Details

analyze467.0ms (2.4%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
0%	0%	100%	0%	0%	0%	0%	3
0%	0%	100%	0%	0%	0%	0%	4
0%	0%	100%	0%	0%	0%	0%	5
0%	0%	100%	0%	0%	0%	0%	6
0%	0%	100%	0%	0%	0%	0%	7
0%	0%	100%	0%	0%	0%	0%	8
0%	0%	100%	0%	0%	0%	0%	9
0%	0%	100%	0%	0%	0%	0%	10
0%	0%	100%	0%	0%	0%	0%	11
0%	0%	100%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample10.5s (54.6%)

Results

6.9s	2124×	body	2048	valid
2.3s	3039×	body	1024	valid
746.0ms	1566×	body	512	valid
306.0ms	1426×	body	256	valid
210.0ms	101×	body	4096	valid

Bogosity

preprocess126.0ms (0.7%)

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)

simplify117.0ms (0.6%)

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

33.6b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.6b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Compiler

Compiled 10 to 6 computations (40% saved)

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	2.2b	(-.f64 (sin.f64 x) x)
✓	2.3b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 23 to 6 computations (73.9% saved)

series7.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	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 (tan.f64 x) x)
1.0ms	x	@	inf	(-.f64 (tan.f64 x) x)
1.0ms	x	@	-inf	(-.f64 (tan.f64 x) x)

rewrite212.0ms (1.1%)

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	26
1	169	26
2	2745	26

Stop Event

1×	node limit

Counts

3 → 417

Calls

Call 1

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

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

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(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 (/.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))))))))

simplify102.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

597×	`div-sub_binary64`
510×	`times-frac_binary64`
489×	`fma-def_binary64`
284×	`associate-/l*_binary64`
218×	`distribute-neg-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	698
1	295	610
2	964	576
3	4842	548

Stop Event

1×	node limit

Counts

453 → 455

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))
(*.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))
-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 2/15 (pow.f64 x 5) (fma.f64 1/3 (pow.f64 x 3) (*.f64 17/315 (pow.f64 x 7))))
(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 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)
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/120))
(fma.f64 (pow.f64 x 3) -1/6 (*.f64 (pow.f64 x 5) 1/120))
(+.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 (pow.f64 x 7) -1/5040)))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 (*.f64 (pow.f64 x 7) -1/5040)))
(+.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 (pow.f64 x 7) -1/5040))))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 9) 1/362880 (fma.f64 (pow.f64 x 5) 1/120 (*.f64 (pow.f64 x 7) -1/5040))))
(fma.f64 (pow.f64 x 3) -1/6 (fma.f64 (pow.f64 x 5) 1/120 (fma.f64 (pow.f64 x 7) -1/5040 (*.f64 (pow.f64 x 9) 1/362880))))
(*.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)
-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 1 (/.f64 (sin.f64 x) (.f64 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 (+.f64 1 (/.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 (sin.f64 x) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 x 3)))))
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 (sin.f64 x) (.f64 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 (+.f64 1 (/.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 (sin.f64 x) (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 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 x 3)))))

eval309.0ms (1.6%)

Compiler: Compiled 16335 to 4913 computations (69.9% saved)

prune164.0ms (0.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	449	6	455
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	449	7	456

Error

Counts

456 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.1b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
▶	33.5b	(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
▶	29.5b	(fma.f64 x (*.f64 x 9/40) -1/2)
	29.9b	-1/2
✓	33.6b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶	33.7b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
	34.0b	1

Compiler

Compiled 55 to 40 computations (27.3% saved)

localize37.0ms (0.2%)

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))
	2.2b	(-.f64 (sin.f64 x) x)
	2.3b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 32 to 11 computations (65.6% saved)

series10.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 1 (-.f64 (tan.f64 x) x))
2.0ms	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))

rewrite89.0ms (0.5%)

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

Outputs

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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 log1p.f64 (expm1.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))))))

simplify76.0ms (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))))

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 x 2)
✓	0.1b	(*.f64 9/40 (pow.f64 x 2))
✓	0.3b	(*.f64 -27/2800 (pow.f64 x 4))
✓	16.3b	(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))

Compiler

Compiled 47 to 38 computations (19.1% saved)

series5.0ms (0%)

Counts

4 → 6

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
1.0ms	x	@	0	(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
1.0ms	x	@	-inf	(pow.f64 x 2)
0.0ms	x	@	inf	(*.f64 -27/2800 (pow.f64 x 4))
0.0ms	x	@	inf	(*.f64 9/40 (pow.f64 x 2))

rewrite70.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

446×	`log-prod_binary64`
335×	`exp-prod_binary64`
304×	`fma-def_binary64`
298×	`prod-exp_binary64`
269×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	239	32
2	2733	32

Stop Event

1×	node limit

Counts

4 → 149

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (.f64 x x) (.f64 27/2800 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 729/7840000) (fma.f64 9/40 (.f64 x x) (.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))) (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))) 2) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))))))) (#(struct:change #<rule 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2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (.f64 (pow.f64 x 8) 729/7840000)) (.f64 (.f64 9/40 (.f64 x x)) (.f64 -27/2800 (pow.f64 x 4)))) (fma.f64 (pow.f64 x 12) -19683/21952000000 (.f64 (pow.f64 x 6) 729/64000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 9/40 (.f64 x x) (.f64 27/2800 (pow.f64 x 4))) (-.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) 729/7840000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))))) (sqrt.f64 (log.f64 (fma.f64 -27/2800 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -27/2800 (.f64 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -27/2800 (pow.f64 x 4)) 1 (.f64 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (.f64 9/40 (.f64 x x)) (.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 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 (cbrt.f64 x) x) (.f64 (pow.f64 (cbrt.f64 x) 2) 9/40) (.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 8) (.f64 (.f64 (cbrt.f64 x) x) -27/2800) (.f64 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 9/40 (.f64 x x))) (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 9/40 (.f64 x x))) (.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (.f64 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (.f64 9/40 (.f64 x x)))))) (#(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 (.f64 x x) (sqrt.f64 -27/2800)) (.f64 (.f64 x x) (sqrt.f64 -27/2800)) (.f64 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9/40 x) x (.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 9/40 (.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -27/2800 (.f64 x x)) (.f64 x x) (.f64 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (.f64 -27/2800 (pow.f64 (cbrt.f64 x) 8)) (.f64 (cbrt.f64 x) x) (.f64 9/40 (.f64 x x)))))))
((#(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 -27/2800) (pow.f64 x 4))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))))) (#(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 pow.f64 (exp.f64 1) (log.f64 (.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4)))))))) (#(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 -27/2800) (pow.f64 x 4)))))) (#(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 log1p.f64 (expm1.f64 (.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (.f64 x x) (sqrt.f64 -27/2800))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 12) -19683/21952000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 9/40 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40)) 2)) (log.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))) (log.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 9/40 (.f64 x x)) 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 (cbrt.f64 (.f64 9/40 (.f64 x x))) 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 x 6) 729/64000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (.f64 9/40 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 9/40 (.f64 x x)))) 2)) (cbrt.f64 (log.f64 (.f64 9/40 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 9/40 (.f64 x x))))) (sqrt.f64 (log.f64 (.f64 9/40 (.f64 x x)))))))) (#(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 (pow.f64 (exp.f64 x) x) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 9/40 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 6) 729/64000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 9/40 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 9/40 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 9/40 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 9/40 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 9/40 (.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x (sqrt.f64 9/40))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 (pow.f64 x 6) 729/64000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 9/40 (.f64 x x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 9/40 (*.f64 x x))) 3) 1/3))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x x)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 x) x) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 x) (pow.f64 x 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x 3/2) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 8)) (sqrt.f64 (.f64 (cbrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 x) 5) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (.f64 x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 4 (log.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 6 (log.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 2 (log.f64 (cbrt.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (log.f64 (.f64 x x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 (.f64 4 (log.f64 x)) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (log.f64 x) (.f64 (log.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 (log.f64 x) 1) (.f64 (log.f64 x) 1)))))))

simplify192.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	63
1	22	63
2	45	63
3	114	63
4	355	63
5	1427	63
6	2658	63
7	3120	63
8	3289	63
9	3488	63
10	3761	63
11	4118	63
12	4568	63
13	5099	63
14	5729	63
15	6484	63
16	6794	63
17	7018	63
18	7216	63
19	7270	63
20	7292	63

Stop Event

1×	node limit

Counts

155 → 154

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 -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 -27/2800 (pow.f64 x 4))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
	2.2b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 17 to 5 computations (70.6% saved)

series3.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

771×	`pow1_binary64`
723×	`add-log-exp_binary64`
722×	`log1p-expm1-u_binary64`
722×	`expm1-log1p-u_binary64`
706×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	141	9
2	2413	9

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs

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

simplify80.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

628×	`associate-/l/_binary64`
478×	`distribute-lft-out_binary64`
469×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
360×	`associate-l_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	29	138
1	67	126
2	150	126
3	460	126
4	2076	126
5	4597	126
6	5386	126
7	7923	126

Stop Event

1×	node limit

Counts

48 → 47

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (.f64 1/6 (.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 -1/120 (pow.f64 x 4)))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -1/120 1/6))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/120) 1/6))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (.f64 1/5040 (pow.f64 x 6))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -1/120 1/6) (*.f64 1/5040 (pow.f64 x 6)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (.f64 x x) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (.f64 -1/362880 (pow.f64 x 8)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1/362880 -1/120) (.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) (.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f64 x (*.f64 x 9/40) -1/2)
✓	0.2b	(*.f64 x 9/40)

Compiler

Compiled 13 to 9 computations (30.8% saved)

series6.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 x 9/40)
1.0ms	x	@	-inf	(*.f64 x 9/40)
1.0ms	x	@	0	(fma.f64 x (*.f64 x 9/40) -1/2)
1.0ms	x	@	inf	(fma.f64 x (*.f64 x 9/40) -1/2)
1.0ms	x	@	inf	(*.f64 x 9/40)

rewrite61.0ms (0.3%)

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 log1p.f64 (expm1.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 +.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 log1p.f64 (expm1.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)))))))

simplify188.0ms (1%)

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)

eval627.0ms (3.3%)

Compiler: Compiled 11442 to 5618 computations (50.9% saved)

prune379.0ms (2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	661	7	668
Fresh	1	1	2
Picked	1	0	1
Done	2	2	4
Total	665	10	675

Error

Counts

675 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	34.0b	1
▶	33.5b	(-.f64 1 (/.f64 (sin.f64 x) x))
▶	57.7b	(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
▶	34.1b	(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
	29.9b	-1/2
	30.1b	(-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
✓	33.6b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	33.7b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
▶	29.5b	(-.f64 (.f64 9/40 (.f64 x x)) 1/2)
▶	29.5b	(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)

Compiler

Compiled 140 to 102 computations (27.1% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)
✓	0.0b	(+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2))
	0.1b	(fma.f64 x (*.f64 x 9/40) -1/2)
	0.2b	(*.f64 x 9/40)

Compiler

Compiled 32 to 24 computations (25% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite124.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

913×	`pow1_binary64`
858×	`add-log-exp_binary64`
858×	`log1p-expm1-u_binary64`
858×	`expm1-log1p-u_binary64`
845×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	198	18
2	2553	18

Stop Event

1×	node limit

Counts

2 → 77

Calls

Call 1

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

Outputs

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

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

simplify184.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	192
1	20	174
2	34	174
3	61	174
4	127	174
5	366	174
6	1330	174
7	2257	174
8	2421	174
9	2605	174
10	2813	174
11	3113	174
12	3504	174
13	3989	174
14	4557	174
15	5249	174
16	6086	174
17	6476	174
18	6762	174
19	7036	174
20	7106	174
21	7140	174

Stop Event

1×	node limit

Counts

101 → 85

Calls

Call 1

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

localize13.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 10 computations (47.4% saved)

series159.0ms (0.8%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
157.0ms	x	@	inf	(.f64 9/40 (.f64 x x))
1.0ms	x	@	0	(.f64 9/40 (.f64 x x))
1.0ms	x	@	-inf	(.f64 9/40 (.f64 x x))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

432×	`pow1_binary64`
421×	`add-sqr-sqrt_binary64`
411×	`*-un-lft-identity_binary64`
402×	`add-log-exp_binary64`
402×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	102	7
2	1148	7

Stop Event

1×	node limit

Counts

1 → 14

Calls

Call 1

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

Outputs

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

simplify210.0ms (1.1%)

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

26 → 16

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))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(/.f64 (sin.f64 x) x)
✓	2.2b	(-.f64 1 (/.f64 (sin.f64 x) x))

Compiler

Compiled 15 to 6 computations (60% saved)

series5.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite101.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

716×	`pow1_binary64`
667×	`add-log-exp_binary64`
667×	`log1p-expm1-u_binary64`
667×	`expm1-log1p-u_binary64`
654×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	15
1	128	15
2	1724	15

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

Outputs

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

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

simplify78.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

614×	`distribute-lft-out_binary64`
596×	`distribute-rgt-out_binary64`
527×	`fma-def_binary64`
484×	`associate-l_binary64`
482×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	190
1	95	176
2	224	174
3	682	172
4	2923	172
5	5585	172
6	7596	172

Stop Event

1×	node limit

Counts

74 → 75

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (.f64 1/6 (.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 -1/120 (pow.f64 x 4)))
(.f64 x (.f64 x (fma.f64 (*.f64 x x) -1/120 1/6)))
(.f64 (.f64 x x) (fma.f64 x (*.f64 x -1/120) 1/6))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -1/120 1/6))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) (.f64 1/6 (.f64 x x))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (.f64 -1/120 (pow.f64 x 4))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (.f64 x x) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 -1/362880 (pow.f64 x 8) (.f64 1/6 (.f64 x x)))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1/362880 -1/120) (fma.f64 1/5040 (pow.f64 x 6) (.f64 1/6 (.f64 x x))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) (.f64 -1/362880 (pow.f64 x 8)))))
(fma.f64 1/6 (.f64 x x) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1/362880 -1/120) (.f64 1/5040 (pow.f64 x 6))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 x (*.f64 x -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 (pow.f64 x 4) 1/120)))
(+.f64 1 (fma.f64 (.f64 x x) -1/6 (.f64 (pow.f64 x 4) 1/120)))
(fma.f64 (pow.f64 x 4) 1/120 (fma.f64 (*.f64 x x) -1/6 1))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/120 -1/6) 1)
(fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 4) 1/120 1))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 (pow.f64 x 4) 1/120))))
(+.f64 1 (fma.f64 (.f64 x x) -1/6 (fma.f64 (pow.f64 x 4) 1/120 (.f64 (pow.f64 x 6) -1/5040))))
(+.f64 (fma.f64 (.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 6) -1/5040 (.f64 (pow.f64 x 4) 1/120)))
(fma.f64 (pow.f64 x 4) 1/120 (fma.f64 (pow.f64 x 6) -1/5040 (fma.f64 x (*.f64 x -1/6) 1)))
(fma.f64 x (*.f64 x -1/6) (fma.f64 (pow.f64 x 6) -1/5040 (fma.f64 (pow.f64 x 4) 1/120 1)))

localize15.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x (sin.f64 x)) x)

Compiler

Compiled 21 to 5 computations (76.2% saved)

series5.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(/.f64 (+.f64 x (sin.f64 x)) x)
1.0ms	x	@	-inf	(/.f64 (+.f64 x (sin.f64 x)) x)
1.0ms	x	@	0	(/.f64 (+.f64 x (sin.f64 x)) x)

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

730×	`pow1_binary64`
683×	`add-log-exp_binary64`
683×	`log1p-expm1-u_binary64`
683×	`expm1-log1p-u_binary64`
668×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	9
1	115	9
2	1782	9

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 (+.f64 x (sin.f64 x)) x)

Outputs

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

simplify132.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1583×	`fma-def_binary64`
599×	`sqr-pow_binary64`
433×	`associate-/r*_binary64`
399×	`*-commutative_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	53	106
2	114	104
3	318	102
4	1160	102
5	2922	102
6	3545	102
7	3955	102
8	4378	102
9	5118	102
10	5452	102
11	6781	102
12	7245	102
13	7803	102

Stop Event

1×	node limit

Counts

43 → 40

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))

Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (.f64 1/120 (pow.f64 x 4))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/120 -1/6) 2)
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (.f64 -1/5040 (pow.f64 x 6)))))
(fma.f64 -1/5040 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/120 -1/6) 2))
(fma.f64 x (fma.f64 1/120 (pow.f64 x 3) (*.f64 -1/6 x)) (fma.f64 -1/5040 (pow.f64 x 6) 2))
(fma.f64 -1/6 (.f64 x x) (fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -1/5040) 1/120) 2))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))

localize17.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))

Compiler

Compiled 20 to 9 computations (55% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
0.0ms	x	@	inf	(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))

rewrite84.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

866×	`pow1_binary64`
810×	`add-log-exp_binary64`
810×	`log1p-expm1-u_binary64`
810×	`expm1-log1p-u_binary64`
790×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	155	9
2	2272	9

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))

Outputs

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

simplify123.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1583×	`fma-def_binary64`
599×	`sqr-pow_binary64`
433×	`associate-/r*_binary64`
399×	`*-commutative_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	53	106
2	114	104
3	318	102
4	1160	102
5	2922	102
6	3545	102
7	3955	102
8	4378	102
9	5118	102
10	5452	102
11	6781	102
12	7245	102
13	7803	102

Stop Event

1×	node limit

Counts

55 → 51

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))

Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (.f64 1/120 (pow.f64 x 4))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/120 -1/6) 2)
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (.f64 -1/5040 (pow.f64 x 6)))))
(fma.f64 -1/5040 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/120 -1/6) 2))
(fma.f64 x (fma.f64 1/120 (pow.f64 x 3) (*.f64 -1/6 x)) (fma.f64 -1/5040 (pow.f64 x 6) 2))
(fma.f64 -1/6 (.f64 x x) (fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -1/5040) 1/120) 2))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))

eval97.0ms (0.5%)

Compiler: Compiled 4097 to 2632 computations (35.8% saved)

prune46.0ms (0.2%)

Pruning

13 alts after pruning (7 fresh and 6 done)

	Pruned	Kept	Total
New	300	5	305
Fresh	1	2	3
Picked	0	1	1
Done	1	5	6
Total	302	13	315

Error

Counts

315 → 13

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.0b	(/.f64 (+.f64 x (sin.f64 x)) x)
	29.9b	-1/2
✓	33.7b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
	34.0b	1
✓	57.7b	(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
✓	34.1b	(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
▶	57.7b	(neg.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
▶	33.5b	(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
▶	29.5b	(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
▶	30.1b	(-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
✓	33.6b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	29.5b	(-.f64 (.f64 9/40 (.f64 x x)) 1/2)
✓	33.5b	(-.f64 1 (/.f64 (sin.f64 x) x))

Compiler

Compiled 166 to 122 computations (26.5% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
✓	0.1b	(.f64 x (.f64 x 9/40))
	0.2b	(*.f64 x 9/40)

Compiler

Compiled 29 to 21 computations (27.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 x (.f64 x 9/40))
0.0ms	x	@	inf	(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
0.0ms	x	@	0	(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
0.0ms	x	@	inf	(.f64 x (.f64 x 9/40))
0.0ms	x	@	-inf	(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)

rewrite71.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

609×	`unpow-prod-down_binary64`
409×	`log-prod_binary64`
295×	`fma-def_binary64`
283×	`prod-diff_binary64`
249×	`pow-prod-down_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	200	15
2	2489	15

Stop Event

1×	node limit

Counts

2 → 94

Calls

Call 1

Inputs
(.f64 x (.f64 x 9/40))
(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)

Outputs

((#(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 x) (*.f64 x 9/40))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))))))) (#(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 81/1600 (pow.f64 x 4)) 1/2)))) (#(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 729/64000 (pow.f64 x 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))))) (#(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 log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 729/64000 (pow.f64 x 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 log1p.f64 (expm1.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 exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (sqrt.f64 9/40))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 729/64000 (pow.f64 x 6))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 9/40))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x 9/40))) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (fma.f64 9/40 (*.f64 x x) -5/2)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) -5/2)))))) (#(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 (fma.f64 x (*.f64 x 9/40) -1/2) 1)))) (#(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 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (pow.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -3/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1) (/.f64 1 (fma.f64 9/40 (*.f64 x x) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1) (pow.f64 (/.f64 1 (fma.f64 9/40 (*.f64 x x) -5/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (fma.f64 x (*.f64 x 9/40) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x 9/40) -1/2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) -1/2) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2))) 2) 3) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -3/2))) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9/40 (*.f64 x x) -5/2) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (fma.f64 9/40 (*.f64 x x) -3/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1) (fma.f64 9/40 (*.f64 x x) -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -3/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1)) (neg.f64 (fma.f64 9/40 (*.f64 x x) -5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 6) 729/64000 -1/8) (fma.f64 (pow.f64 x 4) 81/1600 (-.f64 1/4 (*.f64 (*.f64 x (*.f64 x 9/40)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2)) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 4) 81/1600 -1/4) (fma.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) 2) 1/2)))) (#(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 pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) (-.f64 1 (fma.f64 9/40 (*.f64 x x) -3/2))) (+.f64 1 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 9/40 (*.f64 x x) -5/2) (+.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 2) -1)) -1)))) (#(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 log.f64 (+.f64 1 (expm1.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 log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9/40) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -3/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 x 9/40) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/40 (*.f64 x x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x 9/40) x -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (*.f64 x 9/40)) 1 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 9/40 (*.f64 x x) -3/2) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 9/40 (*.f64 x x) -3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 9/40 -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 x (*.f64 x 9/40))) (cbrt.f64 (*.f64 81/1600 (pow.f64 x 4))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 81/1600 (pow.f64 x 4))) (cbrt.f64 (*.f64 x (*.f64 x 9/40))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 2) (*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 x 9/40)) 2) (*.f64 (cbrt.f64 (*.f64 x 9/40)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 9/40)) (*.f64 x (sqrt.f64 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (*.f64 x 9/40)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) (*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -3/2)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 x 9/40)) (*.f64 (sqrt.f64 (*.f64 x 9/40)) x) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 6) 729/64000 -27/8) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 9/4) (*.f64 (*.f64 x x) -27/80))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (pow.f64 x 4) 81/1600 -9/4) (/.f64 1 (fma.f64 9/40 (*.f64 x x) 3/2)) 1)))) (#(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)))))

simplify167.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	171
1	18	171
2	30	171
3	54	171
4	117	171
5	351	171
6	1264	171
7	2167	171
8	2331	171
9	2515	171
10	2723	171
11	3023	171
12	3418	171
13	3897	171
14	4465	171
15	5157	171
16	5992	171
17	6386	171
18	6674	171
19	6950	171
20	7026	171
21	7062	171

Stop Event

1×	node limit

Counts

118 → 98

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

localize8.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x (sin.f64 x)) x)

Compiler

Compiled 14 to 4 computations (71.4% saved)

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(/.f64 (sin.f64 x) x)
✓	2.2b	(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
✓	2.9b	(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)

Compiler

Compiled 33 to 16 computations (51.5% saved)

series18.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
0.0ms	x	@	0	(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
0.0ms	x	@	-inf	(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
0.0ms	x	@	0	(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
0.0ms	x	@	inf	(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)

rewrite198.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`unpow-prod-down_binary64`
611×	`prod-diff_binary64`
417×	`fma-def_binary64`
386×	`log-prod_binary64`
220×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	27
1	191	15
2	3040	15

Stop Event

1×	node limit

Counts

2 → 191

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))

Outputs

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fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (/.f64 (sin.f64 x) x))) (sqrt.f64 (/.f64 (sin.f64 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)) 1)))))

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

614×	`distribute-lft-out_binary64`
595×	`distribute-rgt-out_binary64`
527×	`fma-def_binary64`
482×	`distribute-rgt-in_binary64`
471×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	238
1	95	224
2	224	222
3	685	220
4	2934	220
5	5597	220
6	7605	220

Stop Event

1×	node limit

Counts

215 → 208

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))

Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 1/120 (pow.f64 x 4))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 1))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/120) -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (.f64 -1/5040 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/6 (.f64 x x) 1) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 1/120 (pow.f64 x 4))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (fma.f64 -1/5040 (pow.f64 x 6) 1)))
(fma.f64 (.f64 x x) (fma.f64 x (.f64 x 1/120) -1/6) (fma.f64 -1/5040 (pow.f64 x 6) 1))
(fma.f64 1/120 (pow.f64 x 4) (fma.f64 -1/5040 (pow.f64 x 6) (fma.f64 -1/6 (*.f64 x x) 1)))
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(/.f64 (sin.f64 x) x)
(*.f64 1/6 (pow.f64 x 2))
(.f64 (.f64 x x) 1/6)
(.f64 x (.f64 x 1/6))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (.f64 (.f64 x x) 1/6))
(fma.f64 (.f64 x x) 1/6 (.f64 (pow.f64 x 4) -1/120))
(fma.f64 x (.f64 x 1/6) (.f64 (pow.f64 x 4) -1/120))
(.f64 (.f64 x x) (fma.f64 (*.f64 x x) -1/120 1/6))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 6) 1/5040)))
(fma.f64 (pow.f64 x 4) -1/120 (fma.f64 (.f64 x x) 1/6 (.f64 (pow.f64 x 6) 1/5040)))
(fma.f64 x (.f64 x 1/6) (fma.f64 (pow.f64 x 6) 1/5040 (.f64 (pow.f64 x 4) -1/120)))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -1/120 1/6) (*.f64 (pow.f64 x 6) 1/5040))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (.f64 x x) (.f64 (pow.f64 x 6) 1/5040))))
(fma.f64 (pow.f64 x 4) -1/120 (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 (.f64 x x) 1/6 (.f64 (pow.f64 x 6) 1/5040))))
(fma.f64 (pow.f64 x 4) -1/120 (fma.f64 (pow.f64 x 6) 1/5040 (fma.f64 x (.f64 x 1/6) (.f64 -1/362880 (pow.f64 x 8)))))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) -1/120 1/6) (fma.f64 (pow.f64 x 6) 1/5040 (*.f64 -1/362880 (pow.f64 x 8))))
(fma.f64 x (.f64 x 1/6) (fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) -1/362880 -1/120) (.f64 (pow.f64 x 6) 1/5040)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))

localize17.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (+.f64 x (sin.f64 x)) x)
✓	0.0b	(-.f64 (+.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x)) 1)

Compiler

Compiled 44 to 16 computations (63.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite164.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

923×	`prod-diff_binary64`
522×	`fma-def_binary64`
406×	`log-prod_binary64`
246×	`fma-neg_binary64`
232×	`pow2_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	190	9
2	2990	9

Stop Event

1×	node limit

Counts

1 → 108

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x)) 1)

Outputs

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

simplify117.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1583×	`fma-def_binary64`
599×	`sqr-pow_binary64`
433×	`associate-/r*_binary64`
399×	`*-commutative_binary64`
326×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	108
1	53	106
2	114	104
3	318	102
4	1160	102
5	2922	102
6	3545	102
7	3955	102
8	4378	102
9	5118	102
10	5452	102
11	6781	102
12	7245	102
13	7803	102

Stop Event

1×	node limit

Counts

120 → 117

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))

Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (.f64 1/120 (pow.f64 x 4))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2))
(fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/120 -1/6) 2)
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (.f64 -1/5040 (pow.f64 x 6)))))
(fma.f64 -1/5040 (pow.f64 x 6) (fma.f64 (.f64 x x) (fma.f64 (.f64 x x) 1/120 -1/6) 2))
(fma.f64 x (fma.f64 1/120 (pow.f64 x 3) (*.f64 -1/6 x)) (fma.f64 -1/5040 (pow.f64 x 6) 2))
(fma.f64 -1/6 (.f64 x x) (fma.f64 (pow.f64 x 4) (fma.f64 x (.f64 x -1/5040) 1/120) 2))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))

localize40.0ms (0.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(.f64 9/40 (.f64 x x))
	0.3b	(*.f64 -27/2800 (pow.f64 x 4))
✓	16.3b	(+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))

Compiler

Compiled 46 to 30 computations (34.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms	x	@	inf	(+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

447×	`log-prod_binary64`
340×	`prod-exp_binary64`
338×	`exp-prod_binary64`
334×	`fma-def_binary64`
280×	`pow-prod-down_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	219	14
2	2644	14

Stop Event

1×	node limit

Counts

1 → 70

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 729/7840000) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (cbrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2)) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.f64 729/64000 (pow.f64 x 6))) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)) (/.f64 1 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))) (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.f64 729/64000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.f64 729/64000 (pow.f64 x 6))) (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.f64 729/64000 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 729/7840000 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)) (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.f64 729/64000 (pow.f64 x 6)))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000))) (neg.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 4) 81/1600)) (-.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 9/40 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 4) 81/1600 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 (*.f64 (*.f64 9/40 (*.f64 x x)) -27/2800) (pow.f64 x 4))) (fma.f64 (pow.f64 x 12) -19683/21952000000 (*.f64 729/64000 (pow.f64 x 6)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 9/40 (*.f64 x x) (*.f64 27/2800 (pow.f64 x 4))) (-.f64 (*.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 2)) (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (*.f64 9/40 x)) x) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (exp.f64 (*.f64 9/40 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.f64 9/40 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 9/40 (*.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x (*.f64 9/40 x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(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 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 x x)) 1 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -27/2800 (pow.f64 x 4) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) -27/2800 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1 (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 9/40 (*.f64 x x)) (*.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 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 x) x) (*.f64 (pow.f64 (cbrt.f64 x) 2) 9/40) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 8) (*.f64 (*.f64 (cbrt.f64 x) x) -27/2800) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) (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 9/40 (*.f64 x x))) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 9/40 (*.f64 x x)))))) (#(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 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 x) x (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 9/40 (*.f64 (cbrt.f64 x) x)) (pow.f64 (cbrt.f64 x) 2) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9/40 x) 1) x (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 9/40 x) (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 9/40 x) (sqrt.f64 x)) (sqrt.f64 x) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 x x) (*.f64 9/40 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 (pow.f64 (cbrt.f64 x) 8)) (*.f64 (cbrt.f64 x) x) (*.f64 9/40 (*.f64 x x)))))))

simplify189.0ms (1%)

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

82 → 76

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))))

eval303.0ms (1.6%)

Compiler: Compiled 10337 to 5986 computations (42.1% saved)

prune99.0ms (0.5%)

Pruning

13 alts after pruning (3 fresh and 10 done)

	Pruned	Kept	Total
New	666	2	668
Fresh	1	1	2
Picked	0	1	1
Done	1	9	10
Total	668	13	681

Error

Counts

681 → 13

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.0b	(/.f64 (+.f64 x (sin.f64 x)) x)
	29.9b	-1/2
✓	33.6b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
	34.0b	1
✓	57.7b	(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
✓	34.1b	(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
✓	33.5b	(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
✓	29.5b	(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
✓	30.1b	(-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)
✓	33.7b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓	29.5b	(-.f64 (.f64 9/40 (.f64 x x)) 1/2)
	57.7b	(neg.f64 (/.f64 1 (/.f64 x (+.f64 x (sin.f64 x)))))
✓	33.5b	(-.f64 1 (/.f64 (sin.f64 x) x))

Compiler

Compiled 110 to 79 computations (28.2% saved)

regimes54.0ms (0.3%)

Counts

22 → 3

Calls

Call 1

Inputs
1
1
-1/2
-1/2
1
(-.f64 (.f64 9/40 (.f64 x x)) 1/2)
(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 x (*.f64 x 9/40) -1/2)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(neg.f64 (/.f64 1 (/.f64 x (+.f64 x (sin.f64 x)))))
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)
(neg.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.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 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)

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

Calls

3 calls:

36.0ms	x
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.1b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.1b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 179 to 100 computations (44.1% saved)

bsearch70.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	8.682186081426104e-10	4.633960723811111
35.0ms	-1.1231113344387867e+27	-0.0008727513804611935

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes32.0ms (0.2%)

Counts

18 → 3

Calls

Call 1

Inputs
1
1
-1/2
-1/2
1
(-.f64 (.f64 9/40 (.f64 x x)) 1/2)
(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 x (*.f64 x 9/40) -1/2)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(neg.f64 (/.f64 1 (/.f64 x (+.f64 x (sin.f64 x)))))
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)
(neg.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2)

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

Calls

1 calls:

27.0ms

Results

Error	Segments	Branch
0.7b	3	`x`

Compiler

Compiled 117 to 68 computations (41.9% saved)

bsearch70.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
35.0ms	4.633960723811111	6985.4635249760795
35.0ms	-1.1231113344387867e+27	-0.0008727513804611935

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes60.0ms (0.3%)

Counts

17 → 3

Calls

Call 1

Inputs
1
1
-1/2
-1/2
1
(-.f64 (.f64 9/40 (.f64 x x)) 1/2)
(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(-.f64 1 (/.f64 (sin.f64 x) x))
(fma.f64 x (*.f64 x 9/40) -1/2)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(neg.f64 (/.f64 1 (/.f64 x (+.f64 x (sin.f64 x)))))
(-.f64 1 (-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(-.f64 (+.f64 1 (fma.f64 x (*.f64 x 9/40) -1/2)) 1)
(neg.f64 (-.f64 (+.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))

Outputs
1
(+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1)
1

Calls

1 calls:

56.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 104 to 59 computations (43.3% saved)

bsearch97.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
60.0ms	8.682186081426104e-10	4.633960723811111
37.0ms	-1.1231113344387867e+27	-0.0008727513804611935

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes38.0ms (0.2%)

Counts

6 → 3

Calls

Call 1

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

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

Calls

1 calls:

37.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 15 to 12 computations (20% saved)

bsearch97.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
58.0ms	8.682186081426104e-10	4.633960723811111
38.0ms	-1.1231113344387867e+27	-0.0008727513804611935

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes59.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

Inputs
1
1
-1/2
-1/2
1

Outputs
1
-1/2
1

Calls

1 calls:

57.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch176.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
68.0ms	4.633960723811111	6985.4635249760795
108.0ms	-1.1231113344387867e+27	-0.0008727513804611935

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes9.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0.0b (0%)

Counts

2 → 1

Calls

Call 1

Inputs
1
1

Outputs
1

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
34.0b	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify17.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
5×	`*-commutative_binary64`
5×	`sub-neg_binary64`
1×	`neg-sub0_binary64`
1×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	146
1	57	146
2	64	146
3	66	146
4	67	146

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 1304343986812827/281474976710656) (-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (-.f64 (.f64 9/40 (.f64 x x)) 1/2) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 1304343986812827/281474976710656) -1/2 1))
1

Outputs
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (+.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 1304343986812827/281474976710656) (-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) 1/2) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 1304343986812827/281474976710656) (+.f64 (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4))) -1/2) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (+.f64 (+.f64 (.f64 x (.f64 x 9/40)) -3/2) 1) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (+.f64 1 (+.f64 (.f64 x (.f64 x 9/40)) -3/2)) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (-.f64 (.f64 9/40 (.f64 x x)) 1/2) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 8396895139627823/9671406556917033397649408) (+.f64 (.f64 9/40 (.f64 x x)) -1/2) 1))
(if (<=.f64 x -1123111334438786670060896256) 1 (if (<=.f64 x 1304343986812827/281474976710656) -1/2 1))
1

Compiler

Compiled 108 to 84 computations (22.2% saved)

soundness1.2s (6.1%)

Algorithm

4×	egg-herbie

Rules

597×	`div-sub_binary64`
583×	`fma-neg_binary64`
583×	`fma-neg_binary64`
583×	`fma-neg_binary64`
510×	`times-frac_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	100	698
1	295	610
2	964	576
3	4842	548
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
1×	node limit
1×	saturated

Compiler

Compiled 595 to 401 computations (32.6% saved)

end183.0ms (1%)

Compiler: Compiled 103 to 77 computations (25.2% saved)