Details

analyze469.0ms (3.3%)

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)

sample8.4s (58.3%)

Results

5.2s	1997×	body	2048	valid
2.0s	3089×	body	1024	valid
558.0ms	1615×	body	512	valid
353.0ms	1441×	body	256	valid
224.0ms	114×	body	4096	valid

Bogosity

preprocess173.0ms (1.2%)

Algorithm

2×	egg-herbie

Rules

1016×	`fma-def`
606×	`distribute-lft-in`
520×	`associate-/r*`
394×	`associate--r-`
372×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	16	27
2	26	27
3	44	27
4	74	27
5	133	27
6	281	27
7	579	27
8	1510	27
9	2731	27
10	3633	27
11	4123	27
12	4721	27
13	4753	27
14	4765	27
15	4769	27
16	4769	27
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)

simplify178.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1016×	`fma-def`
606×	`distribute-lft-in`
520×	`associate-/r*`
394×	`associate--r-`
372×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	16	27
2	26	27
3	44	27
4	74	27
5	133	27
6	281	27
7	579	27
8	1510	27
9	2731	27
10	3633	27
11	4123	27
12	4721	27
13	4753	27
14	4765	27
15	4769	27
16	4769	27

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))

eval0.0ms (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

49.6%

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	49.6%	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Compiler

Compiled 10 to 6 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	98.2%	(-.f64 (sin.f64 x) x)
✓	98.2%	(-.f64 (tan.f64 x) x)

Compiler

Compiled 23 to 6 computations (73.9% saved)

series3.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite116.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`associate-/r*`
1560×	`associate-/l*`
1136×	`*-commutative`
816×	`associate-/r/`
530×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	49
1	207	49
2	3136	49

Stop Event

1×	node limit

Counts

3 → 247

Calls

Call 1

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

Outputs
((((+.f64 (tan.f64 x) (neg.f64 x)) (2))) (((+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x))) (2))) (((+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) (2))) (((+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x)) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) (2))) (((+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) (2))) (((+.f64 (neg.f64 x) (tan.f64 x)) (2))) (((+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x))) (2))) (((+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))) (2))) (((+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))) (2))) (((+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x)) (2))) (((+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x)) (2))) (((+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x)) (2))) (((+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1) (2))) (((.f64 (-.f64 (tan.f64 x) x) 1) (2))) (((.f64 1 (-.f64 (tan.f64 x) x)) (2))) (((.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (2))) (((.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (2))) (((.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x))) (2))) (((.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x)))) (2))) (((.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (2))) (((.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))) (2))) (((.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (2))) (((.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (2))) (((.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (-.f64 (tan.f64 x) x)) (2))) (((.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 x x) (.f64 x (tan.f64 x))))) (2))) (((.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (.f64 (.f64 x (+.f64 x (tan.f64 x))) (.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (2))) (((.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (.f64 x (+.f64 x (tan.f64 x))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (.f64 (.f64 x (+.f64 x (tan.f64 x))) (.f64 x (+.f64 x (tan.f64 x))))) (.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((/.f64 (-.f64 (tan.f64 x) x) 1) (2))) (((/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (2))) (((/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (2))) (((/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (2))) (((/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (+.f64 x (tan.f64 x))) (2))) (((/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (/.f64 1 (/.f64 1 (+.f64 x (tan.f64 x))))) (2))) (((/.f64 (+.f64 x (tan.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (-.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))))) (2))) (((/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))) (2))) (((/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))) (2))) (((/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) (2))) (((/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))) (2))) (((/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) (2))) (((/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (neg.f64 (+.f64 x (tan.f64 x)))) (2))) (((/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (.f64 1 (neg.f64 (+.f64 x (tan.f64 x))))) (2))) (((/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 1 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))) (2))) (((/.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))) (2))) (((/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (tan.f64 x) (neg.f64 x))) (2))) (((/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 1 (-.f64 (tan.f64 x) (neg.f64 x)))) (2))) (((/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (2))) (((/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (2))) (((/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (tan.f64 x) (neg.f64 x))))) (2))) (((/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (tan.f64 x) (neg.f64 x)))))) (2))) (((/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (.f64 x x) 3)) (.f64 (+.f64 x (tan.f64 x)) (+.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))) (2))) (((/.f64 (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3)) (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (+.f64 (.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))) (2))) (((/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) 1) (+.f64 x (tan.f64 x))) (2))) (((/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) (2))) (((/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (cbrt.f64 (+.f64 x (tan.f64 x))))) (cbrt.f64 (+.f64 x (tan.f64 x)))) (2))) (((/.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x 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Outputs

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(sin.f64 x) 2)) (-.f64 (*.f64 (*.f64 x (+.f64 x (sin.f64 x))) (*.f64 x (+.f64 x (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))) (2))) (((*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) (2))) (((*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) (2))) (((*.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 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(+.f64 x (tan.f64 x))))) (2))) (((*.f64 (/.f64 (-.f64 (*.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (*.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1) (2))) (((pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2) (2))) (((pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3) (2))) (((pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3) (2))) (((pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1) (2))) (((neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x)))) (2))) (((sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2)) (2))) (((log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))) (2))) (((cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3)) (2))) (((cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3))) (2))) (((expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (2))) (((exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (2))) (((log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))) (2))))

simplify152.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1332×	`associate-r`
1154×	`associate-l`
1056×	`associate-/l*`
876×	`associate-/r*`
816×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	673	13291
1	2106	13149

Stop Event

1×	node limit

Counts

283 → 424

Calls

Call 1

Inputs
(*.f64 1/3 (pow.f64 x 3))
(+.f64 (.f64 1/3 (pow.f64 x 3)) (.f64 2/15 (pow.f64 x 5)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 62/2835 (pow.f64 x 9)) (.f64 2/15 (pow.f64 x 5)))))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(*.f64 -1 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
(+.f64 (sin.f64 x) (*.f64 -1 x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(+.f64 (tan.f64 x) (neg.f64 x))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 x) (+.f64 (neg.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 x) 1 x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 x) 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (-.f64 (tan.f64 x) x) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (neg.f64 x) (tan.f64 x))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (neg.f64 x) (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (fma.f64 (neg.f64 x) 1 x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (-.f64 (tan.f64 x) x))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (-.f64 (tan.f64 x) x))
(+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(*.f64 (-.f64 (tan.f64 x) x) 1)
(*.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (/.f64 1 (+.f64 x (tan.f64 x))))
(.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(*.f64 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)))
(.f64 (/.f64 1 (+.f64 x (tan.f64 x))) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))
(.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (-.f64 (tan.f64 x) x))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 x x) (.f64 x (tan.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (.f64 (.f64 x (+.f64 x (tan.f64 x))) (.f64 x (+.f64 x (tan.f64 x)))))) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))))
(.f64 (/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (.f64 x (+.f64 x (tan.f64 x))) 3))) (-.f64 (+.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (.f64 (.f64 x (+.f64 x (tan.f64 x))) (.f64 x (+.f64 x (tan.f64 x))))) (.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (-.f64 (tan.f64 x) x) 1)
(/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (+.f64 x (tan.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (/.f64 1 (/.f64 1 (+.f64 x (tan.f64 x)))))
(/.f64 (+.f64 x (tan.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.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)))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (tan.f64 x) x)))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 1 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))))))
(/.f64 (+.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x)) (/.f64 1 (-.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 x))))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (tan.f64 x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x))) (.f64 1 (-.f64 (tan.f64 x) (neg.f64 x))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (.f64 (.f64 x x) (.f64 x x))) (.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (.f64 (pow.f64 x 3) (pow.f64 x 3))) (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(/.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (.f64 (tan.f64 x) (neg.f64 x)))))
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(*.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))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (*.f64 (-.f64 (sin.f64 x) x) (+.f64 x (tan.f64 x))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 (-.f64 (sin.f64 x) 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)))))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (sin.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) 1))
(*.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))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.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)))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (-.f64 (tan.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) 1))
(*.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))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(.f64 (/.f64 (-.f64 (sin.f64 x) x) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (-.f64 (sin.f64 x) x)))
(.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.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)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x))) (-.f64 (sin.f64 x) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (*.f64 x (sin.f64 x))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (.f64 x (+.f64 x (sin.f64 x)))))) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (.f64 (.f64 x (+.f64 x (sin.f64 x))) (.f64 x (+.f64 x (sin.f64 x)))) (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (tan.f64 x) 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)))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.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))))
(+.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)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 x))
(*.f64 -1/6 (pow.f64 x 3))
(*.f64 (pow.f64 x 3) -1/6)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/120 (pow.f64 x 5)))
(fma.f64 -1/6 (pow.f64 x 3) (*.f64 (pow.f64 x 5) 1/120))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -1/5040)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/362880 (pow.f64 x 9)) (+.f64 (.f64 1/120 (pow.f64 x 5)) (.f64 -1/5040 (pow.f64 x 7)))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/362880 (pow.f64 x 9) (fma.f64 1/120 (pow.f64 x 5) (*.f64 (pow.f64 x 7) -1/5040))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 x))
(-.f64 (sin.f64 x) x)
(+.f64 (sin.f64 x) (*.f64 -1 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)
(-.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)
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) -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))
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 (neg.f64 (sin.f64 x)) x)) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (-.f64 1 (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 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)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (.f64 x (.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 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))))))
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (neg.f64 (sin.f64 x)) (/.f64 (.f64 x (.f64 x (cos.f64 x))) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (-.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (pow.f64 x 3)))) (/.f64 (/.f64 (neg.f64 (sin.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 (neg.f64 (/.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 1 (.f64 -1 (+.f64 (.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))))
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(.f64 (/.f64 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) 3))) (+.f64 (.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (.f64 (.f64 x (+.f64 x (sin.f64 x))) (.f64 x (+.f64 x (sin.f64 x)))) (.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))))
(.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 2) 3) (pow.f64 (*.f64 x (+.f64 x (sin.f64 x))) 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 (sin.f64 x) 4) (.f64 (.f64 x (+.f64 x (sin.f64 x))) (-.f64 (.f64 x (+.f64 x (sin.f64 x))) (pow.f64 (sin.f64 x) 2)))) (/.f64 1 (.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (+.f64 x (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 6)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (-.f64 (tan.f64 x) x))))
(.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (-.f64 (sin.f64 x) x) (.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (-.f64 (sin.f64 x) x) (*.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (-.f64 (sin.f64 x) x)) (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (*.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x))))
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (+.f64 x (tan.f64 x)) (+.f64 x (tan.f64 x)))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(.f64 (+.f64 x (tan.f64 x)) (.f64 (+.f64 x (tan.f64 x)) (/.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 x (tan.f64 x)))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 (.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x)))
(.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(/.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (tan.f64 x) 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)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 (tan.f64 x) x))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 x (tan.f64 x)))) (*.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (-.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 (tan.f64 x) x))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 x (tan.f64 x)) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (+.f64 x (tan.f64 x)) (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (+.f64 (.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 x (-.f64 x (tan.f64 x)))) (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 2)
(/.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))) 3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3) 1/3)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(neg.f64 (/.f64 (-.f64 (sin.f64 x) x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (-.f64 (tan.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) 3))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

eval195.0ms (1.4%)

Compiler: Compiled 10663 to 3708 computations (65.2% saved)

prune106.0ms (0.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	419	5	424
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	419	6	425

Error

100.0%

Counts

425 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	52.2%	(fma.f64 9/40 (*.f64 x x) -1/2)
✓	49.6%	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶	49.8%	(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
▶	49.6%	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
	49.1%	1
	51.5%	-1/2

Compiler

Compiled 44 to 27 computations (38.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 x (-.f64 (tan.f64 x) x))
✓	99.9%	(/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))
✓	98.5%	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
	98.2%	(-.f64 (tan.f64 x) x)

Compiler

Compiled 37 to 7 computations (81.1% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite158.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`associate-/l*`
1380×	`associate-/r/`
598×	`associate-/l/`
268×	`+-commutative`
262×	`associate-+l+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	65
1	235	65
2	3752	65

Stop Event

1×	node limit

Counts

3 → 280

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
((((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1)) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (neg.f64 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))))) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (neg.f64 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))))) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (neg.f64 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))))) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (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))))) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (neg.f64 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))))) (2))) (((+.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (+.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (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 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Outputs

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x))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.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))))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x)))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) 1) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) (2))) (((pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 1) (2))) (((pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) 2) (2))) (((pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) 3) (2))) (((pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (sin.f64 x)) -1) (2))) (((pow.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 3) 1/3) (2))) (((neg.f64 (/.f64 (sin.f64 x) (neg.f64 (-.f64 (tan.f64 x) x)))) (2))) (((sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 2)) (2))) (((log.f64 (exp.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))))) (2))) (((cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) 3)) (2))) (((expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))) (2))) (((exp.f64 (log.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))) (2))) (((exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))) 1)) (2))) (((log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)))) (2))))

((((-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) 1) (2))) (((*.f64 x (/.f64 1 (-.f64 (tan.f64 x) x))) (2))) (((*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1) (2))) (((*.f64 1 (/.f64 x (-.f64 (tan.f64 x) x))) (2))) (((*.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)) (2))) (((*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x) (2))) (((*.f64 (/.f64 x 1) (/.f64 1 (-.f64 (tan.f64 x) x))) (2))) (((*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 x (cbrt.f64 (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))) (2))) (((*.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))))) (2))) (((*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 x (+.f64 x (tan.f64 x)))) (2))) (((*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 x)) (2))) (((*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((*.f64 (/.f64 (sqrt.f64 x) (-.f64 (tan.f64 x) x)) (sqrt.f64 x)) (2))) (((*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 x)) (2))) (((*.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x)))) (2))) (((*.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x))) (2))) (((*.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))))) (2))) (((*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x)) (2))) (((*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (+.f64 x (tan.f64 x))) (2))) (((*.f64 (/.f64 (neg.f64 x) (neg.f64 (-.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))))) (2))) (((*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (-.f64 (tan.f64 x) x))) (2))) (((*.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (+.f64 x (tan.f64 x))) (2))) (((*.f64 (/.f64 (/.f64 x 1) (-.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))))) (2))) (((*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x)))) (2))) (((*.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x))) (2))) (((*.f64 (/.f64 (/.f64 x 1) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x))))) (2))) (((*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x)))) (2))) (((*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))))) (2))) (((*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x)))) (2))) (((pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1) (2))) (((pow.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (2))) (((pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 3) (2))) (((pow.f64 (/.f64 (-.f64 (tan.f64 x) x) x) -1) (2))) (((pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 1/3) (2))) (((neg.f64 (/.f64 x (neg.f64 (-.f64 (tan.f64 x) x)))) (2))) (((sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (2))) (((log.f64 (exp.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (2))) (((expm1.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((exp.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 1)) (2))) (((log1p.f64 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))))

simplify206.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1186×	`associate-r`
1066×	`*-commutative`
964×	`associate-l`
914×	`associate-/l*`
850×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	816	21774
1	2827	21522

Stop Event

1×	node limit

Counts

316 → 531

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)
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(*.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)
(*.f64 (/.f64 x 1) (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 x (cbrt.f64 (-.f64 (tan.f64 x) x))))
(.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (+.f64 x (tan.f64 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)))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (*.f64 x (+.f64 x (tan.f64 x))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 x (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 (tan.f64 x) x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 x))
(.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (-.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)))))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (-.f64 (tan.f64 x) x)))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 (/.f64 x 1) (-.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)))))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(.f64 (/.f64 (/.f64 x 1) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) x) -1)
(pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 1/3)
(neg.f64 (/.f64 x (neg.f64 (-.f64 (tan.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 (tan.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)
(-.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)
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) -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))
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 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (sin.f64 x) (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 (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 (sin.f64 x) (.f64 x (cos.f64 x))))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (cos.f64 x)))))
(+.f64 (+.f64 1 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.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)) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (cos.f64 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 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.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 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x 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 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 1 (-.f64 (+.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 (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))))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (neg.f64 (/.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))))
(fma.f64 -1 (/.f64 (fma.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))) (*.f64 x x)) (+.f64 1 (neg.f64 (/.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))))))
(fma.f64 -1 (/.f64 (fma.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))) (.f64 x x)) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))))
(fma.f64 -1 (/.f64 (fma.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))) (.f64 x x)) (+.f64 (.f64 -1 (+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))) (+.f64 1 (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (*.f64 x x))
(/.f64 (/.f64 3 x) x)
(-.f64 (*.f64 3 (/.f64 1 (pow.f64 x 2))) 17/10)
(+.f64 (/.f64 3 (*.f64 x x)) -17/10)
(+.f64 (/.f64 (/.f64 3 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 307/1400 (*.f64 x x) (/.f64 (/.f64 3 x) x)) -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 (+.f64 (fma.f64 307/1400 (.f64 x x) (/.f64 3 (.f64 x x))) (*.f64 (pow.f64 x 4) -1247/126000)) -17/10)
(+.f64 (fma.f64 307/1400 (.f64 x x) (/.f64 (/.f64 3 x) x)) (+.f64 (.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)))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) x)))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 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 (.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 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 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))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 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 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 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)))))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x))) (fma.f64 -1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)) (.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 -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)))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x))) (neg.f64 (/.f64 (sin.f64 x) x)))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 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 (.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 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 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))))
(fma.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (cos.f64 x))) (*.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (pow.f64 (cos.f64 x) 2)))))
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(.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)
(/.f64 x (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 x 1) (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 x (-.f64 (tan.f64 x) x))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 x 1) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 x (cbrt.f64 (-.f64 (tan.f64 x) x))))
(.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (+.f64 x (tan.f64 x)))
(.f64 (+.f64 x (tan.f64 x)) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) 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)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (*.f64 x (+.f64 x (tan.f64 x))))
(.f64 (.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(.f64 (+.f64 x (tan.f64 x)) (/.f64 (.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 x (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(.f64 x (.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) (-.f64 (tan.f64 x) x)) (sqrt.f64 x))
(*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (*.f64 (sqrt.f64 x) (/.f64 (sqrt.f64 x) (cbrt.f64 (-.f64 (tan.f64 x) x)))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (tan.f64 x) x)) (cbrt.f64 x))
(*.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (cbrt.f64 x) (-.f64 (tan.f64 x) x)))
(*.f64 (cbrt.f64 x) (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (tan.f64 x) x)))
(.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(.f64 (neg.f64 (+.f64 x (tan.f64 x))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(neg.f64 (/.f64 (.f64 x (+.f64 x (tan.f64 x))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(.f64 (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(.f64 (-.f64 (tan.f64 x) (neg.f64 x)) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 x (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) (neg.f64 x))))
(.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 x)))) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 x))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (cbrt.f64 x)))
(.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (+.f64 x (tan.f64 x)))
(.f64 (neg.f64 (+.f64 x (tan.f64 x))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(neg.f64 (/.f64 (.f64 x (+.f64 x (tan.f64 x))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(.f64 (/.f64 (neg.f64 x) (neg.f64 (-.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)))))
(.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(*.f64 (/.f64 (/.f64 x 1) 1) (/.f64 1 (-.f64 (tan.f64 x) x)))
(/.f64 x (-.f64 (tan.f64 x) x))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (+.f64 x (tan.f64 x)))
(.f64 (+.f64 x (tan.f64 x)) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) x))
(.f64 (/.f64 (/.f64 x 1) (-.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)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(.f64 (neg.f64 (+.f64 x (tan.f64 x))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(neg.f64 (/.f64 (.f64 x (+.f64 x (tan.f64 x))) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(.f64 (/.f64 (/.f64 x 1) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (neg.f64 x) (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (/.f64 x 1) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(.f64 (-.f64 (tan.f64 x) (neg.f64 x)) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 x (/.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)) (-.f64 (tan.f64 x) (neg.f64 x))))
(.f64 (/.f64 (/.f64 x 1) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (tan.f64 x) (neg.f64 x)))))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (-.f64 (neg.f64 x) (tan.f64 x)))) (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (*.f64 (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (tan.f64 x) x)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (*.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 x (.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x))))) (/.f64 x (*.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 x (.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))))
(/.f64 (.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) x) (.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))))
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 3)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) x) -1)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 1/3)
(/.f64 x (-.f64 (tan.f64 x) x))
(neg.f64 (/.f64 x (neg.f64 (-.f64 (tan.f64 x) x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (tan.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 x (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))
(/.f64 x (-.f64 (tan.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(exp.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 1))
(/.f64 x (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 (-.f64 (sin.f64 x) x) (neg.f64 x))
	98.2%	(-.f64 (sin.f64 x) x)

Compiler

Compiled 17 to 5 computations (70.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite81.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1908×	`add-sqr-sqrt`
1892×	`*-un-lft-identity`
1776×	`add-cube-cbrt`
1752×	`add-cbrt-cube`
188×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	179	17
2	2819	17

Stop Event

1×	node limit

Counts

1 → 37

Calls

Call 1

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

Outputs

((((+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x))) (2))) (((-.f64 (/.f64 (sin.f64 x) x) (/.f64 x x)) (2))) (((-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1) (2))) (((*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x)) (2))) (((*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1) (2))) (((*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x)) (2))) (((*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))) (2))) (((*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)) (2))) (((*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))) (2))) (((*.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x)) (2))) (((*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x))) (2))) (((*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)) (2))) (((*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x)) (2))) (((*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x)) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x)) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x)) (2))) (((pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1) (2))) (((pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (2))) (((pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3) (2))) (((pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3) (2))) (((pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1) (2))) (((neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (2))) (((sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (2))) (((log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))) (2))) (((cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (2))) (((expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1)) (2))) (((log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1034×	`associate-+l+`
1000×	`associate-+r+`
830×	`*-commutative`
526×	`associate-*r/`
458×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	112	1011
1	283	975
2	1134	955
3	4662	955

Stop Event

1×	node limit

Counts

49 → 63

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (.f64 1/6 (.f64 x x)))
(fma.f64 1/6 (.f64 x x) (.f64 -1/120 (pow.f64 x 4)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (.f64 x x) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/5040 (pow.f64 x 6) (fma.f64 1/6 (.f64 x x) (.f64 -1/362880 (pow.f64 x 8)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (/.f64 (sin.f64 x) x) (neg.f64 (/.f64 x x)))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(-.f64 (/.f64 (sin.f64 x) x) (/.f64 x x))
(+.f64 -1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 -1 (/.f64 (+.f64 x (sin.f64 x)) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) -1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) -1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) x))
(/.f64 (-.f64 (neg.f64 x) (sin.f64 x)) x)
(-.f64 -1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(/.f64 (+.f64 x (sin.f64 x)) x)
(+.f64 1 (/.f64 (sin.f64 x) x))

localize41.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	99.9%	(fma.f64 9/40 (*.f64 x x) -1/2)

Compiler

Compiled 13 to 7 computations (46.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`add-sqr-sqrt`
1378×	`*-un-lft-identity`
1288×	`add-cube-cbrt`
1278×	`add-cbrt-cube`
1264×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	161	15
2	1777	15

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs

((((+.f64 -1/2 (*.f64 (*.f64 9/40 x) x)) (2))) (((+.f64 (*.f64 (*.f64 9/40 x) x) -1/2) (2))) (((+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) 1) -1/2) (2))) (((-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1) (2))) (((*.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) (2))) (((*.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) (2))) (((*.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (2))) (((*.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)) (2))) (((*.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (2))) (((/.f64 (-.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) 1/4) (-.f64 (*.f64 (*.f64 9/40 x) x) -1/2)) (2))) (((/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 9/40 x) x) 3) -1/8) (+.f64 (*.f64 (*.f64 (*.f64 9/40 x) x) (*.f64 (*.f64 9/40 x) x)) (-.f64 1/4 (*.f64 (*.f64 (*.f64 9/40 x) x) -1/2)))) (2))) (((pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1) (2))) (((pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2) (2))) (((pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3) (2))) (((pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3) (2))) (((sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2)) (2))) (((log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (2))) (((cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3)) (2))) (((expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (2))) (((exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (2))) (((exp.f64 (*.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)) (2))) (((log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) (2))))

simplify290.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1446×	`distribute-lft-in`
1408×	`distribute-rgt-in`
1240×	`associate-r`
924×	`associate-/l*`
902×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	63	602
1	150	584
2	710	556
3	3330	556

Stop Event

1×	node limit

Counts

34 → 35

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(*.f64 9/40 (pow.f64 x 2))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(+.f64 -1/2 (.f64 (.f64 9/40 x) x))
(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
(+.f64 (.f64 (.f64 (*.f64 9/40 x) x) 1) -1/2)
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(.f64 (fma.f64 9/40 (.f64 x x) -1/2) 1)
(.f64 1 (fma.f64 9/40 (.f64 x x) -1/2))
(.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 9/40 x) x) (.f64 (.f64 9/40 x) x)) 1/4) (-.f64 (.f64 (*.f64 9/40 x) x) -1/2))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 9/40 x) x) 3) -1/8) (+.f64 (.f64 (.f64 (.f64 9/40 x) x) (.f64 (.f64 9/40 x) x)) (-.f64 1/4 (.f64 (.f64 (.f64 9/40 x) x) -1/2))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(exp.f64 (.f64 (log.f64 (fma.f64 9/40 (.f64 x x) -1/2)) 1))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -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 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 x (.f64 9/40 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 x (.f64 9/40 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 -1/2 (.f64 (.f64 9/40 x) x))
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(+.f64 (.f64 (.f64 (*.f64 9/40 x) x) 1) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (+.f64 1 (fma.f64 9/40 (*.f64 x x) -1/2)) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(.f64 (fma.f64 9/40 (.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(.f64 1 (fma.f64 9/40 (.f64 x x) -1/2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) -1/2)) (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) -1/2)) (pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) -1/2)) 2) (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(/.f64 (-.f64 (.f64 (.f64 (.f64 9/40 x) x) (.f64 (.f64 9/40 x) x)) 1/4) (-.f64 (.f64 (*.f64 9/40 x) x) -1/2))
(/.f64 (fma.f64 (.f64 9/40 (.f64 x x)) (.f64 9/40 (.f64 x x)) -1/4) (fma.f64 (*.f64 9/40 x) x 1/2))
(/.f64 (fma.f64 (.f64 9/40 x) (.f64 (pow.f64 x 3) 9/40) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(/.f64 (fma.f64 81/1600 (pow.f64 x 4) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 9/40 x) x) 3) -1/8) (+.f64 (.f64 (.f64 (.f64 9/40 x) x) (.f64 (.f64 9/40 x) x)) (-.f64 1/4 (.f64 (.f64 (.f64 9/40 x) x) -1/2))))
(/.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 3) -1/8) (fma.f64 (.f64 9/40 (.f64 x x)) (.f64 9/40 (.f64 x x)) (-.f64 1/4 (.f64 -1/2 (.f64 9/40 (*.f64 x x))))))
(/.f64 (+.f64 (.f64 729/64000 (pow.f64 (.f64 x x) 3)) -1/8) (fma.f64 (.f64 9/40 x) (.f64 (pow.f64 x 3) 9/40) (-.f64 1/4 (.f64 (.f64 x x) -9/80))))
(/.f64 (fma.f64 729/64000 (pow.f64 (.f64 x x) 3) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (-.f64 1/4 (.f64 x (*.f64 x -9/80)))))
(/.f64 (fma.f64 729/64000 (pow.f64 (.f64 x x) 3) -1/8) (+.f64 (fma.f64 81/1600 (pow.f64 x 4) 1/4) (.f64 x (*.f64 9/80 x))))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (*.f64 x x) -1/2)) 3)
(fma.f64 9/40 (*.f64 x x) -1/2)
(pow.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3) 1/3)
(fma.f64 9/40 (*.f64 x x) -1/2)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 2))
(fma.f64 9/40 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 3))
(fma.f64 9/40 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(exp.f64 (log.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)
(exp.f64 (.f64 (log.f64 (fma.f64 9/40 (.f64 x x) -1/2)) 1))
(fma.f64 9/40 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 9/40 (*.f64 x x) -1/2)

eval312.0ms (2.2%)

Compiler: Compiled 29758 to 9366 computations (68.5% saved)

prune218.0ms (1.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	1059	4	1063
Fresh	0	2	2
Picked	1	0	1
Done	1	2	3
Total	1061	8	1069

Error

100.0%

Counts

1069 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.6%	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶	49.1%	(/.f64 (+.f64 x (sin.f64 x)) x)
▶	48.3%	(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
✓	49.6%	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
▶	49.8%	(-.f64 1 (/.f64 (sin.f64 x) x))
▶	52.2%	(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
	49.1%	1
	51.5%	-1/2

Compiler

Compiled 64 to 40 computations (37.5% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	99.8%	(.f64 (.f64 9/40 x) x)
✓	99.8%	(*.f64 9/40 x)

Compiler

Compiled 19 to 13 computations (31.6% saved)

series1.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite54.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1108×	`add-sqr-sqrt`
1090×	`*-un-lft-identity`
1034×	`pow1`
1016×	`add-cube-cbrt`
1002×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	20
1	121	20
2	1383	20

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

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

Outputs

((((-.f64 (+.f64 1 (*.f64 9/40 x)) 1) (2))) (((pow.f64 (*.f64 9/40 x) 1) (2))) (((pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2) (2))) (((pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3) (2))) (((pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3) (2))) (((sqrt.f64 (*.f64 81/1600 (*.f64 x x))) (2))) (((log.f64 (pow.f64 (exp.f64 9/40) x)) (2))) (((cbrt.f64 (pow.f64 (*.f64 9/40 x) 3)) (2))) (((expm1.f64 (log1p.f64 (*.f64 9/40 x))) (2))) (((exp.f64 (log.f64 (*.f64 9/40 x))) (2))) (((log1p.f64 (expm1.f64 (*.f64 9/40 x))) (2))))

((((-.f64 (+.f64 1 (*.f64 9/40 (*.f64 x x))) 1) (2))) (((pow.f64 (*.f64 9/40 (*.f64 x x)) 1) (2))) (((pow.f64 (*.f64 (sqrt.f64 9/40) x) 2) (2))) (((pow.f64 (cbrt.f64 (*.f64 9/40 (*.f64 x x))) 3) (2))) (((pow.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3) 1/3) (2))) (((sqrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 2)) (2))) (((log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x))) (2))) (((cbrt.f64 (pow.f64 (*.f64 9/40 (*.f64 x x)) 3)) (2))) (((expm1.f64 (log1p.f64 (*.f64 9/40 (*.f64 x x)))) (2))) (((exp.f64 (log.f64 (*.f64 9/40 (*.f64 x x)))) (2))) (((log1p.f64 (expm1.f64 (*.f64 9/40 (*.f64 x x)))) (2))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1414×	`associate-r`
1312×	`associate-+l+`
1270×	`associate-l`
1238×	`associate-+r+`
1114×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	508
1	142	442
2	554	376
3	3918	376

Stop Event

1×	node limit

Counts

34 → 27

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))
(-.f64 (+.f64 1 (*.f64 9/40 x)) 1)
(pow.f64 (*.f64 9/40 x) 1)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(sqrt.f64 (.f64 81/1600 (.f64 x x)))
(log.f64 (pow.f64 (exp.f64 9/40) x))
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(exp.f64 (log.f64 (*.f64 9/40 x)))
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(-.f64 (+.f64 1 (.f64 9/40 (.f64 x x))) 1)
(pow.f64 (.f64 9/40 (.f64 x x)) 1)
(pow.f64 (*.f64 (sqrt.f64 9/40) x) 2)
(pow.f64 (cbrt.f64 (.f64 9/40 (.f64 x x))) 3)
(pow.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(cbrt.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 3))
(expm1.f64 (log1p.f64 (.f64 9/40 (.f64 x x))))
(exp.f64 (log.f64 (.f64 9/40 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 9/40 (.f64 x x))))

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))
(-.f64 (+.f64 1 (*.f64 9/40 x)) 1)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (*.f64 9/40 x) 1)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(sqrt.f64 (.f64 81/1600 (.f64 x x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(log.f64 (pow.f64 (exp.f64 9/40) x))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(exp.f64 (log.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(+.f64 (+.f64 1 (*.f64 9/40 x)) -1)
(+.f64 (*.f64 9/40 x) 0)
(*.f64 9/40 x)
(-.f64 (+.f64 1 (.f64 9/40 (.f64 x x))) 1)
(.f64 9/40 (.f64 x x))
(pow.f64 (.f64 9/40 (.f64 x x)) 1)
(.f64 9/40 (.f64 x x))
(pow.f64 (*.f64 (sqrt.f64 9/40) x) 2)
(.f64 9/40 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 9/40 (.f64 x x))) 3)
(.f64 9/40 (.f64 x x))
(pow.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 3) 1/3)
(.f64 9/40 (.f64 x x))
(sqrt.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2))
(.f64 9/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 9/40) (*.f64 x x)))
(.f64 9/40 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 3))
(.f64 9/40 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 9/40 (.f64 x x))))
(.f64 9/40 (.f64 x x))
(exp.f64 (log.f64 (.f64 9/40 (.f64 x x))))
(.f64 9/40 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 9/40 (.f64 x x))))
(.f64 9/40 (.f64 x x))

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	99.9%	(/.f64 (sin.f64 x) x)
✓	98.2%	(-.f64 1 (/.f64 (sin.f64 x) x))

Compiler

Compiled 15 to 6 computations (60% saved)

series2.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite65.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1800×	`add-sqr-sqrt`
1784×	`*-un-lft-identity`
1662×	`add-cube-cbrt`
1646×	`add-cbrt-cube`
168×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	166	28
2	2163	28

Stop Event

1×	node limit

Counts

2 → 62

Calls

Call 1

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

Outputs

((((+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (2))) (((+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)) (2))) (((+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1) (2))) (((*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x))) (2))) (((*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1) (2))) (((*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))) (2))) (((*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)) (2))) (((*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))) (2))) (((*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x)))) (2))) (((*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (2))) (((/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)))) (2))) (((/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)))) (2))) (((/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x))) (2))) (((/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))) (2))) (((/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))) (2))) (((/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x))))) (2))) (((/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x)))) (2))) (((/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))) (2))) (((pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1) (2))) (((pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (2))) (((pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3) (2))) (((pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3) (2))) (((sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2)) (2))) (((log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))) (2))) (((cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3)) (2))) (((expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))) (2))) (((exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x)))) (2))) (((exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1)) (2))) (((log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))) (2))))

((((-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1) (2))) (((*.f64 1 (/.f64 (sin.f64 x) x)) (2))) (((*.f64 (sin.f64 x) (/.f64 1 x)) (2))) (((*.f64 (/.f64 (sin.f64 x) x) 1) (2))) (((*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x))) (2))) (((*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x))) (2))) (((*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x))) (2))) (((*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2)) (2))) (((*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x))) (2))) (((*.f64 (/.f64 1 x) (sin.f64 x)) (2))) (((*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x))) (2))) (((*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x)) (2))) (((*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x)) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x))) (2))) (((pow.f64 (/.f64 (sin.f64 x) x) 1) (2))) (((pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2) (2))) (((pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3) (2))) (((pow.f64 (/.f64 x (sin.f64 x)) -1) (2))) (((pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3) (2))) (((neg.f64 (/.f64 (sin.f64 x) (neg.f64 x))) (2))) (((sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (2))) (((log.f64 (exp.f64 (/.f64 (sin.f64 x) x))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x)))) (2))) (((cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (2))) (((expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x))) (2))) (((exp.f64 (log.f64 (/.f64 (sin.f64 x) x))) (2))) (((exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1)) (2))) (((log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x))) (2))))

simplify54.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1012×	`fma-def`
976×	`associate-/l*`
828×	`associate-*r/`
744×	`unswap-sqr`
708×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	179	2104
1	436	1854
2	1768	1656

Stop Event

1×	node limit

Counts

78 → 98

Calls

Call 1

Inputs
(*.f64 1/6 (pow.f64 x 2))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(*.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sin.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (sin.f64 x) x) 1)
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (/.f64 1 x) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))

Outputs
(*.f64 1/6 (pow.f64 x 2))
(.f64 1/6 (.f64 x x))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (.f64 1/6 (pow.f64 x 2)))
(fma.f64 -1/120 (pow.f64 x 4) (.f64 1/6 (.f64 x x)))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/5040 (pow.f64 x 6))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (.f64 1/5040 (pow.f64 x 6))))
(fma.f64 1/6 (.f64 x x) (fma.f64 -1/120 (pow.f64 x 4) (.f64 1/5040 (pow.f64 x 6))))
(+.f64 (.f64 -1/120 (pow.f64 x 4)) (+.f64 (.f64 -1/362880 (pow.f64 x 8)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 -1/362880 (pow.f64 x 8) (fma.f64 1/6 (.f64 x x) (.f64 1/5040 (pow.f64 x 6)))))
(fma.f64 -1/120 (pow.f64 x 4) (fma.f64 1/6 (.f64 x x) (fma.f64 1/5040 (pow.f64 x 6) (.f64 -1/362880 (pow.f64 x 8)))))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) -1/6))
(fma.f64 (*.f64 x x) -1/6 1)
(fma.f64 x (*.f64 x -1/6) 1)
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (.f64 (pow.f64 x 4) 1/120)))
(+.f64 1 (fma.f64 (pow.f64 x 4) 1/120 (.f64 (.f64 x x) -1/6)))
(fma.f64 (pow.f64 x 4) 1/120 (fma.f64 x (*.f64 x -1/6) 1))
(+.f64 1 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 1 (fma.f64 -1/6 (.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 (pow.f64 x 4) 1/120))))
(+.f64 (fma.f64 (.f64 x x) -1/6 1) (fma.f64 (pow.f64 x 4) 1/120 (.f64 (pow.f64 x 6) -1/5040)))
(+.f64 (fma.f64 x (.f64 x -1/6) 1) (fma.f64 (pow.f64 x 4) 1/120 (.f64 (pow.f64 x 6) -1/5040)))
(+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1))
(-.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (-.f64 1 (/.f64 (sin.f64 x) x)))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2) (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))) (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x)))) (-.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (+.f64 1 (pow.f64 (neg.f64 (/.f64 (sin.f64 x) x)) 3)) (+.f64 1 (-.f64 (*.f64 (neg.f64 (/.f64 (sin.f64 x) x)) (neg.f64 (/.f64 (sin.f64 x) x))) (neg.f64 (/.f64 (sin.f64 x) x)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2))) (neg.f64 (+.f64 1 (/.f64 (sin.f64 x) x))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (/.f64 1 (+.f64 1 (/.f64 (sin.f64 x) x))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 2)) (+.f64 1 (/.f64 (sin.f64 x) x)))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3))) (neg.f64 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(*.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (/.f64 1 (+.f64 1 (+.f64 (/.f64 (sin.f64 x) x) (pow.f64 (/.f64 (sin.f64 x) x) 2)))))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) (pow.f64 (/.f64 (sin.f64 x) x) 2)))
(/.f64 (-.f64 1 (pow.f64 (/.f64 (sin.f64 x) x) 3)) (fma.f64 (/.f64 (sin.f64 x) x) (+.f64 1 (/.f64 (sin.f64 x) x)) 1))
(pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 1)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 2)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (-.f64 1 (/.f64 (sin.f64 x) x))) 3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3) 1/3)
(-.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 2))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x)))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (-.f64 1 (/.f64 (sin.f64 x) x)) 3))
(-.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))) 1))
(exp.f64 (log1p.f64 (neg.f64 (/.f64 (sin.f64 x) x))))
(exp.f64 (log1p.f64 (/.f64 (neg.f64 (sin.f64 x)) x)))
(exp.f64 (log1p.f64 (/.f64 (sin.f64 x) (neg.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 1 (/.f64 (sin.f64 x) x))))
(-.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sin.f64 x) (/.f64 1 x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(.f64 (sqrt.f64 (sin.f64 x)) (.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) (sqrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 2) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 x) (sin.f64 x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 1 (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (sin.f64 x) (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (/.f64 (sqrt.f64 (sin.f64 x)) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sin.f64 x) (cbrt.f64 x)))
(/.f64 (/.f64 (sin.f64 x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))
(/.f64 (sin.f64 x) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) x))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (sin.f64 x)) (sqrt.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (sin.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(pow.f64 (/.f64 (sin.f64 x) x) 1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (sin.f64 x) x)) 2)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (sin.f64 x) x)) 3)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (/.f64 x (sin.f64 x)) -1)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3) 1/3)
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(neg.f64 (/.f64 (sin.f64 x) (neg.f64 x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 2))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (exp.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (sin.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (sin.f64 x) x) 3))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (log.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) x)) 1))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (sin.f64 x) x)))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) x)) -1)
(+.f64 (/.f64 (sin.f64 x) x) 0)
(/.f64 (sin.f64 x) x)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	100.0%	(/.f64 x (-.f64 (tan.f64 x) x))
✓	99.8%	(/.f64 (/.f64 3 x) x)
	98.2%	(-.f64 (tan.f64 x) x)
✓	80.5%	(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))

Compiler

Compiled 35 to 14 computations (60% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
0.0ms	x	@	inf	(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
0.0ms	x	@	0	(/.f64 (/.f64 3 x) x)
0.0ms	x	@	0	(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
0.0ms	x	@	inf	(/.f64 (/.f64 3 x) x)

rewrite103.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1260×	`associate-/r/`
1122×	`distribute-lft-in`
836×	`associate-/l/`
280×	`add-sqr-sqrt`
274×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	262	48
2	4073	48

Stop Event

1×	node limit

Counts

2 → 175

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 3 x) x)

Outputs

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(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3)) (2))) (((expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 1)) (2))) (((log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((fma.f64 (/.f64 3 x) (/.f64 1 x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((fma.f64 1 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((fma.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))))

((((-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 3 x) x))) 1) (2))) (((*.f64 3 (*.f64 (/.f64 1 x) (/.f64 1 x))) (2))) (((*.f64 3 (/.f64 (/.f64 1 x) x)) (2))) (((*.f64 (/.f64 3 x) (/.f64 1 x)) (2))) (((*.f64 (/.f64 (/.f64 3 x) x) 1) (2))) (((*.f64 1 (/.f64 (/.f64 3 x) x)) (2))) (((*.f64 (sqrt.f64 (/.f64 3 x)) (*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 1 x))) (2))) (((*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x)) (2))) (((*.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x)) (2))) (((*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (*.f64 (cbrt.f64 (/.f64 3 x)) (/.f64 1 x))) (2))) (((*.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2)) (2))) (((*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x))) (2))) (((*.f64 (/.f64 1 x) (/.f64 3 x)) (2))) (((*.f64 (/.f64 -3 x) (/.f64 1 (neg.f64 x))) (2))) (((*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 3 x) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 3 x) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 3 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 1 (neg.f64 x)) (/.f64 -3 x)) (2))) (((*.f64 (/.f64 (/.f64 1 x) x) 3) (2))) (((*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 3 (sqrt.f64 x))) (2))) (((*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) x) (sqrt.f64 (/.f64 3 x))) (2))) (((*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 3 x)) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 3 x)) x)) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 3 x)) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 3 x) x))) (2))) (((*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 3 x)))) (sqrt.f64 (/.f64 3 x))) (2))) (((*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 3 x)) 2))) (cbrt.f64 (/.f64 3 x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) x) (cbrt.f64 (/.f64 3 x))) (2))) (((*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 3 x)) (2))) (((*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (cbrt.f64 x))) (2))) (((*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -3) (2))) (((pow.f64 (/.f64 (/.f64 3 x) x) 1) (2))) (((pow.f64 (/.f64 (sqrt.f64 3) x) 2) (2))) (((pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 3) (2))) (((pow.f64 (/.f64 x (/.f64 3 x)) -1) (2))) (((pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) 1/3) (2))) (((neg.f64 (/.f64 3 (*.f64 (neg.f64 x) x))) (2))) (((sqrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2)) (2))) (((log.f64 (exp.f64 (/.f64 (/.f64 3 x) x))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 3 x) x)))) (2))) (((cbrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3)) (2))) (((expm1.f64 (log1p.f64 (/.f64 (/.f64 3 x) x))) (2))) (((exp.f64 (log.f64 (/.f64 (/.f64 3 x) x))) (2))) (((exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 3 x) x)) 1)) (2))) (((log1p.f64 (expm1.f64 (/.f64 (/.f64 3 x) x))) (2))))

simplify109.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

904×	`associate-r`
736×	`associate-l`
682×	`associate-/l*`
632×	`*-commutative`
622×	`times-frac`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	530	14223
1	1807	13831

Stop Event

1×	node limit

Counts

199 → 294

Calls

Call 1

Inputs
6/5
(+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5)
(+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4))))
(+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (+.f64 (.f64 2/7875 (pow.f64 x 4)) (*.f64 37/3031875 (pow.f64 x 6)))))
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 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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)))))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(/.f64 3 (pow.f64 x 2))
(+.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (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)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (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)))))
(+.f64 (/.f64 (/.f64 3 x) x) (.f64 1 (.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1)))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 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)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 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)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 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)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 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)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 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)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 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)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (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)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (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)))))
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(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (-.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) 3) (pow.f64 (.f64 x x) 3)) (.f64 (.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (.f64 (.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x))) (+.f64 (.f64 (.f64 x x) (.f64 x x)) (.f64 (.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (*.f64 x x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) 3) (pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 (/.f64 3 x) x) 3)) (+.f64 (.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (*.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) 3) (pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) 3)) (.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 (/.f64 3 x) x) 2)) (+.f64 (.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))))))
(/.f64 (-.f64 (.f64 3 (-.f64 (tan.f64 x) x)) (pow.f64 x 3)) (.f64 (*.f64 x x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (.f64 (.f64 x x) 1)) (.f64 (*.f64 x x) (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 (-.f64 (.f64 3 (neg.f64 (-.f64 (tan.f64 x) x))) (.f64 (.f64 x x) (neg.f64 x))) (.f64 (*.f64 x x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (.f64 (/.f64 3 x) (/.f64 (-.f64 (tan.f64 x) x) x)) x) (.f64 x (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 (-.f64 (.f64 (/.f64 3 x) (neg.f64 (-.f64 (tan.f64 x) x))) (.f64 x (neg.f64 x))) (*.f64 x (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) (+.f64 x (.f64 (/.f64 x (/.f64 3 x)) x))) (.f64 (/.f64 x (/.f64 3 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (/.f64 (-.f64 (tan.f64 x) x) x) (.f64 (/.f64 x (/.f64 3 x)) 1)) (.f64 (/.f64 x (/.f64 3 x)) (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 (-.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (.f64 (/.f64 x (/.f64 3 x)) (neg.f64 x))) (.f64 (/.f64 x (/.f64 3 x)) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (.f64 (/.f64 -3 x) (-.f64 (tan.f64 x) x)) (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 -3 x) (/.f64 (-.f64 (tan.f64 x) x) x)) (.f64 (neg.f64 x) 1)) (*.f64 (neg.f64 x) (/.f64 (-.f64 (tan.f64 x) x) x)))
(/.f64 (-.f64 (.f64 (/.f64 -3 x) (neg.f64 (-.f64 (tan.f64 x) x))) (.f64 (neg.f64 x) (neg.f64 x))) (*.f64 (neg.f64 x) (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))) (neg.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))))
(/.f64 (neg.f64 (-.f64 (.f64 3 (/.f64 (-.f64 (tan.f64 x) x) x)) (.f64 x x))) (neg.f64 (*.f64 x (-.f64 (tan.f64 x) x))))
(pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(fma.f64 (/.f64 3 x) (/.f64 1 x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 1 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (/.f64 3 x) x))) 1)
(.f64 3 (.f64 (/.f64 1 x) (/.f64 1 x)))
(*.f64 3 (/.f64 (/.f64 1 x) x))
(*.f64 (/.f64 3 x) (/.f64 1 x))
(*.f64 (/.f64 (/.f64 3 x) x) 1)
(*.f64 1 (/.f64 (/.f64 3 x) x))
(.f64 (sqrt.f64 (/.f64 3 x)) (.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (.f64 (cbrt.f64 (/.f64 3 x)) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)))
(*.f64 (/.f64 1 x) (/.f64 3 x))
(*.f64 (/.f64 -3 x) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 3 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 3 x) (cbrt.f64 x)))
(*.f64 (/.f64 3 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 -3 x))
(*.f64 (/.f64 (/.f64 1 x) x) 3)
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) x) (sqrt.f64 (/.f64 3 x)))
(*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 3 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 3 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 3 x) x)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 3 x)))) (sqrt.f64 (/.f64 3 x)))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 3 x)) 2))) (cbrt.f64 (/.f64 3 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) x) (cbrt.f64 (/.f64 3 x)))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 3 x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (cbrt.f64 x)))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -3)
(pow.f64 (/.f64 (/.f64 3 x) x) 1)
(pow.f64 (/.f64 (sqrt.f64 3) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 3)
(pow.f64 (/.f64 x (/.f64 3 x)) -1)
(pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) 1/3)
(neg.f64 (/.f64 3 (*.f64 (neg.f64 x) x)))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 3 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 3 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 3 x) x)))
(exp.f64 (log.f64 (/.f64 (/.f64 3 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 3 x) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 3 x) x)))

Outputs
6/5
(+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5)
(fma.f64 1/175 (*.f64 x x) 6/5)
(+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4))))
(+.f64 (fma.f64 1/175 (.f64 x x) 6/5) (.f64 2/7875 (pow.f64 x 4)))
(+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (+.f64 (.f64 2/7875 (pow.f64 x 4)) (*.f64 37/3031875 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/175 (.f64 x x) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (.f64 37/3031875 (pow.f64 x 6))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.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 3 (/.f64 1 (pow.f64 x 2))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 x x))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 3 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 3 (.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 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 x x))) (+.f64 1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (/.f64 3 x) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))) (+.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 3 (.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 x x))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))) (/.f64 (/.f64 3 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 3 (.f64 x x)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 x x))) (+.f64 1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (/.f64 3 x) x)) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))) (+.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 3 (.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(/.f64 3 (pow.f64 x 2))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(+.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1))
(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
(-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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)))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))) (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))
(-.f64 (+.f64 (-.f64 (/.f64 3 (*.f64 x x)) (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x))) (/.f64 x (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1) (fma.f64 (neg.f64 (/.f64 1 (-.f64 (tan.f64 x) x))) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))) (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))
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(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 3 x) (cbrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 3 (sqrt.f64 x)) (/.f64 (/.f64 1 x) (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 3 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 3 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 1 x) (cbrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 1 (neg.f64 x)) (/.f64 -3 x))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) x) 3)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (sqrt.f64 x)) (/.f64 3 (sqrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (/.f64 3 x) (sqrt.f64 x)))
(/.f64 (/.f64 (/.f64 3 x) (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) x) (sqrt.f64 (/.f64 3 x)))
(.f64 (sqrt.f64 (/.f64 3 x)) (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))))
(*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (sqrt.f64 (/.f64 3 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (/.f64 3 x)) (cbrt.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) 1) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 3 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (/.f64 3 x)) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (sqrt.f64 x) (/.f64 (cbrt.f64 (/.f64 3 x)) (sqrt.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (/.f64 3 x) x)))
(*.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(.f64 (cbrt.f64 (/.f64 3 (.f64 x x))) (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 1 (/.f64 x (sqrt.f64 (/.f64 3 x)))) (sqrt.f64 (/.f64 3 x)))
(.f64 (sqrt.f64 (/.f64 3 x)) (.f64 (/.f64 1 x) (sqrt.f64 (/.f64 3 x))))
(*.f64 (sqrt.f64 (/.f64 3 x)) (/.f64 (sqrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 1 (/.f64 x (pow.f64 (cbrt.f64 (/.f64 3 x)) 2))) (cbrt.f64 (/.f64 3 x)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 3 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) x) (cbrt.f64 (/.f64 3 x)))
(.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (.f64 (/.f64 1 x) (cbrt.f64 (/.f64 3 x))))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 3 x)) 2) (/.f64 (cbrt.f64 (/.f64 3 x)) x))
(*.f64 (/.f64 (/.f64 1 x) 1) (/.f64 3 x))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(*.f64 (/.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (cbrt.f64 x)))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 3 (.f64 (cbrt.f64 x) x)))
(/.f64 (/.f64 3 (*.f64 x (cbrt.f64 x))) (pow.f64 (cbrt.f64 x) 2))
(*.f64 (/.f64 (/.f64 1 x) (neg.f64 x)) -3)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(pow.f64 (/.f64 (/.f64 3 x) x) 1)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(pow.f64 (/.f64 (sqrt.f64 3) x) 2)
(pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 3)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(pow.f64 (/.f64 x (/.f64 3 x)) -1)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) 1/3)
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(neg.f64 (/.f64 3 (*.f64 (neg.f64 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(sqrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2))
(sqrt.f64 (pow.f64 (/.f64 3 (*.f64 x x)) 2))
(log.f64 (exp.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (/.f64 3 x) x))))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(cbrt.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(expm1.f64 (log1p.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(exp.f64 (log.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 3 x) x)) 1))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))
(log1p.f64 (expm1.f64 (/.f64 (/.f64 3 x) x)))
(/.f64 (/.f64 3 x) x)
(/.f64 3 (*.f64 x x))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(/.f64 (+.f64 x (sin.f64 x)) x)

Compiler

Compiled 14 to 4 computations (71.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1826×	`add-sqr-sqrt`
1810×	`*-un-lft-identity`
1694×	`add-cube-cbrt`
1674×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	153	17
2	2188	17

Stop Event

1×	node limit

Counts

1 → 32

Calls

Call 1

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

Outputs

((((-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1) (2))) (((*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x)) (2))) (((*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1) (2))) (((*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x)) (2))) (((*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (*.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))) (2))) (((*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x))) (2))) (((*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)) (2))) (((*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x))) (2))) (((*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x))) (2))) (((*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x)) (2))) (((*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x)) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x))) (2))) (((*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1) (2))) (((pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (2))) (((pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3) (2))) (((pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3) (2))) (((pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1) (2))) (((neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x))) (2))) (((sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2)) (2))) (((log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))) (2))) (((cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3)) (2))) (((expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))) (((exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1)) (2))) (((log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) (2))))

simplify53.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

810×	`*-commutative`
624×	`associate-*r/`
442×	`associate-*l/`
404×	`unswap-sqr`
396×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	846
1	251	830
2	979	826
3	4675	826

Stop Event

1×	node limit

Counts

44 → 51

Calls

Call 1

Inputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))

Outputs
2
(+.f64 2 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 2 (.f64 -1/6 (.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 2)
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (.f64 1/120 (pow.f64 x 4))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (.f64 1/120 (pow.f64 x 4))))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 1/120 (pow.f64 x 4) 2))
(+.f64 2 (+.f64 (.f64 -1/6 (pow.f64 x 2)) (+.f64 (.f64 -1/5040 (pow.f64 x 6)) (*.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (fma.f64 -1/5040 (pow.f64 x 6) (.f64 1/120 (pow.f64 x 4)))))
(+.f64 2 (fma.f64 -1/6 (.f64 x x) (fma.f64 1/120 (pow.f64 x 4) (.f64 -1/5040 (pow.f64 x 6)))))
(+.f64 2 (fma.f64 1/120 (pow.f64 x 4) (fma.f64 -1/6 (.f64 x x) (.f64 -1/5040 (pow.f64 x 6)))))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
1
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x))) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (+.f64 x (sin.f64 x)) (/.f64 1 x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 1 (/.f64 (+.f64 x (sin.f64 x)) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (/.f64 1 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 x) (+.f64 x (sin.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (neg.f64 (+.f64 x (sin.f64 x))) (/.f64 1 (neg.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (+.f64 x (sin.f64 x)) (sqrt.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) 1) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (+.f64 x (sin.f64 x)) (cbrt.f64 x)))
(/.f64 (/.f64 (+.f64 x (sin.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x)))
(/.f64 (+.f64 x (sin.f64 x)) (*.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) 1) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) x))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (sqrt.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(*.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) 2) (/.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (+.f64 1 (/.f64 (sin.f64 x) x)))))
(pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 2)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 3)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3) 1/3)
(+.f64 1 (/.f64 (sin.f64 x) x))
(pow.f64 (/.f64 x (+.f64 x (sin.f64 x))) -1)
(+.f64 1 (/.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (+.f64 x (sin.f64 x)) (neg.f64 x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 2))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (exp.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x))))
(+.f64 1 (/.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 x (sin.f64 x)) x) 3))
(+.f64 1 (/.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 x (sin.f64 x)) x)) 1))
(+.f64 1 (/.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 x (sin.f64 x)) x)))
(+.f64 1 (/.f64 (sin.f64 x) x))

eval284.0ms (2%)

Compiler: Compiled 17916 to 7730 computations (56.9% saved)

prune205.0ms (1.4%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	722	2	724
Fresh	0	2	2
Picked	0	1	1
Done	0	5	5
Total	722	10	732

Error

100.0%

Counts

732 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.6%	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	49.1%	(/.f64 (+.f64 x (sin.f64 x)) x)
✓	48.3%	(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
▶	48.2%	(-.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x))
▶	48.6%	(-.f64 (/.f64 (/.f64 3 x) x) -1)
✓	49.6%	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
✓	49.8%	(-.f64 1 (/.f64 (sin.f64 x) x))
✓	52.2%	(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
	49.1%	1
	51.5%	-1/2

Compiler

Compiled 87 to 56 computations (35.6% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	99.8%	(/.f64 (/.f64 3 x) x)

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	99.9%	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)
	99.8%	(/.f64 (/.f64 3 x) x)
	98.2%	(-.f64 (tan.f64 x) x)
✓	80.5%	(-.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x))

Compiler

Compiled 46 to 22 computations (52.2% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(-.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x))
0.0ms	x	@	-inf	(-.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x))
0.0ms	x	@	0	(-.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)
0.0ms	x	@	inf	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)

rewrite142.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1586×	`associate-/l*`
1032×	`associate-/r/`
880×	`distribute-lft-in`
572×	`associate-/l/`
306×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	52
1	296	52
2	4207	52

Stop Event

1×	node limit

Counts

2 → 152

Calls

Call 1

Inputs
(-.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x)

Outputs

((((+.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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))))) (2))) (((+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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))))) (2))) (((+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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)))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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)))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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)))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (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))) (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))))) (2))) (((+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 (cbrt.f64 (/.f64 x (-.f64 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(-.f64 (tan.f64 x) x)) (pow.f64 x 3)) (*.f64 (*.f64 x x) (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (-.f64 (*.f64 (/.f64 3 x) (-.f64 (tan.f64 x) x)) (*.f64 x x)) (*.f64 x (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (-.f64 (tan.f64 x) (+.f64 x (*.f64 (/.f64 x (/.f64 3 x)) x))) (*.f64 (/.f64 x (/.f64 3 x)) (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (-.f64 (*.f64 (/.f64 -3 x) (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))) (neg.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))) (2))) (((pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 1) (2))) (((pow.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 2) (2))) (((pow.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 3) (2))) (((pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3) 1/3) (2))) (((sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 2)) (2))) (((log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))) (2))) (((cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3)) (2))) (((expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 1)) (2))) (((log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((fma.f64 (/.f64 3 x) (/.f64 1 x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((fma.f64 1 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((fma.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))) (((fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (2))))

((((+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) x) (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (tan.f64 x))) (2))) (((+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (tan.f64 x)) (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) x)) (2))) (((+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)) (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x))))) (2))) (((+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2))) (2))) (((+.f64 (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (tan.f64 x)))) (2))) (((-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) 1) (2))) (((/.f64 x (-.f64 (tan.f64 x) x)) (2))) (((/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) x)) (2))) (((/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (sqrt.f64 x))) (2))) (((/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (2))) (((/.f64 1 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 x))) (2))) (((/.f64 (sqrt.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x))) (2))) (((/.f64 (sqrt.f64 x) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (sqrt.f64 x)))) (2))) (((/.f64 (cbrt.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2))) (2))) (((/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x)))) (2))) (((/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)) (cbrt.f64 x))) (2))) (((/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x))) (2))) (((/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (cbrt.f64 x)))) (2))) (((/.f64 (neg.f64 x) (neg.f64 (-.f64 (tan.f64 x) x))) (2))) (((/.f64 -1 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x)) (2))) (((/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x)))) (2))) (((/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (neg.f64 x)))) (2))) (((/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x)))) (2))) (((/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (2))) (((/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (neg.f64 x)))) (2))) (((/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))) (2))) (((/.f64 (*.f64 x -1) (neg.f64 (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (/.f64 x 1) (-.f64 (tan.f64 x) x)) (2))) (((/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x))) (2))) (((/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 x))) (2))) (((/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 x))) (2))) (((pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1) (2))) (((pow.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2) (2))) (((pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 3) (2))) (((pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 1/3) (2))) (((sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (2))) (((log.f64 (exp.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x))))) (2))) (((cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (2))) (((expm1.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((exp.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))) (((exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 1)) (2))) (((log1p.f64 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) (2))))

simplify170.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1334×	`associate-+l+`
1254×	`associate-+r+`
1016×	`+-commutative`
836×	`fma-def`
520×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	467	11692
1	1406	11358
2	6852	11358

Stop Event

1×	node limit

Counts

176 → 268

Calls

Call 1

Inputs
6/5
(+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5)
(+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4))))
(+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (+.f64 (.f64 2/7875 (pow.f64 x 4)) (*.f64 37/3031875 (pow.f64 x 6)))))
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 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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)))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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)))))
(/.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)
(+.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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)))))
(+.f64 (/.f64 (/.f64 3 x) x) (+.f64 (/.f64 (neg.f64 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)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 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))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 1 (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x)))))
(+.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (fma.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x))) (fma.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) x (/.f64 x (-.f64 (tan.f64 x) x)))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))) (/.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)))) (/.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)))) (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (cbrt.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))) (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 (/.f64 3 x) x) 2)) (.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))) (*.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 (/.f64 3 x) x) 2))))
(/.f64 (-.f64 (.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 (/.f64 3 x) x) 3)) (.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))) (.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))))
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) 3)) (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (-.f64 (.f64 (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))) (.f64 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) 3) (pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) 3)) (.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 (/.f64 3 x) x) 2)) (+.f64 (.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2)) (.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) 3) (pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 3)) (.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))) (+.f64 (.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 (/.f64 3 x) x) 3)) (+.f64 (.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3)) (*.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))))))
(/.f64 (-.f64 (.f64 3 (-.f64 (tan.f64 x) x)) (pow.f64 x 3)) (.f64 (*.f64 x x) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 3 x) (-.f64 (tan.f64 x) x)) (.f64 x x)) (*.f64 x (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (tan.f64 x) (+.f64 x (.f64 (/.f64 x (/.f64 3 x)) x))) (.f64 (/.f64 x (/.f64 3 x)) (-.f64 (tan.f64 x) x)))
(/.f64 (-.f64 (.f64 (/.f64 -3 x) (-.f64 (tan.f64 x) x)) (.f64 (neg.f64 x) x)) (*.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))) (neg.f64 (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 3) (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 3 x) x) 2) (*.f64 (/.f64 x (-.f64 (tan.f64 x) x)) (+.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))))
(pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 1)
(pow.f64 (sqrt.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 2)
(pow.f64 (cbrt.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 3)
(pow.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 2))
(log.f64 (exp.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))))))
(cbrt.f64 (pow.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x))) 3))
(expm1.f64 (log1p.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(exp.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))) 1))
(log1p.f64 (expm1.f64 (-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))))
(fma.f64 (/.f64 3 x) (/.f64 1 x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 1 (/.f64 (/.f64 3 x) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 (/.f64 (sqrt.f64 3) x) (/.f64 (sqrt.f64 3) x) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (/.f64 3 x) x)) 2) (cbrt.f64 (/.f64 (/.f64 3 x) x)) (/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x)))
(+.f64 (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) x) (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (tan.f64 x)))
(+.f64 (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (tan.f64 x)) (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) x))
(+.f64 (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)) (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)))
(+.f64 (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (.f64 (/.f64 x (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x)))) 1)
(/.f64 x (-.f64 (tan.f64 x) x))
(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) x))
(/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (sqrt.f64 x)))
(/.f64 1 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 1 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)))
(/.f64 (sqrt.f64 x) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 x) 2)))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (cbrt.f64 (sqrt.f64 x))))
(/.f64 (cbrt.f64 x) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (cbrt.f64 x))))
(/.f64 (neg.f64 x) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 -1 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) x))
(/.f64 (sqrt.f64 (sqrt.f64 x)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (sqrt.f64 (sqrt.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 x)) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 (neg.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 x)) (sqrt.f64 (cbrt.f64 x))))
(/.f64 (sqrt.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)) (sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 (neg.f64 x))) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 (neg.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))
(/.f64 (*.f64 x -1) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 x 1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 x (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (sqrt.f64 x)))
(/.f64 (neg.f64 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (cbrt.f64 x)))
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 1/3)
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(exp.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x))))

Outputs
6/5
(+.f64 (*.f64 1/175 (pow.f64 x 2)) 6/5)
(fma.f64 1/175 (*.f64 x x) 6/5)
(+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4))))
(+.f64 (fma.f64 1/175 (.f64 x x) 6/5) (.f64 2/7875 (pow.f64 x 4)))
(fma.f64 1/175 (*.f64 x x) (fma.f64 2/7875 (pow.f64 x 4) 6/5))
(+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (+.f64 (.f64 2/7875 (pow.f64 x 4)) (*.f64 37/3031875 (pow.f64 x 6)))))
(+.f64 (fma.f64 1/175 (.f64 x x) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (.f64 37/3031875 (pow.f64 x 6))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.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 3 (/.f64 1 (pow.f64 x 2))) (/.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) (.f64 x x))) 1) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 3 (.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 3 (.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 3 (.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))))))
(+.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 3 (/.f64 1 (pow.f64 x 2))) (/.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) (.f64 x x))) 1) (+.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 3 (.f64 x x))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))) (+.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 3 (.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
(+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (/.f64 3 (.f64 x x)))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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)))))
(+.f64 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (.f64 x x))) 1) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 3 (.f64 x x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (+.f64 1 (/.f64 3 (.f64 x x)))))
(+.f64 1 (+.f64 (/.f64 3 (.f64 x x)) (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2)))))))
(-.f64 (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 2))) (/.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)))))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (neg.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (cbrt.f64 x)))
(.f64 (cbrt.f64 x) (.f64 1 (/.f64 (pow.f64 (cbrt.f64 x) 2) (-.f64 (tan.f64 x) x))))
(pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 1)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 2)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 3)
(/.f64 x (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3) 1/3)
(/.f64 x (-.f64 (tan.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 2))
(fabs.f64 (/.f64 x (-.f64 (tan.f64 x) x)))
(log.f64 (exp.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x)))))
(/.f64 x (-.f64 (tan.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 (tan.f64 x) x)) 3))
(/.f64 x (-.f64 (tan.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(exp.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (-.f64 (tan.f64 x) x))) 1))
(/.f64 x (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 (tan.f64 x) x))))
(/.f64 x (-.f64 (tan.f64 x) x))

eval240.0ms (1.7%)

Compiler: Compiled 15021 to 6864 computations (54.3% saved)

prune107.0ms (0.7%)

Pruning

11 alts after pruning (3 fresh and 8 done)

	Pruned	Kept	Total
New	531	1	532
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	531	11	542

Error

100.0%

Counts

542 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	49.6%	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	49.1%	(/.f64 (+.f64 x (sin.f64 x)) x)
✓	48.3%	(-.f64 (/.f64 (/.f64 3 x) x) (/.f64 x (-.f64 (tan.f64 x) x)))
✓	48.2%	(-.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) x))
	48.5%	(-.f64 (/.f64 (/.f64 3 x) x) (*.f64 (/.f64 1 (neg.f64 x)) x))
✓	48.6%	(-.f64 (/.f64 (/.f64 3 x) x) -1)
✓	49.6%	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
✓	49.8%	(-.f64 1 (/.f64 (sin.f64 x) x))
✓	52.2%	(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
	49.1%	1
	51.5%	-1/2

Compiler

Compiled 100 to 65 computations (35% saved)

regimes30.0ms (0.2%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

22.0ms	x
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
100.0%	3	`x`
100.0%	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 124 to 60 computations (51.6% saved)

bsearch63.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
31.0ms	7.786158906323925e-8	7.072138664132435
32.0ms	-20992.55784308097	-1.3542463222545339e-27

Results

57.0ms

320×

body

256

valid

Compiler

Compiled 459 to 298 computations (35.1% saved)

regimes31.0ms (0.2%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

2 calls:

24.0ms	x
4.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
100.0%	3	`x`
100.0%	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 110 to 58 computations (47.3% saved)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
27.0ms	7.786158906323925e-8	7.072138664132435
32.0ms	-20992.55784308097	-1.3542463222545339e-27

Results

54.0ms

320×

body

256

valid

Compiler

Compiled 414 to 289 computations (30.2% saved)

regimes21.0ms (0.1%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 82 to 48 computations (41.5% saved)

bsearch62.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
30.0ms	7.786158906323925e-8	7.072138664132435
32.0ms	-20992.55784308097	-1.3542463222545339e-27

Results

58.0ms

320×

body

256

valid

Compiler

Compiled 374 to 289 computations (22.7% saved)

regimes11.0ms (0.1%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

bsearch59.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
26.0ms	7.786158906323925e-8	7.072138664132435
33.0ms	-20992.55784308097	-1.3542463222545339e-27

Results

55.0ms

320×

body

256

valid

Compiler

Compiled 254 to 209 computations (17.7% saved)

regimes10.0ms (0.1%)

Accuracy

Total -62.4b remaining (-10319.4%)

Threshold costs -62.40b (-10319.4%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/2
1

Outputs
1
-1/2
1

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
99.1%	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch57.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
25.0ms	7.786158906323925e-8	7.072138664132435
32.0ms	-20992.55784308097	-1.3542463222545339e-27

Results

53.0ms

320×

body

256

valid

Compiler

Compiled 134 to 129 computations (3.7% saved)

simplify16.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative`
18×	`sub-neg`
12×	`*-commutative`
8×	`neg-mul-1`
8×	`if-if-or-not`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	55	302
1	84	302
2	98	302
3	106	302
4	110	302

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 4496393867966703/1152921504606846976) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 5764607523034235/1152921504606846976) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -6530219459687219/2251799813685248) (-.f64 (/.f64 (/.f64 3 x) x) -1) (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) (-.f64 (/.f64 (/.f64 3 x) x) -1)))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -6980579422424269/4503599627370496) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2

Outputs
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 4496393867966703/1152921504606846976) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 4496393867966703/1152921504606846976) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -5764607523034235/1152921504606846976) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 5764607523034235/1152921504606846976) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -5764607523034235/1152921504606846976) (not (<=.f64 x 5764607523034235/1152921504606846976))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (+.f64 (.f64 x (.f64 x 9/40)) -1/2))
(if (<=.f64 x -6530219459687219/2251799813685248) (-.f64 (/.f64 (/.f64 3 x) x) -1) (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) (-.f64 (/.f64 (/.f64 3 x) x) -1)))
(if (or (<=.f64 x -6530219459687219/2251799813685248) (not (<=.f64 x 6530219459687219/2251799813685248))) (+.f64 (/.f64 (/.f64 3 x) x) 1) (+.f64 (.f64 x (.f64 x 9/40)) -1/2))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5854679515581645/2251799813685248) (+.f64 (.f64 x (.f64 x 9/40)) -1/2) 1))
(if (<=.f64 x -6980579422424269/4503599627370496) 1 (if (<=.f64 x 6980579422424269/4503599627370496) -1/2 1))
-1/2

Compiler

Compiled 121 to 83 computations (31.4% saved)

soundness819.0ms (5.7%)

Algorithm

3×	egg-herbie

Rules

1332×	`associate-r`
1154×	`associate-l`
1056×	`associate-/l*`
1016×	`fma-def`
1016×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	16	27
2	26	27
3	44	27
4	74	27
5	133	27
6	281	27
7	579	27
8	1510	27
9	2731	27
10	3633	27
11	4123	27
12	4721	27
13	4753	27
14	4765	27
15	4769	27
16	4769	27
0	673	13291
1	2106	13149
0	9	27
1	16	27
2	26	27
3	44	27
4	74	27
5	133	27
6	281	27
7	579	27
8	1510	27
9	2731	27
10	3633	27
11	4123	27
12	4721	27
13	4753	27
14	4765	27
15	4769	27
16	4769	27

Stop Event

1×	saturated
1×	node limit
1×	saturated

Compiler

Compiled 390 to 141 computations (63.8% saved)

end78.0ms (0.5%)

Compiler: Compiled 116 to 73 computations (37.1% saved)

Details

analyze469.0ms (3.3%)

sample8.4s (58.3%)

preprocess173.0ms (1.2%)

simplify178.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.1%)

series3.0ms (0%)

rewrite116.0ms (0.8%)

simplify152.0ms (1.1%)

eval195.0ms (1.4%)

prune106.0ms (0.7%)

localize12.0ms (0.1%)

series4.0ms (0%)

rewrite158.0ms (1.1%)

simplify206.0ms (1.4%)

localize8.0ms (0.1%)

series1.0ms (0%)

rewrite81.0ms (0.6%)

simplify58.0ms (0.4%)

localize41.0ms (0.3%)

series1.0ms (0%)

rewrite57.0ms (0.4%)

simplify290.0ms (2%)

eval312.0ms (2.2%)

prune218.0ms (1.5%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite54.0ms (0.4%)

simplify53.0ms (0.4%)

localize6.0ms (0%)

series2.0ms (0%)

rewrite65.0ms (0.5%)

simplify54.0ms (0.4%)

localize13.0ms (0.1%)

series2.0ms (0%)

rewrite103.0ms (0.7%)

simplify109.0ms (0.8%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite57.0ms (0.4%)

simplify53.0ms (0.4%)

eval284.0ms (2%)

prune205.0ms (1.4%)

localize9.0ms (0.1%)

localize59.0ms (0.4%)

series1.0ms (0%)

rewrite142.0ms (1%)

simplify170.0ms (1.2%)

eval240.0ms (1.7%)

prune107.0ms (0.7%)

regimes30.0ms (0.2%)

bsearch63.0ms (0.4%)

regimes31.0ms (0.2%)

bsearch59.0ms (0.4%)

regimes21.0ms (0.1%)

bsearch62.0ms (0.4%)

regimes11.0ms (0.1%)

bsearch59.0ms (0.4%)

regimes10.0ms (0.1%)

bsearch57.0ms (0.4%)

simplify16.0ms (0.1%)

soundness819.0ms (5.7%)

end78.0ms (0.5%)

Profiling