Details

analyze453.0ms (2.1%)

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)

sample10.0s (47.2%)

Results

6.5s	2065×	body	2048	valid
2.3s	3072×	body	1024	valid
692.0ms	1595×	body	512	valid
299.0ms	1423×	body	256	valid
194.0ms	101×	body	4096	valid

Bogosity

preprocess126.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify113.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.5b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(/.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 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 x)
✓	0.0b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	1.0b	(-.f64 (tan.f64 x) x)
✓	1.0b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 23 to 6 computations (73.9% saved)

series8.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite157.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 440

Calls

Call 1

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

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

simplify71.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

480 → 485

Calls

Call 1

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

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

eval167.0ms (0.8%)

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

prune86.0ms (0.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	471	14	485
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	471	15	486

Error

0.0b

Counts

486 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	45.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x))
	30.5b	1
▶	28.3b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
	34.0b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
	34.4b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
	30.7b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
▶	33.8b	(fma.f64 x (*.f64 x 9/40) -1/2)
✓	28.5b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶	28.6b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
	34.6b	-1/2
	45.1b	(/.f64 (-.f64 (sin.f64 x) x) (fma.f64 (sqrt.f64 (neg.f64 x)) (sqrt.f64 (neg.f64 x)) (tan.f64 x)))
▶	28.5b	(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
	28.5b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
▶	61.0b	(/.f64 (-.f64 (sin.f64 x) x) (log.f64 (exp.f64 (-.f64 (tan.f64 x) x))))
	45.7b	(+.f64 (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 (/.f64 1 (-.f64 (tan.f64 x) x)) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)))

Compiler

Compiled 384 to 244 computations (36.5% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 (tan.f64 x) x))
✓	0.1b	(/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))
✓	0.8b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
	1.0b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 37 to 7 computations (81.1% saved)

series8.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))
1.0ms	x	@	inf	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
1.0ms	x	@	0	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
1.0ms	x	@	-inf	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
1.0ms	x	@	inf	(/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))

rewrite106.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

566×	`log-prod_binary64`
527×	`fma-def_binary64`
291×	`pow2_binary64`
287×	`fma-neg_binary64`
255×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	34
1	197	34
2	3400	34

Stop Event

1×	node limit

Counts

3 → 253

Calls

Call 1

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

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

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simplify70.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

874×	`times-frac_binary64`
567×	`unswap-sqr_binary64`
464×	`fma-def_binary64`
391×	`sub-neg_binary64`
368×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	1116
1	341	1086
2	1147	1000
3	6703	972

Stop Event

1×	node limit

Counts

289 → 299

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 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))
(/.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 17/10)
(-.f64 (+.f64 (.f64 307/1400 (pow.f64 x 2)) (.f64 3 (/.f64 1 (pow.f64 x 2)))) 17/10)
(-.f64 (+.f64 (.f64 307/1400 (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 -1247/126000 (pow.f64 x 4)))) 17/10)
(*.f64 -1 (/.f64 (sin.f64 x) x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))))
(*.f64 -1 (/.f64 (sin.f64 x) x))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))))
(/.f64 3 (pow.f64 x 2))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 6/5)
(-.f64 (+.f64 (.f64 -1/175 (pow.f64 x 2)) (.f64 3 (/.f64 1 (pow.f64 x 2)))) 6/5)
(-.f64 (+.f64 (.f64 -2/7875 (pow.f64 x 4)) (+.f64 (.f64 -1/175 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))) 6/5)
-1
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)
-1
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)

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 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) 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 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (-.f64 (+.f64 1 (-.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (*.f64 x (cos.f64 x))))))
(-.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 x x)))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (/.f64 (.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 x x)))
(-.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (-.f64 (+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (+.f64 (+.f64 (-.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (-.f64 1 (/.f64 (.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x))))
(-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (-.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) 3) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 x x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)))
(+.f64 1 (-.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) 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 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (-.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (*.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (-.f64 (+.f64 1 (-.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (*.f64 x (cos.f64 x))))))
(-.f64 (-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (/.f64 (.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 x x)))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (/.f64 (.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 x x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (-.f64 (+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (.f64 x x)) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))))
(-.f64 (+.f64 1 (+.f64 (+.f64 (-.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))))) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))))
(+.f64 (-.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 3)) (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) (-.f64 1 (/.f64 (.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (*.f64 x x))))
(-.f64 (+.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (-.f64 (pow.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) 3) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 2)))) (/.f64 (.f64 (+.f64 (/.f64 -1 (cos.f64 x)) 1) (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x))) (.f64 x x)))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (*.f64 x x))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 17/10)
(+.f64 (/.f64 3 (*.f64 x x)) -17/10)
(-.f64 (+.f64 (.f64 307/1400 (pow.f64 x 2)) (.f64 3 (/.f64 1 (pow.f64 x 2)))) 17/10)
(+.f64 (fma.f64 307/1400 (.f64 x x) (/.f64 3 (.f64 x x))) -17/10)
(+.f64 (fma.f64 (.f64 x x) 307/1400 (/.f64 3 (.f64 x x))) -17/10)
(+.f64 (/.f64 3 (.f64 x x)) (fma.f64 x (.f64 x 307/1400) -17/10))
(-.f64 (+.f64 (.f64 307/1400 (pow.f64 x 2)) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (*.f64 -1247/126000 (pow.f64 x 4)))) 17/10)
(+.f64 (fma.f64 307/1400 (.f64 x x) (+.f64 (/.f64 3 (.f64 x x)) (*.f64 (pow.f64 x 4) -1247/126000))) -17/10)
(+.f64 (fma.f64 (.f64 x x) 307/1400 (fma.f64 (pow.f64 x 4) -1247/126000 (/.f64 3 (.f64 x x)))) -17/10)
(fma.f64 x (.f64 x 307/1400) (+.f64 (/.f64 3 (.f64 x x)) (fma.f64 (pow.f64 x 4) -1247/126000 -17/10)))
(*.f64 -1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (.f64 x x)) (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) x))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (sin.f64 x) x))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (*.f64 x (cos.f64 x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 4) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (cos.f64 x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3))))
(-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (cos.f64 x)))))
(*.f64 -1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (sin.f64 x) x))
(/.f64 (neg.f64 (sin.f64 x)) x)
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (.f64 x x)) (/.f64 (sin.f64 x) x)))
(-.f64 (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (cos.f64 x)) (*.f64 x x)) (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x))))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (*.f64 -1 (/.f64 (sin.f64 x) x))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (.f64 x x)) (.f64 -1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (/.f64 (sin.f64 x) x))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (*.f64 x (cos.f64 x)))))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)))
(-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 2)))
(+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))))
(fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)) (.f64 x x)) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 4) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 4) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (cos.f64 x)))))
(-.f64 (-.f64 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))) (/.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3))))
(-.f64 (-.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 4)) (.f64 (pow.f64 x 4) (pow.f64 (cos.f64 x) 3))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) (pow.f64 (cos.f64 x) 2))) (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (cos.f64 x)))))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (*.f64 x x))
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 6/5)
(+.f64 (/.f64 3 (*.f64 x x)) -6/5)
(-.f64 (+.f64 (.f64 -1/175 (pow.f64 x 2)) (.f64 3 (/.f64 1 (pow.f64 x 2)))) 6/5)
(+.f64 (fma.f64 -1/175 (.f64 x x) (/.f64 3 (.f64 x x))) -6/5)
(+.f64 (fma.f64 (.f64 x x) -1/175 (/.f64 3 (.f64 x x))) -6/5)
(+.f64 (/.f64 3 (.f64 x x)) (fma.f64 x (.f64 x -1/175) -6/5))
(-.f64 (+.f64 (.f64 -2/7875 (pow.f64 x 4)) (+.f64 (.f64 -1/175 (pow.f64 x 2)) (*.f64 3 (/.f64 1 (pow.f64 x 2))))) 6/5)
(+.f64 (fma.f64 -2/7875 (pow.f64 x 4) (fma.f64 -1/175 (.f64 x x) (/.f64 3 (.f64 x x)))) -6/5)
(+.f64 (fma.f64 (pow.f64 x 4) -2/7875 (fma.f64 (.f64 x x) -1/175 (/.f64 3 (.f64 x x)))) -6/5)
(+.f64 (fma.f64 x (.f64 x -1/175) (/.f64 3 (.f64 x x))) (fma.f64 (pow.f64 x 4) -2/7875 -6/5))
-1
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) 1)
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) -1)
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(-.f64 -1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(+.f64 (.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))) -1)
(fma.f64 -1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))) -1)
(-.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2)))))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(-.f64 (-.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))
(-.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) 3))))
-1
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) 1)
(fma.f64 -1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) -1)
(fma.f64 -1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) -1)
(-.f64 -1 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))))) 1)
(+.f64 (.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))) -1)
(fma.f64 -1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2)))) -1)
(-.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2)))))) 1)
(+.f64 (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2)))))) -1)
(+.f64 -1 (-.f64 (-.f64 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(-.f64 (-.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))
(-.f64 -1 (+.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2)) (pow.f64 (/.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x) 3))))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 9 computations (30.8% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite52.0ms (0.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

simplify173.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

56 → 38

Calls

Call 1

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

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

localize26.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 (tan.f64 x) x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
	1.0b	(-.f64 (tan.f64 x) x)
	1.0b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 32 to 11 computations (65.6% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 83

Calls

Call 1

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

Outputs

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

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

simplify80.0ms (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))))

localize24.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
✓	0.0b	(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
	1.0b	(-.f64 (tan.f64 x) x)
	1.0b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 35 to 9 computations (74.3% saved)

series11.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
3.0ms	x	@	-inf	(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
2.0ms	x	@	0	(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
1.0ms	x	@	-inf	(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
1.0ms	x	@	0	(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)

rewrite242.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
538×	`log-prod_binary64`
344×	`fma-def_binary64`
225×	`egg-rr`
195×	`expm1-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	31
1	211	28
2	3201	28

Stop Event

1×	node limit

Counts

2 → 274

Calls

Call 1

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

Outputs

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simplify111.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

804×	`fma-def_binary64`
681×	`times-frac_binary64`
439×	`associate-/l*_binary64`
306×	`associate-+l+_binary64`
271×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	119	1051
1	392	872
2	1698	760

Stop Event

1×	node limit

Counts

298 → 308

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 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.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 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -513/1400 (pow.f64 x 4)) (.f64 -9/10 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -297/2000 (pow.f64 x 6)) (+.f64 (.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))) (.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) 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 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))
(-.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)
(+.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6))) (fma.f64 9/40 (.f64 x x) -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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (.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)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) x)))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (.f64 x x) (+.f64 (.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.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) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (neg.f64 (/.f64 (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (.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)))))
(+.f64 1 (+.f64 (-.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (.f64 x x)) (/.f64 (fma.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (sin.f64 x) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (.f64 (*.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (pow.f64 x 3))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 1 (fma.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 (sin.f64 x) (+.f64 (.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (.f64 (sin.f64 x) 0) (/.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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.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) x) (/.f64 (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (.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)))))
(-.f64 (+.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (*.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (/.f64 (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) x)))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (.f64 x x) (+.f64 (.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 x 3) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (.f64 x x)) (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (fma.f64 -1 (/.f64 (.f64 (*.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 x 3)) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (pow.f64 x 3)) (-.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))) (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (.f64 x x)) (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 (fma.f64 -1 (fma.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 x 3)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (+.f64 (.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (+.f64 (.f64 (/.f64 (sin.f64 x) x) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) 1) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) 1) (fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (.f64 x x) (+.f64 (.f64 (sin.f64 x) 0) (/.f64 (sin.f64 x) (cos.f64 x)))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(fma.f64 (*.f64 x x) -9/10 -2)
(fma.f64 (*.f64 -9/10 x) x -2)
(-.f64 (+.f64 (.f64 -513/1400 (pow.f64 x 4)) (.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (.f64 (pow.f64 x 4) -513/1400) (fma.f64 -9/10 (.f64 x x) -2))
(fma.f64 (pow.f64 x 4) -513/1400 (fma.f64 (*.f64 x x) -9/10 -2))
(fma.f64 x (*.f64 x -9/10) (fma.f64 (pow.f64 x 4) -513/1400 -2))
(-.f64 (+.f64 (.f64 -297/2000 (pow.f64 x 6)) (+.f64 (.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (.f64 (.f64 x x) -9/10))) -2)
(fma.f64 (pow.f64 x 6) -297/2000 (fma.f64 (pow.f64 x 4) -513/1400 (fma.f64 (*.f64 x x) -9/10 -2)))
(fma.f64 (pow.f64 x 6) -297/2000 (fma.f64 x (*.f64 x -9/10) (fma.f64 (pow.f64 x 4) -513/1400 -2)))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 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 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))) (.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))) (/.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 1 (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 -1 (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) 1) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))) (/.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 x x) (sin.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))) (/.f64 (neg.f64 (sin.f64 x)) 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 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (-.f64 (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))) (/.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (*.f64 x x) (sin.f64 x)))) (/.f64 (neg.f64 (sin.f64 x)) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 1 (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))
(+.f64 1 (*.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (-.f64 -1 (/.f64 (sin.f64 x) x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))))
(-.f64 (+.f64 (+.f64 (/.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) 1) (+.f64 (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))) (/.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (.f64 x x) (sin.f64 x))))) (/.f64 (neg.f64 (sin.f64 x)) x))
(+.f64 1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (-.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (/.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 2))) (.f64 (/.f64 (sin.f64 x) (.f64 x x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))
(+.f64 (-.f64 1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)) (.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 x x)) (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) x) (sin.f64 x))))

localize59.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (-.f64 (sin.f64 x) x) (log.f64 (exp.f64 (-.f64 (tan.f64 x) x))))
	1.0b	(-.f64 (tan.f64 x) x)
	1.0b	(-.f64 (sin.f64 x) x)
✓	1.7b	(log.f64 (exp.f64 (-.f64 (tan.f64 x) x)))

Compiler

Compiled 36 to 8 computations (77.8% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite284.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
510×	`log-prod_binary64`
347×	`fma-def_binary64`
271×	`pow2_binary64`
226×	`egg-rr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	193	20
2	2944	20

Stop Event

1×	node limit

Counts

2 → 321

Calls

Call 1

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

simplify187.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

345 → 349

Calls

Call 1

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

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

eval1.5s (6.8%)

Compiler: Compiled 56525 to 17102 computations (69.7% saved)

prune515.0ms (2.4%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	1941	12	1953
Fresh	6	3	9
Picked	0	1	1
Done	2	3	5
Total	1949	19	1968

Error

0.0b

Counts

1968 → 19

Alt Table

Click to see full alt table

Status	Error	Program
✓	28.3b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
	62.0b	(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))) -1)
▶	28.5b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
▶	33.8b	(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
	30.5b	1
	34.6b	-1/2
	45.7b	(+.f64 (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 (/.f64 1 (-.f64 (tan.f64 x) x)) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)))
✓	33.8b	(fma.f64 x (*.f64 x 9/40) -1/2)
✓	28.5b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
	30.9b	(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
▶	34.0b	(fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))
	28.5b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
	34.4b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
✓	61.0b	(/.f64 (-.f64 (sin.f64 x) x) (log.f64 (exp.f64 (-.f64 (tan.f64 x) x))))
	28.6b	(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (+.f64 (sin.f64 x) x)))
▶	45.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x))
▶	27.9b	(*.f64 (/.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))) (-.f64 (sin.f64 x) x))
	30.7b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
	34.0b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)

Compiler

Compiled 500 to 322 computations (35.6% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.5b	(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
	1.0b	(-.f64 (sin.f64 x) x)
✓	3.6b	(*.f64 (/.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))) (-.f64 (sin.f64 x) x))
✓	25.3b	(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))

Compiler

Compiled 64 to 24 computations (62.5% saved)

series11.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (tan.f64 x)) 2)
1.0ms	x	@	-inf	(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))
1.0ms	x	@	0	(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (tan.f64 x)) 2)

rewrite97.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

740×	`prod-diff_binary64`
527×	`log-prod_binary64`
292×	`pow2_binary64`
205×	`pow1/3_binary64`
203×	`fma-def_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	32
1	274	28
2	3486	28

Stop Event

1×	node limit

Counts

3 → 166

Calls

Call 1

Inputs

(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))

(*.f64 (/.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))) (-.f64 (sin.f64 x) x))

(pow.f64 (cbrt.f64 (tan.f64 x)) 2)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 x (tan.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (tan.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 x))) (sqrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (neg.f64 (sqrt.f64 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (tan.f64 x) 1 (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (tan.f64 x)) (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (tan.f64 x) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (/.f64 1 (cos.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2) (cbrt.f64 (tan.f64 x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))) (fma.f64 (neg.f64 (neg.f64 (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2) (*.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (tan.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (tan.f64 x))) (neg.f64 (*.f64 (neg.f64 (cbrt.f64 x)) 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((x -.f64 (/.f64 (sin.f64 x) (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (/.f64 (+.f64 x (tan.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 (+.f64 x (tan.f64 x)) (sqrt.f64 (+.f64 x (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (*.f64 (+.f64 x (tan.f64 x)) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 x (sin.f64 x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (*.f64 (+.f64 x (tan.f64 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 (pow.f64 (+.f64 x (sin.f64 x)) 2)) (*.f64 (+.f64 x (tan.f64 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 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) 1) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.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 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) -1) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (sin.f64 x)) 1) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (+.f64 x (sin.f64 x))) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 x (tan.f64 x)))) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 2) (/.f64 1 (+.f64 x (tan.f64 x)))) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (/.f64 1 (+.f64 x (tan.f64 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 x (tan.f64 x))) (pow.f64 (+.f64 x (sin.f64 x)) 2)) (+.f64 x (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 x (sin.f64 x)) -1) (+.f64 x (tan.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (tan.f64 x))) 3) (pow.f64 (+.f64 x (sin.f64 x)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) (pow.f64 (/.f64 1 (+.f64 x (tan.f64 x))) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x (tan.f64 x)) (+.f64 x (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (+.f64 x (sin.f64 x)) 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 1 (+.f64 x (tan.f64 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 (+.f64 x (tan.f64 x))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) (+.f64 x (tan.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (sin.f64 x) (*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (/.f64 1 (+.f64 x (tan.f64 x))) (*.f64 x (/.f64 1 (+.f64 x (tan.f64 x)))))))))

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

simplify60.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

984×	`times-frac_binary64`
554×	`div-sub_binary64`
360×	`associate-/l*_binary64`
357×	`fma-def_binary64`
262×	`sub-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	76	675
1	266	567
2	971	539
3	5724	539

Stop Event

1×	node limit

Counts

194 → 189

Calls

Call 1

Inputs
(*.f64 -1 x)
(*.f64 -1 x)
(+.f64 (.f64 -1 x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3)))
(+.f64 (.f64 -1 x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3)))
(+.f64 (.f64 -1 x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3)))
(*.f64 -1 x)
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 x))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 x))
(+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 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))))
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)) (pow.f64 1 1/3))))
(-.f64 (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x)))) (.f64 -1 (.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)) (pow.f64 1 1/3))))
(-.f64 (+.f64 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x)))))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))))) (.f64 -1 (.f64 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)) (pow.f64 1 1/3))))
1
(+.f64 1 (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) x)))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 2))) (pow.f64 1 1/3))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (*.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) x))))
(+.f64 1 (+.f64 (.f64 -1 (.f64 (pow.f64 1 1/3) (/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (pow.f64 (sin.f64 x) 2)) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (+.f64 (.f64 -1 (.f64 (/.f64 (.f64 (-.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) (sin.f64 x)) (.f64 (cos.f64 x) (pow.f64 x 2))) (pow.f64 1 1/3))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (pow.f64 1 1/3))) x)))))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) 1/3)

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

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

745×	`pow1_binary64`
698×	`add-log-exp_binary64`
698×	`log1p-expm1-u_binary64`
698×	`expm1-log1p-u_binary64`
687×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	154	15
2	1855	15

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

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

Outputs

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

simplify164.0ms (0.8%)

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

68 → 49

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)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
✓	0.0b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
	1.0b	(-.f64 (tan.f64 x) x)
	1.0b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 35 to 9 computations (74.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
550×	`log-prod_binary64`
345×	`fma-def_binary64`
194×	`expm1-udef_binary64`
194×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	210	14
2	3248	14

Stop Event

1×	node limit

Counts

1 → 49

Calls

Call 1

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

simplify47.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

597×	`div-sub_binary64`
510×	`times-frac_binary64`
300×	`distribute-rgt-in_binary64`
284×	`associate-/l*_binary64`
269×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	420
1	206	356
2	730	322
3	4124	294

Stop Event

1×	node limit

Counts

61 → 66

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)))))

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 (+.f64 1 (neg.f64 (/.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 (sin.f64 x) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 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 (sin.f64 x) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (neg.f64 (/.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 (sin.f64 x) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 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 (sin.f64 x) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x))
✓	0.1b	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)
	1.0b	(-.f64 (tan.f64 x) x)
	1.0b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 39 to 12 computations (69.2% saved)

series11.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	x	@	inf	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)
4.0ms	x	@	0	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)
0.0ms	x	@	inf	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x))
0.0ms	x	@	-inf	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x))

rewrite93.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`prod-diff_binary64`
502×	`log-prod_binary64`
348×	`fma-def_binary64`
281×	`pow2_binary64`
194×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	232	20
2	3040	20

Stop Event

1×	node limit

Counts

2 → 149

Calls

Call 1

Inputs
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2)
(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x))

Outputs

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

simplify52.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

597×	`div-sub_binary64`
510×	`times-frac_binary64`
300×	`distribute-rgt-in_binary64`
284×	`associate-/l*_binary64`
269×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	65	420
1	206	356
2	730	322
3	4124	294

Stop Event

1×	node limit

Counts

161 → 166

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)))))

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 (+.f64 1 (neg.f64 (/.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 (sin.f64 x) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 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 (sin.f64 x) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(-.f64 (+.f64 1 (neg.f64 (/.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 (sin.f64 x) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 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 (sin.f64 x) (/.f64 (.f64 (.f64 x x) (cos.f64 x)) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))))
(fma.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (fma.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (*.f64 x x)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)) 1))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (/.f64 (sin.f64 x) (.f64 x (*.f64 x (cos.f64 x)))) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (pow.f64 (cos.f64 x) 2)))))))

localize51.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))
✓	0.1b	(fma.f64 -27/2800 (pow.f64 x 4) -1/2)
	0.2b	(*.f64 x 9/40)
✓	20.5b	(fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))

Compiler

Compiled 50 to 39 computations (22% saved)

series5.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
1.0ms	x	@	inf	(fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
1.0ms	x	@	0	(fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))
1.0ms	x	@	-inf	(fma.f64 -27/2800 (pow.f64 x 4) -1/2)
1.0ms	x	@	inf	(fma.f64 -27/2800 (pow.f64 x 4) -1/2)

rewrite94.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

498×	`log-prod_binary64`
404×	`exp-prod_binary64`
329×	`pow2_binary64`
265×	`pow-prod-down_binary64`
231×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	298	45
2	3160	45

Stop Event

1×	node limit

Counts

3 → 108

Calls

Call 1

Inputs

(fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))

(fma.f64 -27/2800 (pow.f64 x 4) -1/2)

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) (*.f64 27/112000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 27/112000 (pow.f64 x 6)) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 27/112000 (pow.f64 x 6)) 1) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 2) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 3) (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 3)) (+.f64 (pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 2) (-.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 2) (*.f64 (*.f64 27/112000 (pow.f64 x 6)) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 2) (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 2)) (-.f64 (*.f64 27/112000 (pow.f64 x 6)) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 2)) (cbrt.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) (sqrt.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) (pow.f64 (exp.f64 27/112000) (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)) (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1/2 (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27/2800 (pow.f64 x 4)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) (cbrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 2)) (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) -1/8) (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 2) (-.f64 1/4 (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 2) 1/4) (fma.f64 -27/2800 (pow.f64 x 4) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(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) -1/2))) 2)) (cbrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) (sqrt.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x 9/40)) 1) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x (*.f64 x 9/40) (*.f64 27/112000 (pow.f64 x 6))) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 2) (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 3) (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 3)) (+.f64 (pow.f64 (*.f64 x (*.f64 x 9/40)) 2) (-.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)) 2) 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(fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) 2)) (cbrt.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))) (sqrt.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) (pow.f64 (exp.f64 x) (*.f64 x 9/40))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)) (+.f64 1 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 x (*.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))) 1) 1))))))

simplify68.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

619×	`distribute-rgt-neg-in_binary64`
606×	`fma-def_binary64`
596×	`fma-neg_binary64`
534×	`distribute-lft-neg-in_binary64`
503×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	422
1	68	402
2	138	402
3	342	402
4	1241	402
5	3922	402
6	6623	402

Stop Event

1×	node limit

Counts

144 → 126

Calls

Call 1

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

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

eval726.0ms (3.4%)

Compiler: Compiled 36958 to 13902 computations (62.4% saved)

prune230.0ms (1.1%)

Pruning

22 alts after pruning (14 fresh and 8 done)

	Pruned	Kept	Total
New	1381	7	1388
Fresh	3	7	10
Picked	1	0	1
Done	0	8	8
Total	1385	22	1407

Error

0.0b

Counts

1407 → 22

Alt Table

Click to see full alt table

Status	Error	Program
✓	45.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x))
▶	34.0b	(fma.f64 x (.f64 x 9/40) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1/2))
✓	28.3b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
✓	28.5b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
▶	34.4b	(fma.f64 x (.f64 x 9/40) (-.f64 (.f64 -27/2800 (pow.f64 x 4)) 1/2))
✓	33.8b	(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
	30.5b	1
	45.7b	(+.f64 (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 (/.f64 1 (-.f64 (tan.f64 x) x)) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)))
✓	33.8b	(fma.f64 x (*.f64 x 9/40) -1/2)
✓	28.5b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
	30.9b	(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
▶	28.5b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
	34.4b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
	34.3b	(fma.f64 x (*.f64 x 9/40) (log.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))
	34.0b	(fma.f64 x (.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) -1/2)))
▶	62.0b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
	34.6b	-1/2
✓	61.0b	(/.f64 (-.f64 (sin.f64 x) x) (log.f64 (exp.f64 (-.f64 (tan.f64 x) x))))
	28.6b	(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (+.f64 (sin.f64 x) x)))
✓	27.9b	(*.f64 (/.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))) (-.f64 (sin.f64 x) x))
▶	30.7b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
	34.0b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)

Compiler

Compiled 552 to 369 computations (33.2% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
✓	0.1b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
	1.0b	(-.f64 (tan.f64 x) x)
	1.0b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 46 to 10 computations (78.3% saved)

series13.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
4.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
1.0ms	x	@	inf	(cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))
1.0ms	x	@	-inf	(cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))

rewrite160.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
542×	`log-prod_binary64`
349×	`fma-def_binary64`
245×	`egg-rr`
197×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	30
1	237	30
2	3245	30

Stop Event

1×	node limit

Counts

2 → 280

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (/.f64 (sqrt.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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 +.f64 0 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)))))) 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simplify77.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

745×	`distribute-rgt-in_binary64`
736×	`distribute-lft-in_binary64`
481×	`times-frac_binary64`
414×	`associate-/l*_binary64`
382×	`associate-/r*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	203	2637
1	657	2442
2	2550	2141

Stop Event

1×	node limit

Counts

304 → 316

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2))) (+.f64 (.f64 9/1600 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2)))))) 81/5600) (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2))) (+.f64 (.f64 9/1600 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2)))))) 81/5600) (pow.f64 x 4)) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 27/22400 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 2/3 (/.f64 (-.f64 837/112000 (.f64 27/64000 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 6)))) (cbrt.f64 -1/2))))) (+.f64 (.f64 3/40 (/.f64 (+.f64 (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2))) (+.f64 (.f64 9/1600 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2))))) (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 1/3 (-.f64 837/112000 (*.f64 27/64000 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 6))))))) 27/11200) (pow.f64 x 6)))) 1/2)
1
(+.f64 1 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (.f64 1/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x))))
(+.f64 (.f64 1/9 (/.f64 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 2/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (.f64 2/9 (/.f64 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 x 2)))))))))
(+.f64 1 (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (+.f64 (.f64 2/9 (/.f64 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (.f64 1/27 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 3)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x 3))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2) (pow.f64 x 2))) (+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (.f64 1/27 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 3)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x 3))) (+.f64 (.f64 1/3 (/.f64 (.f64 (+.f64 (.f64 1/9 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2)) (.f64 -2/3 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (pow.f64 x 2))) (+.f64 (.f64 -4/9 (/.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (.f64 2/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x))))))))))))
1
(+.f64 1 (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 2/3 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) x)))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (*.f64 2/3 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) x)))))))
(+.f64 (.f64 -2/3 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 2/9 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -4/9 (.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (.f64 -1/3 (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) (.f64 1/27 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 3))))) (+.f64 (.f64 1/3 (.f64 (+.f64 (.f64 1/9 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (.f64 -2/3 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 -2/3 (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) (.f64 1/27 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 3)))))))) (pow.f64 x 3))) (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (pow.f64 x 2))) (+.f64 (.f64 1/9 (/.f64 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (pow.f64 x 2))) (.f64 -1 (/.f64 (+.f64 (.f64 1/3 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 2/3 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) x))))))))
(cbrt.f64 -1/2)
(+.f64 (*.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 2))) (cbrt.f64 -1/2))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (.f64 9/1120 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1/2) 2))) (cbrt.f64 -1/2)))
(+.f64 (.f64 3/40 (/.f64 (pow.f64 x 2) (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (.f64 9/1120 (/.f64 (pow.f64 x 4) (pow.f64 (cbrt.f64 -1/2) 2))) (+.f64 (cbrt.f64 -1/2) (.f64 1/3 (/.f64 (.f64 (-.f64 837/112000 (*.f64 27/64000 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 6)))) (pow.f64 x 6)) (pow.f64 (cbrt.f64 -1/2) 2))))))
1
(+.f64 1 (.f64 1/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (pow.f64 x 2))) (.f64 1/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (*.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x))))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (.f64 -1/3 (/.f64 (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (.f64 1/27 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 3)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x 3))))))
1
(+.f64 1 (*.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (pow.f64 x 2))) (.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (.f64 1/3 (/.f64 (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) (.f64 1/27 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 3)))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (pow.f64 x 2))) (.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 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 (*.f64 9/40 x) x -1/2)
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2))) (+.f64 (.f64 9/1600 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2)))))) 81/5600) (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2))) 1/2)
(+.f64 (.f64 (fma.f64 (cbrt.f64 -1/2) (+.f64 (/.f64 9/1120 (cbrt.f64 -1/2)) (+.f64 (/.f64 9/1120 (cbrt.f64 -1/2)) (/.f64 9/1600 (pow.f64 (cbrt.f64 -1/2) 4)))) -81/5600) (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) -1/2))
(fma.f64 (fma.f64 (cbrt.f64 -1/2) (+.f64 (/.f64 9/1120 (cbrt.f64 -1/2)) (+.f64 (/.f64 9/1120 (cbrt.f64 -1/2)) (/.f64 9/1600 (.f64 -1/2 (cbrt.f64 -1/2))))) -81/5600) (pow.f64 x 4) (fma.f64 9/40 (.f64 x x) -1/2))
(fma.f64 (+.f64 9/1120 (+.f64 (+.f64 9/1120 (.f64 (/.f64 -9/800 (cbrt.f64 -1/2)) (cbrt.f64 -1/2))) -81/5600)) (pow.f64 x 4) (fma.f64 (.f64 9/40 x) x -1/2))
(-.f64 (+.f64 (.f64 (-.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2))) (+.f64 (.f64 9/1600 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2)))))) 81/5600) (pow.f64 x 4)) (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 (cbrt.f64 -1/2) (+.f64 (.f64 27/22400 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 2/3 (/.f64 (-.f64 837/112000 (.f64 27/64000 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 6)))) (cbrt.f64 -1/2))))) (+.f64 (.f64 3/40 (/.f64 (+.f64 (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2))) (+.f64 (.f64 9/1600 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 4))) (.f64 9/1120 (/.f64 1 (cbrt.f64 -1/2))))) (pow.f64 (cbrt.f64 -1/2) 2))) (.f64 1/3 (-.f64 837/112000 (*.f64 27/64000 (/.f64 1 (pow.f64 (cbrt.f64 -1/2) 6))))))) 27/11200) (pow.f64 x 6)))) 1/2)
(+.f64 (fma.f64 (fma.f64 (cbrt.f64 -1/2) (+.f64 (/.f64 9/1120 (cbrt.f64 -1/2)) (+.f64 (/.f64 9/1120 (cbrt.f64 -1/2)) (/.f64 9/1600 (pow.f64 (cbrt.f64 -1/2) 4)))) -81/5600) (pow.f64 x 4) (fma.f64 9/40 (.f64 x x) (.f64 (+.f64 (fma.f64 (cbrt.f64 -1/2) (+.f64 (/.f64 27/22400 (pow.f64 (cbrt.f64 -1/2) 4)) (.f64 2/3 (/.f64 (-.f64 837/112000 (/.f64 27/64000 (pow.f64 (cbrt.f64 -1/2) 6))) (cbrt.f64 -1/2)))) (fma.f64 3/40 (/.f64 (+.f64 (/.f64 9/1120 (cbrt.f64 -1/2)) (+.f64 (/.f64 9/1120 (cbrt.f64 -1/2)) (/.f64 9/1600 (pow.f64 (cbrt.f64 -1/2) 4)))) (pow.f64 (cbrt.f64 -1/2) 2)) (.f64 (-.f64 837/112000 (/.f64 27/64000 (pow.f64 (cbrt.f64 -1/2) 6))) 1/3))) -27/11200) (pow.f64 x 6)))) -1/2)
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1
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(+.f64 1 (fma.f64 (/.f64 (-.f64 (.f64 1/3 (pow.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 x x)) -1/3 (.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(fma.f64 -1/3 (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 1/3 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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 -1/3 (/.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) x)) (.f64 -1/3 (/.f64 (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x))) (.f64 1/3 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))) (+.f64 (.f64 1/27 (pow.f64 (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))) 3)) (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 -1/3 (/.f64 (fma.f64 -1 (/.f64 (.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (.f64 1/3 (pow.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (.f64 x x)) (fma.f64 1/3 (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) x) (.f64 -1/3 (/.f64 (fma.f64 -2/3 (.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (fma.f64 -1 (/.f64 (.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (.f64 1/3 (pow.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) 2)))) (fma.f64 1/27 (pow.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) 3) (neg.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))))) (pow.f64 x 3))))))
(+.f64 1 (fma.f64 (/.f64 (-.f64 (.f64 1/3 (pow.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 x x)) -1/3 (fma.f64 -1/3 (/.f64 (fma.f64 (+.f64 (.f64 2/3 (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) -2/9)) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 1/27 (pow.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 3) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)) (/.f64 (pow.f64 (cos.f64 x) 2) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (pow.f64 x 3)) (*.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (fma.f64 -1/3 (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 1/3 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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 -1/3 (/.f64 (fma.f64 -2/3 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (*.f64 1/3 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))) (fma.f64 1/27 (pow.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) 3) (/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (/.f64 (neg.f64 (pow.f64 (sin.f64 x) 3)) (cos.f64 x))) (pow.f64 (cos.f64 x) 2)))) (pow.f64 x 3))))
1
(+.f64 1 (*.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (.f64 1/3 (/.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) x)))
(fma.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) 1)
(fma.f64 1/3 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x) 1)
(+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (pow.f64 x 2))) (.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 1 (fma.f64 -1/3 (/.f64 (fma.f64 -1 (/.f64 (.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (cos.f64 x)) (.f64 1/3 (pow.f64 (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) 2))) (.f64 x x)) (.f64 1/3 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) x))))
(+.f64 1 (fma.f64 (/.f64 (-.f64 (.f64 1/3 (pow.f64 (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 x x)) -1/3 (.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(fma.f64 -1/3 (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 1/3 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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 1/3 (/.f64 (+.f64 (.f64 -2/3 (.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (pow.f64 (cos.f64 x) 2))) (.f64 1/27 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 3)))) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1/3 (/.f64 (+.f64 (.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2)) (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (pow.f64 x 2))) (.f64 -1/3 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(fma.f64 1/3 (/.f64 (fma.f64 -2/3 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (/.f64 (pow.f64 (cos.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 1/27 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 3)))) (pow.f64 x 3)) (+.f64 1 (.f64 -1/3 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (/.f64 (sin.f64 x) (/.f64 (cos.f64 x) (-.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)))))
(fma.f64 1/3 (/.f64 (fma.f64 -2/3 (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (fma.f64 1/27 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 3) (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (pow.f64 x 3)) (fma.f64 -1/3 (+.f64 (/.f64 (fma.f64 1/3 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 2) (.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (-.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))
(fma.f64 1/3 (/.f64 (+.f64 (.f64 1/27 (pow.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) 3)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (.f64 -2/3 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 1/3 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (/.f64 (sin.f64 x) (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2))))) (pow.f64 x 3)) (fma.f64 -1/3 (+.f64 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (.f64 1/3 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (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))

localize9.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
	1.0b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 17 to 5 computations (70.6% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

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

Outputs

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

simplify33.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

50 → 53

Calls

Call 1

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

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

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 x (.f64 x 9/40) (-.f64 (.f64 -27/2800 (pow.f64 x 4)) 1/2))
✓	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	0.2b	(*.f64 x 9/40)

Compiler

Compiled 36 to 28 computations (22.2% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 -27/2800 (pow.f64 x 4))
1.0ms	x	@	0	(*.f64 -27/2800 (pow.f64 x 4))
0.0ms	x	@	inf	(fma.f64 x (.f64 x 9/40) (-.f64 (.f64 -27/2800 (pow.f64 x 4)) 1/2))
0.0ms	x	@	0	(fma.f64 x (.f64 x 9/40) (-.f64 (.f64 -27/2800 (pow.f64 x 4)) 1/2))
0.0ms	x	@	-inf	(fma.f64 x (.f64 x 9/40) (-.f64 (.f64 -27/2800 (pow.f64 x 4)) 1/2))

rewrite64.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

590×	`unpow-prod-down_binary64`
461×	`log-prod_binary64`
285×	`pow2_binary64`
247×	`pow-prod-down_binary64`
200×	`expm1-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	243	22
2	2749	22

Stop Event

1×	node limit

Counts

2 → 64

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (pow.f64 x 4) -27/5600) (*.f64 (pow.f64 x 4) -27/5600))))) (#(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 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 8) 729/7840000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) -19683/21952000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -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 (fma.f64 4 (log.f64 x) (log1p.f64 -2827/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -2827/2800)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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 (fma.f64 4 (log.f64 x) (log1p.f64 -2827/2800)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 4 (log.f64 x) (log1p.f64 -2827/2800)) 3) 1/3))))))

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

simplify73.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

514×	`fma-neg_binary64`
472×	`neg-mul-1_binary64`
410×	`associate-l_binary64`
409×	`distribute-rgt-neg-in_binary64`
370×	`distribute-lft-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	153
1	32	141
2	64	141
3	148	141
4	469	141
5	1805	141
6	4494	141
7	5646	141
8	7733	141

Stop Event

1×	node limit

Counts

76 → 72

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

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

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 27/112000 (pow.f64 x 6))
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	0.2b	(*.f64 x 9/40)
✓	20.5b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 69 to 55 computations (20.3% saved)

series4.0ms (0%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(*.f64 27/112000 (pow.f64 x 6))
1.0ms	x	@	inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
1.0ms	x	@	0	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
0.0ms	x	@	inf	(*.f64 27/112000 (pow.f64 x 6))
0.0ms	x	@	-inf	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

rewrite69.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

454×	`log-prod_binary64`
346×	`exp-prod_binary64`
312×	`prod-exp_binary64`
299×	`fma-def_binary64`
274×	`pow2_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	21
1	244	21
2	2885	21

Stop Event

1×	node limit

Counts

2 → 92

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 27/112000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 12) 729/12544000000) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 27/112000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27/112000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 18) 19683/1404928000000000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000))) 2)) (cbrt.f64 (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000)))) (sqrt.f64 (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 729/12544000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 18) 19683/1404928000000000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 x x) (cbrt.f64 27/112000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 27/112000))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 x 18) 19683/1404928000000000)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (fma.f64 6 (log.f64 x) (log1p.f64 -111973/112000)) 3) 1/3))))))

simplify126.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 94

Calls

Call 1

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

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

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
	1.0b	(-.f64 (tan.f64 x) x)
	1.0b	(-.f64 (sin.f64 x) x)
✓	1.7b	(log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))

Compiler

Compiled 50 to 11 computations (78% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))
0.0ms	x	@	inf	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
0.0ms	x	@	0	(log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))
0.0ms	x	@	-inf	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
0.0ms	x	@	inf	(log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))

rewrite76.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`prod-diff_binary64`
588×	`log-prod_binary64`
353×	`fma-def_binary64`
208×	`expm1-udef_binary64`
208×	`log1p-udef_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	234	20
2	3443	20

Stop Event

1×	node limit

Counts

2 → 140

Calls

Call 1

Inputs
(log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (neg.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (+.f64 (neg.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 x) x) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/3 (-.f64 (sin.f64 x) x)) (*.f64 2 (*.f64 1/3 (-.f64 (sin.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (-.f64 (sin.f64 x) x)) (*.f64 1/2 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 2 (*.f64 1/3 (-.f64 (sin.f64 x) x))) (*.f64 1/3 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (log.f64 (/.f64 (exp.f64 x) (exp.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 x) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 x 3) (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 x (sin.f64 x))) (/.f64 (*.f64 x x) (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (neg.f64 (exp.f64 (sin.f64 x)))) (log.f64 (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 x) x) 2)) (cbrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 3 (*.f64 1/3 (-.f64 (sin.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (fma.f64 x (+.f64 x (sin.f64 x)) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (/.f64 1 (+.f64 x (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify54.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	86	544
1	261	468
2	866	434
3	4526	406

Stop Event

1×	node limit

Counts

164 → 167

Calls

Call 1

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

eval512.0ms (2.4%)

Compiler: Compiled 35662 to 13814 computations (61.3% saved)

prune338.0ms (1.6%)

Pruning

21 alts after pruning (9 fresh and 12 done)

	Pruned	Kept	Total
New	1275	1	1276
Fresh	1	8	9
Picked	0	1	1
Done	1	11	12
Total	1277	21	1298

Error

0.0b

Counts

1298 → 21

Alt Table

Click to see full alt table

Status	Error	Program
	34.4b	(fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2)
✓	62.0b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (log.f64 (exp.f64 (-.f64 (sin.f64 x) x)))))
✓	45.6b	(/.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x))
✓	34.0b	(fma.f64 x (.f64 x 9/40) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1/2))
✓	28.3b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
✓	28.5b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
✓	33.8b	(+.f64 (.f64 x (.f64 x 9/40)) -1/2)
	30.5b	1
	45.7b	(+.f64 (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 (/.f64 1 (-.f64 (tan.f64 x) x)) x))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)))
✓	33.8b	(fma.f64 x (*.f64 x 9/40) -1/2)
✓	28.5b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
	30.9b	(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
✓	28.5b	(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
	34.3b	(fma.f64 x (*.f64 x 9/40) (log.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (fma.f64 -27/2800 (pow.f64 x 4) -1/2)))))
	34.0b	(fma.f64 x (.f64 x 9/40) (fma.f64 27/112000 (pow.f64 x 6) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) -1/2)))
	34.6b	-1/2
✓	61.0b	(/.f64 (-.f64 (sin.f64 x) x) (log.f64 (exp.f64 (-.f64 (tan.f64 x) x))))
	28.6b	(/.f64 (-.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (+.f64 (sin.f64 x) x)))
✓	27.9b	(*.f64 (/.f64 1 (fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) (neg.f64 x))) (-.f64 (sin.f64 x) x))
✓	30.7b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
	34.0b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)

Compiler

Compiled 311 to 203 computations (34.7% saved)

regimes145.0ms (0.7%)

Counts

36 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

90.0ms	x
17.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
15.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.3b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.3b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 472 to 243 computations (48.5% saved)

bsearch123.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	0.06215681756197389	0.9677415055966984
61.0ms	-0.6406801188909744	-0.008522875167759915

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes97.0ms (0.5%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

3 calls:

59.0ms	x
12.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
12.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.3b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.3b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 205 to 116 computations (43.4% saved)

bsearch124.0ms (0.6%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
62.0ms	0.06215681756197389	0.9677415055966984
61.0ms	-0.6406801188909744	-0.008522875167759915

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes97.0ms (0.5%)

Counts

20 → 3

Calls

Call 1

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

Outputs

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

(fma.f64 x (*.f64 x (fma.f64 x (*.f64 x -27/2800) 9/40)) -1/2)

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

Calls

3 calls:

63.0ms	x
12.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
12.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.1b	3	`x`
0.3b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.3b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 187 to 102 computations (45.5% saved)

bsearch146.0ms (0.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
61.0ms	9.192697744980965e-7	0.06215681756197389
84.0ms	-0.6406801188909744	-0.008522875167759915

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes55.0ms (0.3%)

Counts

19 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2)
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))

Calls

3 calls:

27.0ms	x
10.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
7.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.1b	3	`x`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 173 to 100 computations (42.2% saved)

bsearch69.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	9.192697744980965e-7	0.06215681756197389
37.0ms	-0.6406801188909744	-0.008522875167759915

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes41.0ms (0.2%)

Counts

12 → 3

Calls

Call 1

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

Outputs
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Calls

3 calls:

27.0ms	x
6.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.1b	3	`x`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 89 to 50 computations (43.8% saved)

bsearch66.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
32.0ms	9.192697744980965e-7	0.06215681756197389
34.0ms	-0.6406801188909744	-0.008522875167759915

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes160.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

3 calls:

133.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))
19.0ms	x
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.1b	3	`x`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`
0.5b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 78 to 43 computations (44.9% saved)

bsearch69.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
37.0ms	9.192697744980965e-7	0.06215681756197389
31.0ms	-0.008522875167759915	-0.00024390931347888881

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes21.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 40 to 25 computations (37.5% saved)

bsearch114.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	0.9677415055966984	46.192013035564145
46.0ms	-3.789803549298442	-0.7616479748005466

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes17.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

1 calls:

15.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 28 to 20 computations (28.6% saved)

bsearch111.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
39.0ms	0.9677415055966984	46.192013035564145
71.0ms	-3.789803549298442	-0.7616479748005466

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes39.0ms (0.2%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

38.0ms

Results

Error	Segments	Branch
1.7b	3	`x`

Compiler

Compiled 21 to 16 computations (23.8% saved)

bsearch101.0ms (0.5%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
67.0ms	0.9677415055966984	46.192013035564145
33.0ms	-3.789803549298442	-0.7616479748005466

Compiler

Compiled 14 to 9 computations (35.7% saved)

regimes14.0ms (0.1%)

Accuracy

Total -60.9b remaining (-2944.9%)

Threshold costs -60.9b (-2944.9%)

Counts

5 → 3

Calls

Call 1

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

Outputs
1
-1/2
1

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
2.1b	3	`x`

Compiler

Compiled 8 to 7 computations (12.5% saved)

bsearch159.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
105.0ms	0.9677415055966984	46.192013035564145
54.0ms	-3.789803549298442	-0.7616479748005466

Compiler

Compiled 14 to 9 computations (35.7% saved)

simplify76.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

11×	`+-commutative_binary64`
9×	`*-commutative_binary64`
8×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	77	525
1	101	525
2	111	525
3	114	525
4	115	525

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5770733489402155/9007199254740992) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 559858840821283/9007199254740992) (-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 559858840821283/9007199254740992) (fma.f64 x (.f64 x 9/40) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1/2)) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 1085282192951237/1180591620717411303424) (fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1085282192951237/1180591620717411303424) (fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1085282192951237/1180591620717411303424) (fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -4913103030995047/576460752303423488) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1085282192951237/1180591620717411303424) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8533878926213923/2251799813685248) (-.f64 (/.f64 3 (.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 (.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8533878926213923/2251799813685248) 1 (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8533878926213923/2251799813685248) 1 (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -8533878926213923/2251799813685248) 1 (if (<=.f64 x 8716640567992507/9007199254740992) -1/2 1))
-1/2

Outputs
(if (<=.f64 x -5770733489402155/9007199254740992) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 559858840821283/9007199254740992) (-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 559858840821283/9007199254740992) (+.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 559858840821283/9007199254740992) (fma.f64 x (.f64 x 9/40) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) 1/2)) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 559858840821283/9007199254740992) (fma.f64 x (.f64 x 9/40) (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6))) -1/2)) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 1085282192951237/1180591620717411303424) (fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1085282192951237/1180591620717411303424) (fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2) (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(if (<=.f64 x -5770733489402155/9007199254740992) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1085282192951237/1180591620717411303424) (fma.f64 x (.f64 x (fma.f64 x (.f64 x -27/2800) 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -4913103030995047/576460752303423488) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1085282192951237/1180591620717411303424) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -4913103030995047/576460752303423488) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (if (<=.f64 x 1085282192951237/1180591620717411303424) (+.f64 -1/2 (.f64 x (.f64 x 9/40))) (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8533878926213923/2251799813685248) (-.f64 (/.f64 3 (.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 (.f64 x (*.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8533878926213923/2251799813685248) (-.f64 (/.f64 3 (.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x))) (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 -1/2 (.f64 x (*.f64 x 9/40))) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8533878926213923/2251799813685248) 1 (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8533878926213923/2251799813685248) 1 (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 -1/2 (.f64 x (.f64 x 9/40))) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(if (<=.f64 x -8533878926213923/2251799813685248) 1 (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -8533878926213923/2251799813685248) 1 (if (<=.f64 x 8716640567992507/9007199254740992) (+.f64 -1/2 (.f64 x (.f64 x 9/40))) 1))
(if (<=.f64 x -8533878926213923/2251799813685248) 1 (if (<=.f64 x 8716640567992507/9007199254740992) -1/2 1))
-1/2

Compiler

Compiled 362 to 198 computations (45.3% saved)

soundness687.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	saturated

Compiler

Compiled 392 to 264 computations (32.7% saved)

end283.0ms (1.3%)

Compiler: Compiled 352 to 156 computations (55.7% saved)