Details

analyze446.0ms (2.4%)

Algorithm

1×

Search

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

sample8.0s (42.8%)

Results

5.2s	2087×	body	2048	valid
1.9s	3147×	body	1024	valid
482.0ms	1491×	body	512	valid
214.0ms	1419×	body	256	valid
167.0ms	112×	body	4096	valid

Bogosity

preprocess155.0ms (0.8%)

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)

simplify156.0ms (0.8%)

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

29.0b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	29.0b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))

Compiler

Compiled 10 to 6 computations (40% saved)

localize9.0ms (0%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 23 to 6 computations (73.9% saved)

series4.0ms (0%)

Counts

4 → 40

Calls

12 calls:

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

rewrite133.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1602×	`associate-/r*`
1560×	`associate-/l*`
1136×	`*-commutative`
816×	`associate-/r/`
530×	`associate-/l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	54
1	207	54
2	3136	54

Stop Event

1×	node limit

Counts

4 → 264

Calls

Call 1

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

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

simplify137.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-r`
1308×	`associate-/l*`
1296×	`associate-l`
874×	`associate-/r*`
670×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	701	13376
1	2143	13222

Stop Event

1×	node limit

Counts

304 → 449

Calls

Call 1

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

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

eval128.0ms (0.7%)

Compiler: Compiled 11042 to 3902 computations (64.7% saved)

prune85.0ms (0.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	440	9	449
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	440	10	450

Error

0.0b

Counts

450 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	33.7b	(fma.f64 9/40 (*.f64 x x) -1/2)
▶	29.0b	(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) -1)
✓	29.0b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶	30.4b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
	29.0b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
	33.9b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	34.3b	(+.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) -1/2)
▶	29.0b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
	30.1b	1
	34.3b	-1/2

Compiler

Compiled 188 to 130 computations (30.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series4.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite103.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`associate-/l*`
1098×	`associate-/r/`
956×	`distribute-lft-in`
682×	`associate-/l/`
268×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	60
1	252	54
2	3616	54

Stop Event

1×	node limit

Counts

2 → 236

Calls

Call 1

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

Outputs
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simplify140.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1108×	`associate-r`
1036×	`*-commutative`
966×	`associate-/r*`
960×	`associate-/l*`
906×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	763	16756
1	2527	16604

Stop Event

1×	node limit

Counts

260 → 437

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(-.f64 (+.f64 (.f64 -513/1400 (pow.f64 x 4)) (.f64 -9/10 (pow.f64 x 2))) 2)
(-.f64 (+.f64 (.f64 -297/2000 (pow.f64 x 6)) (+.f64 (.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))) (.f64 -1 (/.f64 (sin.f64 x) x)))
(-.f64 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 x 3)) (+.f64 1 (+.f64 (/.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (pow.f64 x 2)) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x)))))) (*.f64 -1 (/.f64 (sin.f64 x) x)))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x))))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 2))) (*.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) x)))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) 1 x)))
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(.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (sin.f64 x) (neg.f64 x)))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (neg.f64 x) 3))) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (sin.f64 x) (neg.f64 x)))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2))) (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(*.f64 (/.f64 1 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (+.f64 x (sin.f64 x)))
(.f64 (/.f64 (neg.f64 (-.f64 (tan.f64 x) x)) (neg.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (/.f64 1 (-.f64 (sin.f64 x) x))) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (-.f64 (tan.f64 x) x))
(.f64 (/.f64 (.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)) (/.f64 1 (-.f64 (sin.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 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (sin.f64 x) x))) (-.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 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (.f64 x (+.f64 x (tan.f64 x))) 3))) (+.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (.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 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (sqrt.f64 (-.f64 (sin.f64 x) x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.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 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (+.f64 x (sin.f64 x)))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))) (+.f64 x (sin.f64 x)))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (+.f64 x (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1)
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (sin.f64 x) x))))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))

Outputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.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 1 (-.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (/.f64 (/.f64 (neg.f64 (sin.f64 x)) x) (cos.f64 x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (.f64 -1 (+.f64 (/.f64 (sin.f64 x) x) (/.f64 (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (.f64 x (cos.f64 x))))
(+.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (/.f64 (.f64 (.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.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 -1 (/.f64 (+.f64 (.f64 -1 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x)) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (-.f64 (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 -1 (sin.f64 x))) (sin.f64 x))) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (.f64 -1 (+.f64 (/.f64 (fma.f64 -1 (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))))) (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (/.f64 (.f64 (.f64 -1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (.f64 -1 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (.f64 x x))))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x)))))
(+.f64 1 (-.f64 (fma.f64 -1 (/.f64 (sin.f64 x) x) (fma.f64 -1 (/.f64 (fma.f64 -1 (.f64 (.f64 (.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (.f64 -1 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))))) (pow.f64 x 3)) (/.f64 (.f64 (.f64 1 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (+.f64 (sin.f64 x) (-.f64 0 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))))) (*.f64 x x)))) (/.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 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (.f64 x x)) (+.f64 1 (neg.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (+.f64 (.f64 -1 (/.f64 (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (pow.f64 x 2))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (+.f64 (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 -1 (.f64 (sin.f64 x) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))))) (pow.f64 x 3))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (pow.f64 x 3)) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (.f64 x x)) (+.f64 1 (fma.f64 -1 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (/.f64 (pow.f64 x 3) (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))))) (.f64 -1 (+.f64 (/.f64 (sin.f64 x) (/.f64 (pow.f64 x 3) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))))
(+.f64 (.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 x 3)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))) (fma.f64 -1 (/.f64 (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)))) (.f64 x x)) (+.f64 1 (fma.f64 -1 (.f64 (/.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (pow.f64 x 3)) (fma.f64 (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (.f64 (neg.f64 (sin.f64 x)) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))) (.f64 -1 (+.f64 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x) (.f64 (/.f64 (sin.f64 x) (pow.f64 x 3)) (.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) (-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (sin.f64 x))))))))))
-2
(-.f64 (*.f64 -9/10 (pow.f64 x 2)) 2)
(fma.f64 -9/10 (*.f64 x x) -2)
(-.f64 (+.f64 (.f64 -513/1400 (pow.f64 x 4)) (.f64 -9/10 (pow.f64 x 2))) 2)
(+.f64 (.f64 -513/1400 (pow.f64 x 4)) (fma.f64 -9/10 (.f64 x x) -2))
(+.f64 -2 (fma.f64 -513/1400 (pow.f64 x 4) (.f64 -9/10 (.f64 x x))))
(-.f64 (+.f64 (.f64 -297/2000 (pow.f64 x 6)) (+.f64 (.f64 -513/1400 (pow.f64 x 4)) (*.f64 -9/10 (pow.f64 x 2)))) 2)
(+.f64 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (.f64 -9/10 (.f64 x x)))) -2)
(+.f64 -2 (fma.f64 -297/2000 (pow.f64 x 6) (fma.f64 -513/1400 (pow.f64 x 4) (.f64 -9/10 (.f64 x x)))))
1
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(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (sqrt.f64 (-.f64 (sin.f64 x) x)))))
(.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))) (/.f64 (-.f64 (tan.f64 x) x) (*.f64 (sqrt.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x))))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(.f64 (/.f64 (/.f64 (-.f64 (tan.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2)) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 (tan.f64 x) x) (.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 x) x)) 2))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))
(.f64 (/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (*.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x))))
(/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x))) (.f64 (+.f64 x (sin.f64 x)) (+.f64 x (sin.f64 x)))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.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 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.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) 2) (.f64 x (+.f64 x (sin.f64 x)))) (.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))) (+.f64 x (sin.f64 x)))
(.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (sin.f64 x) x))) (+.f64 x (sin.f64 x)))
(.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (sin.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))))
(.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))) (/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (*.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))) (.f64 (+.f64 x (sin.f64 x)) (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(.f64 (.f64 (+.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) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))) (.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))
(.f64 (/.f64 (-.f64 (.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (.f64 (-.f64 (sin.f64 x) x) x)) (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)))) (.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x)))) (+.f64 x (sin.f64 x))))
(.f64 (.f64 (+.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) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)))))
(.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))) (.f64 (+.f64 x (sin.f64 x)) (/.f64 (-.f64 (.f64 (-.f64 (sin.f64 x) x) (tan.f64 x)) (.f64 x (-.f64 (sin.f64 x) x))) (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))))))
(pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 1)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(pow.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) -1)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 2)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 3)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(pow.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3) 1/3)
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(neg.f64 (/.f64 (-.f64 (tan.f64 x) x) (neg.f64 (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)) 3))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) 3) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(exp.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))) 1))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))))
(/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(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
0.0ms	x	@	inf	(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms	x	@	0	(fma.f64 9/40 (*.f64 x x) -1/2)
0.0ms	x	@	-inf	(fma.f64 9/40 (*.f64 x x) -1/2)

rewrite50.0ms (0.3%)

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

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

simplify46.0ms (0.2%)

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)

localize8.0ms (0%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
	1.7b	(-.f64 (tan.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 (neg.f64 x) (-.f64 (tan.f64 x) x))
0.0ms	x	@	-inf	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
0.0ms	x	@	0	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))

rewrite72.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1814×	`add-sqr-sqrt`
1798×	`*-un-lft-identity`
1682×	`add-cube-cbrt`
1662×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	181	17
2	2748	17

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify61.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1018×	`associate-+r+`
942×	`times-frac`
912×	`associate-+l+`
864×	`associate-/l*`
622×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	136	1435
1	366	1413
2	1455	1401
3	6064	1401

Stop Event

1×	node limit

Counts

51 → 74

Calls

Call 1

Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(*.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.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 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))

Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (.f64 x x) 6/5) (/.f64 3 (.f64 x x)))
(+.f64 (fma.f64 (.f64 x x) 1/175 6/5) (/.f64 -3 (.f64 x x)))
(+.f64 6/5 (fma.f64 x (.f64 x 1/175) (/.f64 -3 (.f64 x x))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (.f64 x x) 6/5) (.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (.f64 x x)))
(+.f64 (fma.f64 x (.f64 x 1/175) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.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 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (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 1 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x x)) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 (/.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (pow.f64 (cos.f64 x) 2)) (+.f64 (/.f64 (/.f64 (sin.f64 x) x) (cos.f64 x)) (+.f64 1 (/.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 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (*.f64 x (pow.f64 (cos.f64 x) 2)))) (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)))))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(*.f64 x (/.f64 1 (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 x (/.f64 1 (neg.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 1 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 -1 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (+.f64 x (tan.f64 x))) x)
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))
(*.f64 (/.f64 x (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(/.f64 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 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(/.f64 (/.f64 (neg.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 (neg.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x))))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))
(*.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (+.f64 x (tan.f64 x)) x) -1)
(/.f64 x (+.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 x (+.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(/.f64 x (+.f64 x (tan.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(/.f64 x (+.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 (tan.f64 x) x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
	1.7b	(-.f64 (tan.f64 x) x)
	1.7b	(-.f64 (sin.f64 x) x)

Compiler

Compiled 32 to 11 computations (65.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite100.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

992×	`distribute-rgt-in`
964×	`associate-/r*`
946×	`distribute-lft-in`
822×	`associate-/l*`
608×	`associate-/r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	238	44
2	3270	44

Stop Event

1×	node limit

Counts

2 → 211

Calls

Call 1

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

Outputs

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simplify119.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

920×	`associate-/l*`
784×	`associate-r`
738×	`associate-l`
730×	`associate-/r*`
652×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	673	14333
1	2050	13459

Stop Event

1×	node limit

Counts

235 → 344

Calls

Call 1

Inputs
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4))) 1/2)
(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
1
(-.f64 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) x)) (/.f64 (.f64 (sin.f64 x) (-.f64 (.f64 -1 (sin.f64 x)) (.f64 -1 (/.f64 (sin.f64 x) (cos.f64 x))))) (.f64 (cos.f64 x) (pow.f64 x 2)))))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
1
(+.f64 1 (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))
(+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (+.f64 1 (+.f64 (.f64 -1 (/.f64 (.f64 (sin.f64 x) (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))) (.f64 (cos.f64 x) (pow.f64 x 2)))) (*.f64 -1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x)))))
(/.f64 3 (pow.f64 x 3))
(-.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/175 x) (.f64 3 (/.f64 1 (pow.f64 x 3)))) (*.f64 6/5 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1/175 x) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 3))) (.f64 -2/7875 (pow.f64 x 3)))) (.f64 6/5 (/.f64 1 x)))
(/.f64 -1 x)
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 -1 x)
(-.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) (pow.f64 x 2)))) (+.f64 (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 3)))) (.f64 -1 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 4)))))) (/.f64 1 x))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 x) 1 x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 x) 1 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (*.f64 (neg.f64 x) 1)))
(+.f64 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x)) (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x)))
(+.f64 (.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (.f64 (*.f64 (neg.f64 x) 1) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))) (.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x))))
(+.f64 (.f64 1 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (sin.f64 x))) (.f64 1 (.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))))
(+.f64 (.f64 1 (.f64 (sin.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))) (.f64 1 (.f64 (neg.f64 x) (/.f64 1 (-.f64 (tan.f64 x) x)))))
(+.f64 (.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) x) (.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (tan.f64 x)))
(+.f64 (.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (tan.f64 x)) (.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) x))
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(/.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) -1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (.f64 -1 (-.f64 (sin.f64 x) x)) (.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (*.f64 -1 (-.f64 (sin.f64 x) x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) 1) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (+.f64 x (sin.f64 x)))) (sqrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) (/.f64 1 (-.f64 (tan.f64 x) x))) (*.f64 (cbrt.f64 (+.f64 x (sin.f64 x))) (cbrt.f64 (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 x (sin.f64 x))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (*.f64 x (+.f64 x (sin.f64 x))))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (-.f64 (tan.f64 x) x))) (.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))))) (cbrt.f64 (+.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))) 1) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (sqrt.f64 (-.f64 (tan.f64 x) x))) (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) 1) (cbrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (cbrt.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (/.f64 (-.f64 (sin.f64 x) x) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x))) (neg.f64 (-.f64 (tan.f64 x) x))) (+.f64 x (sin.f64 x)))
(/.f64 (/.f64 (.f64 -1 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3))) (neg.f64 (-.f64 (tan.f64 x) x))) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x)))))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) 1) (+.f64 x (sin.f64 x))) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (.f64 x x)) -1) (+.f64 x (sin.f64 x))) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) 1) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (.f64 (-.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 x 3)) -1) (+.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (+.f64 x (sin.f64 x))))) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) 1) (neg.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (-.f64 (tan.f64 x) x))) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (neg.f64 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) -1) (-.f64 (tan.f64 x) x))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (*.f64 (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))) (cbrt.f64 (neg.f64 (-.f64 (tan.f64 x) x))))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)))) (sqrt.f64 (-.f64 (tan.f64 x) x)))
(/.f64 (/.f64 (neg.f64 (-.f64 (sin.f64 x) x)) (neg.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (-.f64 (tan.f64 x) 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)
(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 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) (pow.f64 (-.f64 (sin.f64 x) x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 x) x) 3) (/.f64 1 (pow.f64 (-.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))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) x) (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (tan.f64 x)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (tan.f64 x)) (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) x))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)) (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (+.f64 x (tan.f64 x)))))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 x (+.f64 x (tan.f64 x)))) (*.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (tan.f64 x) 2)))
(+.f64 (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 x x) (pow.f64 (tan.f64 x) 2))) (.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 x (tan.f64 x))))
(+.f64 (.f64 x (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (.f64 (tan.f64 x) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(+.f64 (.f64 (tan.f64 x) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (.f64 x (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))))
(+.f64 (.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (.f64 (*.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(+.f64 (.f64 (.f64 x (+.f64 x (tan.f64 x))) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (*.f64 (pow.f64 (tan.f64 x) 2) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(+.f64 (.f64 (+.f64 (.f64 x x) (pow.f64 (tan.f64 x) 2)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (.f64 (.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))) 1)
(*.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(*.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (pow.f64 (-.f64 (tan.f64 x) x) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(*.f64 -1 (/.f64 -1 (-.f64 (tan.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)) (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))))
(.f64 (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 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 -1 (-.f64 (tan.f64 x) x)) -1)
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1))
(.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 x x) (pow.f64 (tan.f64 x) 2)))
(.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (.f64 x x) 3))) (+.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)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 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 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(.f64 (/.f64 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 (-.f64 (tan.f64 x) x) -1/2) (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 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 -1 (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 1 (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 1 (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 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.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 x 3) (pow.f64 (tan.f64 x) 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(pow.f64 (-.f64 (tan.f64 x) x) -1)
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (-.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 (+.f64 1 (.f64 -1 (/.f64 (sin.f64 x) x))) (.f64 -1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x))))
(-.f64 (+.f64 1 (neg.f64 (/.f64 (sin.f64 x) x))) (/.f64 (neg.f64 (sin.f64 x)) (*.f64 x (cos.f64 x))))
(-.f64 1 (/.f64 (-.f64 (sin.f64 x) (/.f64 (sin.f64 x) (cos.f64 x))) x))
(-.f64 (+.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))))
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(.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.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 (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 1 (-.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) 3) (pow.f64 x 3)))
(*.f64 (/.f64 -1 (-.f64 (tan.f64 x) x)) -1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1) (pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -1))
(pow.f64 (sqrt.f64 (-.f64 (tan.f64 x) x)) -2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2) -1) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) -1))
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (.f64 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (.f64 (.f64 x x) (.f64 x x)))) (+.f64 (.f64 x x) (pow.f64 (tan.f64 x) 2)))
(*.f64 (fma.f64 x x (pow.f64 (tan.f64 x) 2)) (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4))))
(/.f64 (*.f64 (+.f64 x (tan.f64 x)) (fma.f64 x x (pow.f64 (tan.f64 x) 2))) (-.f64 (pow.f64 (tan.f64 x) 4) (pow.f64 x 4)))
(.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 (.f64 x x) 3))) (+.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)))))
(.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 2) 3) (pow.f64 x 6))) (+.f64 (pow.f64 (tan.f64 x) 4) (.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (tan.f64 x) 2)))))
(.f64 (/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6))) (+.f64 (pow.f64 (tan.f64 x) 4) (.f64 (*.f64 x x) (fma.f64 x x (pow.f64 (tan.f64 x) 2)))))
(.f64 (/.f64 1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (neg.f64 (+.f64 x (tan.f64 x))))
(.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(.f64 (/.f64 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 (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 (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 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 (neg.f64 x) (neg.f64 x)))) (-.f64 (tan.f64 x) (neg.f64 x)))
(.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(.f64 (/.f64 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 x (+.f64 x (tan.f64 x)))) (/.f64 1 (-.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) 3) (pow.f64 x 3)))
(.f64 (/.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (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 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) (sqrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x)))) (+.f64 x (tan.f64 x)))
(.f64 (+.f64 x (tan.f64 x)) (/.f64 1 (-.f64 (pow.f64 (tan.f64 x) 2) (.f64 x x))))
(/.f64 (+.f64 x (tan.f64 x)) (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x)))
(.f64 (/.f64 -1 (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 (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 (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 1 (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 1 (.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (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 1 (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 1 (.f64 (cbrt.f64 (-.f64 (pow.f64 (tan.f64 x) 2) (*.f64 x x))) (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (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 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.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 x 3) (pow.f64 (tan.f64 x) 3)))
(.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (tan.f64 x) 6) (pow.f64 x 6))) (+.f64 (pow.f64 x 3) (pow.f64 (tan.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) 6) (pow.f64 x 6)) (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (.f64 (pow.f64 x 3) (pow.f64 x 3)) (*.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))))
(.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (pow.f64 (tan.f64 x) 6) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))))
(.f64 (/.f64 (+.f64 (pow.f64 (tan.f64 x) 2) (.f64 x (+.f64 x (tan.f64 x)))) (-.f64 (pow.f64 (pow.f64 (tan.f64 x) 3) 3) (pow.f64 (pow.f64 x 3) 3))) (+.f64 (*.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)) (+.f64 (pow.f64 x 6) (pow.f64 (tan.f64 x) 6))))
(pow.f64 (-.f64 (tan.f64 x) x) -1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) 1)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (pow.f64 (-.f64 (tan.f64 x) x) -1/2) 2)
(/.f64 1 (-.f64 (tan.f64 x) x))
(pow.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) 3)
(*.f64 (/.f64 1 (cbrt.f64 (-.f64 (tan.f64 x) x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 2)))
(/.f64 1 (pow.f64 (cbrt.f64 (-.f64 (tan.f64 x) x)) 3))
(pow.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(sqrt.f64 (pow.f64 (-.f64 (tan.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x)))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(cbrt.f64 (/.f64 1 (pow.f64 (-.f64 (tan.f64 x) x) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (log.f64 (-.f64 (tan.f64 x) x)) -1))
(/.f64 1 (-.f64 (tan.f64 x) x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (-.f64 (tan.f64 x) x))) 1))
(/.f64 1 (-.f64 (tan.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 1 (-.f64 (tan.f64 x) x))))
(/.f64 1 (-.f64 (tan.f64 x) x))

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
✓	19.3b	(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))

Compiler

Compiled 39 to 26 computations (33.3% saved)

series2.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1862×	`add-sqr-sqrt`
1828×	`*-un-lft-identity`
1714×	`add-cube-cbrt`
1702×	`add-cbrt-cube`
202×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	40
1	226	40
2	2448	40

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))))))

simplify59.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1244×	`associate-/l*`
720×	`associate-/r*`
648×	`unswap-sqr`
556×	`fma-def`
534×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1236
1	231	1190
2	1138	1170
3	4499	1170

Stop Event

1×	node limit

Counts

48 → 50

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 (*.f64 9/40 x) x))
(+.f64 (.f64 (.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (.f64 9/40 x) x) 1) (.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (.f64 (.f64 9/40 x) x) (.f64 (.f64 9/40 x) x)) (.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (.f64 (.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 9/40 x) x) 3) (pow.f64 (.f64 -27/2800 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 9/40 x) x) (.f64 (.f64 9/40 x) x)) (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 (.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))))
(pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (.f64 (log.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -27/2800)) 2)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))

Outputs
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 (*.f64 9/40 x) x))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 (.f64 (.f64 9/40 x) x) 1) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 1 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(/.f64 (-.f64 (.f64 (.f64 (.f64 9/40 x) x) (.f64 (.f64 9/40 x) x)) (.f64 (pow.f64 x 8) 729/7840000)) (-.f64 (.f64 (.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (.f64 9/40 (.f64 x x)) (.f64 9/40 (.f64 x x))) (.f64 (pow.f64 x 8) 729/7840000)) (+.f64 (.f64 9/40 (.f64 x x)) (*.f64 27/2800 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) 729/7840000)) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 (pow.f64 x 4) 27/2800 (.f64 9/40 (*.f64 x x))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (+.f64 (pow.f64 (.f64 (.f64 9/40 x) x) 3) (pow.f64 (.f64 -27/2800 (pow.f64 x 4)) 3)) (+.f64 (.f64 (.f64 (.f64 9/40 x) x) (.f64 (.f64 9/40 x) x)) (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 (.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 3) (.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3))) (fma.f64 (.f64 9/40 (.f64 x x)) (.f64 9/40 (.f64 x x)) (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 (.f64 9/40 (.f64 x x)) -27/2800) (pow.f64 x 4)))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3) (.f64 (pow.f64 (.f64 x x) 3) 729/64000)) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (-.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (.f64 (*.f64 x x) -243/112000)))))
(/.f64 (fma.f64 (pow.f64 (.f64 x x) 3) 729/64000 (.f64 -19683/21952000000 (pow.f64 (.f64 x x) 6))) (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 4) (+.f64 (.f64 (.f64 x x) 243/112000) 81/1600))))
(pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(pow.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 3)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 2))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(log.f64 (exp.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(exp.f64 (log.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(exp.f64 (.f64 (log.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 1))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -27/2800)) 2)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)
(*.f64 -27/2800 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(*.f64 -27/2800 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))
(*.f64 -27/2800 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 1))
(*.f64 -27/2800 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))

eval570.0ms (3%)

Compiler: Compiled 41810 to 15668 computations (62.5% saved)

prune1.3s (7%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	1657	8	1665
Fresh	0	4	4
Picked	1	0	1
Done	2	3	5
Total	1660	15	1675

Error

0.0b

Counts

1675 → 15

Alt Table

Click to see full alt table

Status	Error	Program
	33.9b	(/.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))
✓	29.0b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
	30.5b	(/.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x))))
✓	30.4b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
▶	29.0b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
	29.0b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
▶	33.9b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	34.3b	(+.f64 (+.f64 (.f64 (.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4))) -1/2)
▶	33.7b	(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
	29.0b	(.f64 (/.f64 1 (-.f64 (.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))) (*.f64 (/.f64 x (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))) (+.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
✓	29.0b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
▶	30.5b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
	47.8b	(.f64 (.f64 (/.f64 (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 (sin.f64 x) x))
	30.1b	1
	34.3b	-1/2

Compiler

Compiled 412 to 247 computations (40% saved)

localize211.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 9 computations (74.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite80.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1898×	`associate-/l*`
1268×	`associate-/r/`
1042×	`distribute-lft-in`
738×	`associate-/l/`
264×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	33
1	248	27
2	3628	27

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

Outputs

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

simplify340.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

766×	`+-commutative`
736×	`associate-/r/`
588×	`associate-+r+`
528×	`associate-+l+`
526×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	380	5774
1	1250	5414
2	5618	5386

Stop Event

1×	node limit

Counts

108 → 168

Calls

Call 1

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

localize8.0ms (0%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 19 to 13 computations (31.6% saved)

series2.0ms (0%)

Counts

3 → 24

Calls

9 calls:

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

rewrite63.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1736×	`add-sqr-sqrt`
1706×	`*-un-lft-identity`
1604×	`add-cube-cbrt`
1592×	`add-cbrt-cube`
166×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	35
1	175	35
2	2117	35

Stop Event

1×	node limit

Counts

3 → 61

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

764×	`associate--r+`
752×	`unswap-sqr`
620×	`+-commutative`
540×	`distribute-lft-in`
516×	`associate--l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	143	1783
1	317	1595
2	1224	1405
3	5546	1405

Stop Event

1×	node limit

Counts

85 → 75

Calls

Call 1

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

Outputs
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
-1/2
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (*.f64 9/40 (pow.f64 x 2)) 1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (exp.f64 (log1p.f64 (.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 (.f64 729/64000 (pow.f64 (.f64 x x) 3)) 1/3)
(cbrt.f64 (.f64 729/64000 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 729/64000 (pow.f64 x 6)))
(sqrt.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2))
(.f64 9/40 (.f64 x x))
(log.f64 (pow.f64 (pow.f64 (exp.f64 9/40) x) x))
(.f64 9/40 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 9/40 (.f64 x x)))))
(.f64 9/40 (.f64 x x))
(cbrt.f64 (.f64 729/64000 (pow.f64 (.f64 x x) 3)))
(cbrt.f64 (*.f64 729/64000 (pow.f64 x 6)))
(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))
(exp.f64 (.f64 (log.f64 (.f64 9/40 (*.f64 x x))) 1))
(.f64 9/40 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 9/40 (.f64 x x))))
(.f64 9/40 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 9/40 x))) 1)
(*.f64 9/40 x)
(pow.f64 (*.f64 9/40 x) 1)
(*.f64 9/40 x)
(pow.f64 (sqrt.f64 (*.f64 9/40 x)) 2)
(*.f64 9/40 x)
(pow.f64 (cbrt.f64 (*.f64 9/40 x)) 3)
(*.f64 9/40 x)
(pow.f64 (pow.f64 (*.f64 9/40 x) 3) 1/3)
(*.f64 9/40 x)
(sqrt.f64 (.f64 81/1600 (.f64 x x)))
(sqrt.f64 (.f64 (.f64 81/1600 x) x))
(sqrt.f64 (.f64 x (.f64 x 81/1600)))
(fabs.f64 (*.f64 9/40 x))
(log.f64 (pow.f64 (exp.f64 9/40) x))
(*.f64 9/40 x)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 9/40 x))))
(*.f64 9/40 x)
(cbrt.f64 (pow.f64 (*.f64 9/40 x) 3))
(*.f64 9/40 x)
(expm1.f64 (log1p.f64 (*.f64 9/40 x)))
(*.f64 9/40 x)
(exp.f64 (log.f64 (*.f64 9/40 x)))
(*.f64 9/40 x)
(exp.f64 (.f64 (log.f64 (.f64 9/40 x)) 1))
(*.f64 9/40 x)
(log1p.f64 (expm1.f64 (*.f64 9/40 x)))
(*.f64 9/40 x)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2))) 1)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(-.f64 (/.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (.f64 x x) 1/2)))
(+.f64 (/.f64 (.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 -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 (fma.f64 9/40 (.f64 x x) -1/2) 1)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(.f64 1 (fma.f64 9/40 (.f64 x x) -1/2))
(fma.f64 (*.f64 9/40 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 (*.f64 9/40 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 (*.f64 9/40 x) x -1/2)
(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 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) -1/4) (/.f64 1 (fma.f64 9/40 (.f64 x x) 1/2)))
(-.f64 (/.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (.f64 x x) 1/2)))
(+.f64 (/.f64 (.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 -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 -1/8 (.f64 729/64000 (pow.f64 (.f64 x x) 3))) (/.f64 1 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (-.f64 1/4 (.f64 9/40 (.f64 (.f64 x x) -1/2))))))
(/.f64 (.f64 (+.f64 (.f64 729/64000 (pow.f64 (.f64 x x) 3)) -1/8) 1) (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (+.f64 1/4 (.f64 -9/40 (.f64 x (.f64 x -1/2))))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (+.f64 (.f64 81/1600 (pow.f64 x 4)) (+.f64 1/4 (.f64 9/80 (*.f64 x x)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 1 (/.f64 (fma.f64 9/40 (.f64 x x) 1/2) (+.f64 (pow.f64 (.f64 9/40 (*.f64 x x)) 2) -1/4)))
(-.f64 (/.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (.f64 x x) 1/2)))
(+.f64 (/.f64 (.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 -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 1 (/.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (-.f64 1/4 (.f64 9/40 (.f64 (.f64 x x) -1/2)))) (+.f64 -1/8 (.f64 729/64000 (pow.f64 (*.f64 x x) 3)))))
(/.f64 (.f64 (+.f64 (.f64 729/64000 (pow.f64 (.f64 x x) 3)) -1/8) 1) (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (+.f64 1/4 (.f64 -9/40 (.f64 x (.f64 x -1/2))))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (+.f64 (.f64 81/1600 (pow.f64 x 4)) (+.f64 1/4 (.f64 9/80 (*.f64 x x)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) -1/4) (fma.f64 9/40 (*.f64 x x) 1/2))
(-.f64 (/.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (.f64 x x) 1/2)))
(+.f64 (/.f64 (.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 -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 -1/8 (.f64 729/64000 (pow.f64 (.f64 x x) 3))) (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (-.f64 1/4 (.f64 9/40 (.f64 (*.f64 x x) -1/2)))))
(/.f64 (.f64 (+.f64 (.f64 729/64000 (pow.f64 (.f64 x x) 3)) -1/8) 1) (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (+.f64 1/4 (.f64 -9/40 (.f64 x (.f64 x -1/2))))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (+.f64 (.f64 81/1600 (pow.f64 x 4)) (+.f64 1/4 (.f64 9/80 (*.f64 x x)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (+.f64 -1/8 (.f64 729/64000 (pow.f64 (.f64 x x) 3))) (+.f64 1/4 (-.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (.f64 9/40 (.f64 (*.f64 x x) -1/2)))))
(/.f64 (.f64 (+.f64 (.f64 729/64000 (pow.f64 (.f64 x x) 3)) -1/8) 1) (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (+.f64 1/4 (.f64 -9/40 (.f64 x (.f64 x -1/2))))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (+.f64 (.f64 81/1600 (pow.f64 x 4)) (+.f64 1/4 (.f64 9/80 (*.f64 x x)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(/.f64 (-.f64 1/4 (pow.f64 (.f64 9/40 (.f64 x x)) 2)) (-.f64 -1/2 (.f64 9/40 (.f64 x x))))
(-.f64 (/.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (.f64 x x) 1/2)))
(+.f64 (/.f64 (.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 -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 (neg.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) -1/4)) (neg.f64 (fma.f64 9/40 (*.f64 x x) 1/2)))
(-.f64 (/.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 1/4 (fma.f64 9/40 (.f64 x x) 1/2)))
(+.f64 (/.f64 (.f64 81/1600 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) 1/2)) (/.f64 -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 (neg.f64 (+.f64 -1/8 (.f64 729/64000 (pow.f64 (.f64 x x) 3)))) (neg.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (-.f64 1/4 (.f64 9/40 (.f64 (*.f64 x x) -1/2))))))
(/.f64 (.f64 (+.f64 (.f64 729/64000 (pow.f64 (.f64 x x) 3)) -1/8) 1) (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 2) (+.f64 1/4 (.f64 -9/40 (.f64 x (.f64 x -1/2))))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (+.f64 (.f64 81/1600 (pow.f64 x 4)) (+.f64 1/4 (.f64 9/80 (*.f64 x x)))))
(/.f64 (fma.f64 729/64000 (pow.f64 x 6) -1/8) (fma.f64 81/1600 (pow.f64 x 4) (fma.f64 9/80 (*.f64 x x) 1/4)))
(pow.f64 (fma.f64 9/40 (*.f64 x x) -1/2) 1)
(fma.f64 (*.f64 9/40 x) x -1/2)
(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 (*.f64 9/40 x) x -1/2)
(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 (*.f64 9/40 x) x -1/2)
(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 (*.f64 9/40 x) x -1/2)
(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 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(log.f64 (exp.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2))))
(fma.f64 (*.f64 9/40 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 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(expm1.f64 (log1p.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 (*.f64 9/40 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 (*.f64 9/40 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 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(log1p.f64 (expm1.f64 (fma.f64 9/40 (*.f64 x x) -1/2)))
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 x (*.f64 9/40 x) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 1 (.f64 9/40 (.f64 x x)) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (.f64 (sqrt.f64 9/40) x) (.f64 (sqrt.f64 9/40) x) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 9/40 (.f64 x x))) 2) (cbrt.f64 (.f64 9/40 (.f64 x x))) -1/2)
(fma.f64 (*.f64 9/40 x) x -1/2)
(fma.f64 9/40 (*.f64 x x) -1/2)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (-.f64 (tan.f64 x) x))
✓	0.1b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
	1.7b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 26 to 10 computations (61.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1976×	`add-sqr-sqrt`
1956×	`*-un-lft-identity`
1826×	`add-cube-cbrt`
1802×	`add-cbrt-cube`
212×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	21
1	213	17
2	2941	17

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

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

Outputs

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

simplify57.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

1358×	`associate-/r/`
1122×	`distribute-rgt-in`
1112×	`distribute-lft-in`
640×	`associate-r`
622×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	98	989
1	232	985
2	825	973
3	4293	973

Stop Event

1×	node limit

Counts

37 → 58

Calls

Call 1

Inputs
(/.f64 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) x))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 x (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))
(/.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) x))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 (/.f64 x 1) (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))

Outputs
(/.f64 -3 (pow.f64 x 2))
(/.f64 -3 (*.f64 x x))
(/.f64 (/.f64 -3 x) x)
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 6/5 (/.f64 3 (*.f64 x x)))
(+.f64 6/5 (/.f64 -3 (*.f64 x x)))
(+.f64 6/5 (/.f64 (/.f64 -3 x) x))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (fma.f64 1/175 (.f64 x x) 6/5) (/.f64 3 (.f64 x x)))
(+.f64 (fma.f64 (.f64 x x) 1/175 6/5) (/.f64 -3 (.f64 x x)))
(+.f64 6/5 (fma.f64 x (*.f64 x 1/175) (/.f64 (/.f64 -3 x) x)))
(+.f64 6/5 (fma.f64 x (.f64 x 1/175) (/.f64 -3 (.f64 x x))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (fma.f64 1/175 (.f64 x x) 6/5) (.f64 2/7875 (pow.f64 x 4))) (/.f64 3 (*.f64 x x)))
(+.f64 (fma.f64 (.f64 x x) 1/175 (fma.f64 2/7875 (pow.f64 x 4) 6/5)) (/.f64 -3 (.f64 x x)))
(+.f64 (fma.f64 x (*.f64 x 1/175) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 (/.f64 -3 x) x)))
(+.f64 (fma.f64 x (.f64 x 1/175) 6/5) (fma.f64 2/7875 (pow.f64 x 4) (/.f64 -3 (.f64 x x))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.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 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (+.f64 1 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (*.f64 x x) (pow.f64 (cos.f64 x) 2))))
(+.f64 1 (+.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 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x)))))
(+.f64 1 (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (.f64 x x) (pow.f64 (cos.f64 x) 2))) (+.f64 1 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))))))
(+.f64 1 (+.f64 (+.f64 (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3)))) (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 x (.f64 x (pow.f64 (cos.f64 x) 2))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (/.f64 (sin.f64 x) x) x) (/.f64 (sin.f64 x) (*.f64 x (cos.f64 x))))))
(+.f64 1 (+.f64 (/.f64 (pow.f64 (/.f64 (sin.f64 x) (cos.f64 x)) 3) (pow.f64 x 3)) (fma.f64 (/.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (/.f64 (sin.f64 x) (.f64 x x)) (/.f64 (sin.f64 x) (.f64 x (cos.f64 x))))))
(-.f64 0 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x))))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) x))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 x (neg.f64 (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(/.f64 (sqrt.f64 x) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) x))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(/.f64 x (+.f64 x (tan.f64 x)))
(/.f64 (/.f64 x 1) (+.f64 x (tan.f64 x)))
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 1)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 2)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 3)
(/.f64 x (+.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3) 1/3)
(/.f64 x (+.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (+.f64 x (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 x) (tan.f64 x)))
(/.f64 x (-.f64 (neg.f64 (tan.f64 x)) x))
(sqrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 2))
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (exp.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x))))))
(/.f64 x (+.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (+.f64 x (tan.f64 x))) 3))
(/.f64 x (+.f64 x (tan.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))
(exp.f64 (*.f64 (log.f64 (/.f64 x (+.f64 x (tan.f64 x)))) 1))
(/.f64 x (+.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (+.f64 x (tan.f64 x)))))
(/.f64 x (+.f64 x (tan.f64 x)))

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	0.2b	(*.f64 9/40 x)
	0.2b	(.f64 (.f64 9/40 x) x)
✓	19.3b	(+.f64 (.f64 (.f64 9/40 x) x) (*.f64 -27/2800 (pow.f64 x 4)))

Compiler

Compiled 46 to 34 computations (26.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite79.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1004×	`*-commutative`
794×	`unswap-sqr`
632×	`swap-sqr`
434×	`distribute-lft-in`
428×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	241	27
2	2944	27

Stop Event

1×	node limit

Counts

1 → 89

Calls

Call 1

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

Outputs

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

simplify106.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1480×	`distribute-lft-in`
1404×	`associate-/r*`
1066×	`associate-*r/`
846×	`associate-*l/`
412×	`associate-r`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	282	7075
1	775	6525
2	3171	6525

Stop Event

1×	node limit

Counts

101 → 160

Calls

Call 1

Inputs
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(-.f64 (exp.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (.f64 9/40 (*.f64 x x))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 729/7840000)))
(-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (.f64 9/40 (*.f64 x x))))) 1)
(.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(.f64 1 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (.f64 x x) (+.f64 9/40 (.f64 -27/2800 (.f64 x x))))
(.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40))
(.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))
(.f64 (/.f64 1 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)))
(.f64 (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000))) (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 19683/21952000000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (-.f64 (.f64 6561/2560000 (pow.f64 x 8)) (pow.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 9/40 (.f64 x x)) (.f64 (pow.f64 x 4) 27/2800))) 2))) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (.f64 (pow.f64 x 4) 27/2800) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 (*.f64 x x) -9/40)))))
(.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (+.f64 (pow.f64 (.f64 (pow.f64 x 4) 81/1600) 3) (pow.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 9/40 (.f64 x x)) (.f64 (pow.f64 x 4) 27/2800))) 3))) (+.f64 (.f64 6561/2560000 (pow.f64 x 8)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 9/40 (.f64 x x)) (.f64 (pow.f64 x 4) 27/2800))) (-.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 9/40 (.f64 x x)) (.f64 (pow.f64 x 4) 27/2800))) (.f64 (pow.f64 x 4) 81/1600)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 2))))
(.f64 (.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))) (.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 3/2) (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))) 3/2))
(.f64 (pow.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/6))
(/.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) (/.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))))
(/.f64 1 (/.f64 1 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (*.f64 x x)) -27/2800)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))) (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))))
(/.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000))) (/.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))) (/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)))) (/.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) -729/7840000)))))
(/.f64 (-.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (*.f64 19683/21952000000 (pow.f64 (pow.f64 x 4) 3)))))
(/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 -81/1600 (pow.f64 x 4))) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 (*.f64 x x) -9/40)))
(/.f64 (-.f64 (.f64 6561/2560000 (pow.f64 x 8)) (.f64 531441/61465600000000 (pow.f64 x 16))) (.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) 3)) (.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))) (-.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000)) (.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))))
(/.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 81/1600) 3) (pow.f64 (.f64 (pow.f64 x 8) 729/7840000) 3)) (.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)) (+.f64 (+.f64 (.f64 6561/2560000 (pow.f64 x 8)) (.f64 531441/61465600000000 (pow.f64 x 16))) (.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) 729/7840000)))))
(/.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000))) (neg.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (*.f64 x x)) -27/2800))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))
(/.f64 (.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)))) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 -81/1600 (pow.f64 x 4))) 1) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 (.f64 x x) -9/40)))
(/.f64 (.f64 (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000))) 1) (neg.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (.f64 (neg.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) 1) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))
(/.f64 (.f64 (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))
(/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000))) (pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2)) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (.f64 (-.f64 (.f64 6561/2560000 (pow.f64 x 8)) (.f64 531441/61465600000000 (pow.f64 x 16))) (/.f64 1 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)))) (+.f64 (.f64 (pow.f64 x 4) 81/1600) (*.f64 (pow.f64 x 8) 729/7840000)))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (pow.f64 x 4) 81/1600) 3) (pow.f64 (.f64 (pow.f64 x 8) 729/7840000) 3)) (/.f64 1 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)))) (+.f64 (+.f64 (.f64 6561/2560000 (pow.f64 x 8)) (.f64 531441/61465600000000 (pow.f64 x 16))) (.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) 729/7840000))))
(/.f64 (.f64 (-.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))))) (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (*.f64 19683/21952000000 (pow.f64 (pow.f64 x 4) 3))))
(/.f64 (.f64 (+.f64 (pow.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) 3) (pow.f64 (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))))) (-.f64 (+.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 6) (.f64 (pow.f64 (pow.f64 x 4) 6) 387420489/481890304000000000000)) (.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) 1) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))))) (cbrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (+.f64 (.f64 x (sqrt.f64 9/40)) (.f64 (sqrt.f64 -27/2800) (.f64 x x)))) (-.f64 (.f64 x (sqrt.f64 9/40)) (.f64 (sqrt.f64 -27/2800) (.f64 x x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) 1) (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (*.f64 x x)) -27/2800)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800)))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (.f64 x x)) -27/2800))))))
(pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 1)
(pow.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 3)
(pow.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (neg.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (*.f64 x x)) -27/2800)))))))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 2))
(log.f64 (exp.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(exp.f64 (log.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 x (.f64 9/40 x) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (.f64 9/40 x) x (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(fma.f64 (pow.f64 x 4) -27/2800 (.f64 9/40 (.f64 x x)))
(fma.f64 1 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 1 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (*.f64 x x)))
(fma.f64 (.f64 x (sqrt.f64 9/40)) (.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (.f64 (sqrt.f64 -27/2800) (.f64 x x)) (.f64 (sqrt.f64 -27/2800) (.f64 x x)) (.f64 9/40 (.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (.f64 9/40 (.f64 x x))) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (.f64 9/40 (.f64 x x)))

Outputs
(*.f64 9/40 (pow.f64 x 2))
(.f64 9/40 (.f64 x x))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(-.f64 (exp.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))) (+.f64 1 (*.f64 (pow.f64 x 4) 27/2800)))
(fma.f64 -27/2800 (pow.f64 x 4) (expm1.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (.f64 9/40 (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) (+.f64 1 (.f64 x (*.f64 x -9/40))))
(fma.f64 9/40 (.f64 x x) (expm1.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))))
(-.f64 (/.f64 (.f64 (pow.f64 x 4) 81/1600) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 729/7840000)))
(-.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)) 81/1600)) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)) 729/7840000)))
(-.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))) 81/1600) (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)) 729/7840000)))
(+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))) 81/1600) (/.f64 (.f64 (pow.f64 x 8) -729/7840000) (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))))
(-.f64 (+.f64 (.f64 9/40 (.f64 x x)) (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) (+.f64 1 (.f64 x (*.f64 x -9/40))))
(fma.f64 9/40 (.f64 x x) (expm1.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (.f64 9/40 (*.f64 x x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))) (+.f64 1 (*.f64 (pow.f64 x 4) 27/2800)))
(fma.f64 -27/2800 (pow.f64 x 4) (expm1.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))))
(.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(.f64 1 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 9/40 (.f64 x x) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
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(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 x x) -243/112000)) (.f64 (pow.f64 x 8) 729/7840000)))
(pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(pow.f64 (sqrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 2)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(pow.f64 (cbrt.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))) 3)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(pow.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 81/1600) (.f64 (pow.f64 x 8) -729/7840000)) (neg.f64 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800)))))
(.f64 (fma.f64 (pow.f64 x 4) 81/1600 (.f64 (pow.f64 x 8) -729/7840000)) (/.f64 1 (fma.f64 9/40 (.f64 x x) (.f64 (pow.f64 x 4) 27/2800))))
(/.f64 (fma.f64 (pow.f64 x 4) 81/1600 (.f64 (pow.f64 x 8) -729/7840000)) (fma.f64 9/40 (.f64 x x) (*.f64 (pow.f64 x 4) 27/2800)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) (neg.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 9/40 (*.f64 x x)) -27/2800)))))))
(/.f64 (.f64 (+.f64 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6) (.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000)) 1) (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 -27/2800 (.f64 9/40 (*.f64 x x)))))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) -19683/21952000000 (pow.f64 (.f64 x (sqrt.f64 9/40)) 6)) (fma.f64 (pow.f64 x 4) (-.f64 81/1600 (.f64 (.f64 x x) -243/112000)) (.f64 (pow.f64 x 8) 729/7840000)))
(sqrt.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x))) 2))
(fabs.f64 (.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))
(fabs.f64 (.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(log.f64 (exp.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(cbrt.f64 (pow.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4))) 3))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(expm1.f64 (log1p.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(exp.f64 (log.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(log1p.f64 (expm1.f64 (fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 9/40 (.f64 x x) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 x (.f64 9/40 x) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 (.f64 9/40 x) x (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 (pow.f64 x 4) -27/2800 (.f64 9/40 (.f64 x x)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 1 (.f64 9/40 (.f64 x x)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 1 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (*.f64 x x)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 9/40 (.f64 x x)))
(.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(fma.f64 (.f64 x (sqrt.f64 9/40)) (.f64 x (sqrt.f64 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (.f64 (sqrt.f64 -27/2800) (.f64 x x)) (.f64 (sqrt.f64 -27/2800) (.f64 x x)) (.f64 9/40 (.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 -27/2800)) (.f64 (.f64 x x) (sqrt.f64 -27/2800)) (.f64 9/40 (.f64 x x)))
(+.f64 (.f64 9/40 (.f64 x x)) (.f64 (pow.f64 x 4) (.f64 (sqrt.f64 -27/2800) (sqrt.f64 -27/2800))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 81/1600)) (cbrt.f64 (.f64 9/40 (.f64 x x))) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (.f64 9/40 (.f64 x x)))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 27/112000 (pow.f64 x 6))
✓	0.1b	(*.f64 9/40 (pow.f64 x 2))
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
✓	19.7b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 80 to 65 computations (18.8% saved)

series2.0ms (0%)

Counts

3 → 3

Calls

9 calls:

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

rewrite108.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`unswap-sqr`
798×	`swap-sqr`
518×	`distribute-rgt-in`
476×	`distribute-lft-in`
400×	`associate-*r/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	53
1	346	53
2	3950	53

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) (-.f64 1 (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (*.f64 27/112000 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000)) 729/7840000)) (/.f64 (*.f64 729/12544000000 (pow.f64 x 12)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) (+.f64 -27/2800 (*.f64 (*.f64 x x) 27/112000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 4) (+.f64 (*.f64 (*.f64 x x) 27/112000) -27/2800))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (*.f64 -27/2800 (*.f64 x x)) (*.f64 27/112000 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x x) (+.f64 (*.f64 27/112000 (pow.f64 x 4)) (*.f64 -27/2800 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 12) -729/12544000000)) (/.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 x 12)) (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (/.f64 1 (+.f64 (*.f64 729/12544000000 (pow.f64 x 12)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 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(*.f64 27/112000 (pow.f64 x 6)) (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 x 12)) (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (-.f64 (*.f64 531441/61465600000000 (*.f64 (pow.f64 x 4) (pow.f64 x 12))) (*.f64 (*.f64 729/12544000000 (pow.f64 x 12)) (*.f64 (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) 27/2800)) (+.f64 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 (pow.f64 x 4) 27/2800)))))) (+.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 12) -729/12544000000)) (*.f64 -27/2800 (*.f64 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 x 12)) (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (+.f64 (pow.f64 (*.f64 (pow.f64 x 8) 729/7840000) 3) (pow.f64 (+.f64 (*.f64 729/12544000000 (pow.f64 x 12)) (*.f64 (*.f64 (*.f64 -27/2800 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1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 (pow.f64 x 8) 729/7840000) (*.f64 (pow.f64 x 12) -729/12544000000)) (neg.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (+.f64 (*.f64 -19683/21952000000 (pow.f64 x 12)) (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (neg.f64 (+.f64 (*.f64 729/12544000000 (pow.f64 x 12)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000)))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 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(*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 27/112000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 27/112000 (pow.f64 x 6)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sqrt.f64 27/112000) (pow.f64 x 3)) (*.f64 (sqrt.f64 27/112000) (pow.f64 x 3)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 (*.f64 x x) (sqrt.f64 -27/2800)) (*.f64 27/112000 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (pow.f64 x 4) (cbrt.f64 729/12544000000)) (*.f64 (*.f64 x x) (cbrt.f64 27/112000)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) (*.f64 27/112000 (pow.f64 x 6)))))))

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

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

simplify108.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1676×	`associate-/r*`
1558×	`associate-*r/`
1206×	`associate-*l/`
548×	`associate-r`
506×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	343	7302
1	950	7190
2	4133	7190

Stop Event

1×	node limit

Counts

122 → 191

Calls

Call 1

Inputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) (-.f64 1 (.f64 -27/2800 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (.f64 27/112000 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(-.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)) 729/7840000)) (/.f64 (.f64 729/12544000000 (pow.f64 x 12)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))) 1)
(-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4))))) 1)
(.f64 (pow.f64 x 4) (+.f64 -27/2800 (.f64 (*.f64 x x) 27/112000)))
(.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))
(.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))) 1)
(.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) (*.f64 27/112000 (pow.f64 x 4))))
(.f64 (.f64 x x) (+.f64 (.f64 27/112000 (pow.f64 x 4)) (.f64 -27/2800 (*.f64 x x))))
(.f64 1 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))
(.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (/.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))
(.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (/.f64 1 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))))
(.f64 (/.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))) (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)))
(.f64 (/.f64 1 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))) (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000))) (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 -19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3)))) (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 27/112000 (pow.f64 x 6)) (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))))
(.f64 (/.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (-.f64 (.f64 531441/61465600000000 (.f64 (pow.f64 x 4) (pow.f64 x 12))) (.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) (.f64 (pow.f64 x 4) 27/2800)) (+.f64 (.f64 27/112000 (pow.f64 x 6)) (.f64 (pow.f64 x 4) 27/2800)))))) (+.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (.f64 -27/2800 (.f64 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))))))
(.f64 (/.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (+.f64 (pow.f64 (.f64 (pow.f64 x 8) 729/7840000) 3) (pow.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (pow.f64 x 6)) -27/112000)) 3))) (+.f64 (.f64 531441/61465600000000 (.f64 (pow.f64 x 4) (pow.f64 x 12))) (.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (pow.f64 x 6)) -27/112000)) (-.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (pow.f64 x 6)) -27/112000)) (.f64 (pow.f64 x 8) 729/7840000)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))) (.f64 (cbrt.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4)))) 2))) (.f64 (sqrt.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) 2))))
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(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (*.f64 27/112000 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))) 1)
(pow.f64 (.f64 9/40 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 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 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))
(log.f64 (+.f64 1 (expm1.f64 (.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))))
(exp.f64 (.f64 (log.f64 (.f64 9/40 (*.f64 x x))) 1))
(log1p.f64 (expm1.f64 (.f64 9/40 (.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) 1)
(pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(pow.f64 (*.f64 (sqrt.f64 27/112000) (pow.f64 x 3)) 2)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 27/112000)) 3)
(pow.f64 (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3)) 1/3)
(sqrt.f64 (*.f64 729/12544000000 (pow.f64 x 12)))
(log.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6)))))
(cbrt.f64 (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3)))
(expm1.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 27/112000 (pow.f64 x 6))))
(exp.f64 (.f64 (log.f64 (.f64 27/112000 (pow.f64 x 6))) 1))
(log1p.f64 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6))))

Outputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 27/112000 (pow.f64 x 6))
(*.f64 27/112000 (pow.f64 x 6))
(-.f64 (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6)))) (-.f64 1 (.f64 -27/2800 (pow.f64 x 4))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) (-.f64 1 (.f64 27/112000 (pow.f64 x 6))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) 1) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 27/112000 (pow.f64 x 6) (expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))) 1)
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(-.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)) 729/7840000)) (/.f64 (.f64 729/12544000000 (pow.f64 x 12)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))
(-.f64 (.f64 (/.f64 (pow.f64 x 8) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))) 729/7840000) (/.f64 (.f64 729/12544000000 (pow.f64 x 12)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))
(fma.f64 (/.f64 (pow.f64 x 8) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))) 729/7840000 (/.f64 (.f64 (pow.f64 x 12) -729/12544000000) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))
(-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (exp.f64 (log1p.f64 (.f64 27/112000 (pow.f64 x 6))))) 1)
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(-.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) 1) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 27/112000 (pow.f64 x 6) (expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(.f64 (pow.f64 x 4) (+.f64 -27/2800 (.f64 (*.f64 x x) 27/112000)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))) 1)
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) (*.f64 27/112000 (pow.f64 x 4))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (.f64 x x) (+.f64 (.f64 27/112000 (pow.f64 x 4)) (.f64 -27/2800 (*.f64 x x))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 1 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4)))) (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4)))) (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) 2))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (/.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))
(/.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 12) -729/12544000000)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)))
(.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (/.f64 1 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 729/12544000000 (pow.f64 x 12) (.f64 -27/2800 (.f64 (pow.f64 x 4) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))))
(/.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 -27/2800 (.f64 (pow.f64 x 4) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))) (.f64 729/12544000000 (pow.f64 x 12))))
(/.f64 (fma.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3) (.f64 (pow.f64 x 12) -19683/21952000000)) (fma.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)) (.f64 729/12544000000 (pow.f64 x 12))))
(.f64 (/.f64 1 (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))) (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)))
(/.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 12) -729/12544000000)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)))
(.f64 (/.f64 1 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))) (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 729/12544000000 (pow.f64 x 12) (.f64 -27/2800 (.f64 (pow.f64 x 4) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))))
(/.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 -27/2800 (.f64 (pow.f64 x 4) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))) (.f64 729/12544000000 (pow.f64 x 12))))
(/.f64 (fma.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3) (.f64 (pow.f64 x 12) -19683/21952000000)) (fma.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)) (.f64 729/12544000000 (pow.f64 x 12))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000))) (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 -19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3)))) (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (.f64 27/112000 (pow.f64 x 6)) (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))))
(/.f64 (.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 12) -729/12544000000)) (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 27/112000 (.f64 (pow.f64 x 6) (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4))))))) (fma.f64 -19683/21952000000 (pow.f64 x 12) (.f64 (pow.f64 (pow.f64 x 6) 3) -19683/1404928000000000)))
(/.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 12) -729/12544000000)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -19683/1404928000000000 (.f64 (pow.f64 x 12) -19683/21952000000)) (fma.f64 27/112000 (.f64 (pow.f64 x 6) (.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))) (.f64 (pow.f64 x 8) 729/7840000))))
(/.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 12) -729/12544000000)) (/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) -19683/1404928000000000 (.f64 (pow.f64 x 12) -19683/21952000000)) (fma.f64 27/112000 (.f64 (pow.f64 x 6) (.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))) (.f64 (pow.f64 x 8) 729/7840000))))
(.f64 (/.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (-.f64 (.f64 531441/61465600000000 (.f64 (pow.f64 x 4) (pow.f64 x 12))) (.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (+.f64 (.f64 27/112000 (pow.f64 x 6)) (.f64 (pow.f64 x 4) 27/2800)) (+.f64 (.f64 27/112000 (pow.f64 x 6)) (.f64 (pow.f64 x 4) 27/2800)))))) (+.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (.f64 -27/2800 (.f64 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6))))))
(/.f64 (.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (+.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 12) -729/12544000000)) (.f64 -27/2800 (.f64 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6)))))) (-.f64 (.f64 531441/61465600000000 (.f64 (pow.f64 x 4) (pow.f64 x 12))) (.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 (pow.f64 x 4) 27/2800)) (fma.f64 27/112000 (pow.f64 x 6) (*.f64 (pow.f64 x 4) 27/2800))))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 531441/61465600000000 (.f64 (pow.f64 x 4) (pow.f64 x 12)) (.f64 -729/12544000000 (.f64 (pow.f64 x 12) (.f64 (fma.f64 (pow.f64 x 4) 27/2800 (.f64 27/112000 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 27/2800 (.f64 27/112000 (pow.f64 x 6)))))))) (fma.f64 -27/2800 (.f64 (pow.f64 x 4) (.f64 27/112000 (pow.f64 x 6))) (fma.f64 (pow.f64 x 8) 729/7840000 (*.f64 (pow.f64 x 12) -729/12544000000))))
(/.f64 (.f64 (fma.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3) (.f64 (pow.f64 x 12) -19683/21952000000)) (fma.f64 -27/2800 (.f64 (pow.f64 x 6) (.f64 (pow.f64 x 4) 27/112000)) (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 12) -729/12544000000)))) (fma.f64 531441/61465600000000 (.f64 (pow.f64 x 4) (pow.f64 x 12)) (.f64 (.f64 (pow.f64 x 12) -729/12544000000) (.f64 (fma.f64 (pow.f64 x 4) 27/2800 (.f64 27/112000 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) 27/2800 (*.f64 27/112000 (pow.f64 x 6)))))))
(.f64 (/.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (+.f64 (pow.f64 (.f64 (pow.f64 x 8) 729/7840000) 3) (pow.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (pow.f64 x 6)) -27/112000)) 3))) (+.f64 (.f64 531441/61465600000000 (.f64 (pow.f64 x 4) (pow.f64 x 12))) (.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (pow.f64 x 6)) -27/112000)) (-.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (pow.f64 x 6)) -27/112000)) (.f64 (pow.f64 x 8) 729/7840000)))))
(.f64 (/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (+.f64 (.f64 (pow.f64 (pow.f64 x 8) 3) 387420489/481890304000000000000) (pow.f64 (fma.f64 729/12544000000 (pow.f64 x 12) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 (pow.f64 x 6) -27/112000))) 3))) (fma.f64 531441/61465600000000 (.f64 (pow.f64 x 4) (pow.f64 x 12)) (.f64 (fma.f64 729/12544000000 (pow.f64 x 12) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 (pow.f64 x 6) -27/112000))) (-.f64 (fma.f64 729/12544000000 (pow.f64 x 12) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 (pow.f64 x 6) -27/112000))) (*.f64 (pow.f64 x 8) 729/7840000)))))
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(/.f64 (fma.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3) (.f64 (pow.f64 x 12) -19683/21952000000)) (fma.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)) (.f64 729/12544000000 (pow.f64 x 12))))
(/.f64 (/.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (.f64 (cbrt.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))) (cbrt.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))))) (cbrt.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 729/12544000000 (pow.f64 x 12) (.f64 -27/2800 (.f64 (pow.f64 x 4) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))))
(/.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 -27/2800 (.f64 (pow.f64 x 4) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))) (.f64 729/12544000000 (pow.f64 x 12))))
(/.f64 (fma.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3) (.f64 (pow.f64 x 12) -19683/21952000000)) (fma.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)) (.f64 729/12544000000 (pow.f64 x 12))))
(pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))) 1)
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(pow.f64 (sqrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) 2)
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(pow.f64 (cbrt.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))) 3)
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(pow.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))) 3) 1/3)
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 8) 729/7840000) (.f64 (pow.f64 x 12) -729/12544000000)) (neg.f64 (fma.f64 -27/2800 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -27/112000)))))
(/.f64 (fma.f64 (pow.f64 x 8) 729/7840000 (.f64 (pow.f64 x 12) -729/12544000000)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)))
(neg.f64 (/.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 x 12)) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (neg.f64 (+.f64 (.f64 729/12544000000 (pow.f64 x 12)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 x 12) (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 729/12544000000 (pow.f64 x 12) (.f64 -27/2800 (.f64 (pow.f64 x 4) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))))))
(/.f64 (fma.f64 (pow.f64 x 12) -19683/21952000000 (.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3))) (fma.f64 -27/2800 (.f64 (pow.f64 x 4) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000))) (.f64 729/12544000000 (pow.f64 x 12))))
(/.f64 (fma.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3) (.f64 (pow.f64 x 12) -19683/21952000000)) (fma.f64 (.f64 -27/2800 (pow.f64 x 4)) (fma.f64 -27/2800 (pow.f64 x 4) (.f64 (pow.f64 x 6) -27/112000)) (.f64 729/12544000000 (pow.f64 x 12))))
(sqrt.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))) 2))
(fabs.f64 (.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800)))
(fabs.f64 (.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800)))
(log.f64 (exp.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(cbrt.f64 (pow.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4))) 3))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(expm1.f64 (log1p.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(exp.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(exp.f64 (.f64 (log.f64 (fma.f64 27/112000 (pow.f64 x 6) (.f64 -27/2800 (pow.f64 x 4)))) 1))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(log1p.f64 (expm1.f64 (fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(fma.f64 -27/2800 (pow.f64 x 4) (*.f64 27/112000 (pow.f64 x 6)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(fma.f64 (pow.f64 x 4) -27/2800 (*.f64 27/112000 (pow.f64 x 6)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(fma.f64 (pow.f64 x 6) 27/112000 (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(fma.f64 1 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(fma.f64 1 (.f64 27/112000 (pow.f64 x 6)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 27/112000 (pow.f64 x 6) (*.f64 -27/2800 (pow.f64 x 4)))
(.f64 (pow.f64 x 4) (fma.f64 x (.f64 x 27/112000) -27/2800))
(.f64 (pow.f64 x 4) (fma.f64 27/112000 (.f64 x x) -27/2800))
(fma.f64 (.f64 (sqrt.f64 27/112000) (pow.f64 x 3)) (.f64 (sqrt.f64 27/112000) (pow.f64 x 3)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (pow.f64 (.f64 (sqrt.f64 27/112000) (pow.f64 x 3)) 2) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (pow.f64 (.f64 (sqrt.f64 27/112000) (pow.f64 x 3)) 2))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 -27/2800)) (.f64 (.f64 x x) (sqrt.f64 -27/2800)) (*.f64 27/112000 (pow.f64 x 6)))
(+.f64 (.f64 27/112000 (pow.f64 x 6)) (.f64 (pow.f64 x 4) (*.f64 (sqrt.f64 -27/2800) (sqrt.f64 -27/2800))))
(fma.f64 (.f64 (pow.f64 x 4) (cbrt.f64 729/12544000000)) (.f64 (.f64 x x) (cbrt.f64 27/112000)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (.f64 (pow.f64 x 4) (cbrt.f64 729/12544000000)) (.f64 x (.f64 x (cbrt.f64 27/112000))) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (*.f64 27/112000 (pow.f64 x 6)))
(-.f64 (exp.f64 (log1p.f64 (.f64 9/40 (.f64 x x)))) 1)
(.f64 (.f64 x x) 9/40)
(pow.f64 (.f64 9/40 (.f64 x x)) 1)
(.f64 (.f64 x x) 9/40)
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(pow.f64 (cbrt.f64 (.f64 9/40 (.f64 x x))) 3)
(.f64 (.f64 x x) 9/40)
(pow.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 3) 1/3)
(.f64 (.f64 x x) 9/40)
(sqrt.f64 (*.f64 (pow.f64 x 4) 81/1600))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 9/40))
(*.f64 9/40 (log.f64 (pow.f64 (exp.f64 x) x)))
(.f64 9/40 (.f64 x (log.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (.f64 9/40 (.f64 x x)))))
(.f64 (.f64 x x) 9/40)
(cbrt.f64 (pow.f64 (.f64 9/40 (.f64 x x)) 3))
(.f64 (.f64 x x) 9/40)
(expm1.f64 (log1p.f64 (.f64 9/40 (.f64 x x))))
(.f64 (.f64 x x) 9/40)
(exp.f64 (log.f64 (.f64 9/40 (.f64 x x))))
(.f64 (.f64 x x) 9/40)
(exp.f64 (.f64 (log.f64 (.f64 9/40 (*.f64 x x))) 1))
(.f64 (.f64 x x) 9/40)
(log1p.f64 (expm1.f64 (.f64 9/40 (.f64 x x))))
(.f64 (.f64 x x) 9/40)
(-.f64 (exp.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6)))) 1)
(*.f64 27/112000 (pow.f64 x 6))
(pow.f64 (*.f64 27/112000 (pow.f64 x 6)) 1)
(*.f64 27/112000 (pow.f64 x 6))
(pow.f64 (*.f64 (sqrt.f64 27/112000) (pow.f64 x 3)) 2)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 27/112000)) 3)
(*.f64 27/112000 (pow.f64 x 6))
(pow.f64 (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3)) 1/3)
(cbrt.f64 (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3)))
(sqrt.f64 (*.f64 729/12544000000 (pow.f64 x 12)))
(log.f64 (pow.f64 (exp.f64 27/112000) (pow.f64 x 6)))
(*.f64 27/112000 (pow.f64 x 6))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6)))))
(*.f64 27/112000 (pow.f64 x 6))
(cbrt.f64 (*.f64 19683/1404928000000000 (pow.f64 (pow.f64 x 6) 3)))
(expm1.f64 (log1p.f64 (*.f64 27/112000 (pow.f64 x 6))))
(*.f64 27/112000 (pow.f64 x 6))
(exp.f64 (log.f64 (*.f64 27/112000 (pow.f64 x 6))))
(*.f64 27/112000 (pow.f64 x 6))
(exp.f64 (.f64 (log.f64 (.f64 27/112000 (pow.f64 x 6))) 1))
(*.f64 27/112000 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (*.f64 27/112000 (pow.f64 x 6))))
(*.f64 27/112000 (pow.f64 x 6))

eval628.0ms (3.4%)

Compiler: Compiled 38039 to 21167 computations (44.4% saved)

prune374.0ms (2%)

Pruning

14 alts after pruning (8 fresh and 6 done)

	Pruned	Kept	Total
New	1389	3	1392
Fresh	2	5	7
Picked	1	0	1
Done	1	6	7
Total	1393	14	1407

Error

0.0b

Counts

1407 → 14

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
▶	30.5b	(/.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x))))
✓	30.4b	(/.f64 (neg.f64 x) (-.f64 (tan.f64 x) x))
✓	29.0b	(/.f64 1 (/.f64 (-.f64 (tan.f64 x) x) (-.f64 (sin.f64 x) x)))
▶	29.0b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
▶	33.9b	(-.f64 (+.f64 (.f64 (.f64 x x) 9/40) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	34.3b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (pow.f64 x 4)))) 1) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
▶	34.3b	(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40)) -1/2)
✓	33.7b	(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
	29.0b	(.f64 (/.f64 1 (-.f64 (.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x))) (*.f64 (/.f64 x (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))) (+.f64 (/.f64 (tan.f64 x) (-.f64 (sin.f64 x) x)) (/.f64 x (-.f64 (sin.f64 x) x))))
✓	29.0b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
✓	30.5b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (neg.f64 x))
	30.1b	1
	34.3b	-1/2

Compiler

Compiled 328 to 194 computations (40.9% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 x (-.f64 (tan.f64 x) x))
✓	0.1b	(/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x))
	1.7b	(-.f64 (tan.f64 x) x)
✓	1.7b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))

Compiler

Compiled 37 to 7 computations (81.1% saved)

series3.0ms (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	@	-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	@	0	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
0.0ms	x	@	-inf	(/.f64 x (-.f64 (tan.f64 x) x))

rewrite144.0ms (0.8%)

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

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

simplify164.0ms (0.9%)

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

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 -27/2800 (.f64 x x)) 9/40)
✓	0.1b	(.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40))
✓	0.2b	(.f64 -27/2800 (.f64 x x))

Compiler

Compiled 44 to 23 computations (47.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite90.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`*-commutative`
762×	`unswap-sqr`
632×	`associate-*r/`
588×	`swap-sqr`
440×	`associate-*l/`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	204	55
2	2653	55

Stop Event

1×	node limit

Counts

3 → 154

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x x) (/.f64 1 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600) (/.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (fma.f64 -27/2800 (*.f64 x x) -9/40))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x 9/40)) 3)) (-.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 81/1600 (*.f64 -729/7840000 (pow.f64 x 4)))) (+.f64 9/40 (*.f64 (*.f64 x x) 27/2800)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 (neg.f64 (*.f64 (pow.f64 x 4) 729/7840000)) 81/1600)) (+.f64 (*.f64 (*.f64 x x) 27/2800) 9/40))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 -729/64000 (neg.f64 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (neg.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (*.f64 x x) (+.f64 729/64000 (*.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (*.f64 (*.f64 x x) 243/112000))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600))) (*.f64 (*.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (*.f64 x (*.f64 x 9/40)) 3))) (-.f64 (+.f64 (*.f64 729/7840000 (pow.f64 x 8)) (*.f64 (pow.f64 x 4) 81/1600)) (*.f64 (*.f64 -27/2800 (pow.f64 x 4)) (*.f64 x (*.f64 x 9/40)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (sqrt.f64 (+.f64 (*.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (*.f64 x x) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))) (sqrt.f64 (+.f64 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(*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -27/2800 (*.f64 x x) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) -27/2800 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 -27/2800 (*.f64 x x)) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -27/2800)) (*.f64 x (sqrt.f64 -27/2800)) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 4) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (*.f64 x x))) 9/40)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -27/2800 x) x 9/40)))))

simplify112.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1598×	`associate-*r/`
1224×	`associate-*l/`
1038×	`associate-/r/`
658×	`associate-r`
602×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	8312
1	1157	7608
2	4821	7602

Stop Event

1×	node limit

Counts

190 → 247

Calls

Call 1

Inputs
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 -27/2800 (pow.f64 x 2))
(*.f64 9/40 (pow.f64 x 2))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
9/40
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 2))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(*.f64 -27/2800 (pow.f64 x 2))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(+.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x)))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x)))) (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (*.f64 x x)))) 1))
(pow.f64 (.f64 -27/2800 (.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)
(pow.f64 (cbrt.f64 (.f64 -27/2800 (.f64 x x))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -27/2800 (.f64 x x)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))
(expm1.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x))))
(exp.f64 (log.f64 (.f64 -27/2800 (.f64 x x))))
(log1p.f64 (expm1.f64 (.f64 -27/2800 (.f64 x x))))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 x (*.f64 x 9/40)))
(+.f64 (.f64 x (.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) -1)
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1)
(/.f64 (.f64 x x) (/.f64 1 (fma.f64 -27/2800 (.f64 x x) 9/40)))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) (*.f64 x x)))
(/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))) (*.f64 x x)))
(/.f64 (.f64 (.f64 x x) (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000))) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (fma.f64 -27/2800 (.f64 x x) -9/40))
(/.f64 (-.f64 (.f64 729/7840000 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (+.f64 (pow.f64 (.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x 9/40)) 3)) (-.f64 (+.f64 (.f64 729/7840000 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 x (*.f64 x 9/40)))))
(/.f64 (.f64 x (.f64 x (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (.f64 x x) -9/40))
(/.f64 (.f64 x (.f64 x (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))
(/.f64 (.f64 (.f64 x x) (+.f64 81/1600 (.f64 -729/7840000 (pow.f64 x 4)))) (+.f64 9/40 (.f64 (*.f64 x x) 27/2800)))
(/.f64 (.f64 (.f64 x x) (+.f64 (neg.f64 (.f64 (pow.f64 x 4) 729/7840000)) 81/1600)) (+.f64 (.f64 (*.f64 x x) 27/2800) 9/40))
(/.f64 (.f64 (.f64 x x) (+.f64 -729/64000 (neg.f64 (.f64 (pow.f64 x 6) -19683/21952000000)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000)))))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (*.f64 x x) 243/112000))))
(/.f64 (.f64 1 (-.f64 (.f64 729/7840000 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 81/1600))) (.f64 (.f64 x x) (fma.f64 -27/2800 (.f64 x x) -9/40)))
(/.f64 (.f64 1 (+.f64 (pow.f64 (.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x 9/40)) 3))) (-.f64 (+.f64 (.f64 729/7840000 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 x (.f64 x 9/40)))))
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(/.f64 (.f64 (+.f64 387420489/262144000000000 (pow.f64 (.f64 (pow.f64 x 6) -19683/21952000000) 3)) (/.f64 1 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))) (+.f64 (pow.f64 (.f64 (pow.f64 x 6) -19683/21952000000) 2) (-.f64 531441/4096000000 (.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)))))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600) 1) (fma.f64 -27/2800 (.f64 x x) -9/40))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600) (sqrt.f64 (fma.f64 -27/2800 (.f64 x x) -9/40))) (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600) (.f64 (cbrt.f64 (fma.f64 -27/2800 (.f64 x x) -9/40)) (cbrt.f64 (fma.f64 -27/2800 (.f64 x x) -9/40)))) (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) 1) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))
(/.f64 (/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (*.f64 x x) 243/112000)))))
(/.f64 (/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (*.f64 x x) 243/112000)))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40))) (exp.f64 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40))) 1))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) 729/7840000)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) 729/7840000))) (.f64 (/.f64 81/1600 (fma.f64 -27/2800 (.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (.f64 x x) -9/40)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) 729/7840000)) (/.f64 81/1600 (fma.f64 -27/2800 (.f64 x x) -9/40))))
(pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 1)
(pow.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)
(pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 3)
(pow.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) 1/3)
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (.f64 (*.f64 x x) 27/2800) 9/40)))
(neg.f64 (/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))))
(sqrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 2))
(log.f64 (exp.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))))
(cbrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3))
(expm1.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(exp.f64 (log.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(log1p.f64 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 x x) -27/2800 9/40)
(fma.f64 1 (.f64 -27/2800 (.f64 x x)) 9/40)
(fma.f64 (.f64 x (sqrt.f64 -27/2800)) (.f64 x (sqrt.f64 -27/2800)) 9/40)
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (*.f64 x x))) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)

Outputs
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(*.f64 9/40 (pow.f64 x 2))
(.f64 x (.f64 x 9/40))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 9/40 (pow.f64 x 2)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 9/40 (pow.f64 x 2)) (.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
9/40
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(*.f64 -27/2800 (pow.f64 x 2))
(.f64 -27/2800 (.f64 x x))
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 9/40 (*.f64 -27/2800 (pow.f64 x 2)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(+.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x)))) -1)
(.f64 -27/2800 (.f64 x x))
(-.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x)))) 1)
(.f64 -27/2800 (.f64 x x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x)))) (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x))))) 1) (+.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (*.f64 x x)))) 1))
(/.f64 (.f64 (+.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x)))) 1) (.f64 -27/2800 (.f64 x x))) (+.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (*.f64 x x)))) 1))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (.f64 -27/2800 (.f64 x x))))) (+.f64 (exp.f64 (log1p.f64 (.f64 -27/2800 (*.f64 x x)))) 1))
(pow.f64 (.f64 -27/2800 (.f64 x x)) 1)
(.f64 -27/2800 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2)
(pow.f64 (cbrt.f64 (.f64 -27/2800 (.f64 x x))) 3)
(.f64 -27/2800 (.f64 x x))
(pow.f64 (*.f64 (pow.f64 x 6) -19683/21952000000) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))
(sqrt.f64 (*.f64 (pow.f64 x 4) 729/7840000))
(log.f64 (pow.f64 (exp.f64 -27/2800) (*.f64 x x)))
(.f64 -27/2800 (.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (.f64 -27/2800 (.f64 x x)))))
(.f64 -27/2800 (.f64 x x))
(cbrt.f64 (*.f64 (pow.f64 x 6) -19683/21952000000))
(expm1.f64 (log1p.f64 (.f64 -27/2800 (.f64 x x))))
(.f64 -27/2800 (.f64 x x))
(exp.f64 (log.f64 (.f64 -27/2800 (.f64 x x))))
(.f64 -27/2800 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 -27/2800 (.f64 x x))))
(.f64 -27/2800 (.f64 x x))
(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 x (*.f64 x 9/40)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (.f64 x (.f64 x 9/40)) (*.f64 -27/2800 (pow.f64 x 4)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(+.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) -1)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(-.f64 (exp.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 -27/2800 (*.f64 x x) 9/40))))) 1)
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(/.f64 (.f64 x x) (/.f64 1 (fma.f64 -27/2800 (.f64 x x) 9/40)))
(fma.f64 -27/2800 (pow.f64 x 4) (.f64 x (.f64 x 9/40)))
(.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) 9/40))
(/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (.f64 x x) -9/40)) (*.f64 x x))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) x)) x)
(/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) (/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))) (*.f64 x x)))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (.f64 x (.f64 x 243/112000)))) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600))))
(/.f64 (.f64 (.f64 x x) (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000))) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (.f64 x (.f64 x 243/112000)))) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600)) (fma.f64 -27/2800 (.f64 x x) -9/40))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (.f64 x x) -9/40)) (*.f64 x x))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) x)) x)
(/.f64 (-.f64 (.f64 729/7840000 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 x x) (fma.f64 -27/2800 (*.f64 x x) -9/40)))
(/.f64 (fma.f64 729/7840000 (pow.f64 x 8) (.f64 (pow.f64 x 4) -81/1600)) (.f64 x (.f64 x (fma.f64 -27/2800 (.f64 x x) -9/40))))
(/.f64 (+.f64 (pow.f64 (.f64 -27/2800 (pow.f64 x 4)) 3) (pow.f64 (.f64 x (.f64 x 9/40)) 3)) (-.f64 (+.f64 (.f64 729/7840000 (pow.f64 x 8)) (.f64 (pow.f64 x 4) 81/1600)) (.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 x (*.f64 x 9/40)))))
(/.f64 (+.f64 (.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3)) (pow.f64 (.f64 x (.f64 x 9/40)) 3)) (-.f64 (fma.f64 729/7840000 (pow.f64 x 8) (.f64 (pow.f64 x 4) 81/1600)) (.f64 -27/2800 (.f64 (pow.f64 x 4) (.f64 x (.f64 x 9/40))))))
(/.f64 (fma.f64 -19683/21952000000 (pow.f64 (pow.f64 x 4) 3) (.f64 (pow.f64 x 6) 729/64000)) (fma.f64 729/7840000 (pow.f64 x 8) (fma.f64 (pow.f64 x 4) 81/1600 (.f64 27/2800 (.f64 (.f64 (pow.f64 x 4) (*.f64 x 9/40)) x)))))
(/.f64 (.f64 x (.f64 x (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (.f64 x x) -9/40))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (.f64 x x) -9/40)) (*.f64 x x))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) x)) x)
(/.f64 (.f64 x (.f64 x (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)))) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))
(.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (.f64 x (.f64 x 243/112000)))) (*.f64 x x))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600))))
(/.f64 (.f64 (.f64 x x) (+.f64 81/1600 (.f64 -729/7840000 (pow.f64 x 4)))) (+.f64 9/40 (.f64 (*.f64 x x) 27/2800)))
(/.f64 (+.f64 81/1600 (.f64 (pow.f64 x 4) -729/7840000)) (/.f64 (fma.f64 (.f64 x x) 27/2800 9/40) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) -729/7840000 81/1600) (fma.f64 x (.f64 x 27/2800) 9/40)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (+.f64 (neg.f64 (.f64 (pow.f64 x 4) 729/7840000)) 81/1600)) (+.f64 (.f64 (*.f64 x x) 27/2800) 9/40))
(/.f64 (+.f64 81/1600 (.f64 (pow.f64 x 4) -729/7840000)) (/.f64 (fma.f64 (.f64 x x) 27/2800 9/40) (*.f64 x x)))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) -729/7840000 81/1600) (fma.f64 x (.f64 x 27/2800) 9/40)) (*.f64 x x))
(/.f64 (.f64 (.f64 x x) (+.f64 -729/64000 (neg.f64 (.f64 (pow.f64 x 6) -19683/21952000000)))) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000)))))
(/.f64 (.f64 x x) (/.f64 (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (.f64 x (.f64 x 243/112000)))) (+.f64 -729/64000 (.f64 (pow.f64 x 6) 19683/21952000000))))
(.f64 (/.f64 (fma.f64 (pow.f64 x 6) 19683/21952000000 -729/64000) (-.f64 (.f64 (pow.f64 x 4) -729/7840000) (fma.f64 x (.f64 x 243/112000) 81/1600))) (.f64 x x))
(/.f64 (.f64 1 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600))) (fma.f64 -27/2800 (*.f64 x x) -9/40))
(.f64 (/.f64 (fma.f64 (pow.f64 x 4) 729/7840000 -81/1600) (fma.f64 -27/2800 (.f64 x x) -9/40)) (*.f64 x x))
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(/.f64 (/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))) (sqrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (*.f64 x x) 243/112000)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) 1) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (.f64 x (.f64 x 243/112000))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600)))
(/.f64 (/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) (.f64 (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000)))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000)))))) (cbrt.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (*.f64 x x) 243/112000)))))
(/.f64 (.f64 (+.f64 (.f64 (pow.f64 x 6) -19683/21952000000) 729/64000) 1) (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (.f64 x (.f64 x 243/112000))))
(/.f64 (fma.f64 (pow.f64 x 6) -19683/21952000000 729/64000) (fma.f64 (pow.f64 x 4) 729/7840000 (fma.f64 x (*.f64 x 243/112000) 81/1600)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40))) (exp.f64 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40)))) 1) (+.f64 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40))) 1))
(/.f64 (.f64 (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40)))) (fma.f64 -27/2800 (.f64 x x) 9/40)) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40)))))
(/.f64 (expm1.f64 (.f64 2 (log1p.f64 (fma.f64 -27/2800 (.f64 x x) 9/40)))) (+.f64 1 (exp.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))))
(/.f64 (-.f64 (.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) 729/7840000)) (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) 729/7840000))) (.f64 (/.f64 81/1600 (fma.f64 -27/2800 (.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (.f64 x x) -9/40)))) (+.f64 (/.f64 (pow.f64 x 4) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) 729/7840000)) (/.f64 81/1600 (fma.f64 -27/2800 (.f64 x x) -9/40))))
(/.f64 (-.f64 (.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (.f64 x x) -9/40)) 729/7840000) (.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (.f64 x x) -9/40)) 729/7840000)) (.f64 (/.f64 81/1600 (fma.f64 -27/2800 (.f64 x x) -9/40)) (/.f64 81/1600 (fma.f64 -27/2800 (.f64 x x) -9/40)))) (+.f64 (.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (.f64 x x) -9/40)) 729/7840000) (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(/.f64 (-.f64 (.f64 (/.f64 (/.f64 (pow.f64 x 8) (/.f64 (fma.f64 -27/2800 (.f64 x x) -9/40) 729/7840000)) (fma.f64 -27/2800 (.f64 x x) -9/40)) 729/7840000) (/.f64 (/.f64 6561/2560000 (fma.f64 -27/2800 (.f64 x x) -9/40)) (fma.f64 -27/2800 (.f64 x x) -9/40))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (.f64 x x) -9/40)) 729/7840000 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(/.f64 (+.f64 (.f64 (/.f64 (/.f64 (pow.f64 x 8) (fma.f64 -27/2800 (.f64 x x) -9/40)) (fma.f64 -27/2800 (.f64 x x) -9/40)) 531441/61465600000000) (/.f64 (/.f64 -6561/2560000 (fma.f64 -27/2800 (.f64 x x) -9/40)) (fma.f64 -27/2800 (.f64 x x) -9/40))) (fma.f64 (/.f64 (pow.f64 x 4) (fma.f64 -27/2800 (.f64 x x) -9/40)) 729/7840000 (/.f64 81/1600 (fma.f64 -27/2800 (*.f64 x x) -9/40))))
(pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 1)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(pow.f64 (sqrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 2)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(pow.f64 (cbrt.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)) 3)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(pow.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3) 1/3)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(neg.f64 (/.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) -81/1600) (+.f64 (.f64 (*.f64 x x) 27/2800) 9/40)))
(/.f64 (+.f64 81/1600 (.f64 (pow.f64 x 4) -729/7840000)) (fma.f64 (.f64 x x) 27/2800 9/40))
(/.f64 (fma.f64 (pow.f64 x 4) -729/7840000 81/1600) (fma.f64 x (*.f64 x 27/2800) 9/40))
(neg.f64 (/.f64 (+.f64 729/64000 (.f64 (pow.f64 x 6) -19683/21952000000)) (neg.f64 (+.f64 (.f64 (pow.f64 x 4) 729/7840000) (+.f64 81/1600 (.f64 (.f64 x x) 243/112000))))))
(/.f64 (+.f64 -729/64000 (.f64 (pow.f64 x 6) 19683/21952000000)) (neg.f64 (+.f64 (fma.f64 (pow.f64 x 4) 729/7840000 81/1600) (.f64 x (*.f64 x 243/112000)))))
(/.f64 (fma.f64 (pow.f64 x 6) 19683/21952000000 -729/64000) (-.f64 (.f64 (pow.f64 x 4) -729/7840000) (fma.f64 x (.f64 x 243/112000) 81/1600)))
(sqrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 2))
(fabs.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))
(log.f64 (exp.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40))))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(cbrt.f64 (pow.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40) 3))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(expm1.f64 (log1p.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(exp.f64 (log.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(log1p.f64 (expm1.f64 (fma.f64 -27/2800 (*.f64 x x) 9/40)))
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (*.f64 x x) -27/2800 9/40)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 1 (.f64 -27/2800 (.f64 x x)) 9/40)
(fma.f64 -27/2800 (*.f64 x x) 9/40)
(fma.f64 (.f64 x (sqrt.f64 -27/2800)) (.f64 x (sqrt.f64 -27/2800)) 9/40)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2) 9/40)
(+.f64 9/40 (pow.f64 (*.f64 x (sqrt.f64 -27/2800)) 2))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 4) 729/7840000)) (cbrt.f64 (.f64 -27/2800 (*.f64 x x))) 9/40)
(fma.f64 (*.f64 -27/2800 x) x 9/40)
(fma.f64 -27/2800 (*.f64 x x) 9/40)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(/.f64 1 (-.f64 (tan.f64 x) x))
✓	0.0b	(/.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x))))
✓	0.1b	(/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x)))
	1.7b	(-.f64 (tan.f64 x) x)

Compiler

Compiled 36 to 16 computations (55.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite81.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1596×	`associate-/r*`
1346×	`associate-/l*`
1042×	`associate-/r/`
926×	`*-commutative`
584×	`associate-/l/`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	32
1	249	28
2	3302	28

Stop Event

1×	node limit

Counts

2 → 201

Calls

Call 1

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

Outputs

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

simplify121.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1206×	`associate-+l-`
860×	`associate-+r-`
648×	`associate-r`
558×	`associate-l`
516×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	475	8855
1	1334	8071
2	6562	8047

Stop Event

1×	node limit

Counts

225 → 367

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 -3 (pow.f64 x 2))
(-.f64 6/5 (*.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) 6/5) (.f64 3 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 1/175 (pow.f64 x 2)) (+.f64 6/5 (.f64 2/7875 (pow.f64 x 4)))) (*.f64 3 (/.f64 1 (pow.f64 x 2))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
1
(+.f64 1 (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (/.f64 (sin.f64 x) (.f64 (cos.f64 x) x))))
(+.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 x 2))) (+.f64 1 (+.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 x 3))) (/.f64 (sin.f64 x) (*.f64 (cos.f64 x) x)))))
(+.f64 x (tan.f64 x))
(+.f64 x (+.f64 (tan.f64 x) (fma.f64 x 1 x)))
(+.f64 x (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 x (+.f64 (tan.f64 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (tan.f64 x) x)
(+.f64 (tan.f64 x) (+.f64 x (fma.f64 x 1 x)))
(+.f64 (tan.f64 x) (+.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (tan.f64 x) (+.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (+.f64 x (tan.f64 x)) (fma.f64 x 1 x))
(+.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (+.f64 x (tan.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x))
(+.f64 (+.f64 x (tan.f64 x)) (+.f64 (fma.f64 x 1 x) (fma.f64 x 1 x)))
(+.f64 (+.f64 x (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 x 1 x)))
(+.f64 (+.f64 x (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 x 1 x)))
(+.f64 (+.f64 x (tan.f64 x)) (+.f64 (fma.f64 x 1 x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (+.f64 x (tan.f64 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 x (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (+.f64 x (tan.f64 x)) (+.f64 (fma.f64 x 1 x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (+.f64 x (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (+.f64 x (tan.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x)))
(+.f64 (+.f64 x (tan.f64 x)) (*.f64 1 (fma.f64 x 1 x)))
(+.f64 (+.f64 x (tan.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (+.f64 x (tan.f64 x)) (.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (.f64 x x)) x)))
(+.f64 0 (+.f64 x (tan.f64 x)))
(+.f64 (fma.f64 x 1 x) (+.f64 x (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x) (+.f64 x (tan.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x) (+.f64 x (tan.f64 x)))
(+.f64 (-.f64 (tan.f64 x) 0) x)
(+.f64 (-.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(+.f64 (*.f64 -1 (neg.f64 (tan.f64 x))) x)
(-.f64 (tan.f64 x) x)
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 x 1 x)))
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (tan.f64 x) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(-.f64 0 (-.f64 x (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (tan.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 x 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (tan.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(-.f64 (exp.f64 (log1p.f64 (tan.f64 x))) (+.f64 1 x))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (/.f64 x (/.f64 (-.f64 x (tan.f64 x)) x)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (-.f64 (/.f64 x (/.f64 (-.f64 x (tan.f64 x)) x)) (fma.f64 x 1 x)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (-.f64 (/.f64 x (/.f64 (-.f64 x (tan.f64 x)) x)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 2) (+.f64 x (tan.f64 x))) (-.f64 (/.f64 x (/.f64 (-.f64 x (tan.f64 x)) x)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (/.f64 (pow.f64 x 3) (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (fma.f64 x 1 x)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 (/.f64 (pow.f64 (tan.f64 x) 3) (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (-.f64 (/.f64 (pow.f64 x 3) (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(-.f64 (+.f64 x (exp.f64 (log1p.f64 (tan.f64 x)))) 1)
(-.f64 (+.f64 (tan.f64 x) (exp.f64 (log1p.f64 x))) 1)
(-.f64 (-.f64 (tan.f64 x) 0) x)
(*.f64 1 (+.f64 x (tan.f64 x)))
(*.f64 1 (neg.f64 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (pow.f64 (+.f64 x (tan.f64 x)) 2))
(*.f64 (+.f64 x (tan.f64 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (/.f64 -1 (-.f64 x (tan.f64 x))))
(*.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 -1 (-.f64 x (tan.f64 x)))
(.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)) (/.f64 1 (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(*.f64 (-.f64 x (tan.f64 x)) -1)
(*.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 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2))) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) -1) (cbrt.f64 (-.f64 x (tan.f64 x))))
(*.f64 (pow.f64 (pow.f64 (+.f64 x (tan.f64 x)) -1/2) -1) (pow.f64 (pow.f64 (+.f64 x (tan.f64 x)) -1/2) -1))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2)) -1) (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (tan.f64 x)))) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (tan.f64 x)))) -1) (pow.f64 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2)) -1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) 1) (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) -1) (/.f64 -1 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) -1) (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (sqrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (+.f64 x (tan.f64 x)) -1/2))
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 -1 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (pow.f64 (+.f64 x (tan.f64 x)) 2)) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (+.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 (sqrt.f64 (+.f64 x (tan.f64 x))) (sqrt.f64 -1)) (sqrt.f64 (-.f64 x (tan.f64 x))))
(*.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2)))) (cbrt.f64 (/.f64 -1 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2) (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 x x) (*.f64 (tan.f64 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 (pow.f64 (tan.f64 x) 2) (pow.f64 (tan.f64 x) 2)) (-.f64 (.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 1 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2))) 1) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2))) -1) (cbrt.f64 (-.f64 x (tan.f64 x))))
(pow.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) -1)
(pow.f64 (+.f64 x (tan.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (tan.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 x (tan.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (tan.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (tan.f64 x))))
(exp.f64 (log.f64 (+.f64 x (tan.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 x (tan.f64 x))))
(fma.f64 1 (tan.f64 x) x)
(fma.f64 (sqrt.f64 (tan.f64 x)) (sqrt.f64 (tan.f64 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 (tan.f64 x)) 2) (cbrt.f64 (tan.f64 x)) x)
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) (.f64 (.f64 x (pow.f64 (+.f64 x (tan.f64 x)) -2)) (fma.f64 x 1 x)))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) (.f64 (.f64 x (pow.f64 (+.f64 x (tan.f64 x)) -2)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(+.f64 (/.f64 x (-.f64 x (tan.f64 x))) (.f64 (.f64 x (pow.f64 (+.f64 x (tan.f64 x)) -2)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)) x)))
(+.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2) (.f64 (.f64 x (pow.f64 (+.f64 x (tan.f64 x)) -2)) (tan.f64 x)))
(+.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 1)
(+.f64 (-.f64 0 (/.f64 0 (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) 0) (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))) 1)
(+.f64 (-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 0 (+.f64 x (tan.f64 x)))) (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (*.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) 0) (/.f64 x (-.f64 x (tan.f64 x))))
(+.f64 (.f64 (.f64 x (pow.f64 (+.f64 x (tan.f64 x)) -2)) (tan.f64 x)) (pow.f64 (/.f64 x (-.f64 x (tan.f64 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)))))
(+.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))) (pow.f64 (+.f64 x (tan.f64 x)) 2)) (.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (*.f64 x (tan.f64 x))))
(-.f64 0 (/.f64 x (-.f64 x (tan.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x))))) 1)
(-.f64 (/.f64 0 (+.f64 x (tan.f64 x))) (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 1 (/.f64 x (-.f64 x (tan.f64 x))))
(*.f64 x (/.f64 -1 (-.f64 x (tan.f64 x))))
(*.f64 x (/.f64 1 (-.f64 x (tan.f64 x))))
(*.f64 x (neg.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) x)
(.f64 (+.f64 x (tan.f64 x)) (.f64 x (pow.f64 (+.f64 x (tan.f64 x)) -2)))
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(*.f64 (/.f64 x (-.f64 x (tan.f64 x))) -1)
(*.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (pow.f64 (+.f64 x (tan.f64 x)) -1/2) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(.f64 (sqrt.f64 x) (.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (sqrt.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2))
(.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(.f64 (cbrt.f64 (/.f64 -1 (-.f64 x (tan.f64 x)))) (.f64 x (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2))))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (cbrt.f64 x)))
(.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2) (.f64 x (+.f64 x (tan.f64 x))))
(*.f64 -1 (/.f64 x (-.f64 x (tan.f64 x))))
(.f64 (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))) (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))))
(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
(.f64 (.f64 x (cbrt.f64 (pow.f64 (+.f64 x (tan.f64 x)) -2))) (cbrt.f64 (/.f64 -1 (-.f64 x (tan.f64 x)))))
(.f64 (.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (sqrt.f64 x)) (sqrt.f64 x))
(.f64 (.f64 (/.f64 -1 (-.f64 x (tan.f64 x))) (cbrt.f64 x)) (cbrt.f64 (*.f64 x x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (+.f64 x (tan.f64 x)) -1/2))
(*.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 -1 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 x (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(.f64 (.f64 x (pow.f64 (+.f64 x (tan.f64 x)) -2)) (+.f64 x (tan.f64 x)))
(.f64 (/.f64 x (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (+.f64 (.f64 x x) (*.f64 (tan.f64 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 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))) (sqrt.f64 x))
(*.f64 (/.f64 (sqrt.f64 x) (+.f64 x (tan.f64 x))) (/.f64 (sqrt.f64 x) 1))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))))
(.f64 (/.f64 (cbrt.f64 x) (+.f64 x (tan.f64 x))) (/.f64 (cbrt.f64 (.f64 x x)) 1))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (+.f64 x (tan.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (sqrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(*.f64 (/.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (/.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)))
(.f64 (/.f64 -1 (pow.f64 (+.f64 x (tan.f64 x)) 2)) (.f64 x (+.f64 x (tan.f64 x))))
(.f64 (/.f64 -1 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3))) (.f64 x (+.f64 (.f64 x x) (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) 1) (pow.f64 (+.f64 x (tan.f64 x)) -1/2))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) 1) (cbrt.f64 (/.f64 -1 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (+.f64 x (tan.f64 x))) (cbrt.f64 x))
(.f64 (/.f64 1 (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (+.f64 x (tan.f64 x)))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))) (-.f64 x (tan.f64 x)))
(.f64 (/.f64 x (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(.f64 (/.f64 x (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(.f64 (/.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) -1) (cbrt.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 3)
(pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) 1/3)
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) x) -1)
(neg.f64 (/.f64 x (-.f64 x (tan.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(log.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x))))))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 x (tan.f64 x)) 3)) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(exp.f64 (log.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 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)))
(fma.f64 2/15 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3)))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (*.f64 2/15 (pow.f64 x 5))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 2/15 (pow.f64 x 5) (*.f64 1/3 (pow.f64 x 3))))
(+.f64 (.f64 17/315 (pow.f64 x 7)) (+.f64 (.f64 1/3 (pow.f64 x 3)) (+.f64 (.f64 62/2835 (pow.f64 x 9)) (.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 62/2835 (pow.f64 x 9) (*.f64 2/15 (pow.f64 x 5)))))
(fma.f64 17/315 (pow.f64 x 7) (fma.f64 1/3 (pow.f64 x 3) (fma.f64 2/15 (pow.f64 x 5) (*.f64 62/2835 (pow.f64 x 9)))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(+.f64 (/.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1 x))
(+.f64 (neg.f64 x) (/.f64 (sin.f64 x) (cos.f64 x)))
(-.f64 (/.f64 (sin.f64 x) (cos.f64 x)) x)
(*.f64 -1 x)
(neg.f64 x)
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(*.f64 (-.f64 x (tan.f64 x)) (/.f64 x (neg.f64 (pow.f64 (+.f64 x (tan.f64 x)) 2))))
(.f64 (/.f64 x (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x)))))
(/.f64 (.f64 x (fma.f64 x x (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))))
(*.f64 (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (/.f64 x (-.f64 (neg.f64 (pow.f64 (tan.f64 x) 3)) (pow.f64 x 3))))
(.f64 (/.f64 x (neg.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (neg.f64 (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(.f64 (neg.f64 (fma.f64 x x (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))) (/.f64 x (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))))
(*.f64 (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2)) (neg.f64 (/.f64 x (-.f64 (neg.f64 (pow.f64 (tan.f64 x) 3)) (pow.f64 x 3)))))
(*.f64 (/.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x))) (sqrt.f64 x))
(/.f64 (neg.f64 (sqrt.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 x)))
(neg.f64 (/.f64 x (+.f64 x (tan.f64 x))))
(.f64 (/.f64 -1 (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (.f64 x x)))) (cbrt.f64 x))
(/.f64 (neg.f64 (cbrt.f64 x)) (/.f64 (+.f64 x (tan.f64 x)) (cbrt.f64 (*.f64 x x))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (+.f64 x (tan.f64 x))) (sqrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) (/.f64 x (.f64 (+.f64 x (tan.f64 x)) (sqrt.f64 (+.f64 x (tan.f64 x))))))
(/.f64 (*.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (sqrt.f64 (+.f64 x (tan.f64 x))) 3))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 x (.f64 (sqrt.f64 -1) (sqrt.f64 (+.f64 x (tan.f64 x))))) (sqrt.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 -1)) (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (sqrt.f64 (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 x (.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3))) (sqrt.f64 (+.f64 x (tan.f64 x))))) (sqrt.f64 (fma.f64 x x (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 x (sqrt.f64 (+.f64 x (tan.f64 x)))) (hypot.f64 (pow.f64 x 3/2) (pow.f64 (tan.f64 x) 3/2))) (sqrt.f64 (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 x (tan.f64 x))))
(.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) (/.f64 x (.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))))
(/.f64 (*.f64 x (cbrt.f64 (+.f64 x (tan.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 4))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) -1) (cbrt.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 x (.f64 -1 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))) (cbrt.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(*.f64 (/.f64 x (neg.f64 (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2))) (cbrt.f64 (/.f64 1 (-.f64 x (tan.f64 x)))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (tan.f64 x) 3) (pow.f64 x 3)))) (cbrt.f64 (+.f64 (.f64 x x) (*.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (fma.f64 x x (.f64 (tan.f64 x) (+.f64 x (tan.f64 x))))))
(*.f64 (/.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x (tan.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (tan.f64 x) 3)))) (cbrt.f64 (fma.f64 x (+.f64 x (tan.f64 x)) (pow.f64 (tan.f64 x) 2))))
(pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 1)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 2)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 x (-.f64 x (tan.f64 x)))) 3)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3) 1/3)
(/.f64 x (-.f64 x (tan.f64 x)))
(pow.f64 (/.f64 (-.f64 x (tan.f64 x)) x) -1)
(/.f64 x (-.f64 x (tan.f64 x)))
(neg.f64 (/.f64 x (-.f64 x (tan.f64 x))))
(/.f64 (neg.f64 x) (-.f64 x (tan.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 2))
(fabs.f64 (/.f64 x (-.f64 x (tan.f64 x))))
(log.f64 (exp.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x))))))
(/.f64 x (-.f64 x (tan.f64 x)))
(cbrt.f64 (pow.f64 (/.f64 x (-.f64 x (tan.f64 x))) 3))
(/.f64 x (-.f64 x (tan.f64 x)))
(cbrt.f64 (*.f64 (/.f64 1 (pow.f64 (+.f64 x (tan.f64 x)) 3)) (pow.f64 x 3)))
(cbrt.f64 (/.f64 (*.f64 1 (pow.f64 x 3)) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(cbrt.f64 (/.f64 (*.f64 1 (pow.f64 x 3)) (pow.f64 (+.f64 x (tan.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(exp.f64 (log.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 x (-.f64 x (tan.f64 x)))))
(/.f64 x (-.f64 x (tan.f64 x)))

localize28.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 27/112000 (pow.f64 x 6))
✓	0.1b	(.f64 (.f64 x x) 9/40)
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
	19.7b	(+.f64 (.f64 -27/2800 (pow.f64 x 4)) (.f64 27/112000 (pow.f64 x 6)))

Compiler

Compiled 79 to 57 computations (27.8% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`add-sqr-sqrt`
1056×	`*-un-lft-identity`
1004×	`pow1`
986×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	13
2	1407	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify39.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1650×	`distribute-rgt-in`
1626×	`distribute-lft-in`
1316×	`log-prod`
928×	`associate-r`
818×	`associate-+r+`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	299
1	92	299
2	361	299
3	2123	299

Stop Event

1×	node limit

Counts

23 → 13

Calls

Call 1

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

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 x (.f64 x 9/40))) 1)
(.f64 9/40 (.f64 x x))
(pow.f64 (.f64 x (.f64 x 9/40)) 1)
(.f64 9/40 (.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 9/40)) 2)
(.f64 9/40 (.f64 x x))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 9/40))) 3)
(.f64 9/40 (.f64 x x))
(pow.f64 (pow.f64 (.f64 x (.f64 x 9/40)) 3) 1/3)
(.f64 9/40 (.f64 x x))
(sqrt.f64 (*.f64 81/1600 (pow.f64 x 4)))
(.f64 9/40 (.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x 9/40)))
(.f64 9/40 (.f64 x x))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x 9/40)) 3))
(.f64 9/40 (.f64 x x))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 9/40))))
(.f64 9/40 (.f64 x x))
(exp.f64 (log.f64 (.f64 x (.f64 x 9/40))))
(.f64 9/40 (.f64 x x))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 9/40))))
(.f64 9/40 (.f64 x x))

localize43.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(*.f64 27/112000 (pow.f64 x 6))
	0.1b	(*.f64 9/40 (pow.f64 x 2))
	0.1b	(*.f64 -27/2800 (pow.f64 x 4))
✓	0.8b	(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)

Compiler

Compiled 115 to 97 computations (15.7% saved)

series83.0ms (0.4%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
77.0ms	x	@	0	(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)
6.0ms	x	@	inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)
0.0ms	x	@	-inf	(-.f64 (exp.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4)))) 1)

rewrite73.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1950×	`add-sqr-sqrt`
1920×	`*-un-lft-identity`
1804×	`add-cube-cbrt`
1790×	`add-cbrt-cube`
208×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	248	13
2	2573	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1144×	`associate--l+`
866×	`associate-+l-`
818×	`associate-+r-`
592×	`+-commutative`
498×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	122	1727
1	303	1521
2	942	1459
3	4021	1417

Stop Event

1×	node limit

Counts

51 → 64

Calls

Call 1

Inputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800))) 1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800)))) 1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800)))) 1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800)))) 1)
(-.f64 (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800))) 1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800)))) 1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800)))) 1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800)))) 1)
(+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) -1)
(+.f64 -1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -27/2800)
(.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)
(.f64 1 (.f64 -27/2800 (pow.f64 x 4)))
(.f64 (.f64 (sqrt.f64 -27/2800) (.f64 x x)) (.f64 (sqrt.f64 -27/2800) (*.f64 x x)))
(.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (cbrt.f64 (pow.f64 x 4)) -27/2800))
(.f64 (.f64 x x) (.f64 (.f64 x x) -27/2800))
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1) (/.f64 1 (+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 1)))
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1))))
(.f64 (.f64 -27/2800 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)))
(.f64 (.f64 -27/2800 (.f64 x x)) (.f64 x x))
(.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)) 1))
(/.f64 1 (/.f64 (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1) (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1)) (+.f64 (pow.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1) (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) -1))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 1)))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (-.f64 1 (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1)) (neg.f64 (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 1))))
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(pow.f64 (.f64 (sqrt.f64 -27/2800) (.f64 x x)) 2)
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)
(pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -27/2800))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(fma.f64 1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) -1)
(fma.f64 (sqrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) (sqrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) 2) (cbrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) -1)

Outputs
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(-.f64 (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800))) 1)
(expm1.f64 (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -27/2800)))
(fma.f64 (pow.f64 (/.f64 1 x) -4) -27/2800 -1)
(fma.f64 -27/2800 (pow.f64 x 4) -1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800)))) 1)
(+.f64 (/.f64 (*.f64 -2800/27 (exp.f64 (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -27/2800)))) (pow.f64 x 4)) (expm1.f64 (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -27/2800))))
(fma.f64 -2800/27 (/.f64 (*.f64 -27/2800 (pow.f64 (/.f64 1 x) -4)) (pow.f64 x 4)) (fma.f64 (pow.f64 (/.f64 1 x) -4) -27/2800 -1))
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 -2800/27 (*.f64 -27/2800 (/.f64 (pow.f64 x 4) (pow.f64 x 4))) -1))
(+.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (+.f64 1 (/.f64 -2800/27 (pow.f64 x 4)))) -1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800)))) 1)
(+.f64 (/.f64 (*.f64 -2800/27 (exp.f64 (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -27/2800)))) (pow.f64 x 4)) (expm1.f64 (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -27/2800))))
(fma.f64 -2800/27 (/.f64 (*.f64 -27/2800 (pow.f64 (/.f64 1 x) -4)) (pow.f64 x 4)) (fma.f64 (pow.f64 (/.f64 1 x) -4) -27/2800 -1))
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 -2800/27 (*.f64 -27/2800 (/.f64 (pow.f64 x 4) (pow.f64 x 4))) -1))
(+.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (+.f64 1 (/.f64 -2800/27 (pow.f64 x 4)))) -1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 1 x))) (log.f64 -27/2800)))) 1)
(+.f64 (/.f64 (*.f64 -2800/27 (exp.f64 (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -27/2800)))) (pow.f64 x 4)) (expm1.f64 (fma.f64 -4 (neg.f64 (log.f64 x)) (log.f64 -27/2800))))
(fma.f64 -2800/27 (/.f64 (*.f64 -27/2800 (pow.f64 (/.f64 1 x) -4)) (pow.f64 x 4)) (fma.f64 (pow.f64 (/.f64 1 x) -4) -27/2800 -1))
(fma.f64 -27/2800 (pow.f64 x 4) (fma.f64 -2800/27 (*.f64 -27/2800 (/.f64 (pow.f64 x 4) (pow.f64 x 4))) -1))
(+.f64 (.f64 (.f64 -27/2800 (pow.f64 x 4)) (+.f64 1 (/.f64 -2800/27 (pow.f64 x 4)))) -1)
(-.f64 (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800))) 1)
(expm1.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -27/2800)))
(fma.f64 (pow.f64 (/.f64 -1 x) -4) -27/2800 -1)
(fma.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4) -1)
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800)))) 1)
(+.f64 (*.f64 -2800/27 (/.f64 (exp.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -27/2800))) (pow.f64 x 4))) (expm1.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -27/2800))))
(fma.f64 -2800/27 (/.f64 (*.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4)) (pow.f64 x 4)) (fma.f64 (pow.f64 (/.f64 -1 x) -4) -27/2800 -1))
(fma.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4) (fma.f64 -2800/27 (/.f64 -27/2800 (/.f64 (pow.f64 x 4) (pow.f64 (/.f64 -1 x) -4))) -1))
(+.f64 -1 (.f64 (+.f64 (/.f64 -2800/27 (pow.f64 x 4)) 1) (.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4))))
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800)))) 1)
(+.f64 (*.f64 -2800/27 (/.f64 (exp.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -27/2800))) (pow.f64 x 4))) (expm1.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -27/2800))))
(fma.f64 -2800/27 (/.f64 (*.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4)) (pow.f64 x 4)) (fma.f64 (pow.f64 (/.f64 -1 x) -4) -27/2800 -1))
(fma.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4) (fma.f64 -2800/27 (/.f64 -27/2800 (/.f64 (pow.f64 x 4) (pow.f64 (/.f64 -1 x) -4))) -1))
(+.f64 -1 (.f64 (+.f64 (/.f64 -2800/27 (pow.f64 x 4)) 1) (.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4))))
(-.f64 (+.f64 (.f64 -2800/27 (/.f64 (exp.f64 (+.f64 (.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800))) (pow.f64 x 4))) (exp.f64 (+.f64 (*.f64 -4 (log.f64 (/.f64 -1 x))) (log.f64 -27/2800)))) 1)
(+.f64 (*.f64 -2800/27 (/.f64 (exp.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -27/2800))) (pow.f64 x 4))) (expm1.f64 (fma.f64 -4 (log.f64 (/.f64 -1 x)) (log.f64 -27/2800))))
(fma.f64 -2800/27 (/.f64 (*.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4)) (pow.f64 x 4)) (fma.f64 (pow.f64 (/.f64 -1 x) -4) -27/2800 -1))
(fma.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4) (fma.f64 -2800/27 (/.f64 -27/2800 (/.f64 (pow.f64 x 4) (pow.f64 (/.f64 -1 x) -4))) -1))
(+.f64 -1 (.f64 (+.f64 (/.f64 -2800/27 (pow.f64 x 4)) 1) (.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4))))
(+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) -1)
(*.f64 -27/2800 (pow.f64 x 4))
(+.f64 -1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 -27/2800 (pow.f64 x 4))
(*.f64 (pow.f64 x 4) -27/2800)
(*.f64 -27/2800 (pow.f64 x 4))
(.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)
(*.f64 -27/2800 (pow.f64 x 4))
(.f64 1 (.f64 -27/2800 (pow.f64 x 4)))
(*.f64 -27/2800 (pow.f64 x 4))
(.f64 (.f64 (sqrt.f64 -27/2800) (.f64 x x)) (.f64 (sqrt.f64 -27/2800) (*.f64 x x)))
(*.f64 -27/2800 (pow.f64 x 4))
(.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)))
(.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 729/7840000)) (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(.f64 (cbrt.f64 (.f64 -27/2800 (pow.f64 x 4))) (cbrt.f64 (*.f64 (pow.f64 x 8) 729/7840000)))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (cbrt.f64 (pow.f64 x 4)) -27/2800))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 -27/2800 (cbrt.f64 (pow.f64 x 4))))
(.f64 -27/2800 (.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (.f64 x x) (.f64 (.f64 x x) -27/2800))
(*.f64 -27/2800 (pow.f64 x 4))
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1) (/.f64 1 (+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (fma.f64 -27/2800 (pow.f64 x 4) 2))
(.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (fma.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1) 1))
(.f64 (.f64 -27/2800 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)))
(.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 -27/2800 (cbrt.f64 (pow.f64 x 4))))
(.f64 -27/2800 (.f64 (cbrt.f64 (pow.f64 x 8)) (cbrt.f64 (pow.f64 x 4))))
(.f64 (.f64 -27/2800 (.f64 x x)) (.f64 x x))
(*.f64 -27/2800 (pow.f64 x 4))
(.f64 (+.f64 (sqrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) 1) (-.f64 (sqrt.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)) 1))
(*.f64 -27/2800 (pow.f64 x 4))
(/.f64 1 (/.f64 (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1) (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (fma.f64 -27/2800 (pow.f64 x 4) 2))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1)) (+.f64 (pow.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (fma.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1) (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (fma.f64 -27/2800 (pow.f64 x 4) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1) (-.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) -1))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (fma.f64 -27/2800 (pow.f64 x 4) 2))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 1)))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (fma.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1) 1))
(/.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1) (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (-.f64 1 (.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) -1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (fma.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) -1)) (neg.f64 (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 1)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (/.f64 1 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2)) (fma.f64 -27/2800 (pow.f64 x 4) 2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 3) -1)) (neg.f64 (+.f64 (pow.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) 2) (+.f64 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) 1))))
(/.f64 (.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) 1) (+.f64 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 2) (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -27/2800 (pow.f64 x 4) 1) 3)) (fma.f64 (fma.f64 -27/2800 (pow.f64 x 4) 2) (fma.f64 -27/2800 (pow.f64 x 4) 1) 1))
(pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (.f64 (sqrt.f64 -27/2800) (.f64 x x)) 2)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 -27/2800 (pow.f64 x 4))) 3)
(*.f64 -27/2800 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3) 1/3)
(*.f64 -27/2800 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 729/7840000))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x 4)) -27/2800))
(*.f64 -27/2800 (pow.f64 x 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4)))))
(*.f64 -27/2800 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 -27/2800 (pow.f64 x 4)) 3))
(*.f64 -27/2800 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))
(exp.f64 (.f64 (log.f64 (.f64 -27/2800 (pow.f64 x 4))) 1))
(*.f64 -27/2800 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 -27/2800 (pow.f64 x 4))))
(*.f64 -27/2800 (pow.f64 x 4))
(fma.f64 1 (+.f64 (*.f64 -27/2800 (pow.f64 x 4)) 1) -1)
(*.f64 -27/2800 (pow.f64 x 4))
(fma.f64 (sqrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) (sqrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) -1)
(*.f64 -27/2800 (pow.f64 x 4))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) 2) (cbrt.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1)) -1)
(*.f64 -27/2800 (pow.f64 x 4))

eval922.0ms (4.9%)

Compiler: Compiled 56119 to 26478 computations (52.8% saved)

prune617.0ms (3.3%)

Pruning

15 alts after pruning (9 fresh and 6 done)

	Pruned	Kept	Total
New	1978	7	1985
Fresh	1	2	3
Picked	1	0	1
Done	4	6	10
Total	1984	15	1999

Error

0.0b

Counts

1999 → 15

Alt Table

Click to see full alt table

Status	Error	Program
✓	29.0b	(/.f64 (-.f64 (sin.f64 x) x) (-.f64 (tan.f64 x) x))
✓	30.5b	(/.f64 (neg.f64 x) (/.f64 1 (/.f64 1 (-.f64 (tan.f64 x) x))))
	30.2b	(/.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 x)))
	30.4b	(/.f64 x (-.f64 x (tan.f64 x)))
✓	29.0b	(-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))
	33.9b	(-.f64 (+.f64 (.f64 (.f64 x x) 9/40) (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))) 1/2)
	54.9b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (fma.f64 -2800/27 (/.f64 (.f64 -27/2800 (pow.f64 (/.f64 1 x) -4)) (pow.f64 x 4)) (fma.f64 (pow.f64 (/.f64 1 x) -4) -27/2800 -1)) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
	33.9b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) -1) (*.f64 27/112000 (pow.f64 x 6)))) 1/2)
	55.4b	(-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (+.f64 -1 (.f64 (+.f64 (/.f64 -2800/27 (pow.f64 x 4)) 1) (.f64 -27/2800 (pow.f64 (/.f64 -1 x) -4)))) (.f64 27/112000 (pow.f64 x 6)))) 1/2)
✓	34.3b	(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40)) -1/2)
✓	33.7b	(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
✓	29.0b	(*.f64 (/.f64 1 (-.f64 (tan.f64 x) x)) (-.f64 (sin.f64 x) x))
	30.5b	(*.f64 (/.f64 1 (-.f64 x (tan.f64 x))) x)
	30.1b	1
	34.3b	-1/2

Compiler

Compiled 212 to 160 computations (24.5% saved)

regimes79.0ms (0.4%)

Counts

29 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

37.0ms	x
32.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.2b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 444 to 257 computations (42.1% saved)

bsearch64.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	0.0599368547325885	3609.232910355264
18.0ms	-8.457562031702876	-0.051115248625048675

Results

59.0ms

240×

body

256

valid

Compiler

Compiled 594 to 452 computations (23.9% saved)

regimes41.0ms (0.2%)

Counts

23 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

31.0ms	x
5.0ms	(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))

Results

Error	Segments	Branch
0.0b	3	`x`
0.2b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 258 to 139 computations (46.1% saved)

bsearch40.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.0599368547325885	3609.232910355264
19.0ms	-8.457562031702876	-0.051115248625048675

Results

36.0ms

240×

body

256

valid

Compiler

Compiled 534 to 347 computations (35% saved)

regimes75.0ms (0.4%)

Counts

21 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
0.0b	3	`x`
0.2b	2	`(/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))`

Compiler

Compiled 225 to 120 computations (46.7% saved)

bsearch58.0ms (0.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
38.0ms	0.0599368547325885	3609.232910355264
20.0ms	-8.457562031702876	-0.051115248625048675

Results

54.0ms

240×

body

256

valid

Compiler

Compiled 494 to 339 computations (31.4% saved)

regimes24.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.8b	3	`x`

Compiler

Compiled 133 to 79 computations (40.6% saved)

bsearch40.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.0599368547325885	3609.232910355264
19.0ms	-8.457562031702876	-0.051115248625048675

Results

36.0ms

240×

body

256

valid

Compiler

Compiled 449 to 309 computations (31.2% saved)

regimes24.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

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

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

Calls

1 calls:

21.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 114 to 67 computations (41.2% saved)

bsearch66.0ms (0.4%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
47.0ms	0.0599368547325885	3609.232910355264
19.0ms	-8.457562031702876	-0.051115248625048675

Results

36.0ms

240×

body

256

valid

Compiler

Compiled 359 to 234 computations (34.8% saved)

regimes14.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

Inputs
-1/2
1
(+.f64 (.f64 (.f64 9/40 x) x) -1/2)
(/.f64 (neg.f64 x) (/.f64 1 (/.f64 -1 x)))
(+.f64 (.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40)) -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))

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

Calls

1 calls:

12.0ms

Results

Error	Segments	Branch
0.9b	3	`x`

Compiler

Compiled 54 to 38 computations (29.6% saved)

bsearch43.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	0.0599368547325885	3609.232910355264
20.0ms	-8.457562031702876	-0.051115248625048675

Results

40.0ms

240×

body

256

valid

Compiler

Compiled 284 to 204 computations (28.2% saved)

regimes11.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
1.1b	3	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

bsearch39.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	0.0599368547325885	3609.232910355264
19.0ms	-8.457562031702876	-0.051115248625048675

Results

36.0ms

240×

body

256

valid

Compiler

Compiled 194 to 159 computations (18% saved)

regimes41.0ms (0.2%)

Accuracy

Total -61.6b remaining (-4469.7%)

Threshold costs -61.6b (-4469.7%)

Counts

2 → 3

Calls

Call 1

Inputs
-1/2
1

Outputs
1
-1/2
1

Calls

1 calls:

40.0ms

Results

Error	Segments	Branch
1.4b	3	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

bsearch39.0ms (0.2%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.0599368547325885	3609.232910355264
18.0ms	-8.457562031702876	-0.051115248625048675

Results

36.0ms

240×

body

256

valid

Compiler

Compiled 104 to 99 computations (4.8% saved)

simplify18.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	94	699
1	146	699
2	161	699
3	169	699
4	173	699

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 7566047373982433/72057594037927936) (-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) -1) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 7566047373982433/72057594037927936) (-.f64 (+.f64 (.f64 (.f64 x x) 9/40) (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))) 1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 6124895493223875/72057594037927936) (-.f64 (+.f64 (.f64 (.f64 x x) 9/40) (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -4728779608739021/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 4728779608739021/1125899906842624) (-.f64 (+.f64 (.f64 (.f64 x x) 9/40) (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40)) -1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (<=.f64 x -2589569785738035/562949953421312) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40)) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1))
-1/2

Outputs
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 7566047373982433/72057594037927936) (-.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) -1) (*.f64 27/112000 (pow.f64 x 6)))) 1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 7566047373982433/72057594037927936) (+.f64 (+.f64 (.f64 9/40 (pow.f64 x 2)) (+.f64 (+.f64 (+.f64 (.f64 -27/2800 (pow.f64 x 4)) 1) -1) (*.f64 27/112000 (pow.f64 x 6)))) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 7566047373982433/72057594037927936) (-.f64 (+.f64 (.f64 (.f64 x x) 9/40) (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))) 1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 7566047373982433/72057594037927936) (+.f64 (+.f64 (.f64 9/40 (.f64 x x)) (.f64 (pow.f64 x 4) (+.f64 -27/2800 (.f64 27/112000 (*.f64 x x))))) -1/2) (-.f64 (/.f64 (sin.f64 x) (-.f64 (tan.f64 x) x)) (/.f64 x (-.f64 (tan.f64 x) x)))))
(if (<=.f64 x -3242591731706757/36028797018963968) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (if (<=.f64 x 6124895493223875/72057594037927936) (-.f64 (+.f64 (.f64 (.f64 x x) 9/40) (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))) 1/2) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -3242591731706757/36028797018963968) (not (<=.f64 x 6124895493223875/72057594037927936))) (/.f64 (-.f64 x (sin.f64 x)) (-.f64 x (tan.f64 x))) (+.f64 (+.f64 (.f64 9/40 (.f64 x x)) (.f64 (pow.f64 x 4) (+.f64 -27/2800 (.f64 27/112000 (*.f64 x x))))) -1/2))
(if (<=.f64 x -4728779608739021/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 4728779608739021/1125899906842624) (-.f64 (+.f64 (.f64 (.f64 x x) 9/40) (.f64 (pow.f64 x 4) (+.f64 (.f64 (*.f64 x x) 27/112000) -27/2800))) 1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -4728779608739021/1125899906842624) (not (<=.f64 x 4728779608739021/1125899906842624))) (/.f64 x (-.f64 x (tan.f64 x))) (+.f64 (+.f64 (.f64 9/40 (.f64 x x)) (.f64 (pow.f64 x 4) (+.f64 -27/2800 (.f64 27/112000 (*.f64 x x))))) -1/2))
(if (<=.f64 x -3152519739159347/1125899906842624) (/.f64 x (-.f64 x (tan.f64 x))) (if (<=.f64 x 3152519739159347/1125899906842624) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40)) -1/2) (/.f64 x (-.f64 x (tan.f64 x)))))
(if (or (<=.f64 x -3152519739159347/1125899906842624) (not (<=.f64 x 3152519739159347/1125899906842624))) (/.f64 x (-.f64 x (tan.f64 x))) (+.f64 (.f64 (.f64 x x) (+.f64 9/40 (.f64 -27/2800 (.f64 x x)))) -1/2))
(if (<=.f64 x -2589569785738035/562949953421312) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (.f64 (.f64 x x) (+.f64 (.f64 -27/2800 (.f64 x x)) 9/40)) -1/2) 1))
(if (<=.f64 x -2589569785738035/562949953421312) 1 (if (<=.f64 x 6530219459687219/2251799813685248) (+.f64 (.f64 (.f64 x x) (+.f64 9/40 (.f64 -27/2800 (.f64 x x)))) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 (.f64 (.f64 9/40 x) x) -1/2) 1))
(if (<=.f64 x -5854679515581645/2251799813685248) 1 (if (<=.f64 x 5/2) (+.f64 -1/2 (.f64 x (.f64 x 9/40))) 1))
(if (<=.f64 x -3602879701896397/2251799813685248) 1 (if (<=.f64 x 3602879701896397/2251799813685248) -1/2 1))
-1/2

Compiler

Compiled 264 to 177 computations (33% saved)

soundness796.0ms (4.2%)

Algorithm

3×	egg-herbie

Rules

1676×	`associate-/r*`
1558×	`associate-*r/`
1206×	`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	343	7302
1	950	7190
2	4133	7190
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 409 to 163 computations (60.1% saved)

end156.0ms (0.8%)

Compiler: Compiled 256 to 146 computations (43% saved)