1/3 a) 2) (*.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/27 (pow.f64 (neg.f64 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/27 (neg.f64 (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (pow.f64 (/.f64 1/3 a) 2)) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1/3 (pow.f64 (/.f64 1/3 a) 2)) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 2) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 2) 1) (*.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 2) -1/3) (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 a) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/27 (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (/.f64 1/3 a))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (/.f64 1 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 a)) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/3 a)) (pow.f64 (pow.f64 (/.f64 1/3 a) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 1/3 a)) (sqrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1/3 (/.f64 1 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 2) 1/3) (cbrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 (neg.f64 (neg.f64 a)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (*.f64 a 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 a 3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 1/3 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 a)))))))

simplify184.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1274×	`sqr-pow_binary64`
666×	`pow-sqr_binary64`
529×	`cube-prod_binary64`
471×	`fabs-mul_binary64`
455×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	148
1	25	148
2	43	148
3	63	148
4	104	148
5	252	148
6	814	148
7	2298	148
8	2394	148
9	2541	148
10	2699	148
11	2957	148
12	3285	148
13	3709	148
14	4210	148
15	4809	148
16	5527	148
17	5848	148
18	6134	148
19	6360	148
20	6538	148
21	6620	148
22	7560	148

Stop Event

1×	node limit

Counts

89 → 67

Calls

Call 1

Inputs
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(*.f64 -1 (/.f64 (cbrt.f64 -1/27) a))
(*.f64 -1 (/.f64 (cbrt.f64 -1/27) a))
(*.f64 -1 (/.f64 (cbrt.f64 -1/27) a))
(*.f64 -1 (/.f64 (cbrt.f64 -1/27) a))

Outputs
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/27 (pow.f64 a 3))
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(*.f64 -1 (/.f64 (cbrt.f64 -1/27) a))
(neg.f64 (/.f64 (cbrt.f64 -1/27) a))
(/.f64 (neg.f64 (cbrt.f64 -1/27)) a)
(*.f64 -1 (/.f64 (cbrt.f64 -1/27) a))
(neg.f64 (/.f64 (cbrt.f64 -1/27) a))
(/.f64 (neg.f64 (cbrt.f64 -1/27)) a)
(*.f64 -1 (/.f64 (cbrt.f64 -1/27) a))
(neg.f64 (/.f64 (cbrt.f64 -1/27) a))
(/.f64 (neg.f64 (cbrt.f64 -1/27)) a)
(*.f64 -1 (/.f64 (cbrt.f64 -1/27) a))
(neg.f64 (/.f64 (cbrt.f64 -1/27) a))
(/.f64 (neg.f64 (cbrt.f64 -1/27)) a)

localize51.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
	0.4b	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
	0.4b	(/.f64 (*.f64 c c) (pow.f64 b 3))
	0.4b	(/.f64 (pow.f64 c 3) (pow.f64 b 5))

Compiler

Compiled 113 to 65 computations (42.5% saved)

series5.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
1.0ms	a	@	inf	(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
1.0ms	c	@	0	(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
1.0ms	b	@	0	(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))
1.0ms	b	@	inf	(.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

949×	`pow1_binary64`
885×	`add-log-exp_binary64`
885×	`log1p-expm1-u_binary64`
885×	`expm1-log1p-u_binary64`
94×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	195	13
2	2450	13

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

777×	`unswap-sqr_binary64`
638×	`associate-/r*_binary64`
488×	`associate-/l/_binary64`
404×	`sqr-pow_binary64`
380×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	468
1	25	468
2	68	468
3	236	468
4	1143	468
5	4765	468
6	5154	468
7	6446	468
8	6635	468
9	6884	468
10	7175	468
11	7591	468

Stop Event

1×	node limit

Counts

62 → 28

Calls

Call 1

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

Outputs
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))
(/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))
(/.f64 (*.f64 c c) (/.f64 (pow.f64 b 3) a))
(/.f64 (.f64 (.f64 a c) c) (pow.f64 b 3))
(/.f64 (.f64 (.f64 c c) a) (pow.f64 b 3))
(.f64 c (/.f64 (.f64 c a) (pow.f64 b 3)))

eval386.0ms (3.7%)

Compiler: Compiled 21224 to 13593 computations (36% saved)

prune165.0ms (1.6%)

Pruning

49 alts after pruning (45 fresh and 4 done)

	Pruned	Kept	Total
New	621	25	646
Fresh	6	20	26
Picked	1	0	1
Done	2	4	6
Total	630	49	679

Error

0.2b

Counts

679 → 49

Alt Table

Click to see full alt table

Status	Error	Program
	3.7b	(/.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))) (*.f64 3 a))
✓	52.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	51.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/3 a))
	6.6b	(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
	3.3b	(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
	51.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
	3.3b	(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
	6.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
	5.7b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (exp.f64 (log.f64 (/.f64 1/3 a))))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
	3.6b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
	2.4b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -27/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (/.f64 1/3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a)))
	52.2b	(.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/3 a))
	52.8b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/3 a))
▶	52.3b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3)))) (*.f64 3 a))
▶	3.7b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
▶	2.0b	(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a)))))
	52.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (/.f64 1/3 a))))))
	6.6b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
	6.2b	(/.f64 (*.f64 -1/2 c) b)
✓	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	6.3b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	6.6b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	4.4b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	1.9b	(/.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16))))) (.f64 3 a))
✓	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3)))
	2.1b	(.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
✓	6.4b	(*.f64 (/.f64 -1/2 b) c)
	3.8b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	2.0b	(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))
	1.9b	(/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) (.f64 3 a))
▶	6.4b	(/.f64 -1/2 (/.f64 b c))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	52.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 b (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (.f64 c (.f64 a -3))))) (*.f64 3 a))
	3.6b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (*.f64 a 3) -1))
	2.5b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16)))) (.f64 3 a))
	45.2b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	52.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (exp.f64 (log.f64 (.f64 3 (.f64 a c))))))) (.f64 3 a))
	60.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
▶	1.4b	(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (.f64 a (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))
	3.7b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (.f64 a a)))) (.f64 3 a))
	2.5b	(.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (/.f64 1/3 a))

Compiler

Compiled 2601 to 1839 computations (29.3% saved)

localize74.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (pow.f64 c 4) (pow.f64 b 6))
	0.4b	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
✓	0.4b	(.f64 (/.f64 c (.f64 b b)) (/.f64 c b))
	0.4b	(/.f64 (pow.f64 c 3) (pow.f64 b 5))

Compiler

Compiled 223 to 114 computations (48.9% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite58.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

883×	`pow1_binary64`
823×	`add-log-exp_binary64`
823×	`log1p-expm1-u_binary64`
823×	`expm1-log1p-u_binary64`
802×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	155	10
2	2314	10

Stop Event

1×	node limit

Counts

1 → 53

Calls

Call 1

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

Outputs

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

simplify136.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

791×	`sqr-pow_binary64`
705×	`times-frac_binary64`
591×	`unswap-sqr_binary64`
369×	`associate-/l*_binary64`
343×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	240
1	20	240
2	46	240
3	116	240
4	457	240
5	3377	240
6	4541	240
7	4721	240
8	4929	240
9	5162	240
10	5471	240
11	5869	240
12	6376	240
13	6995	240
14	7765	240

Stop Event

1×	node limit

Counts

77 → 55

Calls

Call 1

Inputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))

Outputs
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(*.f64 c (/.f64 c (pow.f64 b 3)))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 -1/2 (/.f64 b c))

Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

697×	`pow1_binary64`
651×	`add-log-exp_binary64`
650×	`log1p-expm1-u_binary64`
650×	`expm1-log1p-u_binary64`
638×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	134	7
2	1769	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

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

Outputs

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

simplify13.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

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

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

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
	0.3b	(.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c))
	0.3b	(.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))
✓	0.3b	(*.f64 (/.f64 1 a) 1/3)

Compiler

Compiled 109 to 56 computations (48.6% saved)

series4.0ms (0%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	a	@	0	(*.f64 (/.f64 1 a) 1/3)
0.0ms	b	@	-inf	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
0.0ms	a	@	0	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
0.0ms	c	@	inf	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
0.0ms	a	@	-inf	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))

rewrite81.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

368×	`expm1-udef_binary64`
368×	`log1p-udef_binary64`
314×	`prod-diff_binary64`
309×	`log-pow_binary64`
215×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	39
1	452	38
2	5489	38

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

Inputs
(*.f64 (/.f64 1 a) 1/3)
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 a 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1/3 a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1/3 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 1/9 (*.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1/3 a) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 1/3 a)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -3/2 (/.f64 a b)) c) (/.f64 1/3 a)) (*.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 a) (*.f64 (*.f64 -3/2 (/.f64 a b)) c)) (*.f64 (/.f64 1/3 a) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/3 a)) (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 3) (pow.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) 3) (pow.f64 (/.f64 1/3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 1/3 (/.f64 (fma.f64 -3/2 (*.f64 a (/.f64 c b)) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)) a))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1/3 a) (*.f64 (*.f64 -3/2 (/.f64 a b)) c) (*.f64 (/.f64 1/3 a) (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 -3/2 (/.f64 a b)) c) (/.f64 1/3 a) (*.f64 (pow.f64 (*.f64 a (*.f64 c (/.f64 (sqrt.f64 -9/8) (pow.f64 b 3/2)))) 2) (/.f64 1/3 a)))))))

simplify94.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1197×	`associate-*l/_binary64`
1003×	`associate-/l/_binary64`
825×	`associate-/r/_binary64`
783×	`unswap-sqr_binary64`
386×	`*-commutative_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	18	777
1	41	777
2	114	777
3	455	777
4	2584	750
5	3093	696
6	3304	696
7	3895	696
8	4855	696
9	5031	696

Stop Event

1×	node limit

Counts

87 → 45

Calls

Call 1

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

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

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 c (.f64 a -3))
✓	0.6b	(cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3))
✓	0.8b	(pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3)
✓	26.6b	(+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3))))

Compiler

Compiled 96 to 59 computations (38.5% saved)

series14.0ms (0.1%)

Counts

3 → 92

Calls

27 calls:

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

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

577×	`log-prod_binary64`
403×	`pow-prod-down_binary64`
315×	`fma-def_binary64`
312×	`pow2_binary64`
223×	`pow-unpow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	43
1	302	40
2	3578	40

Stop Event

1×	node limit

Counts

3 → 159

Calls

Call 1

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

Outputs

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

simplify103.0ms (1%)

Algorithm

1×	egg-herbie

Rules

676×	`times-frac_binary64`
560×	`fma-neg_binary64`
455×	`*-commutative_binary64`
406×	`associate-/l*_binary64`
386×	`associate-+l+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	188	2303
1	624	2217
2	2530	2167
3	7653	2144

Stop Event

1×	node limit

Counts

251 → 219

Calls

Call 1

Inputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(*.f64 -2 b)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (.f64 c a)))) (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (+.f64 (pow.f64 b 6) (+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (.f64 c a)))) (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))))))
(pow.f64 b 6)
(+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (*.f64 c a)))) (pow.f64 b 6))
(+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (.f64 c a)))) (+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (pow.f64 b 6)))
(+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (.f64 c a)))) (+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (+.f64 (pow.f64 b 6) (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))))))
(pow.f64 b 6)
(+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (*.f64 c a)))) (pow.f64 b 6))
(+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (.f64 c a)))) (+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (pow.f64 b 6)))
(+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (.f64 c a)))) (+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (+.f64 (pow.f64 b 6) (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))))))
(pow.f64 b 6)
(+.f64 (pow.f64 b 6) (.f64 (+.f64 (.f64 -3 (.f64 a (pow.f64 b 4))) (.f64 -6 (*.f64 a (pow.f64 b 4)))) c))
(+.f64 (pow.f64 b 6) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 9 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 (+.f64 (.f64 -3 (.f64 a (pow.f64 b 4))) (.f64 -6 (.f64 a (pow.f64 b 4)))) c)))
(+.f64 (pow.f64 b 6) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (+.f64 (.f64 (pow.f64 c 2) (+.f64 (.f64 9 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 a 2) (pow.f64 b 2))))) (.f64 (+.f64 (.f64 -3 (.f64 a (pow.f64 b 4))) (.f64 -6 (.f64 a (pow.f64 b 4)))) c))))
(.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 18 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 9 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 c 2)) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 18 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 9 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 c 2)) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (+.f64 (.f64 -3 (.f64 a (pow.f64 b 4))) (.f64 -6 (.f64 a (pow.f64 b 4)))) c)))
(+.f64 (.f64 (+.f64 (.f64 18 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 9 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 c 2)) (+.f64 (pow.f64 b 6) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 (+.f64 (.f64 -3 (.f64 a (pow.f64 b 4))) (.f64 -6 (.f64 a (pow.f64 b 4)))) c))))
(.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))
(+.f64 (.f64 (+.f64 (.f64 18 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 9 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 c 2)) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (.f64 (+.f64 (.f64 18 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 9 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 c 2)) (+.f64 (.f64 -1 (.f64 c (+.f64 (.f64 3 (.f64 a (pow.f64 b 4))) (.f64 6 (.f64 a (pow.f64 b 4)))))) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(+.f64 (.f64 (+.f64 (.f64 18 (.f64 (pow.f64 a 2) (pow.f64 b 2))) (.f64 9 (.f64 (pow.f64 a 2) (pow.f64 b 2)))) (pow.f64 c 2)) (+.f64 (pow.f64 b 6) (+.f64 (.f64 -1 (.f64 c (+.f64 (.f64 3 (.f64 a (pow.f64 b 4))) (.f64 6 (.f64 a (pow.f64 b 4)))))) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))))
(pow.f64 b 6)
(+.f64 (pow.f64 b 6) (.f64 a (+.f64 (.f64 -6 (.f64 c (pow.f64 b 4))) (.f64 -3 (*.f64 c (pow.f64 b 4))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (pow.f64 b 6) (.f64 a (+.f64 (.f64 -6 (.f64 c (pow.f64 b 4))) (.f64 -3 (.f64 c (pow.f64 b 4)))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (pow.f64 b 6) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 a (+.f64 (.f64 -6 (.f64 c (pow.f64 b 4))) (.f64 -3 (.f64 c (pow.f64 b 4))))))))
(.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 a (+.f64 (.f64 -6 (.f64 c (pow.f64 b 4))) (.f64 -3 (.f64 c (pow.f64 b 4)))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (pow.f64 b 6) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 a (+.f64 (.f64 -6 (.f64 c (pow.f64 b 4))) (.f64 -3 (.f64 c (pow.f64 b 4))))))))
(.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1 (.f64 a (+.f64 (.f64 3 (.f64 c (pow.f64 b 4))) (.f64 6 (*.f64 c (pow.f64 b 4))))))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (pow.f64 b 6) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1 (.f64 a (+.f64 (.f64 3 (.f64 c (pow.f64 b 4))) (.f64 6 (*.f64 c (pow.f64 b 4)))))))))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(pow.f64 b 2)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(.f64 -3 (.f64 c a))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))

Outputs
(.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))
(+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))
(fma.f64 -1 b (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3)))
(fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (pow.f64 b 2) (sqrt.f64 -3)))) (+.f64 (.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3)))) (+.f64 (.f64 -1 b) (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 (.f64 b b) (sqrt.f64 -3))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (pow.f64 (sqrt.f64 -3) 3))) (fma.f64 -1 b (.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 -3)))))
(fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (/.f64 b (/.f64 (sqrt.f64 -3) b))) (fma.f64 -1/8 (.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (pow.f64 b 4) (.f64 -3 (sqrt.f64 -3)))) (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b))))
(+.f64 (fma.f64 (sqrt.f64 (.f64 c a)) (sqrt.f64 -3) (neg.f64 b)) (fma.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (.f64 c a))) (.f64 (/.f64 b (sqrt.f64 -3)) b)) (.f64 (/.f64 (sqrt.f64 (/.f64 1 (.f64 (pow.f64 c 3) (pow.f64 a 3)))) (/.f64 (sqrt.f64 -3) (pow.f64 b 4))) 1/24)))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 -3/2 (/.f64 c (/.f64 b a))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 c (/.f64 b a)))))
(+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 (.f64 -9/8 (.f64 c c)) (.f64 a a)) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7)) (fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (fma.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)) (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 81/64)) (pow.f64 b 7)) (fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))))
(*.f64 -2 b)
(*.f64 b -2)
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (*.f64 -2 b))
(fma.f64 3/2 (/.f64 (.f64 c a) b) (.f64 b -2))
(fma.f64 b -2 (/.f64 (.f64 (.f64 c a) 3/2) b))
(fma.f64 b -2 (*.f64 (/.f64 c (/.f64 b a)) 3/2))
(+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b)))
(fma.f64 3/2 (/.f64 (.f64 c a) b) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 b -2)))
(fma.f64 (/.f64 c (/.f64 b a)) 3/2 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) 9/8 (*.f64 b -2)))
(fma.f64 (/.f64 c (/.f64 b a)) 3/2 (fma.f64 b -2 (/.f64 (.f64 c (.f64 c (*.f64 a a))) (/.f64 (pow.f64 b 3) 9/8))))
(+.f64 (.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))) (+.f64 (.f64 3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (*.f64 -2 b))))
(fma.f64 27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) (fma.f64 3/2 (/.f64 (.f64 c a) b) (fma.f64 9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (*.f64 b -2))))
(fma.f64 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)) 27/16 (fma.f64 (/.f64 c (/.f64 b a)) 3/2 (fma.f64 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) 9/8 (.f64 b -2))))
(fma.f64 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) 27/16 (fma.f64 (/.f64 c (/.f64 b a)) 3/2 (fma.f64 b -2 (/.f64 (.f64 c (.f64 c (.f64 a a))) (/.f64 (pow.f64 b 3) 9/8)))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 -3/2 (/.f64 c (/.f64 b a))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 c (/.f64 b a)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 a 2) (pow.f64 b 3))) 2))) b)) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 a a) (pow.f64 b 3))) 2))) b) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 c 4) b)) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))))
(.f64 -3/2 (/.f64 (.f64 c a) b))
(*.f64 -3/2 (/.f64 c (/.f64 b a)))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (.f64 -3/2 (/.f64 (.f64 c a) b)))
(fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (*.f64 a a))))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 -3/2 (/.f64 c (/.f64 b a))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 c (/.f64 b a)))))
(+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (+.f64 (.f64 -1/2 (/.f64 (.f64 (pow.f64 a 4) (+.f64 (.f64 81/16 (/.f64 (pow.f64 c 4) (pow.f64 b 6))) (pow.f64 (.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 3))) 2))) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a a))) (fma.f64 -1/2 (/.f64 (.f64 (pow.f64 c 4) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (pow.f64 (.f64 -9/8 (/.f64 (.f64 a a) (pow.f64 b 3))) 2))) b) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) c)) (.f64 a a)) (fma.f64 -1/2 (.f64 (/.f64 (pow.f64 c 4) b) (fma.f64 81/16 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 81/64))) (fma.f64 -3/2 (/.f64 c (/.f64 b a)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))))
(fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -1/2 (.f64 (.f64 (/.f64 (pow.f64 a 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 c 4) b)) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (*.f64 -3/2 (/.f64 c (/.f64 b a))))))
(.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))
(.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27)
(.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) -27))
(.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) -27))
(+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 27) (.f64 b b) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27))
(fma.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (.f64 b b) 27)) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -27)))
(.f64 (.f64 a a) (+.f64 (.f64 a (.f64 (pow.f64 c 3) -27)) (.f64 (.f64 b b) (.f64 (.f64 c c) 27))))
(+.f64 (.f64 (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 a 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 a 2)))) (pow.f64 b 2)) (+.f64 (.f64 (pow.f64 b 4) (+.f64 (.f64 -6 (.f64 c a)) (.f64 -3 (.f64 c a)))) (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 27) (.f64 b b) (fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27)))
(fma.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 (.f64 b b) 27)) (fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -27))))
(fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (.f64 c (-.f64 (.f64 c (.f64 (.f64 b b) (.f64 (.f64 a a) 27))) (.f64 (pow.f64 b 4) (*.f64 a 9)))))
(fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (.f64 c (fma.f64 c (.f64 (.f64 b b) (.f64 (.f64 a a) 27)) (.f64 (pow.f64 b 4) (.f64 a -9)))))
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(fma.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (.f64 b b) 27)) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -27)))
(.f64 (.f64 a a) (+.f64 (.f64 a (.f64 (pow.f64 c 3) -27)) (.f64 (.f64 b b) (.f64 (.f64 c c) 27))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 a (+.f64 (.f64 -6 (.f64 c (pow.f64 b 4))) (.f64 -3 (.f64 c (pow.f64 b 4)))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 27) (.f64 b b) (fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27)))
(fma.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 (.f64 b b) 27)) (fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -27))))
(fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (.f64 c (-.f64 (.f64 c (.f64 (.f64 b b) (.f64 (.f64 a a) 27))) (.f64 (pow.f64 b 4) (*.f64 a 9)))))
(fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (.f64 c (fma.f64 c (.f64 (.f64 b b) (.f64 (.f64 a a) 27)) (.f64 (pow.f64 b 4) (.f64 a -9)))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (pow.f64 b 6) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 a (+.f64 (.f64 -6 (.f64 c (pow.f64 b 4))) (.f64 -3 (.f64 c (pow.f64 b 4))))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 27) (.f64 b b) (+.f64 (fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (pow.f64 b 6)) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27)))
(fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (fma.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 (.f64 a a) 27)) (fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (pow.f64 b 6))))
(fma.f64 (pow.f64 b 4) (.f64 c (.f64 a -9)) (fma.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 (.f64 a a) 27)) (fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (pow.f64 b 6))))
(+.f64 (pow.f64 b 6) (fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (.f64 c (fma.f64 c (.f64 (.f64 b b) (.f64 (.f64 a a) 27)) (.f64 (pow.f64 b 4) (.f64 a -9))))))
(.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3)))
(.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27)
(.f64 (pow.f64 a 3) (.f64 (pow.f64 c 3) -27))
(.f64 (pow.f64 c 3) (.f64 (pow.f64 a 3) -27))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (.f64 -27 (*.f64 (pow.f64 c 3) (pow.f64 a 3))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 27) (.f64 b b) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27))
(fma.f64 (.f64 c c) (.f64 (.f64 a a) (.f64 (.f64 b b) 27)) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -27)))
(.f64 (.f64 a a) (+.f64 (.f64 a (.f64 (pow.f64 c 3) -27)) (.f64 (.f64 b b) (.f64 (.f64 c c) 27))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1 (.f64 a (+.f64 (.f64 3 (.f64 c (pow.f64 b 4))) (.f64 6 (*.f64 c (pow.f64 b 4))))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 27) (.f64 b b) (fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27)))
(fma.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 (.f64 b b) 27)) (fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 3) -27))))
(fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (.f64 c (-.f64 (.f64 c (.f64 (.f64 b b) (.f64 (.f64 a a) 27))) (.f64 (pow.f64 b 4) (*.f64 a 9)))))
(fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (.f64 c (fma.f64 c (.f64 (.f64 b b) (.f64 (.f64 a a) 27)) (.f64 (pow.f64 b 4) (.f64 a -9)))))
(+.f64 (.f64 (pow.f64 a 2) (+.f64 (.f64 9 (.f64 (pow.f64 c 2) (pow.f64 b 2))) (.f64 18 (.f64 (pow.f64 c 2) (pow.f64 b 2))))) (+.f64 (pow.f64 b 6) (+.f64 (.f64 -27 (.f64 (pow.f64 c 3) (pow.f64 a 3))) (.f64 -1 (.f64 a (+.f64 (.f64 3 (.f64 c (pow.f64 b 4))) (.f64 6 (*.f64 c (pow.f64 b 4)))))))))
(fma.f64 (.f64 (.f64 (.f64 c c) (.f64 a a)) 27) (.f64 b b) (+.f64 (fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (pow.f64 b 6)) (.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) -27)))
(fma.f64 (pow.f64 b 4) (.f64 (.f64 c a) -9) (fma.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 (.f64 a a) 27)) (fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (pow.f64 b 6))))
(fma.f64 (pow.f64 b 4) (.f64 c (.f64 a -9)) (fma.f64 (.f64 b b) (.f64 (.f64 c c) (.f64 (.f64 a a) 27)) (fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (pow.f64 b 6))))
(+.f64 (pow.f64 b 6) (fma.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) -27 (.f64 c (fma.f64 c (.f64 (.f64 b b) (.f64 (.f64 a a) 27)) (.f64 (pow.f64 b 4) (.f64 a -9))))))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(pow.f64 b 2)
(*.f64 b b)
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(.f64 -3 (.f64 c a))
(.f64 (.f64 c a) -3)
(.f64 c (.f64 a -3))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))
(+.f64 (pow.f64 b 2) (.f64 -3 (.f64 c a)))
(+.f64 (.f64 b b) (.f64 (*.f64 c a) -3))
(fma.f64 (.f64 c a) -3 (.f64 b b))

localize47.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 c (/.f64 (pow.f64 b 3) c))
✓	0.3b	(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a))))
✓	0.4b	(.f64 (pow.f64 c 3) (.f64 a a))
✓	0.4b	(.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (*.f64 a a)))

Compiler

Compiled 125 to 75 computations (40% saved)

series12.0ms (0.1%)

Counts

4 → 120

Calls

30 calls:

Time	Variable		Point	Expression
1.0ms	b	@	0	(.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (*.f64 a a)))
1.0ms	b	@	-inf	(.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (*.f64 a a)))
1.0ms	b	@	-inf	(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a))))
0.0ms	a	@	-inf	(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a))))
0.0ms	a	@	0	(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a))))

rewrite91.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

356×	`prod-diff_binary64`
345×	`expm1-udef_binary64`
345×	`log1p-udef_binary64`
295×	`log-pow_binary64`
200×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	74
1	426	74
2	5277	74

Stop Event

1×	node limit

Counts

4 → 107

Calls

Call 1

Inputs
(.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (*.f64 a a)))
(.f64 (pow.f64 c 3) (.f64 a a))
(fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a))))
(/.f64 c (/.f64 (pow.f64 b 3) c))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -9/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (.f64 (pow.f64 b 5) -16/9))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 b 5) (.f64 -9/16 (.f64 (pow.f64 c 3) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (.f64 a a)))) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (.f64 a a))) 1) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (.f64 a a))) (cbrt.f64 (pow.f64 b 10))) (cbrt.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -9/16 (.f64 (pow.f64 c 3) (.f64 a a))) (pow.f64 b 5/2)) (pow.f64 b 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 9/16 (.f64 (pow.f64 c 3) (.f64 a a))) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (pow.f64 c 3) (.f64 a a)) 9/16) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 c (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 (.f64 -9/16 (pow.f64 b -5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 a (pow.f64 c 3/2)) (/.f64 (sqrt.f64 -9/16) (pow.f64 b 5/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (.f64 (pow.f64 c 6) (pow.f64 a 4)) (/.f64 81/256 (pow.f64 b 10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (.f64 a a)) (.f64 -9/16 (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 -9/16 (pow.f64 b -5)) 3) (pow.f64 (.f64 (pow.f64 c 3) (.f64 a a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 c 3) (.f64 a a)) 3) (pow.f64 (.f64 -9/16 (pow.f64 b -5)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 a a) (.f64 -9/16 (*.f64 (pow.f64 b -5) (pow.f64 c 3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (pow.f64 c 3) (.f64 a a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 c 3) (.f64 a a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (pow.f64 c 3) (.f64 a a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c (pow.f64 (cbrt.f64 a) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (pow.f64 c 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 c 6) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (.f64 a a)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (pow.f64 c 3) (.f64 a a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (pow.f64 c 3) (.f64 a a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 c 3) 3) (pow.f64 (.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 a a) 3) (pow.f64 (pow.f64 c 3) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (pow.f64 c 3) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (pow.f64 c 3) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 3 (log.f64 c) (.f64 2 (log.f64 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 3 (log.f64 c) (*.f64 2 (log.f64 a))) 1))))))
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simplify171.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

657×	`associate-r_binary64`
636×	`associate-l_binary64`
620×	`associate-/r*_binary64`
397×	`fma-def_binary64`
360×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	22	2268
1	60	2268
2	205	2268
3	1119	2241
4	6130	2160
5	6839	2160
6	7400	2160
7	7655	2160
8	7908	2160

Stop Event

1×	node limit

Counts

227 → 116

Calls

Call 1

Inputs
(.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
(.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5)))
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Outputs
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(.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (*.f64 a a)) (pow.f64 b 5)))
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(.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a -3/8)))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)))
(.f64 a (+.f64 (.f64 (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) a) (.f64 -3/8 (/.f64 (*.f64 c c) (pow.f64 b 3)))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)) (/.f64 -3/8 (pow.f64 b 3))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)))
(.f64 a (+.f64 (.f64 (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) a) (.f64 -3/8 (/.f64 (*.f64 c c) (pow.f64 b 3)))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)) (/.f64 -3/8 (pow.f64 b 3))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)))
(.f64 a (+.f64 (.f64 (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) a) (.f64 -3/8 (/.f64 (*.f64 c c) (pow.f64 b 3)))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)) (/.f64 -3/8 (pow.f64 b 3))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c))
(/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) (.f64 a -3/8)))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)))
(.f64 a (+.f64 (.f64 (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) a) (.f64 -3/8 (/.f64 (*.f64 c c) (pow.f64 b 3)))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)) (/.f64 -3/8 (pow.f64 b 3))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)))
(.f64 a (+.f64 (.f64 (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) a) (.f64 -3/8 (/.f64 (*.f64 c c) (pow.f64 b 3)))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)) (/.f64 -3/8 (pow.f64 b 3))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a))))
(+.f64 (.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))) (.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -9/16 (/.f64 (.f64 (pow.f64 c 3) (.f64 a a)) (pow.f64 b 5)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a)) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -9/16 (/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (.f64 a a))) (.f64 -3/8 (*.f64 (/.f64 c (/.f64 (pow.f64 b 3) a)) c)))
(.f64 a (+.f64 (.f64 (.f64 -9/16 (/.f64 (pow.f64 c 3) (pow.f64 b 5))) a) (.f64 -3/8 (/.f64 (*.f64 c c) (pow.f64 b 3)))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)) (/.f64 -3/8 (pow.f64 b 3))))
(.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a))))
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)
(/.f64 (pow.f64 c 2) (pow.f64 b 3))
(/.f64 (*.f64 c c) (pow.f64 b 3))
(/.f64 c (/.f64 (pow.f64 b 3) c))
(*.f64 (/.f64 c (pow.f64 b 3)) c)

eval531.0ms (5.2%)

Compiler: Compiled 21507 to 12949 computations (39.8% saved)

prune190.0ms (1.8%)

Pruning

40 alts after pruning (36 fresh and 4 done)

	Pruned	Kept	Total
New	634	7	641
Fresh	11	29	40
Picked	1	0	1
Done	4	4	8
Total	650	40	690

Error

0.2b

Counts

690 → 40

Alt Table

Click to see full alt table

Status	Error	Program
	51.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/3 a))
	6.6b	(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
	3.3b	(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
	51.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
▶	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
	2.0b	(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)))))
	3.3b	(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
	6.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	3.6b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
	2.4b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -27/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (/.f64 1/3 a))
▶	1.4b	(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 c (pow.f64 b -5)))) (fma.f64 -3/8 (.f64 a (.f64 (/.f64 c (.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a)))
	52.2b	(.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/3 a))
	3.4b	(*.f64 c (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 -1/2 b)))
	52.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (/.f64 1/3 a))))))
	45.2b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	6.6b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
▶	6.2b	(/.f64 (*.f64 -1/2 c) b)
	6.6b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	1.9b	(/.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -3/2 (/.f64 c (/.f64 b a)))))) (.f64 3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
✓	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3)))
	2.1b	(.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
✓	6.4b	(*.f64 (/.f64 -1/2 b) c)
	2.0b	(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))
✓	6.4b	(/.f64 -1/2 (/.f64 b c))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	2.5b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16)))) (.f64 3 a))
	52.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (exp.f64 (log.f64 (.f64 3 (.f64 a c))))))) (.f64 3 a))
▶	60.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
	52.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 b b) 2) (.f64 (pow.f64 (.f64 c a) 2) 9)) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
✓	52.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	3.7b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (.f64 b b)) b))) (.f64 (/.f64 1 a) 1/3))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
	2.5b	(.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (/.f64 1/3 a))
	52.8b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/3 a))

Compiler

Compiled 2034 to 1422 computations (30.1% saved)

localize76.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b))
	0.3b	(/.f64 (pow.f64 c 4) (pow.f64 b 6))
✓	0.4b	(.f64 (.f64 a a) (.f64 (.f64 c c) (*.f64 c (pow.f64 b -5))))
	0.4b	(.f64 (/.f64 c (.f64 b b)) (/.f64 c b))

Compiler

Compiled 236 to 112 computations (52.5% saved)

series29.0ms (0.3%)

Counts

2 → 72

Calls

18 calls:

Time	Variable		Point	Expression
19.0ms	c	@	0	(.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b))
2.0ms	a	@	0	(.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b))
2.0ms	b	@	0	(.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b))
1.0ms	c	@	inf	(.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b))
1.0ms	b	@	inf	(.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b))

rewrite84.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

379×	`expm1-udef_binary64`
379×	`log1p-udef_binary64`
329×	`log-pow_binary64`
226×	`add-sqr-sqrt_binary64`
219×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	41
1	485	38
2	5880	38

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(.f64 (.f64 a a) (.f64 (.f64 c c) (*.f64 c (pow.f64 b -5))))
(.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (*.f64 c (cbrt.f64 (pow.f64 b -5)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (*.f64 c (*.f64 (sqrt.f64 c) (pow.f64 b -5/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 a 4) (*.f64 (pow.f64 c 6) (pow.f64 b -10))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (*.f64 (pow.f64 b -5) (pow.f64 c 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 a 6) (pow.f64 (*.f64 (pow.f64 b -5) (pow.f64 c 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 b -5) (pow.f64 c 3)) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a (*.f64 (*.f64 a (pow.f64 c 3)) (pow.f64 b -5)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 b (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 b -6)) (*.f64 405/64 (pow.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 c 4) 405/64) (*.f64 (/.f64 b (pow.f64 a 3)) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 b -6)) (*.f64 405/64 (pow.f64 a 3))) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 405/64 (/.f64 (pow.f64 a 3) b)) (/.f64 (pow.f64 b 6) (pow.f64 c 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 b -6)) (*.f64 405/64 (pow.f64 a 3)))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 c 4) 405/64) (pow.f64 a 3)) (*.f64 (pow.f64 b 6) b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 c 4) 405/64) 1) (*.f64 (pow.f64 b 6) (/.f64 b (pow.f64 a 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 c 4) 405/64) (neg.f64 (pow.f64 a 3))) (*.f64 (pow.f64 b 6) (neg.f64 b)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 a 3) (*.f64 (pow.f64 c 4) 405/64)) (*.f64 b (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 a 3)) (*.f64 (pow.f64 c 4) 405/64)) (*.f64 (neg.f64 b) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 b -6)) (*.f64 405/64 (pow.f64 a 3))) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 b -6)) (*.f64 405/64 (pow.f64 a 3))) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c 4) (pow.f64 b -6)) (*.f64 405/64 (pow.f64 a 3))) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 c 4) (*.f64 405/64 (/.f64 (pow.f64 a 3) b))) (pow.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 c 4)) (*.f64 405/64 (/.f64 (pow.f64 a 3) b))) (neg.f64 (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 c 4) 405/64) (/.f64 (pow.f64 a 3) b)) (pow.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 a 3)) (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (neg.f64 (pow.f64 a 3))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 (pow.f64 a 3) b) (*.f64 (pow.f64 c 4) 405/64)) (pow.f64 b 6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 a (cbrt.f64 b)) (cbrt.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) (sqrt.f64 (*.f64 405/64 (/.f64 (pow.f64 a 3) b)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (pow.f64 a 6) (*.f64 b b)) (*.f64 164025/4096 (/.f64 (pow.f64 c 8) (pow.f64 b 12)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 (pow.f64 a 3) b)) (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) 3) (pow.f64 (/.f64 (pow.f64 a 3) b) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 (pow.f64 a 3) b) 3) (pow.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (pow.f64 c 4) (*.f64 (pow.f64 b -6) 405/64)) (/.f64 (pow.f64 a 3) b))) 1))))))

simplify192.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

761×	`sqr-pow_binary64`
616×	`associate-l_binary64`
608×	`associate-r_binary64`
581×	`associate-/r*_binary64`
315×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	1260
1	58	1260
2	192	1260
3	1032	1260
4	5536	1260
5	5625	1260
6	5816	1260
7	6112	1260
8	6393	1260
9	6721	1260
10	7126	1260
11	7639	1260

Stop Event

1×	node limit

Counts

122 → 54

Calls

Call 1

Inputs
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))

Outputs
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
(.f64 a (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 b 5)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
(/.f64 (*.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))
(.f64 a (/.f64 (.f64 (pow.f64 c 3) a) (pow.f64 b 5)))
(/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 2)) (pow.f64 b 5))
(/.f64 (pow.f64 c 3) (/.f64 (pow.f64 b 5) (*.f64 a a)))
(.f64 (/.f64 (pow.f64 c 3) (pow.f64 b 5)) (.f64 a a))
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(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))
(.f64 405/64 (/.f64 (.f64 (pow.f64 c 4) (pow.f64 a 3)) (pow.f64 b 7)))
(*.f64 405/64 (/.f64 (pow.f64 c 4) (/.f64 (pow.f64 b 7) (pow.f64 a 3))))
(.f64 405/64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 7)) (pow.f64 a 3)))
(.f64 (/.f64 405/64 (pow.f64 b 7)) (.f64 (pow.f64 c 4) (pow.f64 a 3)))
(.f64 (/.f64 (.f64 405/64 (pow.f64 a 3)) (pow.f64 b 7)) (pow.f64 c 4))

localize6.0ms (0.1%)

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

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (.f64 b b)) b))) (.f64 (/.f64 1 a) 1/3))
✓	0.3b	(.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))
	0.3b	(*.f64 (/.f64 1 a) 1/3)
✓	0.4b	(/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b))

Compiler

Compiled 125 to 51 computations (59.2% saved)

series9.0ms (0.1%)

Counts

3 → 96

Calls

24 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b))
1.0ms	c	@	inf	(/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b))
1.0ms	b	@	0	(/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b))
1.0ms	b	@	inf	(/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b))
0.0ms	b	@	-inf	(/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b))

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

381×	`expm1-udef_binary64`
381×	`log1p-udef_binary64`
336×	`prod-diff_binary64`
222×	`add-sqr-sqrt_binary64`
213×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	21	73
1	453	66
2	6149	66

Stop Event

1×	node limit

Counts

3 → 93

Calls

Call 1

Inputs

(/.f64 (*.f64 -9/8 (*.f64 c c)) (*.f64 b b))

(*.f64 (*.f64 a a) (/.f64 (/.f64 (*.f64 -9/8 (*.f64 c c)) (*.f64 b b)) b))

(*.f64 (fma.f64 -3/2 (*.f64 (/.f64 a b) c) (*.f64 (*.f64 a a) (/.f64 (/.f64 (*.f64 -9/8 (*.f64 c c)) (*.f64 b b)) b))) (*.f64 (/.f64 1 a) 1/3))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/8 (/.f64 (*.f64 c c) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/8 (/.f64 1 (*.f64 (/.f64 b c) (/.f64 b c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -9/8 (*.f64 (*.f64 c c) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 c c) (*.f64 -9/8 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2)) (cbrt.f64 (/.f64 (*.f64 81/64 (pow.f64 c 4)) (pow.f64 b 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 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(#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9/8 (/.f64 c (/.f64 b c))) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -9/8 c) (*.f64 c (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c c) 1) (/.f64 -9/8 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 81/64 (pow.f64 c 4))) 1) (/.f64 (cbrt.f64 (*.f64 -9/8 (*.f64 c c))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) 1) (/.f64 (*.f64 c (sqrt.f64 -9/8)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/8 c) 1) (/.f64 c (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 81/64 (pow.f64 c 4))) b) (/.f64 (cbrt.f64 (*.f64 -9/8 (*.f64 c c))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/8 c) b) (/.f64 c b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/8 (*.f64 b b)) (*.f64 c c))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -9/8 (cbrt.f64 (pow.f64 b 4))) (/.f64 (*.f64 c c) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c c) (cbrt.f64 (pow.f64 b 4))) (/.f64 -9/8 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 b 4))) (/.f64 (*.f64 -9/8 (*.f64 c c)) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 81/64 (pow.f64 c 4))) (cbrt.f64 (pow.f64 b 4))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) (cbrt.f64 (pow.f64 b 4))) (/.f64 (*.f64 c (sqrt.f64 -9/8)) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -9/8 c) (cbrt.f64 (pow.f64 b 4))) (/.f64 c (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 b (*.f64 c c)) (/.f64 b -9/8)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -9/8 (*.f64 c c)) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 (*.f64 81/64 (pow.f64 c 4)) (pow.f64 b 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) 3))))) (#(struct:change #<rule 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 a a) (/.f64 b (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 b (*.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) (*.f64 a a)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) (*.f64 a a))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) (*.f64 a a)) 1) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) (*.f64 a a)) (pow.f64 (cbrt.f64 b) 2)) (cbrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (/.f64 (*.f64 c (sqrt.f64 -9/8)) b) 2) (*.f64 a a)) (sqrt.f64 b)) (sqrt.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 -9/8 (*.f64 c c)) (*.f64 a a)) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 (*.f64 c c) 9/8) (pow.f64 b -2)) (*.f64 a a)) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (*.f64 -9/8 (*.f64 c c))) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 a a) (*.f64 (*.f64 (*.f64 c c) 9/8) (pow.f64 b -2))) (neg.f64 b))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (cbrt.f64 a) 2) (/.f64 (cbrt.f64 (*.f64 -9/8 (*.f64 c c))) b)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a (/.f64 (*.f64 c (sqrt.f64 -9/8)) (sqrt.f64 (pow.f64 b 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (/.f64 (*.f64 81/64 (pow.f64 c 4)) (pow.f64 (*.f64 b b) 3)) (pow.f64 a 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 a) a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 a a) 3) (pow.f64 (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))) 3) (pow.f64 (*.f64 a a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -3/2 (*.f64 c (/.f64 a b))) (/.f64 1/3 a)) (*.f64 (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (/.f64 1/3 a) (*.f64 -3/2 (*.f64 c (/.f64 a b)))) (*.f64 (/.f64 1/3 a) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/3 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))))) a)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) 1/3) a)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 1/3 a)) (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) 3) (pow.f64 (/.f64 1/3 a) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1/3 a) 3) (pow.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 -3/2 (*.f64 c (/.f64 a b)) (*.f64 (*.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))) (/.f64 1/3 a))) 1))))))

simplify82.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

887×	`unswap-sqr_binary64`
753×	`associate-/r*_binary64`
656×	`associate-r_binary64`
630×	`associate-*l/_binary64`
607×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	1725
1	62	1725
2	210	1725
3	1178	1725
4	7189	1725

Stop Event

1×	node limit

Counts

189 → 103

Calls

Call 1

Inputs
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3)))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(*.f64 -1/2 (/.f64 c b))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))

Outputs
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(.f64 -9/8 (/.f64 (.f64 c c) (*.f64 b b)))
(.f64 -9/8 (.f64 (/.f64 c b) (/.f64 c b)))
(.f64 (/.f64 c (.f64 b b)) (*.f64 -9/8 c))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(.f64 -9/8 (/.f64 (.f64 c c) (*.f64 b b)))
(.f64 -9/8 (.f64 (/.f64 c b) (/.f64 c b)))
(.f64 (/.f64 c (.f64 b b)) (*.f64 -9/8 c))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(.f64 -9/8 (/.f64 (.f64 c c) (*.f64 b b)))
(.f64 -9/8 (.f64 (/.f64 c b) (/.f64 c b)))
(.f64 (/.f64 c (.f64 b b)) (*.f64 -9/8 c))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(.f64 -9/8 (/.f64 (.f64 c c) (*.f64 b b)))
(.f64 -9/8 (.f64 (/.f64 c b) (/.f64 c b)))
(.f64 (/.f64 c (.f64 b b)) (*.f64 -9/8 c))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(.f64 (/.f64 c (.f64 b b)) (*.f64 -9/8 c))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(.f64 -9/8 (/.f64 (.f64 c c) (*.f64 b b)))
(.f64 -9/8 (.f64 (/.f64 c b) (/.f64 c b)))
(.f64 (/.f64 c (.f64 b b)) (*.f64 -9/8 c))
(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
(.f64 -9/8 (/.f64 (.f64 c c) (*.f64 b b)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(*.f64 -9/8 (/.f64 (pow.f64 c 2) (pow.f64 b 2)))
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(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (*.f64 c -1/2) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (/.f64 (pow.f64 b 3) a) (*.f64 c c))))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (*.f64 c -1/2) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (/.f64 (pow.f64 b 3) a) (*.f64 c c))))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (*.f64 c -1/2) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (/.f64 (pow.f64 b 3) a) (*.f64 c c))))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 c (/.f64 -1/2 b)))
(.f64 -3/8 (/.f64 (.f64 (pow.f64 c 2) a) (pow.f64 b 3)))
(.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a)))
(.f64 -3/8 (.f64 (/.f64 (*.f64 c c) (pow.f64 b 3)) a))
(/.f64 -3/8 (/.f64 (/.f64 (pow.f64 b 3) a) (*.f64 c c)))
(.f64 a (.f64 -3/8 (/.f64 (*.f64 c c) (pow.f64 b 3))))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (*.f64 c -1/2) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (/.f64 (pow.f64 b 3) a) (*.f64 c c))))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (*.f64 c -1/2) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (/.f64 (pow.f64 b 3) a) (*.f64 c c))))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 c (/.f64 -1/2 b)))
(+.f64 (.f64 -1/2 (/.f64 c b)) (.f64 -3/8 (/.f64 (*.f64 (pow.f64 c 2) a) (pow.f64 b 3))))
(fma.f64 -1/2 (/.f64 c b) (.f64 -3/8 (/.f64 (.f64 c c) (/.f64 (pow.f64 b 3) a))))
(fma.f64 -3/8 (.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) a) (/.f64 (*.f64 c -1/2) b))
(fma.f64 -1/2 (/.f64 c b) (/.f64 -3/8 (/.f64 (/.f64 (pow.f64 b 3) a) (*.f64 c c))))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (*.f64 c (/.f64 -1/2 b)))

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 c (.f64 a -3))
	0.4b	(/.f64 1/3 a)
✓	22.9b	(log.f64 (exp.f64 (/.f64 1/3 a)))
	26.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 73 to 45 computations (38.4% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
2.0ms	a	@	-inf	(log.f64 (exp.f64 (/.f64 1/3 a)))
0.0ms	a	@	0	(log.f64 (exp.f64 (/.f64 1/3 a)))
0.0ms	a	@	inf	(log.f64 (exp.f64 (/.f64 1/3 a)))

rewrite50.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

469×	`pow1_binary64`
458×	`add-sqr-sqrt_binary64`
446×	`*-un-lft-identity_binary64`
437×	`add-log-exp_binary64`
437×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	4
1	110	4
2	1208	4

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

Inputs
(log.f64 (exp.f64 (/.f64 1/3 a)))

Outputs

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	48

Stop Event

1×

saturated

Counts

42 → 30

Calls

Call 1

Inputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

Outputs
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)
(/.f64 1/3 a)

localize41.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(/.f64 1/3 a)
✓	0.5b	(pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2)
✓	0.5b	(cbrt.f64 (/.f64 1/3 a))
	26.6b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 92 to 61 computations (33.7% saved)

series5.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

597×	`pow1_binary64`
559×	`add-log-exp_binary64`
559×	`log1p-expm1-u_binary64`
559×	`expm1-log1p-u_binary64`
547×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	149	15
2	1604	15

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

Inputs
(cbrt.f64 (/.f64 1/3 a))
(pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2)

Outputs

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

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

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

47 → 47

Calls

Call 1

Inputs

Outputs

eval793.0ms (7.7%)

Compiler: Compiled 24201 to 14860 computations (38.6% saved)

prune259.0ms (2.5%)

Pruning

44 alts after pruning (36 fresh and 8 done)

	Pruned	Kept	Total
New	710	9	719
Fresh	4	27	31
Picked	0	1	1
Done	1	7	8
Total	715	44	759

Error

0.2b

Counts

759 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	51.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (neg.f64 b)) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
	6.6b	(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
	51.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/3 a))
	3.3b	(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
	51.5b	(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
✓	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
	2.0b	(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)))))
	6.7b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	2.4b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -27/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (/.f64 1/3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a)))
	52.2b	(.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/3 a))
	52.8b	(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
	3.4b	(*.f64 c (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 -1/2 b)))
	52.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (/.f64 1/3 a))))))
	45.2b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	6.6b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
✓	6.2b	(/.f64 (*.f64 -1/2 c) b)
	1.4b	(fma.f64 -1/6 (.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 c c) (pow.f64 b -6))) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 c (pow.f64 b -5)))) (fma.f64 -3/8 (.f64 a (.f64 (/.f64 c (.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 1/3 a))))) (cbrt.f64 (/.f64 1/3 a))))
	6.6b	(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
	1.9b	(/.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -3/2 (/.f64 c (/.f64 b a)))))) (.f64 3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
✓	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	3.6b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 a 3))) 2) (cbrt.f64 (/.f64 1/3 a))))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3)))
	2.0b	(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))
✓	6.4b	(*.f64 (/.f64 -1/2 b) c)
✓	6.4b	(/.f64 -1/2 (/.f64 b c))
	52.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	2.5b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16)))) (.f64 3 a))
	52.6b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (exp.f64 (log.f64 (.f64 3 (.f64 a c))))))) (.f64 3 a))
✓	60.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
	2.7b	(.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (.f64 (/.f64 a b) c) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -27/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
	52.4b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 b b) 2) (.f64 (pow.f64 (.f64 c a) 2) 9)) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
✓	52.5b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	3.7b	(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (.f64 b b)) b))) (.f64 (/.f64 1 a) 1/3))
	55.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1))))
	2.5b	(.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (/.f64 1/3 a))
	3.7b	(+.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 (.f64 c (/.f64 a b)))) (.f64 (/.f64 1/3 a) (.f64 (.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))

Compiler

Compiled 1175 to 818 computations (30.4% saved)

regimes306.0ms (3%)

Counts

74 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 c (/.f64 b -1/2))
(*.f64 (/.f64 -1/2 b) c)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (.f64 b b)) b))) (.f64 (/.f64 1 a) 1/3))
(+.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 (.f64 c (/.f64 a b)))) (.f64 (/.f64 1/3 a) (.f64 (.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))
(*.f64 c (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 -1/2 b)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (.f64 a a)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (exp.f64 (log.f64 (.f64 3 (.f64 a c))))))) (.f64 3 a))
(/.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))) (*.f64 3 a))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)))))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (*.f64 a 3) -1))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 b b) 2) (.f64 (pow.f64 (.f64 c a) 2) 9)) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 b (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (.f64 c (.f64 a -3))))) (*.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (/.f64 1/3 a))))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 a 3))) 2) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/3 a))
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a)))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 1/3 a))))) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3)))
(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -27/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (/.f64 1/3 a))
(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16)))) (.f64 3 a))
(.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (/.f64 1/3 a))
(fma.f64 -1/6 (.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 c c) (pow.f64 b -6))) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 c (pow.f64 b -5)))) (fma.f64 -3/8 (.f64 a (.f64 (/.f64 c (.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1))))
(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 c (pow.f64 b -5)))) (fma.f64 -3/8 (.f64 a (.f64 (/.f64 c (.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))
(.f64 (fma.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (.f64 b b))) 2)) (sqrt.f64 (cbrt.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)))) (neg.f64 b)) (/.f64 1/3 a))
(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (neg.f64 b)) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (.f64 a (.f64 (/.f64 c (*.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))
(fma.f64 -1/6 (.f64 (.f64 (/.f64 (pow.f64 c 4) (pow.f64 b 6)) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))))
(/.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (fma.f64 -27/16 (.f64 (pow.f64 a 3) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (.f64 -3/2 (/.f64 c (/.f64 b a)))))) (.f64 3 a))
(/.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16))))) (.f64 3 a))
(/.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) (.f64 3 a))
(.f64 (fma.f64 -1/2 (/.f64 (.f64 (.f64 (pow.f64 c 4) (pow.f64 a 4)) 405/64) (pow.f64 b 7)) (fma.f64 -3/2 (.f64 (/.f64 a b) c) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -27/16 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 c 3) (pow.f64 a 3))))))) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (+.f64 (.f64 -1/2 (/.f64 (+.f64 (pow.f64 (.f64 -9/8 (.f64 (pow.f64 c 2) (pow.f64 a 2))) 2) (.f64 81/16 (.f64 (pow.f64 c 4) (pow.f64 a 4)))) (pow.f64 b 7))) (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5)))))) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))

Outputs

(fma.f64 -1/6 (*.f64 (*.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 c c) (pow.f64 b -6))) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 b -5)))) (fma.f64 -3/8 (*.f64 a (*.f64 (/.f64 c (*.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))

Calls

6 calls:

77.0ms	a
46.0ms	b
43.0ms	(*.f64 3 a)
35.0ms	c
35.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
1.4b	1	`a`
1.4b	1	`b`
1.4b	1	`c`
1.4b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
1.4b	1	`(*.f64 3 a)`
1.4b	1	`(*.f64 3 a)`

Compiler

Compiled 1942 to 1177 computations (39.4% saved)

regimes301.0ms (2.9%)

Counts

61 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 c (/.f64 b -1/2))
(*.f64 (/.f64 -1/2 b) c)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (.f64 b b)) b))) (.f64 (/.f64 1 a) 1/3))
(+.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 (.f64 c (/.f64 a b)))) (.f64 (/.f64 1/3 a) (.f64 (.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))
(*.f64 c (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 -1/2 b)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (.f64 a a)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (exp.f64 (log.f64 (.f64 3 (.f64 a c))))))) (.f64 3 a))
(/.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))) (*.f64 3 a))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)))))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (*.f64 a 3) -1))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 b b) 2) (.f64 (pow.f64 (.f64 c a) 2) 9)) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 b (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (.f64 c (.f64 a -3))))) (*.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (cbrt.f64 (exp.f64 (.f64 3 (log.f64 (/.f64 1/3 a))))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (/.f64 1 (cbrt.f64 (*.f64 a 3))) 2) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (fma.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (pow.f64 (fma.f64 c (.f64 a -3) (*.f64 b b)) 1/4) (neg.f64 b)) (/.f64 1/3 a))
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2))))
(fma.f64 -1/2 (/.f64 c b) (fma.f64 -3/8 (.f64 a (/.f64 c (/.f64 (pow.f64 b 3) c))) (.f64 (/.f64 -9/16 (pow.f64 b 5)) (.f64 (pow.f64 c 3) (.f64 a a)))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 1/3 a))))) (cbrt.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3) (pow.f64 (pow.f64 (/.f64 1/3 a) 3/2) 1/3)))
(.f64 (.f64 (+.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b)) (-.f64 (pow.f64 (fma.f64 c (.f64 a -3) (.f64 b b)) 1/4) (sqrt.f64 b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 c (/.f64 (pow.f64 b 3) c))) (/.f64 -27/16 (/.f64 (pow.f64 b 5) (*.f64 (pow.f64 c 3) (pow.f64 a 3)))))) (/.f64 1/3 a))
(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (fma.f64 -9/8 (.f64 (.f64 a a) (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 (.f64 (pow.f64 c 3) (pow.f64 a 3)) (/.f64 (pow.f64 b 5) -27/16)))) (.f64 3 a))
(.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (+.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (.f64 -27/16 (/.f64 (*.f64 (pow.f64 c 3) (pow.f64 a 3)) (pow.f64 b 5))))) (/.f64 1/3 a))

Outputs
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))

Calls

6 calls:

68.0ms	a
55.0ms	b
49.0ms	(*.f64 3 a)
39.0ms	(*.f64 3 a)
33.0ms	c

Results

Error	Segments	Branch
2.0b	1	`a`
2.0b	1	`b`
2.0b	1	`c`
2.0b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
2.0b	1	`(*.f64 3 a)`
2.0b	1	`(*.f64 3 a)`

Compiler

Compiled 1322 to 785 computations (40.6% saved)

regimes327.0ms (3.2%)

Counts

45 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 c (/.f64 b -1/2))
(*.f64 (/.f64 -1/2 b) c)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (.f64 b b)) b))) (.f64 (/.f64 1 a) 1/3))
(+.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 (.f64 c (/.f64 a b)))) (.f64 (/.f64 1/3 a) (.f64 (.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))
(*.f64 c (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 -1/2 b)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (.f64 a a)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (exp.f64 (log.f64 (.f64 3 (.f64 a c))))))) (.f64 3 a))
(/.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))) (*.f64 3 a))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)))))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (*.f64 a 3) -1))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 (.f64 b b) 2) (.f64 (pow.f64 (.f64 c a) 2) 9)) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (cbrt.f64 (pow.f64 (/.f64 1/3 a) 3)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (/.f64 1/27 (pow.f64 a 3)) 1/3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 1/3 (sqrt.f64 a)) (sqrt.f64 a)))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (cbrt.f64 (pow.f64 (fma.f64 b b (.f64 c (.f64 a -3))) 3)))) (*.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (.f64 b (cbrt.f64 (.f64 b b))) (cbrt.f64 b) (.f64 c (.f64 a -3))))) (*.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (exp.f64 (log.f64 (/.f64 1/3 a))))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3))

Outputs
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)))))

Calls

6 calls:

161.0ms	b
42.0ms	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
31.0ms	a
25.0ms	c
23.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
2.0b	1	`a`
2.0b	1	`b`
2.0b	1	`c`
2.0b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
2.0b	1	`(*.f64 3 a)`
2.0b	1	`(*.f64 3 a)`

Compiler

Compiled 877 to 507 computations (42.2% saved)

regimes99.0ms (1%)

Counts

24 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 c (/.f64 b -1/2))
(*.f64 (/.f64 -1/2 b) c)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (.f64 b b)) b))) (.f64 (/.f64 1 a) 1/3))
(+.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 (.f64 c (/.f64 a b)))) (.f64 (/.f64 1/3 a) (.f64 (.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))
(*.f64 c (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 -1/2 b)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (.f64 a a)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c c)))) (*.f64 (/.f64 1 a) 1/3))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (exp.f64 (log.f64 (.f64 3 (.f64 a c))))))) (.f64 3 a))
(/.f64 (+.f64 (.f64 -9/8 (/.f64 (.f64 (pow.f64 c 2) (pow.f64 a 2)) (pow.f64 b 3))) (.f64 -3/2 (/.f64 (.f64 c a) b))) (*.f64 3 a))

Outputs
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))

Calls

6 calls:

24.0ms	a
17.0ms	(*.f64 3 a)
14.0ms	c
12.0ms	(*.f64 3 a)
12.0ms	b

Results

Error	Segments	Branch
3.3b	1	`a`
3.3b	1	`b`
3.3b	1	`c`
3.3b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
3.3b	1	`(*.f64 3 a)`
3.3b	1	`(*.f64 3 a)`

Compiler

Compiled 432 to 243 computations (43.8% saved)

regimes83.0ms (0.8%)

Counts

18 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 c (/.f64 b -1/2))
(*.f64 (/.f64 -1/2 b) c)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (*.f64 b b)) b))) (/.f64 1/3 a))
(.f64 (fma.f64 -3/2 (.f64 (/.f64 a b) c) (.f64 (.f64 a a) (/.f64 (/.f64 (.f64 -9/8 (.f64 c c)) (.f64 b b)) b))) (.f64 (/.f64 1 a) 1/3))
(+.f64 (.f64 (/.f64 1/3 a) (.f64 -3/2 (.f64 c (/.f64 a b)))) (.f64 (/.f64 1/3 a) (.f64 (.f64 a a) (/.f64 -9/8 (/.f64 (pow.f64 b 3) (*.f64 c c))))))
(*.f64 c (fma.f64 -3/8 (/.f64 c (/.f64 (pow.f64 b 3) a)) (/.f64 -1/2 b)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

Outputs
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))

Calls

6 calls:

19.0ms	(*.f64 3 a)
17.0ms	(*.f64 3 a)
11.0ms	c
9.0ms	a
9.0ms	b

Results

Error	Segments	Branch
3.3b	1	`a`
3.3b	1	`b`
3.3b	1	`c`
3.3b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
3.3b	1	`(*.f64 3 a)`
3.3b	1	`(*.f64 3 a)`

Compiler

Compiled 298 to 172 computations (42.3% saved)

regimes21.0ms (0.2%)

Accuracy

Total -39.1b remaining (-627.5%)

Threshold costs -39.1b (-627.5%)

Counts

10 → 1

Calls

Call 1

Inputs
(/.f64 (*.f64 -1/2 c) b)
(/.f64 -1/2 (/.f64 b c))
(/.f64 c (/.f64 b -1/2))
(*.f64 (/.f64 -1/2 b) c)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
(.f64 (.f64 -3/2 (/.f64 (*.f64 c a) b)) (/.f64 1/3 a))

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

Calls

3 calls:

7.0ms	b
6.0ms	c
6.0ms	a

Results

Error	Segments	Branch
6.2b	1	`a`
6.2b	1	`b`
6.2b	1	`c`

Compiler

Compiled 97 to 63 computations (35.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

19×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	64	212
1	84	212

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 -1/6 (.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 c c) (pow.f64 b -6))) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 c (pow.f64 b -5)))) (fma.f64 -3/8 (.f64 a (.f64 (/.f64 c (.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)))))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(/.f64 (*.f64 -1/2 c) b)

Outputs
(fma.f64 -1/6 (.f64 (.f64 (.f64 (.f64 c c) (.f64 (.f64 c c) (pow.f64 b -6))) 405/64) (/.f64 (pow.f64 a 3) b)) (fma.f64 -9/16 (.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 c (pow.f64 b -5)))) (fma.f64 -3/8 (.f64 a (.f64 (/.f64 c (.f64 b b)) (/.f64 c b))) (/.f64 c (/.f64 b -1/2)))))
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 a (.f64 c c)) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))
(fma.f64 -9/16 (.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5))) (fma.f64 -3/8 (/.f64 (/.f64 (.f64 (.f64 c c) a) (*.f64 b b)) b) (/.f64 c (/.f64 b -1/2))))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 -9/16 c) (/.f64 (pow.f64 b 5) a)))))
(fma.f64 -1/2 (/.f64 c b) (.f64 (.f64 c (.f64 c a)) (+.f64 (/.f64 -3/8 (pow.f64 b 3)) (/.f64 (.f64 c -9/16) (/.f64 (pow.f64 b 5) a)))))
(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
(.f64 (/.f64 c b) (fma.f64 (/.f64 -3/8 b) (.f64 a (/.f64 c b)) -1/2))
(/.f64 (*.f64 -1/2 c) b)
(/.f64 (*.f64 c -1/2) b)

Compiler

Compiled 164 to 105 computations (36% saved)

soundness157.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

968×	`times-frac_binary64`
729×	`fma-def_binary64`
630×	`associate-/l*_binary64`
556×	`associate-/r*_binary64`
422×	`associate-*l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	171	2065
1	509	1986
2	1896	1904

Stop Event

1×	node limit

Compiler

Compiled 1599 to 1204 computations (24.7% saved)

end126.0ms (1.2%)

Compiler: Compiled 149 to 84 computations (43.6% saved)