Details

analyze638.0ms (2.9%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample11.8s (53.6%)

Results

7.4s	2060×	body	2048	valid
2.9s	3093×	body	1024	valid
670.0ms	1568×	body	512	valid
548.0ms	1429×	body	256	valid
234.0ms	106×	body	4096	valid

preprocess124.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

583×	`fma-neg_binary64`
430×	`fma-def_binary64`
418×	`div-sub_binary64`
334×	`times-frac_binary64`
156×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	14	14
2	24	14
3	41	14
4	75	14
5	130	14
6	260	14
7	546	14
8	1420	14
9	2566	14
10	3392	14
11	3757	14
12	3886	14
13	3913	14
14	3923	14
15	3927	14
16	3927	14
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify114.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

583×	`fma-neg_binary64`
430×	`fma-def_binary64`
418×	`div-sub_binary64`
334×	`times-frac_binary64`
156×	`associate-/l*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	14	14
2	24	14
3	41	14
4	75	14
5	130	14
6	260	14
7	546	14
8	1420	14
9	2566	14
10	3392	14
11	3757	14
12	3886	14
13	3913	14
14	3923	14
15	3927	14
16	3927	14

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Outputs
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

eval1.0ms (0%)

Compiler: Compiled 19 to 9 computations (52.6% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

34.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.1b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Compiler

Compiled 10 to 6 computations (40% saved)

localize10.0ms (0%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.0b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	1.3b	(-.f64 (tan.f64 x) x)
✓	1.3b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 23 to 6 computations (73.9% saved)

series6.0ms (0%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.0ms	x	@	-inf	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
1.0ms	x	@	0	(-.f64 (sin.f64 x) x)
1.0ms	x	@	-inf	(-.f64 (tan.f64 x) x)
1.0ms	x	@	0	(-.f64 (tan.f64 x) x)

rewrite202.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
472×	`log-prod_binary64`
339×	`fma-def_binary64`
251×	`pow2_binary64`
227×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	29
1	169	29
2	2745	29

Stop Event

1×	node limit

Counts

4 → 440

Calls

Call 1

Inputs
(-.f64 (sin.f64 x) x)
(-.f64 (tan.f64 x) x)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(sin.f64 x)

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

simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

597×	`div-sub_binary64`
542×	`fma-def_binary64`
510×	`times-frac_binary64`
286×	`associate-/l*_binary64`
217×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	744
1	315	656
2	1009	622
3	4955	594

Stop Event

1×	node limit

Counts

480 → 485

Calls

Call 1

Inputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 62/2835 (pow.f64 x 9)) (.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))

Outputs
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 1/120 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) (*.f64 1/362880 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (neg.f64 x) (sin.f64 x))
(-.f64 (sin.f64 x) x)
(*.f64 1/3 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) 1/3)
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15))
(fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (*.f64 (pow.f64 x 5) 2/15)))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 7) 17/315)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 62/2835 (pow.f64 x 9)) (.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 (pow.f64 x 5) 2/15))))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 9) 62/2835 (*.f64 (pow.f64 x 5) 2/15))))
(fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 9) 62/2835))))
(fma.f64 (pow.f64 x 3) 1/3 (fma.f64 (pow.f64 x 7) 17/315 (fma.f64 (pow.f64 x 5) 2/15 (*.f64 (pow.f64 x 9) 62/2835))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (/.f64 -1 x))))
(-.f64 1 (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) -1)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 -1 (.f64 x x)) (/.f64 (sin.f64 x) (.f64 (pow.f64 x 3) (cos.f64 x))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (/.f64 -1 x))))
(-.f64 1 (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) -1)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 x 3) (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (-.f64 (/.f64 -1 (.f64 x x)) (/.f64 (sin.f64 x) (.f64 (pow.f64 x 3) (cos.f64 x))))))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) x))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 -1/5040 (pow.f64 x 7) (fma.f64 1/120 (pow.f64 x 5) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (fma.f64 -1/5040 (pow.f64 x 7) x)))

eval228.0ms (1%)

Compiler: Compiled 16764 to 5096 computations (69.6% saved)

prune107.0ms (0.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	478	7	485
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	478	8	486

Error

0.0b

Counts

486 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	34.5b	1
▶	51.4b	(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
✓	34.1b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶	29.0b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	28.6b	(fma.f64 x (*.f64 x 9/40) -1/2)
	29.2b	-1/2
▶	34.9b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
▶	34.2b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))

Compiler

Compiled 132 to 96 computations (27.3% saved)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (*.f64 x 9/40) -1/2)
✓	0.1b	(*.f64 x 9/40)

Compiler

Compiled 13 to 9 computations (30.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x 9/40)
1.0ms	x	@	0	(*.f64 x 9/40)
1.0ms	x	@	-inf	(fma.f64 x (*.f64 x 9/40) -1/2)
0.0ms	x	@	inf	(fma.f64 x (*.f64 x 9/40) -1/2)
0.0ms	x	@	-inf	(*.f64 x 9/40)

rewrite53.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

534×	`pow1_binary64`
522×	`add-sqr-sqrt_binary64`
497×	`add-log-exp_binary64`
497×	`log1p-expm1-u_binary64`
497×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	12
1	122	12
2	1327	12

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

Inputs
(*.f64 x 9/40)
(fma.f64 x (*.f64 x 9/40) -1/2)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x 9/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x 9/40) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x 9/40)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x 9/40) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x 9/40) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x 9/40)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (.f64 x (.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (.f64 x (.f64 x 9/40)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (.f64 x 9/40) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 x (.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 x (.f64 x 9/40) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 x (.f64 x 9/40) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9/40) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9/40) -1/2)) 2) (cbrt.f64 (fma.f64 x (.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (fma.f64 x (.f64 x 9/40) -1/2)) (sqrt.f64 (fma.f64 x (.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (.f64 x (.f64 x 9/40)) 3) -1/8) (+.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) (-.f64 1/4 (.f64 (.f64 x (.f64 x 9/40)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (.f64 x 9/40)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (.f64 x 9/40) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (.f64 x 9/40) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (.f64 x 9/40) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (.f64 x 9/40) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (.f64 x 9/40) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (.f64 x 9/40) -1/2)))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 9/40) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 9/40) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 9/40)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x 9/40) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 9/40) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 9/40)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3) -1/8) (+.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) (-.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 x (*.f64 x 9/40))) 1/4) (-.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))))

simplify185.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
560×	`cube-prod_binary64`
559×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
450×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	135
1	20	135
2	30	135
3	51	135
4	116	135
5	349	135
6	1281	135
7	2180	135
8	2344	135
9	2528	135
10	2736	135
11	3034	135
12	3427	135
13	3908	135
14	4476	135
15	5168	135
16	6007	135
17	6401	135
18	6689	135
19	6967	135
20	7039	135
21	7073	135

Stop Event

1×	node limit

Counts

56 → 38

Calls

Call 1

Inputs
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)

Outputs
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
(*.f64 9/40 x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)

localize20.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
	1.3b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 17 to 5 computations (70.6% saved)

series4.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.0ms	x	@	-inf	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
1.0ms	x	@	0	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))

rewrite67.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`pow1_binary64`
676×	`add-log-exp_binary64`
675×	`log1p-expm1-u_binary64`
675×	`expm1-log1p-u_binary64`
661×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	143	9
2	2334	9

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))

Outputs

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

simplify55.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

793×	`associate-/l/_binary64`
760×	`fma-def_binary64`
736×	`associate-l_binary64`
644×	`associate-r_binary64`
410×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	278
1	114	276
2	326	270
3	1704	240

Stop Event

1×	node limit

Counts

50 → 53

Calls

Call 1

Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))

Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (.f64 x x) 6/5) (/.f64 3 (.f64 x x)))
(+.f64 (fma.f64 (.f64 x x) 1/175 6/5) (/.f64 -3 (.f64 x x)))
(+.f64 6/5 (fma.f64 (.f64 x x) 1/175 (/.f64 -3 (.f64 x x))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (.f64 x x) 6/5) (.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (.f64 x x)))
(+.f64 (fma.f64 2/7875 (pow.f64 x 4) 6/5) (fma.f64 (.f64 x x) 1/175 (/.f64 -3 (.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 x x))))
(+.f64 1 (.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 x x)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) 3) (.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 x x))))
(+.f64 1 (.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 x x)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) 3) (.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))

localize29.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 (tan.f64 x) x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
	1.3b	(-.f64 (tan.f64 x) x)
	1.3b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 32 to 11 computations (65.6% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (-.f64 (tan.f64 x) x))
1.0ms	x	@	-inf	(/.f64 1 (-.f64 (tan.f64 x) x))
1.0ms	x	@	0	(/.f64 1 (-.f64 (tan.f64 x) x))
1.0ms	x	@	-inf	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
1.0ms	x	@	inf	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))

rewrite96.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

765×	`prod-diff_binary64`
484×	`log-prod_binary64`
330×	`fma-def_binary64`
268×	`pow2_binary64`
186×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	23
1	200	23
2	2884	23

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(/.f64 1 (-.f64 (tan.f64 x) x))

Outputs

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

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

simplify97.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

875×	`times-frac_binary64`
701×	`div-sub_binary64`
436×	`fma-def_binary64`
435×	`associate-/l*_binary64`
345×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	761
1	312	685
2	1106	637
3	6454	637

Stop Event

1×	node limit

Counts

107 → 114

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(/.f64 3 (pow.f64 x 3))
(-.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/175 x) (.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/175 x) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 -2/7875 (pow.f64 x 3)))) (.f64 6/5 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))

Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (/.f64 -1 x))) (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (.f64 (*.f64 x x) (cos.f64 x)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (-.f64 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (/.f64 -1 x))) (/.f64 (sin.f64 x) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (.f64 (*.f64 x x) (cos.f64 x)))))))
(/.f64 3 (pow.f64 x 3))
(-.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 6/5 (/.f64 1 x)))
(-.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 6/5 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (/.f64 -6/5 x))
(-.f64 (+.f64 (.f64 -1/175 x) (.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (/.f64 6/5 x))
(+.f64 (fma.f64 x -1/175 (/.f64 3 (pow.f64 x 3))) (/.f64 -6/5 x))
(+.f64 (/.f64 3 (pow.f64 x 3)) (fma.f64 x -1/175 (/.f64 -6/5 x)))
(-.f64 (+.f64 (.f64 -1/175 x) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 -2/7875 (pow.f64 x 3)))) (.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (fma.f64 -1/175 x (/.f64 3 (pow.f64 x 3))) (*.f64 (pow.f64 x 3) -2/7875)) (/.f64 6/5 x))
(+.f64 (fma.f64 x -1/175 (fma.f64 (pow.f64 x 3) -2/7875 (/.f64 3 (pow.f64 x 3)))) (/.f64 -6/5 x))
(+.f64 (fma.f64 x -1/175 (/.f64 3 (pow.f64 x 3))) (fma.f64 (pow.f64 x 3) -2/7875 (/.f64 -6/5 x)))
(/.f64 -1 x)
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 x x) (cos.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (.f64 -1 (+.f64 (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))) (/.f64 1 x))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 -1 x))
(-.f64 (-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4)))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4))))
(/.f64 -1 x)
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 (.f64 x x) (cos.f64 x))) (/.f64 1 x))
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (.f64 -1 (+.f64 (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(fma.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 -1 x))
(-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x)))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))) (/.f64 1 x))
(+.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 -1 x))
(-.f64 (-.f64 (/.f64 -1 x) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (pow.f64 x 3)) (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x))))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4)))
(-.f64 (-.f64 (/.f64 -1 x) (/.f64 (sin.f64 x) (.f64 (.f64 x x) (cos.f64 x)))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 4))))

localize62.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 27/112000 (pow.f64 x 6))
✓	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
✓	0.4b	(*.f64 9/40 (pow.f64 x 2))
✓	16.9b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 80 to 65 computations (18.8% saved)

series12.0ms (0.1%)

Counts

4 → 3

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
2.0ms	x	@	-inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
1.0ms	x	@	0	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
1.0ms	x	@	0	(*.f64 9/40 (pow.f64 x 2))
1.0ms	x	@	inf	(*.f64 27/112000 (pow.f64 x 6))

rewrite109.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`log-prod_binary64`
348×	`pow2_binary64`
332×	`pow-prod-down_binary64`
320×	`fma-def_binary64`
239×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	35
1	325	35
2	3611	35

Stop Event

1×	node limit

Counts

4 → 111

Calls

Call 1

Inputs
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 27/112000 (pow.f64 x 6))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 8) 729/7840000) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 -27/112000 (pow.f64 x 6)))) (/.f64 (.f64 (pow.f64 x 12) 729/12544000000) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 -27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/40)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 4) 81/1600) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (.f64 x 9/40))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 4) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 9/40) (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x (.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (.f64 x 9/40))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (*.f64 x 9/40))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -27/2800)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -27/2800))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -27/2800))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 8) 729/7840000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 12) -19683/21952000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 8) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -27/2800))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 12) -19683/21952000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -2827/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -2827/2800)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 -27/2800 (pow.f64 x 4))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 27/112000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 27/112000 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 12) 729/12544000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (.f64 x x) (cbrt.f64 27/112000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 18) 19683/1404928000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (.f64 (pow.f64 x 12) 729/12544000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 18) 19683/1404928000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 6 (log.f64 x) (log.f64 27/112000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 6 (log.f64 x) (log.f64 27/112000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 27/112000 (pow.f64 x 6))))))))

simplify179.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

811×	`sqr-pow_binary64`
687×	`cube-prod_binary64`
603×	`fabs-mul_binary64`
492×	`associate-l_binary64`
467×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	20	21
2	42	21
3	106	21
4	350	21
5	1581	21
6	2627	21
7	2784	21
8	3048	21
9	3312	21
10	3658	21
11	4115	21
12	4639	21
13	5280	21
14	6046	21
15	6489	21
16	6993	21
17	7507	21

Stop Event

1×	node limit

Counts

114 → 113

Calls

Call 1

Inputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))

Outputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))

localize23.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
✓	1.1b	(expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))
	1.3b	(-.f64 (tan.f64 x) x)
	1.3b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 36 to 8 computations (77.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))
1.0ms	x	@	inf	(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
1.0ms	x	@	-inf	(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
0.0ms	x	@	-inf	(expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))

rewrite155.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

510×	`log-prod_binary64`
354×	`fma-def_binary64`
334×	`pow-prod-down_binary64`
271×	`pow2_binary64`
192×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	190	20
2	2955	20

Stop Event

1×	node limit

Counts

2 → 164

Calls

Call 1

Inputs
(expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))

Outputs

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

simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

597×	`div-sub_binary64`
510×	`times-frac_binary64`
375×	`fma-def_binary64`
287×	`associate-/l*_binary64`
215×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	574
1	261	498
2	865	464
3	4532	436

Stop Event

1×	node limit

Counts

188 → 192

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 62/2835 (pow.f64 x 9)) (.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))

Outputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 17/315 (pow.f64 x 7))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 62/2835 (pow.f64 x 9)) (.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 62/2835 (pow.f64 x 9)))))
(fma.f64 1/3 (pow.f64 x 3) (fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 x 9/40) -1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(+.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) -1/2)
(fma.f64 9/40 (*.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 9/40 (.f64 x x) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6)))) -1/2)
(fma.f64 x (*.f64 x 9/40) (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) -1/2)))
(fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x)))))
(fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1)
(+.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (/.f64 -1 x))))
(+.f64 1 (*.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3))) (+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 x x)))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (*.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 x 3))))))
(+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) x))))

eval532.0ms (2.4%)

Compiler: Compiled 19103 to 8223 computations (57% saved)

prune180.0ms (0.8%)

Pruning

14 alts after pruning (10 fresh and 4 done)

	Pruned	Kept	Total
New	1029	9	1038
Fresh	1	1	2
Picked	0	1	1
Done	2	3	5
Total	1032	14	1046

Error

Counts

1046 → 14

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.8b	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
✓	51.4b	(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
▶	29.0b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) 1))) 1/2)
	29.2b	-1/2
	29.0b	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/40)))) 1) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	28.6b	(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
	34.5b	1
✓	34.1b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
	29.3b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (.f64 -27/2800 (pow.f64 x 4))))))) 1/2)
✓	34.9b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
▶	29.3b	(-.f64 (+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	29.0b	(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
	35.0b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
✓	34.2b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))

Compiler

Compiled 388 to 309 computations (20.4% saved)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 x (.f64 x 9/40))
	0.1b	(*.f64 x 9/40)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(.f64 x (.f64 x 9/40))
0.0ms	x	@	inf	(.f64 x (.f64 x 9/40))
0.0ms	x	@	-inf	(.f64 x (.f64 x 9/40))

rewrite65.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

448×	`pow1_binary64`
434×	`add-sqr-sqrt_binary64`
425×	`*-un-lft-identity_binary64`
415×	`add-log-exp_binary64`
415×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	101	7
2	1141	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f64 x (.f64 x 9/40))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x 9/40))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9/40))))))))

simplify183.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))

Outputs
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f64 (.f64 x (.f64 x 9/40)) (.f64 x (*.f64 x 9/40)))
	0.1b	(.f64 x (.f64 x 9/40))
	0.1b	(*.f64 x 9/40)
✓	17.8b	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))

Compiler

Compiled 65 to 45 computations (30.8% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
1.0ms	x	@	0	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
0.0ms	x	@	inf	(.f64 (.f64 x (.f64 x 9/40)) (.f64 x (*.f64 x 9/40)))
0.0ms	x	@	0	(.f64 (.f64 x (.f64 x 9/40)) (.f64 x (*.f64 x 9/40)))
0.0ms	x	@	-inf	(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`log-prod_binary64`
351×	`fma-def_binary64`
320×	`pow2_binary64`
320×	`prod-diff_binary64`
266×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	262	18
2	3560	18

Stop Event

1×	node limit

Counts

2 → 223

Calls

Call 1

Inputs
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
(.f64 (.f64 x (.f64 x 9/40)) (.f64 x (*.f64 x 9/40)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 9/40) -1/2) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2)))) (sqrt.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 9/40 (*.f64 x x) 1/2)) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x 9/40) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) (neg.f64 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 1/4))) (fma.f64 (neg.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2))) 1/4 (*.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) 1/2)) 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(/.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 4)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 x (*.f64 x (*.f64 x 9/40))) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) (/.f64 (*.f64 x 9/40) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) 1/2))) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 -1/4)) (fma.f64 x (*.f64 x 9/40) -1/2) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) (fma.f64 (pow.f64 (*.f64 x x) 3) 729/64000 1/8)) (fma.f64 (pow.f64 (*.f64 x x) 2) 81/1600 (fma.f64 (*.f64 x x) -9/80 1/4)) (neg.f64 (/.f64 1/4 (fma.f64 9/40 (*.f64 x x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 9/40)) 2)) (cbrt.f64 (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 9/40))) (sqrt.f64 (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9/40) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9/40) (sqrt.f64 x)) (sqrt.f64 x) -1/2)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 9/40))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (*.f64 x x) 2) 81/1600)))))))

simplify194.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

1319×	`sqr-pow_binary64`
659×	`pow-sqr_binary64`
493×	`cube-prod_binary64`
400×	`fabs-mul_binary64`
384×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	171
1	25	171
2	46	171
3	101	171
4	299	171
5	1172	171
6	1931	171
7	2055	171
8	2224	171
9	2423	171
10	2694	171
11	3051	171
12	3505	171
13	4038	171
14	4662	171
15	5413	171
16	5723	171
17	5945	171
18	6141	171
19	6197	171
20	6221	171
21	7055	171
22	7968	171

Stop Event

1×	node limit

Counts

247 → 229

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))

Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))
(*.f64 81/1600 (pow.f64 x 4))

localize36.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	0.1b	(.f64 x (.f64 x 9/40))
	0.1b	(*.f64 x 9/40)
	16.9b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 91 to 71 computations (22% saved)

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.6b	(exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6))))
✓	0.9b	(-.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) 1)
✓	16.9b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 1))
✓	22.5b	(log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 115 to 97 computations (15.7% saved)

series45.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
21.0ms	x	@	inf	(log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))
20.0ms	x	@	0	(log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))
1.0ms	x	@	inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 1))
1.0ms	x	@	-inf	(log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))
0.0ms	x	@	-inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 1))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary64`
440×	`fma-def_binary64`
339×	`pow2_binary64`
270×	`fma-neg_binary64`
234×	`log1p-udef_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	328	40
2	3710	38

Stop Event

1×	node limit

Counts

4 → 227

Calls

Call 1

Inputs
(log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) 1)
(exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6))))

Outputs
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6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))) 2)) (cbrt.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 2)) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))))) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))) 1) (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))) (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))) (cbrt.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) 2))) (sqrt.f64 (cbrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))))) (sqrt.f64 (sqrt.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27/112000 (pow.f64 x 6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 6) 27/112000 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) (.f64 (.f64 x x) 27/112000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 27/112000 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 27/112000 (pow.f64 x 6)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 27/112000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (.f64 x x) (cbrt.f64 27/112000)) (cbrt.f64 (.f64 (pow.f64 x 12) 729/12544000000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 729/12544000000)) (.f64 (.f64 x x) (cbrt.f64 27/112000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) (.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) (+.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) -1) (/.f64 1 (+.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 1)) 2) (cbrt.f64 (+.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1))) (hypot.f64 1 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 27/112000 (pow.f64 x 4)) (.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 27/112000 (pow.f64 x 3)) (pow.f64 x 3) 1)))))

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

788×	`times-frac_binary64`
663×	`fma-def_binary64`
463×	`associate-/r*_binary64`
381×	`associate-l_binary64`
370×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	81	963
1	224	791
2	573	761
3	1534	681
4	7310	549

Stop Event

1×	node limit

Counts

275 → 267

Calls

Call 1

Inputs
0
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (.f64 -729/25088000000 (pow.f64 x 12)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -729/25088000000 (pow.f64 x 12)) (+.f64 (.f64 6561/1404928000000000 (pow.f64 x 18)) (*.f64 27/112000 (pow.f64 x 6))))
(+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 27/112000) (+.f64 (.f64 -6 (log.f64 (/.f64 1 x))) (.f64 112000/27 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (+.f64 (.f64 112000/27 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (*.f64 6272000000/729 (/.f64 1 (pow.f64 x 12))))
(-.f64 (+.f64 (.f64 112000/27 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 27/112000) (+.f64 (.f64 -6 (log.f64 (/.f64 1 x))) (.f64 1404928000000000/59049 (/.f64 1 (pow.f64 x 18)))))) (.f64 6272000000/729 (/.f64 1 (pow.f64 x 12))))
(+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x))))
(+.f64 (log.f64 27/112000) (+.f64 (.f64 112000/27 (/.f64 1 (pow.f64 x 6))) (.f64 -6 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 112000/27 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (*.f64 6272000000/729 (/.f64 1 (pow.f64 x 12))))
(-.f64 (+.f64 (.f64 112000/27 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 27/112000) (+.f64 (.f64 1404928000000000/59049 (/.f64 1 (pow.f64 x 18))) (.f64 -6 (log.f64 (/.f64 -1 x)))))) (.f64 6272000000/729 (/.f64 1 (pow.f64 x 12))))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x)))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))))) 1)
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))))) 1)
0
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x)))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x)))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x)))))) 1)
(-.f64 (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x)))))) 1)
(-.f64 (+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x)))))) 1)
1
(+.f64 1 (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 1 (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 1 (*.f64 27/112000 (pow.f64 x 6)))
(exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x)))))
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x))))))
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x))))))
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x))))))
(exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x)))))
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x))))))
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x))))))

Outputs
0
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (.f64 -729/25088000000 (pow.f64 x 12)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -729/25088000000 (pow.f64 x 12) (*.f64 27/112000 (pow.f64 x 6)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -729/25088000000 (pow.f64 x 12)))
(*.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 6) -729/25088000000 27/112000))
(+.f64 (.f64 -729/25088000000 (pow.f64 x 12)) (+.f64 (.f64 6561/1404928000000000 (pow.f64 x 18)) (*.f64 27/112000 (pow.f64 x 6))))
(fma.f64 -729/25088000000 (pow.f64 x 12) (fma.f64 6561/1404928000000000 (pow.f64 x 18) (*.f64 27/112000 (pow.f64 x 6))))
(fma.f64 -729/25088000000 (pow.f64 x 12) (fma.f64 27/112000 (pow.f64 x 6) (*.f64 6561/1404928000000000 (pow.f64 x 18))))
(fma.f64 (pow.f64 x 6) (fma.f64 (pow.f64 x 6) -729/25088000000 27/112000) (*.f64 6561/1404928000000000 (pow.f64 x 18)))
(+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 27/112000) (*.f64 -6 (neg.f64 (log.f64 x))))
(fma.f64 -6 (neg.f64 (log.f64 x)) (log.f64 27/112000))
(+.f64 (log.f64 27/112000) (*.f64 6 (log.f64 x)))
(fma.f64 6 (log.f64 x) (log.f64 27/112000))
(+.f64 (log.f64 27/112000) (+.f64 (.f64 -6 (log.f64 (/.f64 1 x))) (.f64 112000/27 (/.f64 1 (pow.f64 x 6)))))
(+.f64 (log.f64 27/112000) (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 112000/27 (pow.f64 x 6))))
(+.f64 (log.f64 27/112000) (+.f64 (*.f64 6 (log.f64 x)) (/.f64 112000/27 (pow.f64 x 6))))
(+.f64 (log.f64 27/112000) (fma.f64 6 (log.f64 x) (/.f64 112000/27 (pow.f64 x 6))))
(fma.f64 6 (log.f64 x) (fma.f64 112000/27 (pow.f64 x -6) (log.f64 27/112000)))
(-.f64 (+.f64 (.f64 112000/27 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (*.f64 6272000000/729 (/.f64 1 (pow.f64 x 12))))
(-.f64 (+.f64 (log.f64 27/112000) (fma.f64 -6 (neg.f64 (log.f64 x)) (/.f64 112000/27 (pow.f64 x 6)))) (/.f64 6272000000/729 (pow.f64 x 12)))
(+.f64 (fma.f64 -6 (neg.f64 (log.f64 x)) (log.f64 27/112000)) (-.f64 (/.f64 112000/27 (pow.f64 x 6)) (/.f64 6272000000/729 (pow.f64 x 12))))
(+.f64 (*.f64 6 (log.f64 x)) (-.f64 (+.f64 (log.f64 27/112000) (/.f64 112000/27 (pow.f64 x 6))) (/.f64 6272000000/729 (pow.f64 x 12))))
(+.f64 (log.f64 27/112000) (+.f64 (fma.f64 6 (log.f64 x) (/.f64 112000/27 (pow.f64 x 6))) (/.f64 -6272000000/729 (pow.f64 x 12))))
(+.f64 (fma.f64 6 (log.f64 x) (fma.f64 112000/27 (pow.f64 x -6) (log.f64 27/112000))) (/.f64 -6272000000/729 (pow.f64 x 12)))
(-.f64 (+.f64 (.f64 112000/27 (/.f64 1 (pow.f64 x 6))) (+.f64 (log.f64 27/112000) (+.f64 (.f64 -6 (log.f64 (/.f64 1 x))) (.f64 1404928000000000/59049 (/.f64 1 (pow.f64 x 18)))))) (.f64 6272000000/729 (/.f64 1 (pow.f64 x 12))))
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(+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(fma.f64 27/112000 (pow.f64 x 6) 1)
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 1 x))))))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(fma.f64 27/112000 (pow.f64 x 6) 1)
(exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x)))))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(fma.f64 27/112000 (pow.f64 x 6) 1)
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(fma.f64 27/112000 (pow.f64 x 6) 1)
(+.f64 (.f64 112000/27 (/.f64 (exp.f64 (+.f64 (log.f64 27/112000) (.f64 -6 (log.f64 (/.f64 -1 x))))) (pow.f64 x 6))) (exp.f64 (+.f64 (log.f64 27/112000) (*.f64 -6 (log.f64 (/.f64 -1 x))))))
(+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(fma.f64 27/112000 (pow.f64 x 6) 1)

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
✓	1.6b	(log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) 2))
✓	1.6b	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))
	16.9b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 164 to 118 computations (28% saved)

series167.0ms (0.8%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
65.0ms	x	@	0	(log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) 2))
64.0ms	x	@	0	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))
22.0ms	x	@	inf	(log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) 2))
15.0ms	x	@	inf	(log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))
0.0ms	x	@	-inf	(log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) 2))

rewrite54.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

865×	`pow1_binary64`
802×	`add-log-exp_binary64`
802×	`log1p-expm1-u_binary64`
802×	`expm1-log1p-u_binary64`
780×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	218	23
2	2344	23

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))
(log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)) 1/6)) (log.f64 (pow.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 2) (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) (sqrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/3 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 9/40 (*.f64 x x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))) (*.f64 1/3 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))) (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))) 2) (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))) (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) (*.f64 (sqrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (pow.f64 (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))) 2)) (cbrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sqrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))))) (sqrt.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (*.f64 1/3 (*.f64 9/40 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (-.f64 (cbrt.f64 (pow.f64 (exp.f64 9/20) (*.f64 x x))) 1))))))

simplify44.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

521×	`distribute-rgt-out_binary64`
488×	`distribute-rgt-in_binary64`
465×	`distribute-lft-in_binary64`
418×	`associate-/l*_binary64`
349×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	168
1	42	168
2	93	168
3	254	168
4	1042	168
5	3400	168

Stop Event

1×	node limit

Counts

68 → 50

Calls

Call 1

Inputs
(*.f64 3/40 (pow.f64 x 2))
(*.f64 3/40 (pow.f64 x 2))
(*.f64 3/40 (pow.f64 x 2))
(*.f64 3/40 (pow.f64 x 2))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(*.f64 3/20 (pow.f64 x 2))
(*.f64 3/20 (pow.f64 x 2))
(*.f64 3/20 (pow.f64 x 2))
(*.f64 3/20 (pow.f64 x 2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))

Outputs
(*.f64 3/40 (pow.f64 x 2))
(.f64 3/40 (.f64 x x))
(*.f64 3/40 (pow.f64 x 2))
(.f64 3/40 (.f64 x x))
(*.f64 3/40 (pow.f64 x 2))
(.f64 3/40 (.f64 x x))
(*.f64 3/40 (pow.f64 x 2))
(.f64 3/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(.f64 3/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(.f64 3/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(.f64 3/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(.f64 3/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(.f64 3/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(.f64 3/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(.f64 3/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 1/3))
(.f64 3/40 (.f64 x x))
(*.f64 3/20 (pow.f64 x 2))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(*.f64 3/20 (pow.f64 x 2))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(*.f64 3/20 (pow.f64 x 2))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(*.f64 3/20 (pow.f64 x 2))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (*.f64 9/40 (pow.f64 x 2))) 2) 1/3))
(.f64 (.f64 x x) 3/20)
(.f64 x (.f64 x 3/20))

eval817.0ms (3.7%)

Compiler: Compiled 28500 to 21674 computations (24% saved)

prune165.0ms (0.8%)

Pruning

16 alts after pruning (9 fresh and 7 done)

	Pruned	Kept	Total
New	823	6	829
Fresh	2	3	5
Picked	0	1	1
Done	2	6	8
Total	827	16	843

Error

Counts

843 → 16

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.6b	(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
	34.5b	1
▶	29.0b	(-.f64 (+.f64 (+.f64 0 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
✓	34.9b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
▶	29.0b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)
✓	29.3b	(-.f64 (+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	28.6b	(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
✓	34.2b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓	51.4b	(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
✓	34.1b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
	29.3b	(-.f64 (+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))) 2)) (.f64 3/40 (.f64 x x))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	29.2b	(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
	29.2b	-1/2
✓	29.0b	(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	35.0b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
	29.3b	(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) 1/2)

Compiler

Compiled 406 to 326 computations (19.7% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (.f64 x 9/40))
	0.1b	(*.f64 x 9/40)
✓	1.3b	(-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)

Compiler

Compiled 40 to 30 computations (25% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)
0.0ms	x	@	0	(-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)
0.0ms	x	@	-inf	(-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)

rewrite89.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

832×	`pow1_binary64`
781×	`add-log-exp_binary64`
781×	`log1p-expm1-u_binary64`
781×	`expm1-log1p-u_binary64`
769×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	177	7
2	2387	7

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 x x) 9/40 -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (*.f64 x x) 9/40 -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 9/40) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 x (*.f64 x 9/40) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) 9/40 -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 x 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 9/40 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 9/40) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 9/40)) 2) (*.f64 (cbrt.f64 (*.f64 x 9/40)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) 2) (cbrt.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 9/40)) (*.f64 (sqrt.f64 (*.f64 x 9/40)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) (+.f64 (*.f64 x (*.f64 x 9/40)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) -1) (/.f64 1 (+.f64 (*.f64 x (*.f64 x 9/40)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1) (-.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (pow.f64 (cbrt.f64 (*.f64 x 9/40)) 2)) (cbrt.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (sqrt.f64 (*.f64 x 9/40))) (sqrt.f64 (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 9/40) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x 9/40) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) (+.f64 (*.f64 x (*.f64 x 9/40)) 2)) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x (*.f64 x 9/40)) 2) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) (+.f64 (*.f64 x (*.f64 x 9/40)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) (-.f64 1 (*.f64 (fma.f64 x (*.f64 x 9/40) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) -1) (+.f64 (*.f64 x (*.f64 x 9/40)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) -1) (-.f64 (fma.f64 x (*.f64 x 9/40) 1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) (+.f64 (*.f64 x (*.f64 x 9/40)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x (*.f64 x 9/40)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 (*.f64 x x) 9/40 -1) 3)) (+.f64 1 (-.f64 (*.f64 (fma.f64 (*.f64 x x) 9/40 -1) (fma.f64 (*.f64 x x) 9/40 -1)) (fma.f64 (*.f64 x x) 9/40 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (fma.f64 (*.f64 x x) 9/40 -1) (fma.f64 (*.f64 x x) 9/40 -1))) (-.f64 1 (fma.f64 (*.f64 x x) 9/40 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 9/40)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) 9/40) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) 729/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 9/40) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) 1)) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) (hypot.f64 1 (*.f64 x (sqrt.f64 9/40))) -1)))))

simplify169.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1082×	`sqr-pow_binary64`
617×	`cube-prod_binary64`
554×	`fabs-mul_binary64`
523×	`pow-sqr_binary64`
441×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	84
1	12	84
2	23	84
3	44	84
4	105	84
5	331	84
6	1250	84
7	2123	84
8	2287	84
9	2471	84
10	2679	84
11	2976	84
12	3371	84
13	3852	84
14	4418	84
15	5102	84
16	5935	84
17	6327	84
18	6619	84
19	6895	84
20	6969	84
21	7003	84
22	7944	84

Stop Event

1×	node limit

Counts

61 → 51

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))

Outputs
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(.f64 x (.f64 9/40 x))

localize11.0ms (0%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (-.f64 (tan.f64 x) x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
	1.3b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
0.0ms	x	@	0	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))

rewrite88.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

802×	`pow1_binary64`
746×	`add-log-exp_binary64`
746×	`log1p-expm1-u_binary64`
746×	`expm1-log1p-u_binary64`
730×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	175	9
2	2518	9

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))

Outputs

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

simplify51.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

793×	`associate-/l/_binary64`
760×	`fma-def_binary64`
736×	`associate-l_binary64`
644×	`associate-r_binary64`
410×	`associate-*l/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	278
1	114	276
2	326	270
3	1704	240

Stop Event

1×	node limit

Counts

38 → 41

Calls

Call 1

Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))

Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (.f64 x x) 6/5) (/.f64 3 (.f64 x x)))
(+.f64 (fma.f64 (.f64 x x) 1/175 6/5) (/.f64 -3 (.f64 x x)))
(+.f64 6/5 (fma.f64 (.f64 x x) 1/175 (/.f64 -3 (.f64 x x))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (.f64 x x) 6/5) (.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (.f64 x x)))
(+.f64 (fma.f64 2/7875 (pow.f64 x 4) 6/5) (fma.f64 (.f64 x x) 1/175 (/.f64 -3 (.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 x x))))
(+.f64 1 (.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 x x)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) 3) (.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 x x))))
(+.f64 1 (.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (.f64 x x)))))
(+.f64 1 (+.f64 (pow.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) 3) (.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))

localize44.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	0.1b	(.f64 x (.f64 x 9/40))
	0.1b	(*.f64 x 9/40)
✓	15.0b	(+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4)))

Compiler

Compiled 58 to 44 computations (24.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(+.f64 (+.f64 0 (*.f64 x (*.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4)))

0.0ms

inf

(+.f64 (+.f64 0 (*.f64 x (*.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4)))

0.0ms

-inf

(+.f64 (+.f64 0 (*.f64 x (*.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4)))

rewrite177.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

491×	`fma-def_binary64`
485×	`log-prod_binary64`
359×	`exp-prod_binary64`
313×	`pow-prod-down_binary64`
271×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	16
1	272	14
2	3184	14

Stop Event

1×	node limit

Counts

1 → 84

Calls

Call 1

Inputs
(+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4)))

Outputs

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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 (*.f64 x x) -27/2800) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 729/7840000 (pow.f64 x 8))) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (*.f64 x x) 81/1600)) (*.f64 (cbrt.f64 (*.f64 x 9/40)) x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 8)) (*.f64 (*.f64 (cbrt.f64 x) x) -27/2800) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (*.f64 x (*.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 9/40)) (*.f64 (sqrt.f64 (*.f64 x 9/40)) x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 6) 729/64000) (/.f64 1 (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 x 6) 729/64000)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 729/7840000 (pow.f64 x 8))) (*.f64 x (*.f64 (*.f64 x 9/40) (*.f64 -27/2800 (pow.f64 x 4)))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (*.f64 (pow.f64 x 4) 81/1600)) (/.f64 1 (neg.f64 (*.f64 x (*.f64 x 9/40)))) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 81/1600 (neg.f64 (*.f64 729/7840000 (pow.f64 x 8)))) (/.f64 1 (fma.f64 x (*.f64 x 9/40) (*.f64 27/2800 (pow.f64 x 4)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (cbrt.f64 (pow.f64 x 8))) (*.f64 (cbrt.f64 x) x) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (cbrt.f64 (*.f64 (*.f64 x x) 81/1600))) (cbrt.f64 (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 (*.f64 x 9/40))) (sqrt.f64 (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9/40) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x 9/40) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -27/2800 (pow.f64 x 4)))))))

simplify185.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1057×	`sqr-pow_binary64`
538×	`fma-def_binary64`
506×	`pow-sqr_binary64`
443×	`cube-prod_binary64`
408×	`associate-l_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	147
1	23	147
2	45	147
3	114	147
4	355	147
5	1400	147
6	2650	147
7	3112	147
8	3281	147
9	3480	147
10	3751	147
11	4110	147
12	4560	147
13	5091	147
14	5721	147
15	6470	147
16	6784	147
17	7008	147
18	7208	147
19	7266	147
20	7290	147

Stop Event

1×	node limit

Counts

96 → 90

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))

Outputs
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -27/2800 9/40)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -27/2800 9/40))
(.f64 x (fma.f64 9/40 x (.f64 -27/2800 (pow.f64 x 3))))

localize69.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(.f64 x (.f64 x 9/40))
	0.1b	(*.f64 x 9/40)
	1.3b	(-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)
	16.9b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 120 to 96 computations (20% saved)

localize67.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	0.4b	(*.f64 9/40 (pow.f64 x 2))
✓	0.9b	(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) 1)
✓	16.9b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))

Compiler

Compiled 109 to 92 computations (15.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))
0.0ms	x	@	inf	(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) 1)
0.0ms	x	@	inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))
0.0ms	x	@	-inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))
0.0ms	x	@	-inf	(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) 1)

rewrite90.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`fma-def_binary64`
547×	`log-prod_binary64`
377×	`fma-neg_binary64`
340×	`pow2_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	27
1	323	21
2	4184	21

Stop Event

1×	node limit

Counts

2 → 169

Calls

Call 1

Inputs
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))
(-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 27/112000 (pow.f64 x 6) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 8) 729/7840000) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) (/.f64 (*.f64 (pow.f64 x 12) 729/12544000000) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) 2) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))) (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000)) (/.f64 1 (fma.f64 (*.f64 27/112000 (pow.f64 x 6)) (-.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 (pow.f64 x 8) 729/7840000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 12) 729/12544000000)) (/.f64 1 (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 27/112000 (pow.f64 x 6)) (-.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 (pow.f64 x 8) 729/7840000)) (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 12) 729/12544000000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000)) (fma.f64 (*.f64 27/112000 (pow.f64 x 6)) (-.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 (pow.f64 x 8) 729/7840000)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000)) (fma.f64 (pow.f64 x 12) 729/12544000000 (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 -27/2800 (*.f64 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 12) 729/12544000000)) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (*.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000))) (neg.f64 (fma.f64 (*.f64 27/112000 (pow.f64 x 6)) (-.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 (pow.f64 x 8) 729/7840000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 12) 729/12544000000))) (neg.f64 (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 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(sqrt.f64 27/112000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) (fma.f64 27/112000 (pow.f64 x 6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) -1) (/.f64 1 (fma.f64 27/112000 (pow.f64 x 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27/112000 (pow.f64 x 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 27/112000 (pow.f64 x 3)) (pow.f64 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) (fma.f64 27/112000 (pow.f64 x 6) 2)) (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 27/112000 (pow.f64 x 6) 2) (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) (fma.f64 27/112000 (pow.f64 x 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3) -1) (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) (-.f64 1 (*.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) -1) (fma.f64 27/112000 (pow.f64 x 6) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) (fma.f64 27/112000 (pow.f64 x 6) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) -1)) (neg.f64 (fma.f64 27/112000 (pow.f64 x 6) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000 0) (fma.f64 (pow.f64 x 12) 729/12544000000 (-.f64 0 (*.f64 (*.f64 27/112000 (pow.f64 x 6)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) 729/12544000000 0) (*.f64 27/112000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 27/112000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) (fma.f64 27/112000 (pow.f64 x 6) 2)) (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 27/112000 (pow.f64 x 6) 2) (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 729/12544000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 27/112000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 27/112000 (pow.f64 x 6))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 27/112000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 27/112000 (pow.f64 x 6) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 6) 27/112000 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27/112000 (pow.f64 x 6)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 27/112000 (pow.f64 x 6)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 27/112000 (pow.f64 x 6) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 27/112000) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 2) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 2) (*.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 27/112000)) (cbrt.f64 (*.f64 (pow.f64 x 12) 729/12544000000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 729/12544000000)) (*.f64 (*.f64 x x) (cbrt.f64 27/112000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 729/12544000000)) (*.f64 (*.f64 (*.f64 x x) (cbrt.f64 27/112000)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) (*.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) (*.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) (*.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) (fma.f64 27/112000 (pow.f64 x 6) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 19683/1404928000000000 1) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 12) 729/12544000000 1) (*.f64 27/112000 (pow.f64 x 6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) 1) 2) -1) (/.f64 1 (fma.f64 27/112000 (pow.f64 x 6) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 12) 729/12544000000 -1) (/.f64 1 (fma.f64 27/112000 (pow.f64 x 6) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) 1)) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27/112000 (pow.f64 x 4)) (*.f64 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 27/112000 (pow.f64 x 3)) (pow.f64 x 3) 0)))))

simplify147.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

811×	`sqr-pow_binary64`
580×	`cube-prod_binary64`
503×	`associate-l_binary64`
467×	`unswap-sqr_binary64`
440×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	231
1	23	231
2	48	231
3	117	231
4	391	231
5	1750	231
6	3196	231
7	3534	231
8	3804	231
9	4068	231
10	4414	231
11	4871	231
12	5439	231
13	6084	231
14	6848	231
15	7295	231
16	7793	231

Stop Event

1×	node limit

Counts

193 → 172

Calls

Call 1

Inputs
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))

Outputs
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(*.f64 27/112000 (pow.f64 x 6))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))

eval741.0ms (3.4%)

Compiler: Compiled 16440 to 12493 computations (24% saved)

prune147.0ms (0.7%)

Pruning

15 alts after pruning (5 fresh and 10 done)

	Pruned	Kept	Total
New	741	4	745
Fresh	3	1	4
Picked	1	0	1
Done	1	10	11
Total	746	15	761

Error

Counts

761 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	29.0b	(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/40)))) 1) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)
✓	34.1b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	35.0b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
	34.5b	1
✓	28.6b	(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
	29.3b	(-.f64 (+.f64 (+.f64 0 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) 1/2)
✓	34.2b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓	51.4b	(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
✓	29.2b	(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
	29.2b	-1/2
✓	28.6b	(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
✓	34.9b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
✓	29.3b	(-.f64 (+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
✓	29.0b	(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
	29.0b	(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)

Compiler

Compiled 235 to 187 computations (20.4% saved)

regimes215.0ms (1%)

Counts

28 → 3

Calls

Call 1

Inputs
1
1
1
-1/2
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)
(-.f64 (+.f64 (+.f64 0 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/40)))) 1) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/40)))) 1) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) 1))) 1/2)
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) 1/2)
(-.f64 (+.f64 (+.f64 0 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (.f64 -27/2800 (pow.f64 x 4))))))) 1/2)
(-.f64 (+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))) 2)) (.f64 3/40 (.f64 x x))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 9/40) (.f64 x x))))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)

Outputs

(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x 9/40))) (log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) 1/2)

(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Calls

3 calls:

138.0ms	x
13.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
11.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 478 to 362 computations (24.3% saved)

bsearch102.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	0.00010546888065621142	7469838.806382856
63.0ms	-2953.836196677259	-0.058172189929390154

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes88.0ms (0.4%)

Counts

23 → 3

Calls

Call 1

Inputs
1
1
1
-1/2
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)
(-.f64 (+.f64 (+.f64 0 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (expm1.f64 (log1p.f64 (-.f64 (tan.f64 x) x))))
(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/40)))) 1) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
(-.f64 (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x 9/40)))) 1) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) 1))) 1/2)

Outputs

(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x 9/40))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2)

(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Calls

3 calls:

40.0ms	x
34.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 329 to 239 computations (27.4% saved)

bsearch165.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
130.0ms	0.00010546888065621142	7469838.806382856
34.0ms	-2953.836196677259	-0.058172189929390154

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes79.0ms (0.4%)

Counts

15 → 3

Calls

Call 1

Inputs
1
1
1
-1/2
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)

Outputs

(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

(-.f64 (+.f64 (+.f64 0 (*.f64 x (*.f64 x 9/40))) (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)

(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Calls

3 calls:

65.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 153 to 96 computations (37.3% saved)

bsearch86.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	0.00010546888065621142	7469838.806382856
47.0ms	-2953.836196677259	-0.058172189929390154

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes68.0ms (0.3%)

Counts

14 → 3

Calls

Call 1

Inputs
1
1
1
-1/2
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))

Outputs
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Calls

3 calls:

53.0ms	x
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.4b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 132 to 79 computations (40.2% saved)

bsearch74.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	0.00010546888065621142	7469838.806382856
37.0ms	-0.058172189929390154	-3.442060997782158e-5

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes141.0ms (0.6%)

Counts

11 → 3

Calls

Call 1

Inputs
1
1
1
-1/2
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)

Outputs
1
(-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))

Calls

1 calls:

138.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 83 to 58 computations (30.1% saved)

bsearch232.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
169.0ms	0.00010546888065621142	7469838.806382856
64.0ms	-2953.836196677259	-0.058172189929390154

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes23.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

Inputs
1
1
1
-1/2
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
(fma.f64 x (*.f64 x 9/40) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))

Outputs
1
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))

Calls

1 calls:

20.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 68 to 46 computations (32.4% saved)

bsearch75.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
36.0ms	0.00010546888065621142	7469838.806382856
39.0ms	-2953.836196677259	-0.058172189929390154

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes39.0ms (0.2%)

Counts

8 → 3

Calls

Call 1

Inputs
1
1
1
-1/2
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
(+.f64 (-.f64 (+.f64 1 (.f64 x (.f64 x 9/40))) 1) -1/2)
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x 9/40)) (.f64 x (.f64 x 9/40))) 1/4) (-.f64 (.f64 x (*.f64 x 9/40)) -1/2))
(fma.f64 x (*.f64 x 9/40) -1/2)

Outputs
1
(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
1

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
0.4b	3	`x`

Compiler

Compiled 52 to 39 computations (25% saved)

bsearch117.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	0.00010546888065621142	7469838.806382856
54.0ms	-2953.836196677259	-0.058172189929390154

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes28.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

Inputs
1
1
1
-1/2

Outputs
1
-1/2
1

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 7 to 6 computations (14.3% saved)

bsearch123.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	0.00010546888065621142	7469838.806382856
64.0ms	-2953.836196677259	-0.058172189929390154

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes10.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

3 → 1

Calls

Call 1

Inputs
1
1
1

Outputs
1

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
34.5b	1	`x`

Compiler

Compiled 6 to 5 computations (16.7% saved)

simplify32.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
9×	`sub-neg_binary64`
7×	`*-commutative_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	389
1	100	389
2	111	389
3	114	389
4	115	389

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1945557449205748/18446744073709551616) (-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1945557449205748/18446744073709551616) (-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1945557449205748/18446744073709551616) (-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1073087499834684288/18446744073709551616) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1945557449205748/18446744073709551616) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 1945557449205748/18446744073709551616) (-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 1945557449205748/18446744073709551616) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 1945557449205748/18446744073709551616) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 1945557449205748/18446744073709551616) -1/2 1))
1

Outputs
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1945557449205748/18446744073709551616) (-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 486389362301437/4611686018427387904) (+.f64 (+.f64 (.f64 x (.f64 x 9/40)) (log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 27/112000 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1945557449205748/18446744073709551616) (-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) 1) 1))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 486389362301437/4611686018427387904) (+.f64 (+.f64 (.f64 x (.f64 x 9/40)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (+.f64 (+.f64 1 (.f64 27/112000 (pow.f64 x 6))) -1))) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1945557449205748/18446744073709551616) (-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 486389362301437/4611686018427387904) (+.f64 (+.f64 (.f64 x (.f64 x 9/40)) (+.f64 (.f64 27/112000 (pow.f64 x 6)) (.f64 -27/2800 (pow.f64 x 4)))) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1073087499834684288/18446744073709551616) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1945557449205748/18446744073709551616) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8383496092458471/144115188075855872) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 486389362301437/4611686018427387904) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 1945557449205748/18446744073709551616) (-.f64 (+.f64 (+.f64 0 (.f64 x (.f64 x 9/40))) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 486389362301437/4611686018427387904) (+.f64 (+.f64 (.f64 x (.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 486389362301437/4611686018427387904) (+.f64 -1/2 (+.f64 (.f64 x (.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 1945557449205748/18446744073709551616) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 486389362301437/4611686018427387904) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 1945557449205748/18446744073709551616) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 486389362301437/4611686018427387904) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 1945557449205748/18446744073709551616) -1/2 1))
(if (<=.f64 x -1623888622396141/549755813888) 1 (if (<=.f64 x 486389362301437/4611686018427387904) -1/2 1))
1

Compiler

Compiled 269 to 174 computations (35.3% saved)

soundness596.0ms (2.7%)

Algorithm

2×	egg-herbie

Rules

583×	`fma-neg_binary64`
583×	`fma-neg_binary64`
430×	`fma-def_binary64`
430×	`fma-def_binary64`
418×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	14
1	14	14
2	24	14
3	41	14
4	75	14
5	130	14
6	260	14
7	546	14
8	1420	14
9	2566	14
10	3392	14
11	3757	14
12	3886	14
13	3913	14
14	3923	14
15	3927	14
16	3927	14
0	7	14
1	14	14
2	24	14
3	41	14
4	75	14
5	130	14
6	260	14
7	546	14
8	1420	14
9	2566	14
10	3392	14
11	3757	14
12	3886	14
13	3913	14
14	3923	14
15	3927	14
16	3927	14

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 392 to 264 computations (32.7% saved)

end137.0ms (0.6%)

Compiler: Compiled 261 to 145 computations (44.4% saved)