Details

analyze156.0ms (1.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
0%	0%	0%	100%	0%	0%	0%	1
0%	0%	0%	100%	0%	0%	0%	2
0%	0%	0%	100%	0%	0%	0%	3
0%	0%	0%	100%	0%	0%	0%	4
7.1%	0%	0%	100%	0%	0%	0%	5
20.8%	0%	0%	100%	0%	0%	0%	6
29.5%	0%	0%	100%	0%	0%	0%	7
37.5%	0%	0%	100%	0%	0%	0%	8
50.6%	0%	0%	100%	0%	0%	0%	9
58.2%	0%	0%	100%	0%	0%	0%	10
63.3%	0%	0%	100%	0%	0%	0%	11
72.3%	0%	0%	100%	0%	0%	0%	12

Compiler

Compiled 43 to 31 computations (27.9% saved)

sample1.8s (16.1%)

Results

1.2s	6781×	body	256	valid
460.0ms	1475×	body	512	valid
187.0ms	1145×	body	256	invalid

Bogosity

preprocess85.0ms (0.7%)

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)

simplify126.0ms (1.1%)

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))

eval2.0ms (0%)

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

prune3.0ms (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

53.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
▶	53.0b	(.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)

localize55.0ms (0.5%)

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))
✓	0.3b	(/.f64 1/3 a)
✓	27.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 62 to 36 computations (41.9% saved)

series46.0ms (0.4%)

Counts

4 → 64

Calls

27 calls:

Time	Variable		Point	Expression
4.0ms	b	@	0	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
4.0ms	b	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
3.0ms	b	@	-inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
3.0ms	c	@	inf	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
2.0ms	a	@	inf	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))

rewrite141.0ms (1.2%)

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 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-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)))))))

simplify102.0ms (0.9%)

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

localize62.0ms (0.5%)

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)
✓	27.0b	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))

Compiler

Compiled 69 to 35 computations (49.3% saved)

series36.0ms (0.3%)

Counts

4 → 100

Calls

33 calls:

Time	Variable		Point	Expression
11.0ms	c	@	inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))))
1.0ms	c	@	-inf	(+.f64 (neg.f64 b) (sqrt.f64 (-.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	b	@	0	(-.f64 (.f64 b b) (.f64 (*.f64 3 a) c))

rewrite197.0ms (1.7%)

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
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c))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 b 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (/.f64 1 (fma.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c))) (pow.f64 b 4))) (.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 6) (.f64 27 (pow.f64 (.f64 a c) 3))) (/.f64 1 (fma.f64 (.f64 3 (.f64 a c)) (fma.f64 b b (.f64 3 (.f64 a c))) (pow.f64 b 4))) (+.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 -1 (.f64 b b) (.f64 c (.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 b b) (.f64 (.f64 c (.f64 a -3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (.f64 b 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 -1 (.f64 b 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 -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 (0.6%)

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)))))
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(+.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))
(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))

eval327.0ms (2.9%)

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

prune146.0ms (1.3%)

Pruning

32 alts after pruning (30 fresh and 2 done)

	Pruned	Kept	Total
New	591	30	621
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	591	32	623

Error

0.2b

Counts

623 → 32

Alt Table

Click to see full alt table

Status	Error	Program
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	52.2b	(.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))
✓	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.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))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	2.4b	(/.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 3 a))
	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (-.f64 (exp.f64 (log1p.f64 (/.f64 1/3 a))) 1))
	52.9b	(.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))
	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))))
	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))
	3.4b	(/.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))
	60.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (log.f64 (exp.f64 (/.f64 1/3 a))))
▶	1.5b	(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))))))
	6.1b	(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
	60.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (+.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 a))) (cbrt.f64 (exp.f64 (/.f64 1/3 a))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1/3 a))))))
	53.3b	(.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))
	2.9b	(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
	6.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 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)))))
	3.4b	(.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 1/3 a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2))
	5.7b	(/.f64 c (/.f64 b -1/2))
	6.1b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
	53.0b	(.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))
	52.1b	(.f64 (fma.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)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/3 a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	53.0b	(.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 1/3 a))))
▶	3.4b	(/.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))
▶	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
▶	5.9b	(*.f64 (/.f64 -1/2 b) c)

Compiler

Compiled 1630 to 1140 computations (30.1% saved)

localize82.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (pow.f64 c 3) (pow.f64 b 5))
✓	0.3b	(*.f64 (pow.f64 c 4) (pow.f64 a 4))
✓	0.3b	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
✓	0.4b	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))

Compiler

Compiled 224 to 140 computations (37.5% saved)

series25.0ms (0.2%)

Counts

4 → 72

Calls

30 calls:

Time	Variable		Expression
4.0ms	a	@	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
2.0ms	a	@	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
2.0ms	b	@	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
1.0ms	c	@	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
1.0ms	c	@	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))

rewrite89.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

367×	`pow1/3_binary64`
359×	`expm1-udef_binary64`
359×	`log1p-udef_binary64`
323×	`pow3_binary64`
322×	`log-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	49
1	467	49
2	5532	49

Stop Event

1×	node limit

Counts

4 → 114

Calls

Call 1

Inputs
(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(/.f64 (pow.f64 c 3) (pow.f64 b 5))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -3/8 (/.f64 (pow.f64 b 3) (.f64 c (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 c (.f64 c a)) (.f64 (pow.f64 b 3) -8/3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 b 3) (.f64 -3/8 (.f64 c (.f64 c a)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 -3/8 (.f64 c (.f64 c a)))) (neg.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) b) (.f64 b b))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) 1) (pow.f64 b 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b)) b)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (pow.f64 b 3/2)) (pow.f64 b 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 3/8 (.f64 c (.f64 c a))) (neg.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 c (.f64 c a)) 3/8) (neg.f64 (pow.f64 b 3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (.f64 -3/8 (.f64 c (.f64 c a)))) b) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (/.f64 (sqrt.f64 -3/8) (pow.f64 b 3/2)) (.f64 c (sqrt.f64 a))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 -3/8 (pow.f64 b -3)) 3) (pow.f64 (.f64 c (.f64 c a)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 c (.f64 c a)) 3) (pow.f64 (.f64 -3/8 (pow.f64 b -3)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 3) (.f64 -3/8 (.f64 c (.f64 c a)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (/.f64 9/64 (pow.f64 b 6)) (.f64 (pow.f64 c 4) (.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 -3/8) (pow.f64 b -3)) (.f64 c (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 -3/8 (pow.f64 b -3)) 3) (pow.f64 (.f64 c (.f64 c a)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 c (.f64 c a)) 3) (pow.f64 (.f64 -3/8 (pow.f64 b -3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -3/8 (/.f64 (.f64 c (.f64 c a)) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -3/8 (/.f64 (.f64 c (*.f64 c a)) (pow.f64 b 3)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a a) (/.f64 (pow.f64 b 5) (pow.f64 c 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (.f64 c a) 2) c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 (pow.f64 (.f64 c a) 2) c)) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 2) c) 1) (pow.f64 b 5))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (cbrt.f64 (pow.f64 b 10))) (cbrt.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b 5/2)) (pow.f64 b 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 (pow.f64 c 3)) (.f64 a a)) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 a a) (neg.f64 (pow.f64 c 3))) (neg.f64 (pow.f64 b 5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (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 (pow.f64 c 3/2) (pow.f64 b 5/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 a 6) (pow.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)) 3) (pow.f64 a 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 b 5) (.f64 (pow.f64 (.f64 c a) 2) c)) -1)))) (#(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 (exp.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 6) (pow.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (.f64 (pow.f64 c 3) (pow.f64 b -5)) 3) (pow.f64 a 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 (pow.f64 (.f64 c a) 2) c) (pow.f64 b -5))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (.f64 c a) 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 c a) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c a) 4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (.f64 c a) 4) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 (.f64 c a) 4)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 c a) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 a 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (pow.f64 c 4) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 c a) 8))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (.f64 c a) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (.f64 c a) 4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 c 4) 3) (pow.f64 (pow.f64 a 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (pow.f64 a 4) 3) (pow.f64 (pow.f64 c 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (.f64 c a) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 4 (log.f64 (.f64 c a))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 c a)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 (*.f64 c a))) 1))))))
((#(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 1 (.f64 (pow.f64 c 3) (pow.f64 b -5)))))) (#(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 (.f64 c (cbrt.f64 (pow.f64 b -5))) (cbrt.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 10))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 c 6) (pow.f64 b 10))) (.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 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 (.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 (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 pow.f64 (/.f64 (.f64 (pow.f64 c 8) c) (pow.f64 (pow.f64 b 5) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (/.f64 (pow.f64 b 5) (pow.f64 c 3)) 1) -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))))))

simplify175.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

873×	`associate-/l*_binary64`
638×	`sqr-pow_binary64`
465×	`associate-/r*_binary64`
420×	`associate-r_binary64`
414×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	1152
1	51	1152
2	168	1152
3	863	1152
4	5478	1152
5	5557	1152
6	5722	1152
7	5970	1152
8	6211	1152
9	6498	1152
10	6854	1152
11	7303	1152
12	7872	1152

Stop Event

1×	node limit

Counts

186 → 118

Calls

Call 1

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

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.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)

rewrite47.0ms (0.4%)

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 (/.f64 (pow.f64 b 3) -9/8) (*.f64 a a))
✓	0.4b	(fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (*.f64 a a))))
✓	0.4b	(/.f64 (.f64 c c) (/.f64 (/.f64 (pow.f64 b 3) -9/8) (.f64 a a)))
✓	0.4b	(/.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))

Compiler

Compiled 100 to 48 computations (52% saved)

series29.0ms (0.3%)

Counts

4 → 132

Calls

33 calls:

Time	Variable		Point	Expression
8.0ms	b	@	-inf	(/.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))
2.0ms	c	@	inf	(/.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))
1.0ms	b	@	0	(/.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))
1.0ms	c	@	0	(/.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))
1.0ms	a	@	inf	(/.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))

rewrite104.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

412×	`prod-diff_binary64`
350×	`expm1-udef_binary64`
350×	`log1p-udef_binary64`
202×	`add-sqr-sqrt_binary64`
193×	`pow1_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	96
1	411	87
2	5813	87

Stop Event

1×	node limit

Counts

4 → 152

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) (/.f64 1/3 a)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) (/.f64 1/3 a))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) (/.f64 1/3 a)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) (/.f64 1/3 a))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) (/.f64 1/3 a)) 2)))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (/.f64 1 (/.f64 (.f64 (pow.f64 b 3) (.f64 -8/9 (pow.f64 a -2))) c)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 c (.f64 c (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a -9/8)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 c c) (/.f64 a (/.f64 (pow.f64 b 3) (.f64 a -9/8))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 a a) (.f64 (.f64 c c) (/.f64 -9/8 (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) (cbrt.f64 (/.f64 (pow.f64 c 4) (/.f64 (.f64 (pow.f64 b 6) 64/81) (pow.f64 a 4)))))))) (#(struct:change 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simplify126.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

596×	`associate-r_binary64`
583×	`associate-/r*_binary64`
538×	`associate-l_binary64`
538×	`associate-*l/_binary64`
525×	`fma-def_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	29	2643
1	71	2643
2	232	2643
3	1134	2616
4	6179	2508
5	7791	2400

Stop Event

1×	node limit

Counts

284 → 166

Calls

Call 1

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

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

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.6b	(cbrt.f64 (/.f64 1/3 a))
✓	0.7b	(pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)
	27.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 76 to 48 computations (36.8% saved)

series7.0ms (0.1%)

Counts

2 → 0

Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

572×	`pow1_binary64`
544×	`add-log-exp_binary64`
544×	`log1p-expm1-u_binary64`
544×	`expm1-log1p-u_binary64`
532×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	155	10
2	1531	10

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

((#(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 (cbrt.f64 (/.f64 1/3 a)) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 a))))) (#(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 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 2) (*.f64 (cbrt.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 (/.f64 1/3 a) 1/6) (*.f64 (pow.f64 (/.f64 1/3 a) 1/6) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2)))))) (#(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 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 2) 3) (cbrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 1/6) 3) (pow.f64 (pow.f64 (/.f64 1/3 a) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) 1) (cbrt.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (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 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (pow.f64 (/.f64 1/3 a) 1/6)) (pow.f64 (/.f64 1/3 a) 1/6))))) (#(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 (pow.f64 (cbrt.f64 1/3) 3) 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 /.f64 (/.f64 1/3 (pow.f64 (cbrt.f64 a) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 1/3) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2)) (cbrt.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) (cbrt.f64 1/3)) (cbrt.f64 a))))) (#(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 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 -.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 (cbrt.f64 (/.f64 1/3 a))) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) 1/3))))) (#(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 (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 (/.f64 1/3 a) 1/6) (pow.f64 (/.f64 1/3 a) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))))))) (#(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 (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 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))))))))

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

60 → 60

Calls

Call 1

Inputs

Outputs

localize79.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 a (/.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))))
✓	0.3b	(.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)

series16.0ms (0.1%)

Counts

4 → 132

Calls

33 calls:

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

rewrite88.0ms (0.8%)

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	77
1	426	77
2	5277	77

Stop Event

1×	node limit

Counts

4 → 91

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 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))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))) 1) (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))) (pow.f64 (cbrt.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))) 2) (cbrt.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))) (sqrt.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))) 3) (pow.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))) 3)) (fma.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))) (-.f64 (.f64 (.f64 (pow.f64 c 6) (pow.f64 a 4)) (/.f64 81/256 (pow.f64 b 10))) (.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (.f64 (.f64 (pow.f64 c 6) (pow.f64 a 4)) (/.f64 81/256 (pow.f64 b 10)))) (-.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))) (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 (pow.f64 c 3)) (.f64 a a)) (.f64 -9/16 (pow.f64 b -5))) (exp.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3)))))) (exp.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (.f64 (exp.f64 (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))) (+.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 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (*.f64 c c) (pow.f64 b 3))))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))))) 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 (/.f64 (pow.f64 b 3) c) (.f64 c a)))))) (#(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 (neg.f64 (.f64 c a)) (/.f64 (neg.f64 (pow.f64 b 3)) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) (pow.f64 b 3)) (/.f64 1 c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) 1) (/.f64 (pow.f64 b 3) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) (pow.f64 (/.f64 b (cbrt.f64 c)) 2)) (/.f64 b (cbrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 c a) (/.f64 (pow.f64 b 3/2) (sqrt.f64 c))) (/.f64 (pow.f64 b 3/2) (sqrt.f64 c)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (neg.f64 c) a) (/.f64 (neg.f64 (pow.f64 b 3)) c))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 a (neg.f64 c)) (/.f64 (neg.f64 (pow.f64 b 3)) c))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (cbrt.f64 (.f64 c a)) (/.f64 b (cbrt.f64 c))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 c) (/.f64 c (pow.f64 b 3))) a))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 a 3) (pow.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 (.f64 c c) (pow.f64 b 3)) 3) (pow.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3)))) 1))))))

simplify196.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-r_binary64`
615×	`associate-l_binary64`
602×	`associate-/r*_binary64`
388×	`fma-def_binary64`
308×	`associate-*l/_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	21	2496
1	59	2496
2	194	2496
3	1068	2469
4	5857	2388
5	6559	2388
6	7109	2388
7	7355	2388
8	7602	2388
9	7887	2388

Stop Event

1×	node limit

Counts

223 → 101

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

eval398.0ms (3.5%)

Compiler: Compiled 19457 to 12117 computations (37.7% saved)

prune329.0ms (2.9%)

Pruning

47 alts after pruning (43 fresh and 4 done)

	Pruned	Kept	Total
New	591	24	615
Fresh	6	19	25
Picked	1	0	1
Done	2	4	6
Total	600	47	647

Error

0.1b

Counts

647 → 47

Alt Table

Click to see full alt table

Status	Error	Program
	3.4b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b -9/8)))) (.f64 3 a))
	5.7b	(/.f64 (*.f64 -1/2 c) b)
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/3 a)))) 3))
▶	57.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (/.f64 1/3 a)))) 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)))))
	53.0b	(.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 1/3 a))))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 1 a))) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	52.2b	(.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))
▶	5.9b	(/.f64 -1/2 (/.f64 b c))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (pow.f64 (cbrt.f64 1/3) 3) a))
✓	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	3.4b	(/.f64 (.f64 (.f64 c a) (fma.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c a) (/.f64 -3/2 b))) (.f64 3 a))
	44.7b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3) 3))
	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))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	3.3b	(.f64 1/3 (/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) a))
	2.4b	(/.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 3 a))
	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
	52.9b	(.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))
	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))))
	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))
	5.2b	(fma.f64 -1/2 (/.f64 c b) (log.f64 (exp.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))))))
	6.1b	(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
	53.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 1/3 a))) 1) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)) 3))
	3.3b	(.f64 (neg.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9)))) (/.f64 1 (*.f64 a -3)))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2)) 3))
	53.3b	(.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))
	2.9b	(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
	6.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
▶	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
	6.1b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 a 3))) 3))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	2.7b	(.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 (.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)))))) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	2.9b	(.f64 (/.f64 c b) (fma.f64 -3/8 (.f64 c (/.f64 a (*.f64 b b))) -1/2))
	53.0b	(.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))
	52.1b	(.f64 (fma.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)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/3 a))
✓	5.9b	(*.f64 (/.f64 -1/2 b) c)
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (/.f64 1/3 a)))) 3))
▶	1.5b	(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 (pow.f64 (.f64 c a) 4) 405/64) (.f64 a (pow.f64 b 7))) (.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (.f64 c a))))))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
▶	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 1/3) 3))
	3.4b	(.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 1/3 a))

Compiler

Compiled 2345 to 1665 computations (29% saved)

localize75.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (pow.f64 c 3) (pow.f64 b 5))
	0.3b	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
	0.4b	(.f64 (/.f64 -3/8 (pow.f64 b 3)) (.f64 c (*.f64 c a)))
✓	0.9b	(pow.f64 (*.f64 c a) 4)

Compiler

Compiled 206 to 118 computations (42.7% saved)

series4.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	c	@	-inf	(pow.f64 (*.f64 c a) 4)
1.0ms	a	@	-inf	(pow.f64 (*.f64 c a) 4)
1.0ms	c	@	0	(pow.f64 (*.f64 c a) 4)
1.0ms	c	@	inf	(pow.f64 (*.f64 c a) 4)
1.0ms	a	@	inf	(pow.f64 (*.f64 c a) 4)

rewrite62.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

549×	`pow1_binary64`
524×	`add-sqr-sqrt_binary64`
507×	`add-log-exp_binary64`
507×	`log1p-expm1-u_binary64`
507×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1434	7

Stop Event

1×	node limit

Counts

1 → 16

Calls

Call 1

Inputs
(pow.f64 (*.f64 c a) 4)

Outputs

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

simplify178.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1109×	`sqr-pow_binary64`
732×	`associate-l_binary64`
552×	`cube-prod_binary64`
537×	`associate-r_binary64`
510×	`pow-sqr_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	240
1	14	240
2	35	240
3	100	240
4	434	240
5	2442	168
6	2506	168
7	2661	168
8	2839	168
9	3032	168
10	3279	168
11	3869	168
12	4243	168
13	4737	168
14	5313	168
15	6081	168
16	6449	168
17	6769	168
18	7025	168
19	7239	168
20	7361	168

Stop Event

1×	node limit

Counts

40 → 17

Calls

Call 1

Inputs
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(*.f64 (pow.f64 c 4) (pow.f64 a 4))

Outputs
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)
(*.f64 (pow.f64 c 4) (pow.f64 a 4))
(pow.f64 (*.f64 c a) 4)

localize6.0ms (0%)

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))

rewrite47.0ms (0.4%)

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))))))))

simplify11.0ms (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))

localize35.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 c (.f64 a -3))
	0.3b	(/.f64 1/3 a)
✓	17.3b	(-.f64 (+.f64 1 (/.f64 1/3 a)) 1)
	27.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 79 to 51 computations (35.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(-.f64 (+.f64 1 (/.f64 1/3 a)) 1)
0.0ms	a	@	inf	(-.f64 (+.f64 1 (/.f64 1/3 a)) 1)
0.0ms	a	@	-inf	(-.f64 (+.f64 1 (/.f64 1/3 a)) 1)

rewrite71.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

782×	`pow1_binary64`
737×	`add-log-exp_binary64`
737×	`log1p-expm1-u_binary64`
737×	`expm1-log1p-u_binary64`
726×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	163	4
2	2256	4

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (/.f64 1/3 a) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (+.f64 (/.f64 1/3 a) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 1/3 a) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (/.f64 1/3 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (/.f64 1/3 a) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1/3 a))))) (#(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 (cbrt.f64 (/.f64 1/3 a)) (cbrt.f64 (/.f64 1/9 (*.f64 a a))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 1/9 (*.f64 a a))) (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 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 2) (+.f64 (/.f64 1/3 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 a) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (/.f64 1 (+.f64 (/.f64 1/3 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/3 a))) 1) (-.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/3 a))) 1))))) (#(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 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 2) (+.f64 (/.f64 1/3 a) 2)) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (/.f64 1/3 a) 2) (*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a))))))) (#(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 -1/3 (neg.f64 a))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 2) (+.f64 (/.f64 1/3 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 3) -1) (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 2) (-.f64 1 (*.f64 (+.f64 1 (/.f64 1/3 a)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (*.f64 a 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (-.f64 (+.f64 1 (/.f64 1/3 a)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 1/3 a)) 2) (+.f64 (/.f64 1/3 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a))) (neg.f64 (+.f64 (/.f64 1/3 a) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/3 a) -1) 3)) (+.f64 1 (-.f64 (*.f64 (+.f64 (/.f64 1/3 a) -1) (+.f64 (/.f64 1/3 a) -1)) (+.f64 (/.f64 1/3 a) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (+.f64 (/.f64 1/3 a) -1) (+.f64 (/.f64 1/3 a) -1))) (-.f64 1 (+.f64 (/.f64 1/3 a) -1)))))) (#(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 (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 1/27 (pow.f64 a 3)) 1/3)))) (#(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 log.f64 (exp.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 1/27 (pow.f64 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 fma.f64 1 (+.f64 1 (/.f64 1/3 a)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 1/3 a))) 2) (cbrt.f64 (+.f64 1 (/.f64 1/3 a))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (/.f64 1/3 a))) (hypot.f64 1 (sqrt.f64 (/.f64 1/3 a))) -1)))))

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

61 → 49

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)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.7b	(pow.f64 (pow.f64 (/.f64 1/3 a) 1/3) 3)
✓	2.2b	(pow.f64 (/.f64 1/3 a) 1/3)
	27.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 79 to 51 computations (35.4% saved)

series4.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite58.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

580×	`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	10
1	164	10
2	1587	10

Stop Event

1×	node limit

Counts

2 → 51

Calls

Call 1

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

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

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

51 → 51

Calls

Call 1

Inputs

Outputs

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (/.f64 1/3 a))
✓	0.6b	(pow.f64 (log.f64 (exp.f64 (cbrt.f64 (/.f64 1/3 a)))) 3)
	27.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)
✓	28.7b	(log.f64 (exp.f64 (cbrt.f64 (/.f64 1/3 a))))

Compiler

Compiled 91 to 61 computations (33% saved)

series3.0ms (0%)

Counts

2 → 0

Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
605×	`add-log-exp_binary64`
591×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	177	10
2	1715	10

Stop Event

1×	node limit

Counts

2 → 63

Calls

Call 1

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

Outputs

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

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

63 → 63

Calls

Call 1

Inputs

Outputs

eval559.0ms (4.9%)

Compiler: Compiled 23048 to 15142 computations (34.3% saved)

prune266.0ms (2.3%)

Pruning

56 alts after pruning (49 fresh and 7 done)

	Pruned	Kept	Total
New	748	23	771
Fresh	12	26	38
Picked	0	1	1
Done	2	6	8
Total	762	56	818

Error

0.1b

Counts

818 → 56

Alt Table

Click to see full alt table

Status	Error	Program
▶	5.7b	(/.f64 (*.f64 -1/2 c) b)
▶	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3) 3))
	3.4b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b -9/8)))) (.f64 3 a))
	53.0b	(.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))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/3 a)))) 3))
✓	57.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (/.f64 1/3 a)))) 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)))))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (/.f64 1 (cbrt.f64 (.f64 a 3))) 3))
	44.7b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	52.2b	(.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))
▶	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (pow.f64 (cbrt.f64 1/3) 3) a))
✓	5.9b	(/.f64 -1/2 (/.f64 b c))
✓	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
	53.0b	(.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 1/3 a))))
▶	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2)))
▶	1.5b	(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 (pow.f64 (.f64 c a) 4) 405/64) (.f64 a (pow.f64 b 7))) (/.f64 (/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (*.f64 b b)) b))))
	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (-.f64 1 (.f64 (+.f64 (/.f64 1/3 a) -1) (+.f64 (/.f64 1/3 a) -1))) (-.f64 1 (+.f64 (/.f64 1/3 a) -1))))
	3.4b	(/.f64 (.f64 (.f64 c a) (fma.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c a) (/.f64 -3/2 b))) (.f64 3 a))
	21.1b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (-.f64 (+.f64 1 (/.f64 1/3 a)) 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))
	2.4b	(/.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 3 a))
	53.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3) 1/3) 3))
	3.3b	(.f64 1/3 (/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 1 (/.f64 (+.f64 (/.f64 1/3 a) 2) (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)))))
	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
	52.9b	(.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))
	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))))
	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))
	5.2b	(fma.f64 -1/2 (/.f64 c b) (log.f64 (exp.f64 (fma.f64 (.f64 a a) (.f64 -9/16 (.f64 (pow.f64 b -5) (pow.f64 c 3))) (.f64 (.f64 -3/8 a) (/.f64 (.f64 c c) (pow.f64 b 3)))))))
	3.3b	(.f64 (neg.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9)))) (/.f64 1 (*.f64 a -3)))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (.f64 (cbrt.f64 1/3) (cbrt.f64 (/.f64 1 a))) 3))
	6.1b	(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
	53.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 1/3 a))) 1) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)) 3))
	18.5b	(.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 (+.f64 1 (/.f64 1/3 a)) 1))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2)) 3))
	53.3b	(.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))
	2.9b	(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
	6.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (/.f64 1/3 a)))) 3))
	3.4b	(.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 1/3 a))
	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/3 a) -1) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 (/.f64 1/3 a) -1) (+.f64 (/.f64 1/3 a) -1)) (+.f64 (/.f64 1/3 a) -1)))))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	6.1b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))
	2.9b	(.f64 (/.f64 c b) (fma.f64 -3/8 (.f64 c (/.f64 a (*.f64 b b))) -1/2))
	52.1b	(.f64 (fma.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)) (fma.f64 (neg.f64 (cbrt.f64 b)) (pow.f64 (cbrt.f64 b) 2) b)) (/.f64 1/3 a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (cbrt.f64 (/.f64 1/27 (pow.f64 a 3))))
✓	5.9b	(*.f64 (/.f64 -1/2 b) c)
	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (+.f64 (+.f64 (/.f64 1/3 a) -1) 1))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
	52.9b	(.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)) (pow.f64 (pow.f64 (/.f64 1/3 a) 1/3) 3))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	4.8b	(.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))))))) (pow.f64 (pow.f64 (/.f64 1/3 a) 1/3) 3))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 1/3) 3))

Compiler

Compiled 2838 to 2026 computations (28.6% saved)

localize181.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 (pow.f64 c 3) (pow.f64 b 5))
	0.3b	(.f64 (.f64 a a) (/.f64 (pow.f64 c 3) (pow.f64 b 5)))
✓	0.4b	(/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b))
	0.9b	(pow.f64 (*.f64 c a) 4)

Compiler

Compiled 227 to 114 computations (49.8% saved)

series7.0ms (0.1%)

Counts

1 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	c	@	0	(/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b))
1.0ms	a	@	0	(/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b))
1.0ms	a	@	inf	(/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b))
1.0ms	c	@	inf	(/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b))
1.0ms	b	@	inf	(/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

655×	`log-prod_binary64`
364×	`pow-prod-down_binary64`
284×	`pow-unpow_binary64`
279×	`pow2_binary64`
198×	`pow1/3_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	16
1	214	16
2	2992	15

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

Inputs
(/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/8 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/8 (/.f64 1 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -3/8 (*.f64 (*.f64 a (*.f64 c c)) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 a (*.f64 c c)) (*.f64 -3/8 (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -3/8 (*.f64 a (*.f64 c c))) (pow.f64 b -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))) (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) 4)) (cbrt.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 9/64 (pow.f64 (*.f64 c (sqrt.f64 a)) 4))) (*.f64 (cbrt.f64 (*.f64 -3/8 (*.f64 a (*.f64 c c)))) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) (*.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 a (*.f64 c c)) 3/8) (/.f64 1 (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3/8 b) (/.f64 (*.f64 a (*.f64 c c)) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (*.f64 c c)) b) (/.f64 -3/8 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 b -2) (*.f64 -3/8 (*.f64 a (*.f64 c c))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -3/8 (/.f64 (*.f64 a (*.f64 c c)) b)) (/.f64 1 b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -3/8 c) (*.f64 (*.f64 c a) (pow.f64 b -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (*.f64 c c)) 1) (/.f64 -3/8 (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 9/64 (pow.f64 (*.f64 c (sqrt.f64 a)) 4))) 1) (/.f64 (cbrt.f64 (*.f64 -3/8 (*.f64 a (*.f64 c c)))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) 1) (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -3/8 c) 1) (/.f64 (*.f64 c a) (*.f64 b b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 b) (*.f64 -3/8 (/.f64 (*.f64 a (*.f64 c c)) b)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 9/64 (pow.f64 (*.f64 c (sqrt.f64 a)) 4))) b) (/.f64 (cbrt.f64 (*.f64 -3/8 (*.f64 a (*.f64 c c)))) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -3/8 c) b) (/.f64 (*.f64 c a) b))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3/8 (*.f64 b b)) (*.f64 a (*.f64 c c)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 -3/8 (*.f64 (cbrt.f64 b) b)) (/.f64 (*.f64 a (*.f64 c c)) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (cbrt.f64 b) b)) (/.f64 -3/8 (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (cbrt.f64 b) b)) (/.f64 (*.f64 -3/8 (*.f64 a (*.f64 c c))) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cbrt.f64 (*.f64 9/64 (pow.f64 (*.f64 c (sqrt.f64 a)) 4))) (*.f64 (cbrt.f64 b) b)) (cbrt.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) (*.f64 (cbrt.f64 b) b)) (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 -3/8 c) (*.f64 (cbrt.f64 b) b)) (/.f64 (*.f64 c a) (pow.f64 (cbrt.f64 b) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -8/3 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (*.f64 -3/8 (*.f64 a (*.f64 c c))) 3) (pow.f64 b 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 -8/3 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 -3/8 (*.f64 a (*.f64 c c))) (*.f64 b (neg.f64 b))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) 6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 -3/8 (*.f64 a (*.f64 c c))) 3) (pow.f64 b 6)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (sqrt.f64 -3/8) (*.f64 c (sqrt.f64 a))) b)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -8/3 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 -3/8 (pow.f64 (/.f64 b (*.f64 c (sqrt.f64 a))) 2))) 1) 1))))))

simplify166.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

706×	`associate-/l/_binary64`
680×	`associate-*l/_binary64`
516×	`associate-*r/_binary64`
497×	`associate-/r/_binary64`
440×	`sqr-pow_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	576
1	25	576
2	66	576
3	248	576
4	1519	576
5	4838	576
6	5058	576
7	5683	576
8	5805	576
9	5984	576
10	6252	576
11	6545	576
12	6959	576
13	7480	576

Stop Event

1×	node limit

Counts

95 → 61

Calls

Call 1

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

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

localize11.0ms (0.1%)

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

localize102.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f64 1/3 a)
✓	0.3b	(/.f64 (*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2))
✓	0.3b	(*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a))
	27.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 104 to 70 computations (32.7% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	a	@	0	(*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a))
1.0ms	a	@	-inf	(*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a))
1.0ms	a	@	inf	(*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a))
0.0ms	a	@	-inf	(/.f64 (*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2))
0.0ms	a	@	0	(/.f64 (*.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2))

rewrite97.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

481×	`log-prod_binary64`
367×	`exp-prod_binary64`
296×	`pow-prod-down_binary64`
246×	`pow2_binary64`
200×	`log-div_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	189	35
2	2744	15

Stop Event

1×	node limit

Counts

2 → 136

Calls

Call 1

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

Outputs

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(/.f64 1/3 a) 2) -1/2) (/.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a)) (sqrt.f64 (+.f64 (/.f64 1/3 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a))) 2) (sqrt.f64 (+.f64 (/.f64 1/3 a) 2))) (/.f64 (cbrt.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a))) (sqrt.f64 (+.f64 (/.f64 1/3 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a)) (fma.f64 1/27 (pow.f64 a -3) 8)) (-.f64 (fma.f64 1/9 (pow.f64 a -2) 4) (/.f64 2/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a)) (fma.f64 1/9 (pow.f64 a -2) -4)) (+.f64 (/.f64 1/3 a) -2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1/3 a) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/9 (pow.f64 a -2)) 1/2)))) (#(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 1/27 (pow.f64 a -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 a 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (/.f64 1/3 a)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a)) 3) (pow.f64 (+.f64 (/.f64 1/3 a) 2) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (*.f64 a 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 a))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 1/3 a)))) (sqrt.f64 (log.f64 (/.f64 1/3 a))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a)) (+.f64 -2 (neg.f64 (/.f64 1/3 a)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/9 (pow.f64 a -2)))))) (#(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 (*.f64 1/27 (pow.f64 a -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a)) 3) (pow.f64 (+.f64 (/.f64 1/3 a) 2) 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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 1/3 a))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 1/3 a))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (/.f64 1/3 a))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 a 3)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 a)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 1/3 a)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (+.f64 (/.f64 1/3 a) 2)) 1) (log.f64 (*.f64 (+.f64 (/.f64 1/3 a) 2) (*.f64 a 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a))) 1) (log.f64 (+.f64 (/.f64 1/3 a) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (log.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a))) (*.f64 (log.f64 (+.f64 (/.f64 1/3 a) 2)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (-.f64 (*.f64 (log.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a))) 1) (*.f64 (log.f64 (+.f64 (/.f64 1/3 a) 2)) 1)))))))

simplify119.0ms (1%)

Algorithm

1×	egg-herbie

Rules

616×	`associate-/r/_binary64`
606×	`*-commutative_binary64`
596×	`fma-def_binary64`
575×	`sqr-pow_binary64`
434×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	180
1	28	180
2	41	180
3	68	180
4	152	180
5	484	180
6	2253	180
7	3947	180
8	4289	180
9	4636	180
10	5082	180
11	5705	180
12	6231	180
13	7177	180
14	7843	180

Stop Event

1×	node limit

Counts

160 → 142

Calls

Call 1

Inputs
(/.f64 1/9 (pow.f64 a 2))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(/.f64 2/3 a)
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(/.f64 2/3 a)
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 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 1/3 a)

Outputs
(/.f64 1/9 (pow.f64 a 2))
(/.f64 1/9 (*.f64 a a))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a a)))
(/.f64 2/3 a)
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a a)))
(/.f64 2/3 a)
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a a)))
(+.f64 (.f64 1/9 (/.f64 1 (pow.f64 a 2))) (.f64 2/3 (/.f64 1 a)))
(+.f64 (/.f64 1/9 (*.f64 a a)) (/.f64 2/3 a))
(+.f64 (/.f64 2/3 a) (/.f64 1/9 (*.f64 a 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 1/3 a)

localize40.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f64 c (.f64 a -3))
✓	0.3b	(/.f64 (pow.f64 (cbrt.f64 1/3) 3) a)
✓	1.0b	(pow.f64 (cbrt.f64 1/3) 3)
	27.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 75 to 49 computations (34.7% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

3 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

553×	`pow1_binary64`
524×	`add-log-exp_binary64`
524×	`log1p-expm1-u_binary64`
524×	`expm1-log1p-u_binary64`
512×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	5
1	155	5
2	1469	5

Stop Event

1×	node limit

Counts

2 → 21

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1/3)))))

((#(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 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 (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 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

33 → 22

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)

localize77.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.6b	(cbrt.f64 (/.f64 1/3 a))
✓	0.7b	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3)
✓	0.7b	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3) 3)
	27.0b	(-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b)

Compiler

Compiled 94 to 64 computations (31.9% saved)

series57.0ms (0.5%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
41.0ms	a	@	0	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3) 3)
10.0ms	a	@	inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3) 3)
5.0ms	a	@	-inf	(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3) 3)
0.0ms	a	@	-inf	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3)
0.0ms	a	@	0	(pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3)

rewrite57.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

649×	`pow1_binary64`
617×	`add-log-exp_binary64`
617×	`log1p-expm1-u_binary64`
617×	`expm1-log1p-u_binary64`
599×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	10
1	200	10
2	1807	10

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

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

Outputs

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

simplify164.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1219×	`sqr-pow_binary64`
720×	`cube-prod_binary64`
686×	`fabs-mul_binary64`
660×	`pow-sqr_binary64`
416×	`unswap-sqr_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	22	252
1	55	180
2	95	180
3	154	180
4	318	180
5	857	180
6	1155	180
7	1800	180
8	1918	180
9	2087	180
10	2307	180
11	2649	180
12	3116	180
13	3721	180
14	4480	180
15	5415	180
16	5925	180
17	6413	180
18	6809	180
19	7129	180
20	7291	180

Stop Event

1×	node limit

Counts

89 → 70

Calls

Call 1

Inputs
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))

Outputs
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 1/3 (.f64 (pow.f64 1 1/9) (/.f64 1 a)))
(*.f64 1/3 (/.f64 1 a))
(/.f64 1/3 a)
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3))
(.f64 (pow.f64 (pow.f64 1 4) 1/9) (.f64 (pow.f64 (/.f64 1 a) 1/3) (cbrt.f64 1/3)))
(.f64 1 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)))
(*.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(.f64 (cbrt.f64 (/.f64 -1 a)) (.f64 1 (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/3))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(.f64 (cbrt.f64 (/.f64 -1 a)) (.f64 1 (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/3))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(.f64 (cbrt.f64 (/.f64 -1 a)) (.f64 1 (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/3))
(.f64 (pow.f64 (/.f64 -1 a) 1/3) (.f64 (pow.f64 1 1/9) (cbrt.f64 -1/3)))
(.f64 (cbrt.f64 (/.f64 -1 a)) (.f64 1 (cbrt.f64 -1/3)))
(*.f64 (cbrt.f64 (/.f64 -1 a)) (cbrt.f64 -1/3))

eval798.0ms (7%)

Compiler: Compiled 29325 to 19318 computations (34.1% saved)

prune233.0ms (2%)

Pruning

69 alts after pruning (59 fresh and 10 done)

	Pruned	Kept	Total
New	847	24	871
Fresh	9	35	44
Picked	1	0	1
Done	1	10	11
Total	858	69	927

Error

0.1b

Counts

927 → 69

Alt Table

Click to see full alt table

Status	Error	Program
	3.4b	(/.f64 (fma.f64 -3/2 (/.f64 (.f64 c a) b) (/.f64 (.f64 c c) (.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b -9/8)))) (.f64 3 a))
	53.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 1/3 a))) 1)) 3) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (/.f64 (+.f64 (/.f64 1/3 a) 2) (.f64 a 3)) (+.f64 (/.f64 1/3 a) 2)))
	53.5b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (-.f64 (+.f64 1 (cbrt.f64 (/.f64 1/3 a))) 1) 3))
✓	5.7b	(/.f64 (*.f64 -1/2 c) b)
	53.0b	(.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))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (exp.f64 (log.f64 (/.f64 1/3 a)))) 3))
✓	57.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (log.f64 (exp.f64 (cbrt.f64 (/.f64 1/3 a)))) 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)))))
	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a)))) 1) (+.f64 (/.f64 1/3 a) 2)))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (exp.f64 (-.f64 (.f64 (log.f64 (fma.f64 1/9 (pow.f64 a -2) (/.f64 2/3 a))) 1) (log.f64 (+.f64 (/.f64 1/3 a) 2)))))
	1.5b	(fma.f64 -9/16 (.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 c (pow.f64 b -5)))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 405/64) (.f64 a (pow.f64 b 7))) (/.f64 (/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b)) b))))
	44.7b	(-.f64 (+.f64 1 (*.f64 -1/2 (/.f64 c b))) 1)
	52.2b	(.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))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (pow.f64 (cbrt.f64 1/3) 3) a))
✓	5.9b	(/.f64 -1/2 (/.f64 b c))
	6.1b	(.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2)))
	21.1b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (-.f64 1 (.f64 (+.f64 (/.f64 1/3 a) -1) (+.f64 (/.f64 1/3 a) -1))) (-.f64 1 (+.f64 (/.f64 1/3 a) -1))))
✓	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2)))
	3.4b	(/.f64 (.f64 (.f64 c a) (fma.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c a) (/.f64 -3/2 b))) (.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))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (/.f64 1/3 a))) 3)) 3) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3) 2)))
	2.4b	(/.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 3 a))
	53.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (pow.f64 (pow.f64 (/.f64 1/3 a) 3) 1/3) 1/3) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (exp.f64 (-.f64 (log.f64 (.f64 1/3 (+.f64 (/.f64 1/3 a) 2))) (*.f64 (log.f64 a) 1))) (+.f64 (/.f64 1/3 a) 2)))
	3.3b	(.f64 1/3 (/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 1 (/.f64 (+.f64 (/.f64 1/3 a) 2) (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)))))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (expm1.f64 (log1p.f64 (/.f64 1/3 a))))
	53.0b	(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
	53.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 1/3 a))) 2)) (cbrt.f64 (log.f64 (/.f64 1/3 a)))))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (/.f64 1/3 a) 1/3) 3))
	52.9b	(.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))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 1/6) 3) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 1/6) 3)) 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))))
	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))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1 (.f64 (+.f64 (/.f64 1/3 a) 2) (.f64 a 3)))))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 1/6) 9) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 1/6) 9)))
	18.5b	(.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 (+.f64 1 (/.f64 1/3 a)) 1))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3)) 3))
	3.3b	(.f64 (neg.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9)))) (/.f64 1 (*.f64 a -3)))
	6.1b	(/.f64 (.f64 -3/2 (/.f64 c (/.f64 b a))) (.f64 3 a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (/.f64 1/3 a)) 2)) 3))
	53.3b	(.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))
	2.9b	(fma.f64 -3/8 (.f64 a (/.f64 (.f64 c c) (pow.f64 b 3))) (/.f64 c (/.f64 b -1/2)))
	6.1b	(/.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (*.f64 3 a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (pow.f64 (.f64 (cbrt.f64 (/.f64 1 a)) (cbrt.f64 1/3)) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (*.f64 (/.f64 1 a) 1/3) 2)))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (exp.f64 (log.f64 (cbrt.f64 (/.f64 1/3 a)))) 3))
	3.4b	(.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 1/3 a))
	53.0b	(.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 1/3 a))))
	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (+.f64 1 (pow.f64 (+.f64 (/.f64 1/3 a) -1) 3)) (+.f64 1 (-.f64 (.f64 (+.f64 (/.f64 1/3 a) -1) (+.f64 (/.f64 1/3 a) -1)) (+.f64 (/.f64 1/3 a) -1)))))
	6.1b	(.f64 (.f64 -3/2 (*.f64 (/.f64 a b) c)) (/.f64 1/3 a))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (cbrt.f64 (/.f64 1/3 a)) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (cbrt.f64 1/3) (cbrt.f64 a))) 3) 3))
	2.9b	(.f64 (/.f64 c b) (fma.f64 -3/8 (.f64 c (/.f64 a (*.f64 b b))) -1/2))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (cbrt.f64 (/.f64 1/27 (pow.f64 a 3))))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1 (/.f64 a 1/3)))
✓	5.9b	(*.f64 (/.f64 -1/2 b) c)
	55.1b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (+.f64 (+.f64 (/.f64 1/3 a) -1) 1))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
	52.9b	(.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)) (pow.f64 (pow.f64 (/.f64 1/3 a) 1/3) 3))
✓	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1/3 a))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (pow.f64 (/.f64 1 (cbrt.f64 (/.f64 a 1/3))) 3))
	57.6b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 2/3 a) (+.f64 (/.f64 1/3 a) 2)))
	4.8b	(.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))))))) (pow.f64 (pow.f64 (/.f64 1/3 a) 1/3) 3))
	53.0b	(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (exp.f64 (log.f64 (/.f64 1/3 a))))

Compiler

Compiled 1855 to 1349 computations (27.3% saved)

regimes579.0ms (5.1%)

Counts

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

Outputs

(fma.f64 -9/16 (*.f64 (*.f64 a a) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 b -5)))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -1/6 (/.f64 (*.f64 (pow.f64 (*.f64 c a) 4) 405/64) (*.f64 a (pow.f64 b 7))) (/.f64 (/.f64 (*.f64 -3/8 (*.f64 c (*.f64 c a))) (*.f64 b b)) b))))

Calls

6 calls:

183.0ms	c
89.0ms	b
68.0ms	a
65.0ms	(*.f64 3 a)
64.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
1.5b	1	`a`
1.5b	1	`b`
1.5b	1	`c`
1.5b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
1.5b	1	`(*.f64 3 a)`
1.5b	1	`(*.f64 3 a)`

Compiler

Compiled 2521 to 1662 computations (34.1% saved)

regimes553.0ms (4.8%)

Counts

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

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:

139.0ms	(*.f64 3 a)
93.0ms	c
82.0ms	b
54.0ms	a
54.0ms	(*.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 1882 to 1250 computations (33.6% saved)

regimes187.0ms (1.6%)

Counts

36 → 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 a b) c)) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
(.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2)))
(.f64 (/.f64 c b) (fma.f64 -3/8 (.f64 c (/.f64 a (*.f64 b 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 c a) b) (/.f64 (.f64 c c) (.f64 (/.f64 (.f64 b b) (.f64 a a)) (/.f64 b -9/8)))) (.f64 3 a))
(.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 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 1 (/.f64 a 1/3)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (/.f64 1 a) 1/3))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (+.f64 (+.f64 (/.f64 1/3 a) -1) 1))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
(/.f64 (.f64 (.f64 c a) (fma.f64 (/.f64 -9/8 (pow.f64 b 3)) (.f64 c a) (/.f64 -3/2 b))) (.f64 3 a))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (*.f64 a -3)))) b) (/.f64 (/.f64 2/3 a) (+.f64 (/.f64 1/3 a) 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 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (/.f64 (+.f64 (/.f64 1/3 a) 2) (.f64 a 3)) (+.f64 (/.f64 1/3 a) 2)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1 (.f64 (+.f64 (/.f64 1/3 a) 2) (.f64 a 3)))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (*.f64 (/.f64 1 a) 1/3) 2)))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 1 (/.f64 (+.f64 (/.f64 1/3 a) 2) (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)))))
(.f64 (-.f64 (sqrt.f64 (fma.f64 b b (.f64 c (.f64 a -3)))) b) (/.f64 (-.f64 1 (.f64 (+.f64 (/.f64 1/3 a) -1) (+.f64 (/.f64 1/3 a) -1))) (-.f64 1 (+.f64 (/.f64 1/3 a) -1))))
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b 4) (.f64 (.f64 c (.f64 a -3)) (.f64 c (.f64 a -3)))) (-.f64 (.f64 b b) (.f64 c (.f64 a -3)))))) (*.f64 3 a))
(.f64 1/3 (/.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9))) a))
(.f64 (neg.f64 (fma.f64 -3/2 (.f64 (/.f64 c b) a) (/.f64 (pow.f64 (.f64 c a) 2) (.f64 (pow.f64 b 3) -8/9)))) (/.f64 1 (*.f64 a -3)))
(/.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))
(.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 1/3 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:

68.0ms	a
24.0ms	(*.f64 3 a)
22.0ms	(*.f64 3 a)
21.0ms	b
20.0ms	c

Results

Error	Segments	Branch
2.9b	1	`a`
2.9b	1	`b`
2.9b	1	`c`
2.9b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
2.9b	1	`(*.f64 3 a)`
2.9b	1	`(*.f64 3 a)`

Compiler

Compiled 719 to 465 computations (35.3% saved)

regimes82.0ms (0.7%)

Counts

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

Calls

6 calls:

33.0ms	a
11.0ms	c
9.0ms	(*.f64 3 a)
9.0ms	b
8.0ms	(*.f64 3 a)

Results

Error	Segments	Branch
2.9b	1	`a`
2.9b	1	`b`
2.9b	1	`c`
2.9b	1	`(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (.f64 b b) (.f64 (.f64 3 a) c)))) (.f64 3 a))`
2.9b	1	`(*.f64 3 a)`
2.9b	1	`(*.f64 3 a)`

Compiler

Compiled 228 to 144 computations (36.8% saved)

regimes120.0ms (1%)

Accuracy

Total -40.6b remaining (-714.9%)

Threshold costs -40.6b (-714.9%)

Counts

11 → 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 a b) c)) (-.f64 (+.f64 1 (/.f64 1/3 a)) 1))
(.f64 (.f64 -3/2 (/.f64 (.f64 c a) b)) (/.f64 (.f64 (+.f64 (/.f64 1/3 a) 2) (/.f64 1/3 a)) (+.f64 (/.f64 1/3 a) 2)))

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

Calls

3 calls:

102.0ms	b
7.0ms	a
7.0ms	c

Results

Error	Segments	Branch
5.7b	1	`a`
5.7b	1	`b`
5.7b	1	`c`

Compiler

Compiled 124 to 82 computations (33.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	158
1	70	158

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(fma.f64 -9/16 (.f64 (.f64 a a) (.f64 (.f64 c c) (.f64 c (pow.f64 b -5)))) (fma.f64 -1/2 (/.f64 c b) (fma.f64 -1/6 (/.f64 (.f64 (pow.f64 (.f64 c a) 4) 405/64) (.f64 a (pow.f64 b 7))) (/.f64 (/.f64 (.f64 -3/8 (.f64 c (.f64 c a))) (.f64 b b)) b))))
(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 -3/8 (.f64 c (/.f64 a (*.f64 b b))) -1/2))
(/.f64 (*.f64 -1/2 c) b)

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

Compiler

Compiled 124 to 82 computations (33.9% saved)

soundness655.0ms (5.7%)

Algorithm

2×	egg-herbie

Rules

1220×	`fma-neg_binary64`
968×	`times-frac_binary64`
827×	`fma-def_binary64`
741×	`div-sub_binary64`
721×	`fma-def_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
0	169	1663
1	503	1638
2	1878	1556

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 2252 to 1686 computations (25.1% saved)

end96.0ms (0.8%)

Compiler: Compiled 112 to 64 computations (42.9% saved)