Details

analyze4.0ms (0%)

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
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50.4%	0.4%	0%	49.2%	0%	0%	10
99.6%	50.4%	0.2%	0%	49.4%	0%	0%	11
99.8%	50.4%	0.1%	0%	49.5%	0%	0%	12

Compiler

Compiled 10 to 8 computations (20% saved)

sample4.6s (65.9%)

Results

3.5s	4360×	body	2048	valid
870.0ms	2046×	body	1024	valid
202.0ms	991×	body	512	valid
82.0ms	859×	body	256	valid
1.0ms	10×	body	256	infinite

Bogosity

preprocess61.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

801×	`associate-/l*_binary64`
624×	`fma-def_binary64`
581×	`fma-neg_binary64`
548×	`unswap-sqr_binary64`
536×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	36	13
3	60	13
4	122	13
5	273	13
6	709	13
7	1729	13
8	3145	13
9	7605	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 10 to 8 computations (20% saved)

simplify53.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

801×	`associate-/l*_binary64`
624×	`fma-def_binary64`
581×	`fma-neg_binary64`
548×	`unswap-sqr_binary64`
536×	`div-sub_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	36	13
3	60	13
4	122	13
5	273	13
6	709	13
7	1729	13
8	3145	13
9	7605	13

Stop Event

1×	node limit

Counts

1 → 5

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 (exp.f64 x) -2) (exp.f64 (neg.f64 x)))
(+.f64 (exp.f64 x) (+.f64 -2 (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

eval1.0ms (0%)

Compiler: Compiled 41 to 19 computations (53.7% saved)

prune2.0ms (0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	2	3	5
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	2	4	6

Error

30.4b

Counts

6 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	30.5b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
▶	30.5b	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
▶	30.6b	(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.1b	(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

Compiler

Compiled 24 to 8 computations (66.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	-inf	(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
0.0ms	x	@	inf	(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

rewrite55.0ms (0.8%)

Algorithm

1×	egg-rewrite-iter-limit
1×	batch-egg-rewrite

Rules

96×	`add-sqr-sqrt_binary64`
92×	`add-log-exp_binary64`
90×	`*-un-lft-identity_binary64`
90×	`add-exp-log_binary64`
90×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	182	9
2	3153	9
0	8	9

Stop Event

1×	iter limit
1×	unsound

Counts

1 → 11

Calls

Call 1

Inputs
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))

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

Outputs

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

simplify36.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

743×	`associate-*l/_binary64`
590×	`distribute-rgt-in_binary64`
528×	`distribute-lft-in_binary64`
335×	`associate-l_binary64`
284×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	66	344
1	184	332
2	605	325
3	2639	223

Stop Event

1×	node limit

Counts

23 → 36

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(.f64 1 (+.f64 -2 (.f64 2 (cosh.f64 x))))
(.f64 (.f64 (cbrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(.f64 (sqrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(/.f64 (+.f64 -8 (pow.f64 (.f64 2 (cosh.f64 x)) 3)) (+.f64 4 (-.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (.f64 -2 (.f64 2 (cosh.f64 x))))))
(/.f64 (-.f64 4 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x)))) (-.f64 -2 (.f64 2 (cosh.f64 x))))
(pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(cbrt.f64 (.f64 (.f64 (+.f64 -2 (.f64 2 (cosh.f64 x))) (+.f64 -2 (.f64 2 (cosh.f64 x)))) (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(.f64 1 (+.f64 -2 (.f64 2 (cosh.f64 x))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (.f64 (cbrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) (cbrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x))))) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (sqrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(/.f64 (+.f64 -8 (pow.f64 (.f64 2 (cosh.f64 x)) 3)) (+.f64 4 (-.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (.f64 -2 (.f64 2 (cosh.f64 x))))))
(/.f64 (+.f64 -8 (.f64 8 (pow.f64 (cosh.f64 x) 3))) (+.f64 4 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (.f64 2 (cosh.f64 x)) -2))))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -8) (fma.f64 (*.f64 2 (cosh.f64 x)) (fma.f64 2 (cosh.f64 x) 2) 4))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -8) (fma.f64 (cosh.f64 x) (fma.f64 4 (cosh.f64 x) 4) 4))
(/.f64 (-.f64 4 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x)))) (-.f64 -2 (.f64 2 (cosh.f64 x))))
(/.f64 (-.f64 4 (.f64 4 (.f64 (cosh.f64 x) (cosh.f64 x)))) (+.f64 -2 (*.f64 -2 (cosh.f64 x))))
(/.f64 (+.f64 4 (.f64 (.f64 (cosh.f64 x) -4) (cosh.f64 x))) (+.f64 -2 (*.f64 -2 (cosh.f64 x))))
(/.f64 (fma.f64 (*.f64 (cosh.f64 x) -4) (cosh.f64 x) 4) (fma.f64 -2 (cosh.f64 x) -2))
(pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(cbrt.f64 (.f64 (.f64 (+.f64 -2 (.f64 2 (cosh.f64 x))) (+.f64 -2 (.f64 2 (cosh.f64 x)))) (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 2 (cosh.f64 x) -2)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (exp.f64 (neg.f64 x)) -2)
✓	4.8b	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))

Compiler

Compiled 23 to 10 computations (56.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
0.0ms	x	@	0	(+.f64 (exp.f64 (neg.f64 x)) -2)
0.0ms	x	@	inf	(+.f64 (exp.f64 (neg.f64 x)) -2)
0.0ms	x	@	-inf	(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
0.0ms	x	@	-inf	(+.f64 (exp.f64 (neg.f64 x)) -2)

rewrite71.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

853×	`pow1_binary64`
802×	`add-log-exp_binary64`
799×	`log1p-expm1-u_binary64`
799×	`expm1-log1p-u_binary64`
788×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	179	15
2	2620	15

Stop Event

1×	node limit

Counts

2 → 65

Calls

Call 1

Inputs
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (exp.f64 (neg.f64 x)) -2)

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

Outputs

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

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

simplify61.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

964×	`fma-neg_binary64`
650×	`fma-def_binary64`
308×	`unswap-sqr_binary64`
199×	`cancel-sign-sub-inv_binary64`
194×	`times-frac_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	191	1555
1	487	1260
2	1751	1042
3	7419	1017

Stop Event

1×	node limit

Counts

89 → 124

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 (*.f64 -1 x) 1)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(-.f64 (+.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(.f64 (+.f64 -2 (.f64 2 (cosh.f64 x))) 1)
(.f64 1 (+.f64 -2 (.f64 2 (cosh.f64 x))))
(.f64 (cbrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(.f64 (sqrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x))))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (/.f64 1 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))) (neg.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (.f64 2 (cosh.f64 x)) 3) -8) (+.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (-.f64 4 (.f64 (.f64 2 (cosh.f64 x)) -2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))
(/.f64 (-.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) 4) (-.f64 (.f64 2 (cosh.f64 x)) -2))
(pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(pow.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 3)
(pow.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2)
(sqrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(-.f64 (+.f64 1 (+.f64 (exp.f64 x) -2)) 1)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 2)) (/.f64 4 (+.f64 (exp.f64 x) 2)))
(*.f64 (+.f64 (exp.f64 x) -2) 1)
(*.f64 1 (+.f64 (exp.f64 x) -2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))
(.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (.f64 (exp.f64 x) -2)))))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))) (+.f64 -8 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))
(/.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -2))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 (exp.f64 x) 2))
(/.f64 (neg.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) -2) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))
(fma.f64 1 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/20160 (pow.f64 x 8) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
-1
(-.f64 (*.f64 -1 x) 1)
(fma.f64 -1 x -1)
(fma.f64 x -1 -1)
(-.f64 -1 x)
(-.f64 (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x)) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) (neg.f64 x)) -1)
(fma.f64 (*.f64 x x) 1/2 (fma.f64 x -1 -1))
(-.f64 (fma.f64 x (*.f64 x 1/2) -1) x)
(-.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x))) 1)
(+.f64 (fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x))) -1)
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 (fma.f64 x -1 -1)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 x (*.f64 x 1/2) -1) x))
(fma.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/6)) (-.f64 -1 x))
(-.f64 (exp.f64 (neg.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (neg.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (exp.f64 (*.f64 -1 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) -2)
(-.f64 (+.f64 1 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 1)
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))) (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 2))
(/.f64 (+.f64 -2 (*.f64 2 (exp.f64 x))) 1)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(.f64 (+.f64 -2 (.f64 2 (cosh.f64 x))) 1)
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(.f64 1 (+.f64 -2 (.f64 2 (cosh.f64 x))))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (cbrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) (pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (pow.f64 (cbrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) 2) (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (sqrt.f64 (+.f64 -2 (.f64 2 (cosh.f64 x)))) (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x))))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 -2 (+.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(*.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (/.f64 1 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 2))
(/.f64 (+.f64 -2 (*.f64 2 (exp.f64 x))) 1)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 -2 (+.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 2))
(/.f64 (+.f64 -2 (*.f64 2 (exp.f64 x))) 1)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 -2 (+.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 -2 (+.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 2))
(/.f64 (+.f64 -2 (*.f64 2 (exp.f64 x))) 1)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (+.f64 (exp.f64 x) -2) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x))))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (.f64 (+.f64 (exp.f64 x) -2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 -2 (+.f64 (exp.f64 x) -2) (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2))) (neg.f64 (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 2))
(/.f64 (+.f64 -2 (*.f64 2 (exp.f64 x))) 1)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 (+.f64 (pow.f64 (.f64 2 (cosh.f64 x)) 3) -8) (+.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) (-.f64 4 (.f64 (.f64 2 (cosh.f64 x)) -2))))
(/.f64 (+.f64 (.f64 8 (pow.f64 (cosh.f64 x) 3)) -8) (+.f64 (.f64 4 (.f64 (cosh.f64 x) (cosh.f64 x))) (-.f64 4 (.f64 -2 (*.f64 2 (cosh.f64 x))))))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -8) (+.f64 (fma.f64 4 (.f64 (cosh.f64 x) (cosh.f64 x)) 4) (.f64 (cosh.f64 x) 4)))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -8) (+.f64 4 (*.f64 (cosh.f64 x) (fma.f64 (cosh.f64 x) 4 4))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (-.f64 (+.f64 (exp.f64 x) -2) (exp.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(.f64 1/2 (.f64 (+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)) 2))
(/.f64 (+.f64 -2 (*.f64 2 (exp.f64 x))) 1)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 (-.f64 (.f64 (.f64 2 (cosh.f64 x)) (.f64 2 (cosh.f64 x))) 4) (-.f64 (.f64 2 (cosh.f64 x)) -2))
(/.f64 (+.f64 (.f64 4 (.f64 (cosh.f64 x) (cosh.f64 x))) -4) (fma.f64 2 (cosh.f64 x) 2))
(/.f64 (fma.f64 4 (*.f64 (cosh.f64 x) (cosh.f64 x)) -4) (fma.f64 2 (cosh.f64 x) 2))
(pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 1)
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(pow.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3) 1/3)
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(pow.f64 (cbrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 3)
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(pow.f64 (sqrt.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))) 2)
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(sqrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 2))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(log.f64 (exp.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(cbrt.f64 (pow.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x))) 3))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(expm1.f64 (log1p.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(log1p.f64 (expm1.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(exp.f64 (log.f64 (+.f64 -2 (*.f64 2 (cosh.f64 x)))))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (fma.f64 2 (cosh.f64 x) -2) 0)
(fma.f64 2 (cosh.f64 x) -2)
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 -2 (*.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 -2 (*.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 -2 (*.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 -2 (*.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 -2 (*.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 -2 (*.f64 2 (exp.f64 x)))
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (+.f64 1 (+.f64 (exp.f64 x) -2)) 1)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) 2)) (/.f64 4 (+.f64 (exp.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 4 (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 -4 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (+.f64 2 (exp.f64 x)))
(*.f64 (+.f64 (exp.f64 x) -2) 1)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(*.f64 1 (+.f64 (exp.f64 x) -2))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (.f64 (exp.f64 x) -2)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 4 (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 -4 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))) (+.f64 -8 (pow.f64 (exp.f64 x) 3))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 4 (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 -4 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3)) (+.f64 4 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (exp.f64 x) -2))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 (exp.f64 x) 2))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 4 (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 -4 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 -8 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) -2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 4 (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 -4 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(-.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 4 (+.f64 2 (exp.f64 x))))
(+.f64 (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 2 (exp.f64 x))) (/.f64 -4 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (exp.f64 (+.f64 x x)) -4) (+.f64 2 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) -2) 1)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(fma.f64 1 (exp.f64 x) -2)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)
(+.f64 1 (-.f64 (+.f64 (exp.f64 x) -2) 1))
(+.f64 -1 (+.f64 (exp.f64 x) -1))
(+.f64 (exp.f64 x) -2)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (exp.f64 x) 2)
✓	5.5b	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series35.0ms (0.5%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
34.0ms	x	@	0	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	0	(-.f64 (exp.f64 x) 2)
0.0ms	x	@	inf	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
0.0ms	x	@	-inf	(-.f64 (exp.f64 x) 2)

rewrite51.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

869×	`pow1_binary64`
818×	`add-log-exp_binary64`
815×	`log1p-expm1-u_binary64`
815×	`expm1-log1p-u_binary64`
804×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	19
1	181	17
2	2653	17

Stop Event

1×	node limit

Counts

2 → 74

Calls

Call 1

Inputs
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(-.f64 (exp.f64 x) 2)

Outputs

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

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

simplify72.0ms (1%)

Algorithm

1×	egg-herbie

Rules

726×	`fma-def_binary64`
346×	`unswap-sqr_binary64`
337×	`distribute-rgt-in_binary64`
284×	`distribute-lft-in_binary64`
258×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	210	1554
1	526	1174
2	1830	1135

Stop Event

1×	node limit

Counts

90 → 119

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
-1
(-.f64 x 1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)) 1)
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 x)))
(-.f64 (+.f64 1 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 1)
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
(*.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 1)
(*.f64 1 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2))
(*.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2) (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(*.f64 (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x)) (.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) 1)) (.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (exp.f64 x)))
(/.f64 (+.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (exp.f64 x)) (.f64 (+.f64 (exp.f64 x) 2) 1)) (*.f64 (+.f64 (exp.f64 x) 2) (exp.f64 x)))
(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2)))))
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 1)
(pow.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 2))
(log.f64 (exp.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 3))
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(exp.f64 (log.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(fma.f64 1 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(+.f64 (exp.f64 x) -2)
(+.f64 -2 (exp.f64 x))
(*.f64 (+.f64 (exp.f64 x) -2) 1)
(*.f64 1 (+.f64 (exp.f64 x) -2))
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2)))))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 (exp.f64 x) 2))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (-.f64 (exp.f64 x) -2))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))
(pow.f64 (+.f64 (exp.f64 x) -2) 1)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))
(fma.f64 1 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/20160 (pow.f64 x 8) (*.f64 1/12 (pow.f64 x 4)))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/20160 (pow.f64 x 8) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 (neg.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (exp.f64 x) (exp.f64 (*.f64 -1 x))) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
-1
(-.f64 x 1)
(+.f64 x -1)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x) 1)
(+.f64 (fma.f64 1/2 (*.f64 x x) x) -1)
(fma.f64 (*.f64 x x) 1/2 (-.f64 x 1))
(+.f64 x (fma.f64 x (*.f64 x 1/2) -1))
(-.f64 (+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) x)) 1)
(+.f64 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) x)) -1)
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (*.f64 x x) 1/2 (-.f64 x 1)))
(+.f64 -1 (fma.f64 (*.f64 x x) 1/2 (fma.f64 1/6 (pow.f64 x 3) x)))
(-.f64 (exp.f64 x) (-.f64 2 (exp.f64 x)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (+.f64 1 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 1)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(-.f64 (/.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))) (/.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(.f64 (.f64 (fma.f64 2 (exp.f64 x) -2) -2) -1/2)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(-.f64 (+.f64 (exp.f64 x) (exp.f64 x)) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(*.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 1)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(*.f64 1 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(*.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) (pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2) (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(*.f64 (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 2 (exp.f64 x) (pow.f64 (+.f64 (exp.f64 x) -2) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 2 (-.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(*.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (/.f64 1 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(.f64 (.f64 (fma.f64 2 (exp.f64 x) -2) -2) -1/2)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))) (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 2 (exp.f64 x) (pow.f64 (+.f64 (exp.f64 x) -2) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 2 (-.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(.f64 (.f64 (fma.f64 2 (exp.f64 x) -2) -2) -1/2)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 2 (exp.f64 x) (pow.f64 (+.f64 (exp.f64 x) -2) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 2 (-.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 2 (exp.f64 x) (pow.f64 (+.f64 (exp.f64 x) -2) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 2 (-.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(.f64 (.f64 (fma.f64 2 (exp.f64 x) -2) -2) -1/2)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (*.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 2 (exp.f64 x) (pow.f64 (+.f64 (exp.f64 x) -2) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 2 (-.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2))) (neg.f64 (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(.f64 (.f64 (fma.f64 2 (exp.f64 x) -2) -2) -1/2)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 (+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x)) (.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) 1)) (.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (exp.f64 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 2 (exp.f64 x))))) (+.f64 (pow.f64 (exp.f64 x) 3) (.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) (.f64 (exp.f64 x) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4)) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4)) (exp.f64 x))
(/.f64 (+.f64 (.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (exp.f64 x)) (.f64 (+.f64 (exp.f64 x) 2) 1)) (*.f64 (+.f64 (exp.f64 x) 2) (exp.f64 x)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) -4)))) (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8))) (.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2)))))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 2 (exp.f64 x))))) (+.f64 (pow.f64 (exp.f64 x) 3) (.f64 (+.f64 4 (*.f64 2 (exp.f64 x))) (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))) (.f64 (exp.f64 x) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))))
(/.f64 (/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4)) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4)) (exp.f64 x))
(/.f64 (+.f64 (+.f64 (exp.f64 x) 2) (.f64 (exp.f64 x) (fma.f64 (exp.f64 x) (exp.f64 x) -4))) (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 2)))
(/.f64 (fma.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (exp.f64 x) (+.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (fma.f64 (exp.f64 x) (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x))) (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 2 (.f64 (exp.f64 x) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) -4)))) (.f64 (exp.f64 x) (+.f64 2 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x))) (.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))))
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (.f64 (exp.f64 x) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2))))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (+.f64 (exp.f64 x) -2) 3)) (fma.f64 2 (exp.f64 x) (pow.f64 (+.f64 (exp.f64 x) -2) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) (pow.f64 (-.f64 2 (exp.f64 x)) 3)) (fma.f64 2 (-.f64 2 (exp.f64 x)) (pow.f64 (exp.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (*.f64 (-.f64 2 (exp.f64 x)) (-.f64 2 (exp.f64 x)))) (+.f64 (exp.f64 x) (-.f64 2 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(.f64 (.f64 (fma.f64 2 (exp.f64 x) -2) -2) -1/2)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (+.f64 (exp.f64 x) -2) 2)) (-.f64 (exp.f64 x) (+.f64 (exp.f64 x) -2)))
(/.f64 (-.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (exp.f64 x) (-.f64 -2 (exp.f64 x))))
(.f64 (.f64 (fma.f64 2 (exp.f64 x) -2) -2) -1/2)
(/.f64 (fma.f64 2 (exp.f64 x) -2) 1)
(pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 1)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(pow.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 3) 1/3)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(pow.f64 (cbrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 3)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(pow.f64 (sqrt.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)) 2)
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(sqrt.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(log.f64 (exp.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(cbrt.f64 (pow.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2) 3))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(expm1.f64 (log1p.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(log1p.f64 (expm1.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(exp.f64 (log.f64 (+.f64 (+.f64 (exp.f64 x) (exp.f64 x)) -2)))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 1 (exp.f64 x) (+.f64 (exp.f64 x) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 1 (exp.f64 x) (neg.f64 (-.f64 2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 1 (+.f64 (exp.f64 x) -2) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)) (exp.f64 x))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (+.f64 (exp.f64 x) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) (neg.f64 (-.f64 2 (exp.f64 x))))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 x))
(fma.f64 2 (exp.f64 x) -2)
(+.f64 (exp.f64 x) -2)
(+.f64 -2 (exp.f64 x))
(+.f64 (exp.f64 x) -2)
(*.f64 (+.f64 (exp.f64 x) -2) 1)
(+.f64 (exp.f64 x) -2)
(*.f64 1 (+.f64 (exp.f64 x) -2))
(+.f64 (exp.f64 x) -2)
(*.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2))
(+.f64 (exp.f64 x) -2)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 2) (cbrt.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -2)
(*.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) (sqrt.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -2)
(.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (.f64 (exp.f64 x) 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 2 (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(*.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (/.f64 1 (+.f64 (exp.f64 x) 2)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 2 (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 1 (/.f64 (+.f64 (exp.f64 x) 2) (fma.f64 (exp.f64 x) (exp.f64 x) -4)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 2 (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 4 (*.f64 (exp.f64 x) -2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 2 (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (+.f64 (exp.f64 x) 2))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(/.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4) (-.f64 (exp.f64 x) -2))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 (exp.f64 x) 2)))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) (+.f64 4 (*.f64 2 (exp.f64 x)))) (+.f64 (pow.f64 (exp.f64 x) 3) -8)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (+.f64 4 (*.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 3) -8) (fma.f64 (exp.f64 x) (+.f64 2 (exp.f64 x)) 4))
(/.f64 (neg.f64 (fma.f64 (exp.f64 x) (exp.f64 x) -4)) (neg.f64 (+.f64 (exp.f64 x) 2)))
(*.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (/.f64 1 (+.f64 2 (exp.f64 x))))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -4) (+.f64 2 (exp.f64 x)))
(/.f64 (-.f64 4 (pow.f64 (exp.f64 x) 2)) (-.f64 -2 (exp.f64 x)))
(pow.f64 (+.f64 (exp.f64 x) -2) 1)
(+.f64 (exp.f64 x) -2)
(pow.f64 (cbrt.f64 (+.f64 (exp.f64 x) -2)) 3)
(+.f64 (exp.f64 x) -2)
(pow.f64 (sqrt.f64 (+.f64 (exp.f64 x) -2)) 2)
(+.f64 (exp.f64 x) -2)
(pow.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3) 1/3)
(+.f64 (exp.f64 x) -2)
(sqrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 2))
(+.f64 (exp.f64 x) -2)
(log.f64 (exp.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -2)
(cbrt.f64 (pow.f64 (+.f64 (exp.f64 x) -2) 3))
(+.f64 (exp.f64 x) -2)
(expm1.f64 (log1p.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -2)
(log1p.f64 (expm1.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -2)
(exp.f64 (log.f64 (+.f64 (exp.f64 x) -2)))
(+.f64 (exp.f64 x) -2)
(fma.f64 1 (exp.f64 x) -2)
(+.f64 (exp.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -2)
(+.f64 (exp.f64 x) -2)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -2)
(+.f64 (exp.f64 x) -2)

eval77.0ms (1.1%)

Compiler: Compiled 4012 to 2370 computations (40.9% saved)

prune38.0ms (0.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	272	7	279
Fresh	0	0	0
Picked	1	0	1
Done	2	0	2
Total	275	7	282

Error

Counts

282 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
▶	0.2b	(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
	0.2b	(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
▶	30.6b	(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
▶	0.3b	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
▶	31.5b	(+.f64 -1 (exp.f64 (neg.f64 x)))
▶	0.7b	(*.f64 x x)

Compiler

Compiled 134 to 98 computations (26.9% saved)

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
✓	0.1b	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 38 to 27 computations (28.9% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/12 (pow.f64 x 4))
1.0ms	x	@	-inf	(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
1.0ms	x	@	inf	(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
1.0ms	x	@	inf	(*.f64 1/12 (pow.f64 x 4))
0.0ms	x	@	0	(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

927×	`pow1_binary64`
869×	`add-log-exp_binary64`
869×	`log1p-expm1-u_binary64`
869×	`expm1-log1p-u_binary64`
851×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	234	25
2	2497	25

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(*.f64 1/12 (pow.f64 x 4))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 8) 1/144))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/360 (pow.f64 x 6)) 1) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3)) (+.f64 (*.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/360 (pow.f64 x 6))) (-.f64 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2) (*.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 1/360 (pow.f64 x 6)) (*.f64 1/360 (pow.f64 x 6))) (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (*.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))))))

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

393×	`unswap-sqr_binary64`
374×	`log-prod_binary64`
347×	`fma-neg_binary64`
298×	`fma-def_binary64`
288×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	798
1	231	746
2	969	713
3	4549	689

Stop Event

1×	node limit

Counts

45 → 57

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144))
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 (.f64 1/360 (pow.f64 x 6)) 1) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 1)
(.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) 1)
(.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (.f64 1/360 (pow.f64 x 6)) 3) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 3)) (+.f64 (.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/360 (pow.f64 x 6))) (-.f64 (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2) (.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(/.f64 (-.f64 (.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/360 (pow.f64 x 6))) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 1 (*.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 (*.f64 1/12 (pow.f64 x 4)) 1)
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3) 1/3)
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) 3)
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) 2)
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/144))
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(cbrt.f64 (pow.f64 (*.f64 1/12 (pow.f64 x 4)) 3))
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(expm1.f64 (log1p.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(log1p.f64 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(exp.f64 (log.f64 (*.f64 1/12 (pow.f64 x 4))))
(+.f64 1 (-.f64 (*.f64 1/12 (pow.f64 x 4)) 1))
(+.f64 (*.f64 1/12 (pow.f64 x 4)) 0)
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 (.f64 1/360 (pow.f64 x 6)) 1) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (+.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 1)
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) 1)
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(/.f64 (+.f64 (pow.f64 (.f64 1/360 (pow.f64 x 6)) 3) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 3)) (+.f64 (.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/360 (pow.f64 x 6))) (-.f64 (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2) (.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(/.f64 (+.f64 (.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3)) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 3)) (+.f64 (.f64 1/129600 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (-.f64 (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2) (.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 3)) (fma.f64 1/129600 (pow.f64 x 12) (.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (-.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6))))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x)) 3)) (fma.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x)) (+.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x)) (.f64 (pow.f64 x 6) -1/360)) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (fma.f64 1/46656000 (pow.f64 (pow.f64 x 6) 3) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 3)) (fma.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (+.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 x x (.f64 (pow.f64 x 6) -1/360))) (*.f64 1/129600 (pow.f64 x 12))))
(/.f64 (-.f64 (.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/360 (pow.f64 x 6))) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 1/129600 (.f64 (pow.f64 x 6) (pow.f64 x 6))) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 1/129600 (pow.f64 x 12)) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 1/129600 (pow.f64 x 12)) (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x)) 2)) (-.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 1/12 (pow.f64 x 4) (.f64 x x))))
(/.f64 (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))) 1)
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3) 1/3)
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 3)
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2)
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))

localize2.0ms (0%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	7.1b	(+.f64 -1 (exp.f64 (neg.f64 x)))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite37.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

543×	`pow1_binary64`
506×	`add-log-exp_binary64`
504×	`log1p-expm1-u_binary64`
504×	`expm1-log1p-u_binary64`
497×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	124	6
2	1587	6

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 -1 (exp.f64 (neg.f64 x)))

Outputs

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

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

606×	`fma-neg_binary64`
452×	`cancel-sign-sub-inv_binary64`
442×	`div-sub_binary64`
346×	`associate-l_binary64`
323×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	516
1	244	441
2	755	352
3	4674	351

Stop Event

1×	node limit

Counts

43 → 58

Calls

Call 1

Inputs
(*.f64 -1 x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1 x))))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (neg.f64 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(-.f64 (+.f64 1 (+.f64 -1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 -1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 -1 (exp.f64 x))))
(*.f64 (+.f64 -1 (exp.f64 x)) 1)
(*.f64 1 (+.f64 -1 (exp.f64 x)))
(*.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -1 (exp.f64 x))))
(*.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) (sqrt.f64 (+.f64 -1 (exp.f64 x))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 -1 (exp.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))) (+.f64 -1 (pow.f64 (exp.f64 x) 3))))
(/.f64 1 (/.f64 (-.f64 -1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (neg.f64 (exp.f64 x)))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 -1 (exp.f64 x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (-.f64 (exp.f64 x) -1))
(pow.f64 (+.f64 -1 (exp.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) 2)
(sqrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 -1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 -1 (exp.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 -1 (exp.f64 x))))
(exp.f64 (log.f64 (+.f64 -1 (exp.f64 x))))
(fma.f64 1 (exp.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)

Outputs
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 -1 x))
(fma.f64 1/2 (*.f64 x x) (neg.f64 x))
(-.f64 (.f64 1/2 (.f64 x x)) x)
(-.f64 (.f64 x (.f64 x 1/2)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 -1 x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (neg.f64 x)))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (.f64 1/2 (.f64 x x)) x))
(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
(fma.f64 (.f64 x x) (+.f64 (.f64 x -1/6) 1/2) (neg.f64 x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/24 (pow.f64 x 4)) (.f64 -1 x))))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/2 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x))))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 1/2 (.f64 x x) (.f64 1/24 (pow.f64 x 4))) x))
(fma.f64 -1/6 (pow.f64 x 3) (-.f64 (fma.f64 1/24 (pow.f64 x 4) (.f64 x (.f64 x 1/2))) x))
(fma.f64 (.f64 x x) (+.f64 1/2 (.f64 x -1/6)) (fma.f64 1/24 (pow.f64 x 4) (neg.f64 x)))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (neg.f64 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (exp.f64 (*.f64 -1 x)) 1)
(expm1.f64 (neg.f64 x))
(-.f64 (+.f64 1 (+.f64 -1 (exp.f64 x))) 1)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(-.f64 (/.f64 1 (-.f64 -1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 -1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x)))
(*.f64 (+.f64 -1 (exp.f64 x)) 1)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 1 (+.f64 -1 (exp.f64 x)))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 -1 (exp.f64 x))))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) (sqrt.f64 (+.f64 -1 (exp.f64 x))))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1))
(*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 -1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x)))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 x)) 1) (-.f64 (sqrt.f64 (exp.f64 x)) 1))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(/.f64 1 (/.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))) (+.f64 -1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1))
(/.f64 1 (/.f64 (-.f64 -1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (neg.f64 (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 x)))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) 1) (+.f64 1 (+.f64 (exp.f64 x) (pow.f64 (exp.f64 x) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (*.f64 (+.f64 1 (exp.f64 x)) (exp.f64 x))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (+.f64 2 (expm1.f64 x)) (exp.f64 x) 1))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (+.f64 2 (expm1.f64 x)) 1))
(/.f64 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 -1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 x) 2) 1) (-.f64 (exp.f64 x) -1))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 -1 (exp.f64 x)))
(/.f64 (expm1.f64 (+.f64 x x)) (+.f64 2 (expm1.f64 x)))
(pow.f64 (+.f64 -1 (exp.f64 x)) 1)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(pow.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(pow.f64 (cbrt.f64 (+.f64 -1 (exp.f64 x))) 3)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(pow.f64 (sqrt.f64 (+.f64 -1 (exp.f64 x))) 2)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(sqrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 2))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(log.f64 (exp.f64 (+.f64 -1 (exp.f64 x))))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(cbrt.f64 (pow.f64 (+.f64 -1 (exp.f64 x)) 3))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(expm1.f64 (log1p.f64 (+.f64 -1 (exp.f64 x))))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(log1p.f64 (expm1.f64 (+.f64 -1 (exp.f64 x))))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(exp.f64 (log.f64 (+.f64 -1 (exp.f64 x))))
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 1 (exp.f64 x) -1)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) -1)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) -1)
(+.f64 (+.f64 0 (exp.f64 x)) -1)
(+.f64 -1 (exp.f64 x))
(expm1.f64 x)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 -1 (*.f64 2 (cosh.f64 x)))
✓	4.1b	(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)

Compiler

Compiled 24 to 16 computations (33.3% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

959×	`pow1_binary64`
893×	`add-log-exp_binary64`
891×	`log1p-expm1-u_binary64`
891×	`expm1-log1p-u_binary64`
93×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	179	16
2	2338	16

Stop Event

1×	node limit

Counts

2 → 66

Calls

Call 1

Inputs
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 -1 (*.f64 2 (cosh.f64 x)))

Outputs

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

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

simplify44.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

851×	`times-frac_binary64`
531×	`distribute-rgt-in_binary64`
502×	`distribute-lft-in_binary64`
456×	`fma-def_binary64`
312×	`unswap-sqr_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	175	1290
1	429	1177
2	1487	1151

Stop Event

1×	node limit

Counts

90 → 112

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
1
(+.f64 1 (pow.f64 x 2))
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 1 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 (.f64 2 (cosh.f64 x)) 0)) (/.f64 1 (+.f64 (.f64 2 (cosh.f64 x)) 0)))
(.f64 (+.f64 (.f64 2 (cosh.f64 x)) -2) 1)
(.f64 1 (+.f64 (.f64 2 (cosh.f64 x)) -2))
(.f64 (cbrt.f64 (+.f64 (.f64 2 (cosh.f64 x)) -2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)) 2))
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2 (cosh.f64 x)) -2)) 2) (cbrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(.f64 (sqrt.f64 (+.f64 (.f64 2 (cosh.f64 x)) -2)) (sqrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (-.f64 1 (.f64 -1 (fma.f64 2 (cosh.f64 x) -1))))))
(.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) -1) (/.f64 1 (+.f64 (.f64 2 (cosh.f64 x)) 0)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 1) (-.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (-.f64 1 (*.f64 -1 (fma.f64 2 (cosh.f64 x) -1)))) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 2 (cosh.f64 x)) 0) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (-.f64 1 (*.f64 -1 (fma.f64 2 (cosh.f64 x) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (*.f64 -1 (fma.f64 2 (cosh.f64 x) -1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) -1) (+.f64 (*.f64 2 (cosh.f64 x)) 0))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (-.f64 1 (*.f64 -1 (fma.f64 2 (cosh.f64 x) -1))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) -1)) (neg.f64 (+.f64 (*.f64 2 (cosh.f64 x)) 0)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)) (-.f64 -1 (fma.f64 2 (cosh.f64 x) -1)))
(pow.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2) 1)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)) 3)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)) 2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(exp.f64 (log.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(fma.f64 1 (fma.f64 2 (cosh.f64 x) -1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 2) (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) -1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (cosh.f64 x) -1))) 1)
(-.f64 (/.f64 1 (+.f64 -1 (.f64 -2 (cosh.f64 x)))) (/.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4) (+.f64 -1 (*.f64 -2 (cosh.f64 x)))))
(*.f64 (fma.f64 2 (cosh.f64 x) -1) 1)
(*.f64 1 (fma.f64 2 (cosh.f64 x) -1))
(*.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 2) (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)))
(*.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)))
(.f64 (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8)) (/.f64 1 (+.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (*.f64 2 (cosh.f64 x)) -1)))))
(.f64 (-.f64 1 (.f64 (pow.f64 (cosh.f64 x) 2) 4)) (/.f64 1 (+.f64 -1 (*.f64 -2 (cosh.f64 x)))))
(.f64 (+.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) 1) (-.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) 1))
(/.f64 1 (/.f64 (+.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (.f64 2 (cosh.f64 x)) -1))) (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8))))
(/.f64 1 (/.f64 (+.f64 -1 (.f64 -2 (cosh.f64 x))) (-.f64 1 (.f64 (pow.f64 (cosh.f64 x) 2) 4))))
(/.f64 (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8)) (+.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (.f64 2 (cosh.f64 x)) -1))))
(/.f64 (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8)) (+.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4) (-.f64 1 (*.f64 -2 (cosh.f64 x)))))
(/.f64 (-.f64 1 (.f64 (pow.f64 (cosh.f64 x) 2) 4)) (+.f64 -1 (.f64 -2 (cosh.f64 x))))
(/.f64 (neg.f64 (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8))) (neg.f64 (+.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (.f64 2 (cosh.f64 x)) -1)))))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (neg.f64 (+.f64 -1 (.f64 -2 (cosh.f64 x)))))
(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4) 1) (-.f64 (.f64 2 (cosh.f64 x)) -1))
(pow.f64 (fma.f64 2 (cosh.f64 x) -1) 1)
(pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 3)
(pow.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 2)
(pow.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2))
(log.f64 (exp.f64 (fma.f64 2 (cosh.f64 x) -1)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (cosh.f64 x) -1))))
(cbrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3))
(expm1.f64 (log1p.f64 (fma.f64 2 (cosh.f64 x) -1)))
(log1p.f64 (expm1.f64 (fma.f64 2 (cosh.f64 x) -1)))
(exp.f64 (log.f64 (fma.f64 2 (cosh.f64 x) -1)))
(fma.f64 2 (cosh.f64 x) -1)
(fma.f64 (cosh.f64 x) 2 -1)
(fma.f64 1 (*.f64 2 (cosh.f64 x)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (.f64 2 (cosh.f64 x))) -1)
(fma.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x))) -1)

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (+.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (fma.f64 1/12 (pow.f64 x 4) (.f64 1/20160 (pow.f64 x 8)))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/20160 (pow.f64 x 8) (*.f64 1/12 (pow.f64 x 4)))))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 2)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 2))
(+.f64 (exp.f64 x) (-.f64 (exp.f64 (neg.f64 x)) 2))
(+.f64 (exp.f64 (neg.f64 x)) (+.f64 (exp.f64 x) -2))
1
(+.f64 1 (pow.f64 x 2))
(+.f64 (*.f64 x x) 1)
(fma.f64 x x 1)
(+.f64 1 (+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4))))
(+.f64 (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))) 1)
(+.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 1))
(+.f64 1 (+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4)))))
(+.f64 (fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))) 1)
(+.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 1)
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) 1)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 (/.f64 1 (exp.f64 x)) (exp.f64 x)) 1)
(+.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 x) 1))
(+.f64 (exp.f64 (neg.f64 x)) (expm1.f64 x))
(+.f64 (exp.f64 x) (expm1.f64 (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2))) 1)
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (/.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 (.f64 2 (cosh.f64 x)) 0)) (/.f64 1 (+.f64 (.f64 2 (cosh.f64 x)) 0)))
(-.f64 (/.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (.f64 2 (cosh.f64 x))) (/.f64 1 (.f64 2 (cosh.f64 x))))
(-.f64 (/.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (*.f64 2 (cosh.f64 x))) (/.f64 1/2 (cosh.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (cosh.f64 x))) (/.f64 -1/2 (cosh.f64 x)))
(.f64 (+.f64 (.f64 2 (cosh.f64 x)) -2) 1)
(fma.f64 2 (cosh.f64 x) -2)
(.f64 1 (+.f64 (.f64 2 (cosh.f64 x)) -2))
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (cbrt.f64 (+.f64 (.f64 2 (cosh.f64 x)) -2)) (pow.f64 (cbrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)) 2))
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 2 (cosh.f64 x)) -2)) 2) (cbrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (sqrt.f64 (+.f64 (.f64 2 (cosh.f64 x)) -2)) (sqrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(fma.f64 2 (cosh.f64 x) -2)
(.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (-.f64 1 (.f64 -1 (fma.f64 2 (cosh.f64 x) -1))))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (fma.f64 (fma.f64 2 (cosh.f64 x) -1) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)) 1))
(.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) -1) (/.f64 1 (+.f64 (.f64 2 (cosh.f64 x)) 0)))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)))
(*.f64 (/.f64 1/2 (cosh.f64 x)) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)))
(*.f64 (+.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 1) (-.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 1))
(fma.f64 2 (cosh.f64 x) -2)
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (-.f64 1 (*.f64 -1 (fma.f64 2 (cosh.f64 x) -1)))) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (fma.f64 (fma.f64 2 (cosh.f64 x) -1) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)) 1))
(/.f64 1 (/.f64 (+.f64 (*.f64 2 (cosh.f64 x)) 0) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) -1)))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)))
(*.f64 (/.f64 1/2 (cosh.f64 x)) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (-.f64 1 (*.f64 -1 (fma.f64 2 (cosh.f64 x) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (fma.f64 (fma.f64 2 (cosh.f64 x) -1) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)) 1))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (*.f64 -1 (fma.f64 2 (cosh.f64 x) -1)))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (fma.f64 (fma.f64 2 (cosh.f64 x) -1) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)) 1))
(/.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) -1) (+.f64 (*.f64 2 (cosh.f64 x)) 0))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)))
(*.f64 (/.f64 1/2 (cosh.f64 x)) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (-.f64 1 (*.f64 -1 (fma.f64 2 (cosh.f64 x) -1))))))
(*.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3)) (fma.f64 (fma.f64 2 (cosh.f64 x) -1) (+.f64 1 (fma.f64 2 (cosh.f64 x) -1)) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2) -1)) (neg.f64 (+.f64 (*.f64 2 (cosh.f64 x)) 0)))
(.f64 (/.f64 1 (.f64 2 (cosh.f64 x))) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)))
(*.f64 (/.f64 1/2 (cosh.f64 x)) (+.f64 -1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)) (-.f64 -1 (fma.f64 2 (cosh.f64 x) -1)))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2)) (+.f64 -1 (fma.f64 (cosh.f64 x) -2 1)))
(pow.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2) 1)
(fma.f64 2 (cosh.f64 x) -2)
(pow.f64 (pow.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2) 3) 1/3)
(fma.f64 2 (cosh.f64 x) -2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)) 3)
(fma.f64 2 (cosh.f64 x) -2)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)) 2)
(fma.f64 2 (cosh.f64 x) -2)
(sqrt.f64 (pow.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2) 2))
(fma.f64 2 (cosh.f64 x) -2)
(log.f64 (exp.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(fma.f64 2 (cosh.f64 x) -2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2))))
(fma.f64 2 (cosh.f64 x) -2)
(cbrt.f64 (pow.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2) 3))
(fma.f64 2 (cosh.f64 x) -2)
(expm1.f64 (log1p.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(fma.f64 2 (cosh.f64 x) -2)
(log1p.f64 (expm1.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(fma.f64 2 (cosh.f64 x) -2)
(exp.f64 (log.f64 (+.f64 (*.f64 2 (cosh.f64 x)) -2)))
(fma.f64 2 (cosh.f64 x) -2)
(fma.f64 1 (fma.f64 2 (cosh.f64 x) -1) -1)
(fma.f64 2 (cosh.f64 x) -2)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 2) (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) -1)
(fma.f64 2 (cosh.f64 x) -2)
(fma.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) -1)
(fma.f64 2 (cosh.f64 x) -2)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 2 (cosh.f64 x) -1))) 1)
(fma.f64 2 (cosh.f64 x) -1)
(-.f64 (/.f64 1 (+.f64 -1 (.f64 -2 (cosh.f64 x)))) (/.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4) (+.f64 -1 (*.f64 -2 (cosh.f64 x)))))
(/.f64 (-.f64 1 (.f64 4 (pow.f64 (cosh.f64 x) 2))) (+.f64 -1 (.f64 (cosh.f64 x) -2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) 2) -4 1) (fma.f64 (cosh.f64 x) -2 -1))
(*.f64 (fma.f64 2 (cosh.f64 x) -1) 1)
(fma.f64 2 (cosh.f64 x) -1)
(*.f64 1 (fma.f64 2 (cosh.f64 x) -1))
(fma.f64 2 (cosh.f64 x) -1)
(*.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 2))
(fma.f64 2 (cosh.f64 x) -1)
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 2) (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)))
(fma.f64 2 (cosh.f64 x) -1)
(*.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)))
(fma.f64 2 (cosh.f64 x) -1)
(.f64 (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8)) (/.f64 1 (+.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (*.f64 2 (cosh.f64 x)) -1)))))
(/.f64 (.f64 (+.f64 -1 (.f64 8 (pow.f64 (cosh.f64 x) 3))) 1) (+.f64 1 (.f64 2 (.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)))))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -1) (fma.f64 2 (*.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)) 1))
(.f64 (-.f64 1 (.f64 (pow.f64 (cosh.f64 x) 2) 4)) (/.f64 1 (+.f64 -1 (*.f64 -2 (cosh.f64 x)))))
(/.f64 (-.f64 1 (.f64 4 (pow.f64 (cosh.f64 x) 2))) (+.f64 -1 (.f64 (cosh.f64 x) -2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) 2) -4 1) (fma.f64 (cosh.f64 x) -2 -1))
(.f64 (+.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) 1) (-.f64 (sqrt.f64 (*.f64 2 (cosh.f64 x))) 1))
(fma.f64 2 (cosh.f64 x) -1)
(/.f64 1 (/.f64 (+.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (.f64 2 (cosh.f64 x)) -1))) (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8))))
(/.f64 (.f64 (+.f64 -1 (.f64 8 (pow.f64 (cosh.f64 x) 3))) 1) (+.f64 1 (.f64 2 (.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)))))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -1) (fma.f64 2 (*.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)) 1))
(/.f64 1 (/.f64 (+.f64 -1 (.f64 -2 (cosh.f64 x))) (-.f64 1 (.f64 (pow.f64 (cosh.f64 x) 2) 4))))
(/.f64 (-.f64 1 (.f64 4 (pow.f64 (cosh.f64 x) 2))) (+.f64 -1 (.f64 (cosh.f64 x) -2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) 2) -4 1) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8)) (+.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (.f64 2 (cosh.f64 x)) -1))))
(/.f64 (.f64 (+.f64 -1 (.f64 8 (pow.f64 (cosh.f64 x) 3))) 1) (+.f64 1 (.f64 2 (.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)))))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -1) (fma.f64 2 (*.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)) 1))
(/.f64 (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8)) (+.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4) (-.f64 1 (*.f64 -2 (cosh.f64 x)))))
(/.f64 (.f64 (+.f64 -1 (.f64 8 (pow.f64 (cosh.f64 x) 3))) 1) (+.f64 1 (.f64 2 (.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)))))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -1) (fma.f64 2 (*.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)) 1))
(/.f64 (-.f64 1 (.f64 (pow.f64 (cosh.f64 x) 2) 4)) (+.f64 -1 (.f64 -2 (cosh.f64 x))))
(/.f64 (-.f64 1 (.f64 4 (pow.f64 (cosh.f64 x) 2))) (+.f64 -1 (.f64 (cosh.f64 x) -2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) 2) -4 1) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (neg.f64 (+.f64 -1 (.f64 (pow.f64 (cosh.f64 x) 3) 8))) (neg.f64 (+.f64 1 (.f64 (.f64 2 (cosh.f64 x)) (-.f64 (.f64 2 (cosh.f64 x)) -1)))))
(/.f64 (.f64 (+.f64 -1 (.f64 8 (pow.f64 (cosh.f64 x) 3))) 1) (+.f64 1 (.f64 2 (.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)))))
(/.f64 (fma.f64 8 (pow.f64 (cosh.f64 x) 3) -1) (fma.f64 2 (*.f64 (cosh.f64 x) (fma.f64 2 (cosh.f64 x) 1)) 1))
(/.f64 (neg.f64 (-.f64 1 (.f64 (pow.f64 (cosh.f64 x) 2) 4))) (neg.f64 (+.f64 -1 (.f64 -2 (cosh.f64 x)))))
(/.f64 (-.f64 1 (.f64 4 (pow.f64 (cosh.f64 x) 2))) (+.f64 -1 (.f64 (cosh.f64 x) -2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) 2) -4 1) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (-.f64 (.f64 (pow.f64 (cosh.f64 x) 2) 4) 1) (-.f64 (.f64 2 (cosh.f64 x)) -1))
(/.f64 (-.f64 1 (.f64 4 (pow.f64 (cosh.f64 x) 2))) (+.f64 -1 (.f64 (cosh.f64 x) -2)))
(/.f64 (+.f64 1 (*.f64 (pow.f64 (cosh.f64 x) 2) -4)) (fma.f64 (cosh.f64 x) -2 -1))
(/.f64 (fma.f64 (pow.f64 (cosh.f64 x) 2) -4 1) (fma.f64 (cosh.f64 x) -2 -1))
(pow.f64 (fma.f64 2 (cosh.f64 x) -1) 1)
(fma.f64 2 (cosh.f64 x) -1)
(pow.f64 (cbrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 3)
(fma.f64 2 (cosh.f64 x) -1)
(pow.f64 (sqrt.f64 (fma.f64 2 (cosh.f64 x) -1)) 2)
(fma.f64 2 (cosh.f64 x) -1)
(pow.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3) 1/3)
(fma.f64 2 (cosh.f64 x) -1)
(sqrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 2))
(fma.f64 2 (cosh.f64 x) -1)
(log.f64 (exp.f64 (fma.f64 2 (cosh.f64 x) -1)))
(fma.f64 2 (cosh.f64 x) -1)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 2 (cosh.f64 x) -1))))
(fma.f64 2 (cosh.f64 x) -1)
(cbrt.f64 (pow.f64 (fma.f64 2 (cosh.f64 x) -1) 3))
(fma.f64 2 (cosh.f64 x) -1)
(expm1.f64 (log1p.f64 (fma.f64 2 (cosh.f64 x) -1)))
(fma.f64 2 (cosh.f64 x) -1)
(log1p.f64 (expm1.f64 (fma.f64 2 (cosh.f64 x) -1)))
(fma.f64 2 (cosh.f64 x) -1)
(exp.f64 (log.f64 (fma.f64 2 (cosh.f64 x) -1)))
(fma.f64 2 (cosh.f64 x) -1)
(fma.f64 2 (cosh.f64 x) -1)
(fma.f64 (cosh.f64 x) 2 -1)
(fma.f64 2 (cosh.f64 x) -1)
(fma.f64 1 (*.f64 2 (cosh.f64 x)) -1)
(fma.f64 2 (cosh.f64 x) -1)
(fma.f64 (pow.f64 (cbrt.f64 (.f64 2 (cosh.f64 x))) 2) (cbrt.f64 (.f64 2 (cosh.f64 x))) -1)
(fma.f64 2 (cosh.f64 x) -1)
(fma.f64 (sqrt.f64 (.f64 2 (cosh.f64 x))) (sqrt.f64 (.f64 2 (cosh.f64 x))) -1)
(fma.f64 2 (cosh.f64 x) -1)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
	0.1b	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 24 to 15 computations (37.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))

rewrite43.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`pow1_binary64`
752×	`add-log-exp_binary64`
752×	`log1p-expm1-u_binary64`
752×	`expm1-log1p-u_binary64`
735×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	178	11
2	2166	11

Stop Event

1×	node limit

Counts

1 → 35

Calls

Call 1

Inputs
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 x 4) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/144) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (/.f64 1 (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12)) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (+.f64 (*.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))) (neg.f64 (-.f64 (+.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (hypot.f64 x (*.f64 (*.f64 x x) (sqrt.f64 1/12))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/12 (pow.f64 x 4)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (*.f64 1/12 (pow.f64 x 4))) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 (*.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))))))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

681×	`fma-neg_binary64`
465×	`associate-l_binary64`
420×	`associate-r_binary64`
399×	`log-prod_binary64`
271×	`div-sub_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	765
1	231	740
2	767	718
3	4311	703

Stop Event

1×	node limit

Counts

47 → 46

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 1)
(-.f64 (/.f64 (pow.f64 x 4) (+.f64 (.f64 x x) (.f64 -1/12 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 1/144) (+.f64 (.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))
(.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x)) 1)
(.f64 1 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x)))
(.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(.f64 (hypot.f64 x (.f64 (.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (.f64 (*.f64 x x) (sqrt.f64 1/12))))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (.f64 (pow.f64 x 6) 1/12))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (/.f64 1 (+.f64 (.f64 x x) (.f64 -1/12 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (.f64 (pow.f64 x 6) 1/12)) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))))
(/.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 -1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (-.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12)))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (+.f64 (.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/12))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (+.f64 (.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))) (neg.f64 (-.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144))) (neg.f64 (+.f64 (.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)
(pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 3)
(pow.f64 (hypot.f64 x (.f64 (.f64 x x) (sqrt.f64 1/12))) 2)
(sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1 (.f64 1/12 (pow.f64 x 4)) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (.f64 1/12 (pow.f64 x 4))) (*.f64 x x))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) (.f64 (.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(*.f64 1/12 (pow.f64 x 4))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (+.f64 1 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(-.f64 (/.f64 (pow.f64 x 4) (+.f64 (.f64 x x) (.f64 -1/12 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 1/144) (+.f64 (.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (fma.f64 x x (.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x)) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(.f64 1 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 2))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (.f64 x x))) 2) (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(.f64 (hypot.f64 x (.f64 (.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (.f64 (*.f64 x x) (sqrt.f64 1/12))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (/.f64 1 (-.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (.f64 (pow.f64 x 6) 1/12))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) 1) (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (-.f64 (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (/.f64 1 (+.f64 (.f64 x x) (.f64 -1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (fma.f64 x x (.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 1 (/.f64 (-.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (.f64 (pow.f64 x 6) 1/12)) (+.f64 (pow.f64 x 6) (*.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) 1) (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (-.f64 (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 1 (/.f64 (+.f64 (.f64 x x) (.f64 -1/12 (pow.f64 x 4))) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 8) 1/144))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (fma.f64 x x (.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (-.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12)))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) 1) (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (-.f64 (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) (+.f64 (.f64 (pow.f64 x 8) 1/144) (-.f64 (pow.f64 x 4) (*.f64 (pow.f64 x 6) 1/12))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) 1) (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (-.f64 (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (+.f64 (.f64 x x) (*.f64 -1/12 (pow.f64 x 4))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (fma.f64 x x (.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728))) (neg.f64 (-.f64 (+.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (*.f64 (pow.f64 x 6) 1/12))))
(/.f64 (.f64 (+.f64 (pow.f64 x 6) (.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728)) 1) (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 x 4) (*.f64 1/12 (pow.f64 x 6)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (-.f64 (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4)) (*.f64 1/12 (pow.f64 x 6))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 4) 3) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 x 6)) (fma.f64 -1/12 (pow.f64 x 6) (fma.f64 (pow.f64 x 8) 1/144 (pow.f64 x 4))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144))) (neg.f64 (+.f64 (.f64 x x) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (fma.f64 x x (.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/144) (pow.f64 x 4)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 8) 1/144)) (fma.f64 x x (.f64 (pow.f64 x 4) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 8) -1/144 (pow.f64 x 4)) (fma.f64 x x (*.f64 (pow.f64 x 4) -1/12)))
(pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 1)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(pow.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3) 1/3)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(pow.f64 (cbrt.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))) 3)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(pow.f64 (hypot.f64 x (.f64 (.f64 x x) (sqrt.f64 1/12))) 2)
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(sqrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 2))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(log.f64 (exp.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(cbrt.f64 (pow.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x)) 3))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(expm1.f64 (log1p.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(log1p.f64 (expm1.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(exp.f64 (log.f64 (fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (pow.f64 x 4) 1/12 (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1 (.f64 1/12 (pow.f64 x 4)) (.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (.f64 1/12 (pow.f64 x 4))) (*.f64 x x))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) (.f64 (.f64 x x) (sqrt.f64 1/12)) (*.f64 x x))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))

eval88.0ms (1.2%)

Compiler: Compiled 4169 to 2970 computations (28.8% saved)

prune54.0ms (0.8%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	281	6	287
Fresh	1	1	2
Picked	0	1	1
Done	2	2	4
Total	284	10	294

Error

Counts

294 → 10

Alt Table

Click to see full alt table

Status	Error	Program
	0.2b	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
▶	60.2b	(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
▶	0.2b	(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
▶	30.8b	(+.f64 (+.f64 (*.f64 x x) 1) -1)
	0.2b	(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
✓	30.6b	(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
✓	0.3b	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
✓	0.7b	(*.f64 x x)
▶	60.2b	(neg.f64 x)
▶	60.0b	(expm1.f64 (neg.f64 x))

Compiler

Compiled 157 to 113 computations (28% saved)

localize19.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 1/360 (pow.f64 x 6))
	0.1b	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/360 (pow.f64 x 6))
0.0ms	x	@	inf	(*.f64 1/360 (pow.f64 x 6))
0.0ms	x	@	-inf	(*.f64 1/360 (pow.f64 x 6))

rewrite36.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

509×	`pow1_binary64`
503×	`add-sqr-sqrt_binary64`
480×	`add-log-exp_binary64`
480×	`log1p-expm1-u_binary64`
480×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1377	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(*.f64 1/360 (pow.f64 x 6))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/360)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/360)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 12) 1/129600))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/360) (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))))))))

simplify53.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

759×	`exp-sum_binary64`
615×	`log-prod_binary64`
458×	`distribute-rgt-in_binary64`
451×	`distribute-lft-in_binary64`
434×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	38	143
1	99	110
2	320	77
3	2164	77
4	7281	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) 1)
(pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)
(pow.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) 1/3)
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/360)) 3)
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/360)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/129600))
(log.f64 (pow.f64 (exp.f64 1/360) (pow.f64 x 6)))
(cbrt.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))
(expm1.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6))))
(log1p.f64 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))
(exp.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))))

Outputs
(-.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) 1)
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(pow.f64 (*.f64 1/360 (pow.f64 x 6)) 1)
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(pow.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3) 1/3)
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(pow.f64 (.f64 (.f64 x x) (cbrt.f64 1/360)) 3)
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(pow.f64 (*.f64 (pow.f64 x 3) (sqrt.f64 1/360)) 2)
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(sqrt.f64 (*.f64 (pow.f64 x 12) 1/129600))
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(log.f64 (pow.f64 (exp.f64 1/360) (pow.f64 x 6)))
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(cbrt.f64 (pow.f64 (*.f64 1/360 (pow.f64 x 6)) 3))
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(log1p.f64 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))
(exp.f64 (log.f64 (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (+.f64 1 (*.f64 1/360 (pow.f64 x 6))) -1)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) 0)
(*.f64 1/360 (pow.f64 x 6))

localize2.0ms (0%)

Compiler: Compiled 4 to 2 computations (50% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.1b	(+.f64 (+.f64 (*.f64 x x) 1) -1)

Compiler

Compiled 19 to 10 computations (47.4% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

664×	`pow1_binary64`
624×	`add-log-exp_binary64`
623×	`log1p-expm1-u_binary64`
623×	`expm1-log1p-u_binary64`
613×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	151	4
2	1946	4

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(+.f64 (+.f64 (*.f64 x x) 1) -1)

Outputs

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

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

769×	`fma-neg_binary64`
737×	`div-sub_binary64`
289×	`associate-/l*_binary64`
193×	`associate-l_binary64`
188×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	401
1	248	371
2	706	346
3	3389	341

Stop Event

1×	node limit

Counts

53 → 47

Calls

Call 1

Inputs
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(pow.f64 x 2)
(-.f64 (fma.f64 x x 1) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 x x 1) 2) (+.f64 (.f64 x x) 2)) (/.f64 1 (+.f64 (.f64 x x) 2)))
(*.f64 x x)
(.f64 (.f64 x x) 1)
(.f64 1 (.f64 x x))
(.f64 (cbrt.f64 (.f64 x x)) (cbrt.f64 (pow.f64 x 4)))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) x))
(.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (.f64 x x)))
(.f64 (cbrt.f64 (pow.f64 x 4)) (.f64 (cbrt.f64 (*.f64 x x)) 1))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x))
(.f64 (+.f64 -1 (pow.f64 (fma.f64 x x 1) 3)) (/.f64 1 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 1 (.f64 (fma.f64 x x 1) -1)))))
(.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) -1) (/.f64 1 (+.f64 (.f64 x x) 2)))
(.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x))
(*.f64 (+.f64 (hypot.f64 1 x) 1) (-.f64 (hypot.f64 1 x) 1))
(.f64 (.f64 x (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 1 (*.f64 (fma.f64 x x 1) -1))) (+.f64 -1 (pow.f64 (fma.f64 x x 1) 3))))
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) 2) (+.f64 (pow.f64 (fma.f64 x x 1) 2) -1)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x x 1) 3)) (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 1 (*.f64 (fma.f64 x x 1) -1))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 x x 1) 3)) (+.f64 1 (-.f64 (pow.f64 (fma.f64 x x 1) 2) (*.f64 (fma.f64 x x 1) -1))))
(/.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) -1) (+.f64 (*.f64 x x) 2))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (fma.f64 x x 1) 3))) (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) (-.f64 1 (*.f64 (fma.f64 x x 1) -1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 x x 1) 2) -1)) (neg.f64 (+.f64 (*.f64 x x) 2)))
(/.f64 (+.f64 (pow.f64 x 6) 0) (+.f64 (pow.f64 x 4) (-.f64 0 (.f64 (.f64 x x) 0))))
(/.f64 (-.f64 (pow.f64 x 4) 0) (-.f64 (*.f64 x x) 0))
(/.f64 (-.f64 1 (pow.f64 (fma.f64 x x 1) 2)) (-.f64 -1 (fma.f64 x x 1)))
(pow.f64 x 2)
(pow.f64 (*.f64 x x) 1)
(pow.f64 (cbrt.f64 (*.f64 x x)) 3)
(pow.f64 (pow.f64 x 6) 1/3)
(sqrt.f64 (pow.f64 x 4))
(log.f64 (pow.f64 (exp.f64 x) x))
(cbrt.f64 (pow.f64 x 6))
(expm1.f64 (log1p.f64 (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 x x)))
(fma.f64 x x 0)
(fma.f64 1 (*.f64 x x) 0)
(fma.f64 1 (fma.f64 x x 1) -1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (cbrt.f64 (*.f64 x x)) 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x 1)) 2) (cbrt.f64 (fma.f64 x x 1)) -1)
(fma.f64 (hypot.f64 1 x) (hypot.f64 1 x) -1)

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

localize12.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2))
✓	0.4b	(*.f64 x -1/6)

Compiler

Compiled 35 to 21 computations (40% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x -1/6)
1.0ms	x	@	inf	(.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2))
0.0ms	x	@	0	(*.f64 x -1/6)
0.0ms	x	@	-inf	(.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2))
0.0ms	x	@	-inf	(*.f64 x -1/6)

rewrite68.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`pow1_binary64`
844×	`add-log-exp_binary64`
844×	`log1p-expm1-u_binary64`
844×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	181	15
2	2340	15

Stop Event

1×	node limit

Counts

2 → 35

Calls

Call 1

Inputs
(*.f64 x -1/6)
(.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x -1/6)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x -1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 x x) 1/36))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x -1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x -1/6)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 -1/6 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) 1) (*.f64 (*.f64 (*.f64 1/2 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 (*.f64 (*.f64 1/2 x) x) 3)) (+.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))) (-.f64 (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x)) (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (*.f64 1/2 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/6 (pow.f64 x 3))) (*.f64 (*.f64 (*.f64 1/2 x) x) (*.f64 (*.f64 1/2 x) x))) (-.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 (*.f64 1/2 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/216)) (*.f64 x x)) (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 x -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) 1/36) -1/4) (*.f64 x x)) (fma.f64 x -1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 1/8 (*.f64 (pow.f64 x 3) -1/216))) (+.f64 (*.f64 (*.f64 x x) 1/36) (-.f64 1/4 (*.f64 x -1/12))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x x) (+.f64 (*.f64 (*.f64 x x) 1/36) -1/4)) (fma.f64 x -1/6 -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -1/6 1/2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 x x) 3) (pow.f64 (fma.f64 x -1/6 1/2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (fma.f64 x -1/6 1/2) 3) (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (fma.f64 x -1/6 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x -1/6) (*.f64 x x) (*.f64 (*.f64 1/2 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) (*.f64 x -1/6) (*.f64 (*.f64 1/2 x) x))))))

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

421×	`fma-neg_binary64`
385×	`log-prod_binary64`
350×	`unswap-sqr_binary64`
347×	`fma-def_binary64`
325×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	113	687
1	334	586
2	1284	580
3	5163	577

Stop Event

1×	node limit

Counts

59 → 54

Calls

Call 1

Inputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(pow.f64 (*.f64 x -1/6) 1)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(sqrt.f64 (.f64 (.f64 x x) 1/36))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(exp.f64 (log.f64 (*.f64 x -1/6)))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 1/2 x) x))
(+.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/6 (pow.f64 x 3)))
(+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) 1) (.f64 (.f64 (*.f64 1/2 x) x) 1))
(-.f64 (+.f64 1 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))) 1)
(/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 (.f64 (.f64 1/2 x) x) 3)) (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 1/2 x) x)))))
(/.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 1/2 x) x)))
(/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/216)) (.f64 x x)) (+.f64 (.f64 (.f64 x x) 1/36) (-.f64 1/4 (.f64 x -1/12))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) 1/36) -1/4) (.f64 x x)) (fma.f64 x -1/6 -1/2))
(/.f64 (.f64 (.f64 x x) (+.f64 1/8 (.f64 (pow.f64 x 3) -1/216))) (+.f64 (.f64 (.f64 x x) 1/36) (-.f64 1/4 (.f64 x -1/12))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) -1/4)) (fma.f64 x -1/6 -1/2))
(pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2))) 1)
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))) 3)
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -1/6 1/2) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2)))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2))) 3))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 x -1/6 1/2) 3)))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x -1/6 1/2) 3) (pow.f64 (.f64 x x) 3)))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 (.f64 1/2 x) x))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 1/2 x) x))

Outputs
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 -1/6 x)
(*.f64 1/2 (pow.f64 x 2))
(.f64 x (.f64 x 1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(*.f64 -1/6 (pow.f64 x 3))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(-.f64 (+.f64 1 (*.f64 x -1/6)) 1)
(*.f64 -1/6 x)
(pow.f64 (*.f64 x -1/6) 1)
(*.f64 -1/6 x)
(pow.f64 (cbrt.f64 (*.f64 x -1/6)) 3)
(*.f64 -1/6 x)
(pow.f64 (sqrt.f64 (*.f64 x -1/6)) 2)
(*.f64 -1/6 x)
(pow.f64 (*.f64 (pow.f64 x 3) -1/216) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(sqrt.f64 (.f64 (.f64 x x) 1/36))
(sqrt.f64 (.f64 x (.f64 x 1/36)))
(log.f64 (pow.f64 (exp.f64 x) -1/6))
(*.f64 -1/6 x)
(cbrt.f64 (*.f64 (pow.f64 x 3) -1/216))
(expm1.f64 (log1p.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(log1p.f64 (expm1.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(exp.f64 (log.f64 (*.f64 x -1/6)))
(*.f64 -1/6 x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 1/2 x) x))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(+.f64 (.f64 (.f64 1/2 x) x) (*.f64 -1/6 (pow.f64 x 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) 1) (.f64 (.f64 (*.f64 1/2 x) x) 1))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(-.f64 (+.f64 1 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(/.f64 (+.f64 (pow.f64 (.f64 -1/6 (pow.f64 x 3)) 3) (pow.f64 (.f64 (.f64 1/2 x) x) 3)) (+.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (-.f64 (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x)) (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 1/2 x) x)))))
(/.f64 (+.f64 (.f64 -1/216 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (.f64 x (.f64 x 1/2)) 3)) (+.f64 (.f64 1/36 (pow.f64 (.f64 x x) 3)) (.f64 (.f64 x (.f64 x 1/2)) (-.f64 (.f64 x (.f64 x 1/2)) (*.f64 -1/6 (pow.f64 x 3))))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (.f64 1/8 (pow.f64 x 6))) (+.f64 (fma.f64 1/36 (pow.f64 x 6) (.f64 1/4 (pow.f64 x 4))) (.f64 1/6 (.f64 (pow.f64 x 4) (*.f64 x 1/2)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (.f64 1/8 (pow.f64 x 6))) (fma.f64 1/36 (pow.f64 x 6) (fma.f64 1/6 (.f64 (.f64 x 1/2) (pow.f64 x 4)) (.f64 1/4 (pow.f64 x 4)))))
(/.f64 (fma.f64 -1/216 (pow.f64 (pow.f64 x 3) 3) (.f64 1/8 (pow.f64 x 6))) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 -1/6 (.f64 (pow.f64 x 5) -1/2) (*.f64 1/36 (pow.f64 x 6)))))
(/.f64 (-.f64 (.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 -1/6 (pow.f64 x 3))) (.f64 (.f64 (.f64 1/2 x) x) (.f64 (.f64 1/2 x) x))) (-.f64 (.f64 -1/6 (pow.f64 x 3)) (.f64 (*.f64 1/2 x) x)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(/.f64 (.f64 (+.f64 1/8 (.f64 (pow.f64 x 3) -1/216)) (.f64 x x)) (+.f64 (.f64 (.f64 x x) 1/36) (-.f64 1/4 (.f64 x -1/12))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 3) -1/216) 1/8)) (fma.f64 (.f64 x x) 1/36 (-.f64 1/4 (*.f64 x -1/12))))
(.f64 (/.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 x x) 1/36 1/4) (.f64 x 1/12))) (fma.f64 (pow.f64 x 3) -1/216 1/8))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 3) -1/216 1/8) (fma.f64 x (*.f64 x 1/36) (fma.f64 x 1/12 1/4))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x x) 1/36) -1/4) (.f64 x x)) (fma.f64 x -1/6 -1/2))
(/.f64 (.f64 x x) (/.f64 (fma.f64 x -1/6 -1/2) (fma.f64 (.f64 x x) 1/36 -1/4)))
(.f64 (/.f64 (.f64 x x) (fma.f64 -1/6 x -1/2)) (fma.f64 x (*.f64 x 1/36) -1/4))
(.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x 1/36) -1/4) (fma.f64 -1/6 x -1/2)))
(/.f64 (.f64 (.f64 x x) (+.f64 1/8 (.f64 (pow.f64 x 3) -1/216))) (+.f64 (.f64 (.f64 x x) 1/36) (-.f64 1/4 (.f64 x -1/12))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (pow.f64 x 3) -1/216) 1/8)) (fma.f64 (.f64 x x) 1/36 (-.f64 1/4 (*.f64 x -1/12))))
(.f64 (/.f64 (.f64 x x) (+.f64 (fma.f64 (.f64 x x) 1/36 1/4) (.f64 x 1/12))) (fma.f64 (pow.f64 x 3) -1/216 1/8))
(.f64 (.f64 x x) (/.f64 (fma.f64 (pow.f64 x 3) -1/216 1/8) (fma.f64 x (*.f64 x 1/36) (fma.f64 x 1/12 1/4))))
(/.f64 (.f64 (.f64 x x) (+.f64 (.f64 (.f64 x x) 1/36) -1/4)) (fma.f64 x -1/6 -1/2))
(/.f64 (.f64 x x) (/.f64 (fma.f64 x -1/6 -1/2) (fma.f64 (.f64 x x) 1/36 -1/4)))
(.f64 (/.f64 (.f64 x x) (fma.f64 -1/6 x -1/2)) (fma.f64 x (*.f64 x 1/36) -1/4))
(.f64 (.f64 x x) (/.f64 (fma.f64 x (*.f64 x 1/36) -1/4) (fma.f64 -1/6 x -1/2)))
(pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2))) 1)
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(pow.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2))) 3) 1/3)
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))) 3)
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(pow.f64 (*.f64 x (sqrt.f64 (fma.f64 x -1/6 1/2))) 2)
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(sqrt.f64 (*.f64 (pow.f64 x 4) (pow.f64 (fma.f64 x -1/6 1/2) 2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) (fma.f64 x -1/6 1/2)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(cbrt.f64 (pow.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2))) 3))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(cbrt.f64 (.f64 (pow.f64 (.f64 x x) 3) (pow.f64 (fma.f64 x -1/6 1/2) 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(cbrt.f64 (.f64 (pow.f64 (fma.f64 x -1/6 1/2) 3) (pow.f64 (.f64 x x) 3)))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(exp.f64 (log.f64 (.f64 x (.f64 x (fma.f64 x -1/6 1/2)))))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(fma.f64 (.f64 x -1/6) (.f64 x x) (.f64 (.f64 1/2 x) x))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))
(fma.f64 (.f64 x x) (.f64 x -1/6) (.f64 (.f64 1/2 x) x))
(fma.f64 -1/6 (pow.f64 x 3) (.f64 x (.f64 x 1/2)))
(.f64 x (.f64 x (fma.f64 -1/6 x 1/2)))
(.f64 (.f64 x x) (fma.f64 -1/6 x 1/2))

localize4.0ms (0.1%)

Compiler: Compiled 7 to 3 computations (57.1% saved)

eval66.0ms (0.9%)

Compiler: Compiled 1923 to 1302 computations (32.3% saved)

prune18.0ms (0.3%)

Pruning

10 alts after pruning (2 fresh and 8 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	7	7
Total	129	10	139

Error

Counts

139 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	60.2b	(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
✓	0.2b	(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
✓	30.8b	(+.f64 (+.f64 (*.f64 x x) 1) -1)
▶	0.2b	(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
✓	30.6b	(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
✓	0.3b	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
✓	0.7b	(*.f64 x x)
✓	60.2b	(neg.f64 x)
✓	60.0b	(expm1.f64 (neg.f64 x))

Compiler

Compiled 90 to 65 computations (27.8% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x))
✓	0.0b	(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
	0.0b	(*.f64 1/360 (pow.f64 x 6))
	0.1b	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 49 to 33 computations (32.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x))
0.0ms	x	@	inf	(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	-inf	(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
0.0ms	x	@	0	(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x))

rewrite67.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`fma-def_binary64`
558×	`log-prod_binary64`
337×	`pow2_binary64`
335×	`fma-neg_binary64`
227×	`pow1/3_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	296	29
2	3770	29

Stop Event

1×	node limit

Counts

2 → 159

Calls

Call 1

Inputs
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2) (+.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) (*.f64 -1/12 (pow.f64 x 4)))) (/.f64 (*.f64 (pow.f64 x 8) 1/144) (+.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3)) (/.f64 1 (fma.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2) (*.f64 (pow.f64 x 8) 1/144)) (/.f64 1 (+.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2)) (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) (*.f64 -1/12 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2) (*.f64 (pow.f64 x 8) 1/144))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3)) (fma.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3)) (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2) (*.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) (*.f64 1/12 (pow.f64 x 4))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2) (*.f64 (pow.f64 x 8) 1/144)) (+.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) (*.f64 -1/12 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3))) (neg.f64 (fma.f64 (*.f64 1/12 (pow.f64 x 4)) (-.f64 (*.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2) (*.f64 (pow.f64 x 8) 1/144))) (neg.f64 (+.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) (*.f64 -1/12 (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 3)) (fma.f64 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6) (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 6) 1/360 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 1/360 (pow.f64 x 6)) 1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x x) 1 (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 4) (*.f64 (*.f64 x x) 1/360) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 1/360 (pow.f64 x 6)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 x x) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 3) (*.f64 (pow.f64 x 3) 1/360) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 x x) (cbrt.f64 1/360)) (cbrt.f64 (*.f64 (pow.f64 x 12) 1/129600)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (pow.f64 x 12) 1/129600)) (*.f64 (*.f64 x x) (cbrt.f64 1/360)) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) x) (*.f64 1/360 (pow.f64 x 6)))))) (#(struct:change #<rule 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simplify78.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

594×	`distribute-rgt-in_binary64`
567×	`distribute-lft-in_binary64`
441×	`unswap-sqr_binary64`
364×	`cancel-sign-sub-inv_binary64`
260×	`fma-neg_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	334	3857
1	823	3802
2	2462	3766

Stop Event

1×	node limit

Counts

183 → 205

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(pow.f64 x 2)
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(+.f64 (*.f64 1/360 (pow.f64 x 6)) (pow.f64 x 2))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))) 1)
(-.f64 (/.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2) (+.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (.f64 -1/12 (pow.f64 x 4)))) (/.f64 (.f64 (pow.f64 x 8) 1/144) (+.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (.f64 -1/12 (pow.f64 x 4)))))
(.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) 1)
(.f64 1 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))
(.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 3)) (/.f64 1 (fma.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2))))
(.f64 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2) (.f64 (pow.f64 x 8) 1/144)) (/.f64 1 (+.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (*.f64 -1/12 (pow.f64 x 4)))))
(/.f64 1 (/.f64 (fma.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2)) (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3))))
(/.f64 1 (/.f64 (+.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (.f64 -1/12 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2) (.f64 (pow.f64 x 8) 1/144))))
(/.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 3)) (fma.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2)))
(/.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 3)) (fma.f64 (pow.f64 x 8) 1/144 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2) (.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2) (.f64 (pow.f64 x 8) 1/144)) (+.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (.f64 -1/12 (pow.f64 x 4))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 3))) (neg.f64 (fma.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2) (.f64 (pow.f64 x 8) 1/144))) (neg.f64 (+.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (.f64 -1/12 (pow.f64 x 4)))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 3)) (fma.f64 (pow.f64 x 12) 1/129600 (-.f64 (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2) (.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 2)) (-.f64 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 8) 1/144) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))))
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 1)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 3)
(pow.f64 (sqrt.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))) 2)
(pow.f64 (/.f64 (fma.f64 (.f64 1/12 (pow.f64 x 4)) (-.f64 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2)) (fma.f64 (pow.f64 x 12) 1/1728 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3))) -1)
(pow.f64 (/.f64 (+.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (.f64 -1/12 (pow.f64 x 4))) (-.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 2) (.f64 (pow.f64 x 8) 1/144))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 2))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/360 (pow.f64 x 6)))) (exp.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 1/360) (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/360 (pow.f64 x 6)))) (*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 1/12) (pow.f64 x 4)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))) (pow.f64 (exp.f64 1/12) (pow.f64 x 4))))
(log.f64 (.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))) (+.f64 1 (expm1.f64 (*.f64 1/12 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 (pow.f64 x 4)))) (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))))
(log.f64 (.f64 (pow.f64 (exp.f64 1/12) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))))
(log.f64 (.f64 (exp.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) (pow.f64 (exp.f64 (pow.f64 x 6)) 1/360)))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 1/12) (pow.f64 x 4))) (pow.f64 (exp.f64 (pow.f64 x 6)) 1/360)))
(log.f64 (.f64 (exp.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (exp.f64 1/12) (pow.f64 x 4))) (+.f64 1 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))) 1))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 6) 1/360 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 6) 1/360 (.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (.f64 1/360 (pow.f64 x 6)) 1 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (.f64 1/360 (pow.f64 x 6)) 1 (.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (.f64 x x) 1 (fma.f64 1/360 (pow.f64 x 6) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (.f64 x x) (.f64 (.f64 x x) 1/12) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))
(fma.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 1 (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) 1/12 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (pow.f64 x 4) (.f64 (.f64 x x) 1/360) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 4) (.f64 (.f64 x x) 1/360) (.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (.f64 1/12 (pow.f64 x 4)) 1 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))
(fma.f64 1 (.f64 1/360 (pow.f64 x 6)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1 (.f64 1/360 (pow.f64 x 6)) (.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 1 (.f64 x x) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1 (.f64 1/12 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))
(fma.f64 1 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/360) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/360) (.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (cbrt.f64 (pow.f64 x 8)) (.f64 (cbrt.f64 (pow.f64 x 4)) 1/12) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))
(fma.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 1/12 (pow.f64 x 4))) (cbrt.f64 (.f64 (pow.f64 x 8) 1/144)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 8) 1/144)) (cbrt.f64 (.f64 1/12 (pow.f64 x 4))) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/360)) (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/360)) (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 (.f64 x x) (cbrt.f64 1/360)) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 (.f64 x x) (cbrt.f64 1/360)) (.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (hypot.f64 x (.f64 (pow.f64 x 3) (sqrt.f64 1/360))) (hypot.f64 x (.f64 (pow.f64 x 3) (sqrt.f64 1/360))) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 1/12)) (.f64 (.f64 x x) (sqrt.f64 1/12)) (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 8)))) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (/.f64 1 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x)))) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) 2) (cbrt.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4)))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (hypot.f64 x (.f64 (.f64 x x) (sqrt.f64 1/12))) (hypot.f64 x (.f64 (.f64 x x) (sqrt.f64 1/12))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 8))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (.f64 1/12 (.f64 x x)) (.f64 x x) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))
(fma.f64 (.f64 1/12 (cbrt.f64 (pow.f64 x 8))) (cbrt.f64 (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))
(fma.f64 (.f64 1/360 (pow.f64 x 4)) (.f64 x x) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 (.f64 1/360 (pow.f64 x 4)) (.f64 x x) (.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (.f64 1/360 (pow.f64 x 3)) (pow.f64 x 3) (fma.f64 x x (.f64 1/12 (pow.f64 x 4))))
(fma.f64 (.f64 1/360 (pow.f64 x 3)) (pow.f64 x 3) (.f64 (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))) 1))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (fma.f64 1/360 (pow.f64 x 6) (.f64 1/12 (pow.f64 x 4))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 12) 1/129600) (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x)))) (/.f64 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (*.f64 x x)))))
(.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 1)
(.f64 1 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))
(.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(.f64 (hypot.f64 x (.f64 (pow.f64 x 3) (sqrt.f64 1/360))) (hypot.f64 x (*.f64 (pow.f64 x 3) (sqrt.f64 1/360))))
(.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 8)))))
(.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (/.f64 1 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (*.f64 x x)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 8))) (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6))))
(/.f64 1 (/.f64 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x))) (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 8))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 12) 1/129600) (.f64 1/360 (pow.f64 x 8)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x))))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 8)))))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4))) (neg.f64 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x)))))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 12) 1/129600)) (-.f64 (.f64 x x) (*.f64 1/360 (pow.f64 x 6))))
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 1)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) 3)
(pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 3) (sqrt.f64 1/360))) 2)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3) 1/3)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 8))) (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6))) -1)
(pow.f64 (/.f64 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x))) (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/360 (pow.f64 x 6)))) (pow.f64 (exp.f64 x) x)))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 1/360) (+.f64 1 (expm1.f64 (.f64 x x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/360 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 x x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (pow.f64 (exp.f64 (pow.f64 x 6)) 1/360)))
(log.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (.f64 1/360 (pow.f64 x 6))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(exp.f64 (.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) 1))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 6) 1/360 (*.f64 x x))
(fma.f64 (.f64 1/360 (pow.f64 x 6)) 1 (.f64 x x))
(fma.f64 (.f64 x x) 1 (.f64 1/360 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 4) (.f64 (.f64 x x) 1/360) (*.f64 x x))
(fma.f64 1 (.f64 1/360 (pow.f64 x 6)) (.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/360) (.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/360)) (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 x x))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 (.f64 x x) (cbrt.f64 1/360)) (.f64 x x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 8))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (.f64 1/360 (pow.f64 x 4)) (.f64 x x) (*.f64 x x))
(fma.f64 (.f64 1/360 (pow.f64 x 3)) (pow.f64 x 3) (.f64 x x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/360 (pow.f64 x 6)))

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6)))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(*.f64 1/360 (pow.f64 x 6))
(+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 1/12 (pow.f64 x 4)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4)))
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(fma.f64 x x (fma.f64 1/360 (pow.f64 x 6) (*.f64 1/12 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/12 (pow.f64 x 4) (*.f64 1/360 (pow.f64 x 6))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))) 1)
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(-.f64 (/.f64 (.f64 (pow.f64 x 12) 1/129600) (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x)))) (/.f64 (pow.f64 x 4) (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/129600 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) -1/360 (*.f64 x x)))
(.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)) 1)
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(.f64 1 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) 2))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) 2) (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(.f64 (hypot.f64 x (.f64 (pow.f64 x 3) (sqrt.f64 1/360))) (hypot.f64 x (*.f64 (pow.f64 x 3) (sqrt.f64 1/360))))
(pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 3) (sqrt.f64 1/360))) 2)
(.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 1/360 (pow.f64 x 8)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) 1) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 8))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 12) 1/129600 (*.f64 (pow.f64 x 8) -1/360))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) -1/360)))
(.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (/.f64 1 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (*.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/129600 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) -1/360 (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 8))) (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) 1) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 8))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 12) 1/129600 (*.f64 (pow.f64 x 8) -1/360))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) -1/360)))
(/.f64 1 (/.f64 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x))) (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/129600 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) -1/360 (*.f64 x x)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 8))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) 1) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 8))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 12) 1/129600 (*.f64 (pow.f64 x 8) -1/360))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) -1/360)))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (-.f64 (.f64 (pow.f64 x 12) 1/129600) (.f64 1/360 (pow.f64 x 8)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) 1) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 8))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 12) 1/129600 (*.f64 (pow.f64 x 8) -1/360))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) -1/360)))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/129600 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) -1/360 (*.f64 x x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 8)))))
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) 1) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 8))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 12) 1/129600 (*.f64 (pow.f64 x 8) -1/360))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) -1/360)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4))) (neg.f64 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/129600 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) -1/360 (*.f64 x x)))
(/.f64 (-.f64 (pow.f64 x 4) (.f64 (pow.f64 x 12) 1/129600)) (-.f64 (.f64 x x) (*.f64 1/360 (pow.f64 x 6))))
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/129600 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) -1/360 (*.f64 x x)))
(pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 1)
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2) 1/2)
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(pow.f64 (cbrt.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))) 3)
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(pow.f64 (hypot.f64 x (*.f64 (pow.f64 x 3) (sqrt.f64 1/360))) 2)
(pow.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3) 1/3)
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 8))) (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6))) -1)
(/.f64 (.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) 1) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (.f64 -1/360 (pow.f64 x 8))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 12) 1/129600 (*.f64 (pow.f64 x 8) -1/360))))
(/.f64 (fma.f64 (pow.f64 (pow.f64 x 6) 3) 1/46656000 (pow.f64 x 6)) (+.f64 (fma.f64 (pow.f64 x 12) 1/129600 (pow.f64 x 4)) (*.f64 (pow.f64 x 8) -1/360)))
(pow.f64 (/.f64 (fma.f64 1/360 (pow.f64 x 6) (neg.f64 (.f64 x x))) (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4))) -1)
(/.f64 (-.f64 (.f64 (pow.f64 x 12) 1/129600) (pow.f64 x 4)) (fma.f64 1/360 (pow.f64 x 6) (.f64 x (neg.f64 x))))
(/.f64 (fma.f64 (pow.f64 x 12) -1/129600 (pow.f64 x 4)) (fma.f64 (pow.f64 x 6) -1/360 (*.f64 x x)))
(sqrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 2))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log.f64 (exp.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/360 (pow.f64 x 6)))) (pow.f64 (exp.f64 x) x)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log.f64 (.f64 (pow.f64 (exp.f64 (pow.f64 x 6)) 1/360) (+.f64 1 (expm1.f64 (.f64 x x)))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/360 (pow.f64 x 6)))) (+.f64 1 (expm1.f64 (*.f64 x x)))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (pow.f64 (exp.f64 (pow.f64 x 6)) 1/360)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log.f64 (.f64 (pow.f64 (exp.f64 x) x) (+.f64 1 (expm1.f64 (.f64 1/360 (pow.f64 x 6))))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 x x))) (+.f64 1 (expm1.f64 (*.f64 1/360 (pow.f64 x 6))))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(cbrt.f64 (pow.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x)) 3))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(expm1.f64 (log1p.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(log1p.f64 (expm1.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(exp.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(exp.f64 (.f64 (log.f64 (fma.f64 1/360 (pow.f64 x 6) (.f64 x x))) 1))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (pow.f64 x 6) 1/360 (*.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (.f64 1/360 (pow.f64 x 6)) 1 (.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (.f64 x x) 1 (.f64 1/360 (pow.f64 x 6)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (pow.f64 x 4) (.f64 (.f64 x x) 1/360) (*.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 1 (.f64 1/360 (pow.f64 x 6)) (.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 1 (.f64 x x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (pow.f64 x 3) (.f64 (pow.f64 x 3) 1/360) (.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (.f64 (.f64 x x) (cbrt.f64 1/360)) (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (cbrt.f64 1/360))) (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 x x))
(.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (cbrt.f64 1/360)) 1))
(fma.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 (.f64 x x) (cbrt.f64 1/360)) (.f64 x x))
(fma.f64 (.f64 x (.f64 x (cbrt.f64 1/360))) (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (.f64 x x))
(.f64 (.f64 x x) (+.f64 (.f64 (cbrt.f64 (.f64 (pow.f64 x 12) 1/129600)) (cbrt.f64 1/360)) 1))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 (pow.f64 x 4)) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (.f64 (pow.f64 x 3) (sqrt.f64 1/360)) (*.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (.f64 x (sqrt.f64 x)) (sqrt.f64 x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (sqrt.f64 (cbrt.f64 (pow.f64 x 8))) (sqrt.f64 (cbrt.f64 (pow.f64 x 4))) (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 (.f64 1/360 (pow.f64 x 4)) (.f64 x x) (*.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (.f64 1/360 (pow.f64 x 3)) (pow.f64 x 3) (.f64 x x))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))
(fma.f64 (.f64 x (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 x x (*.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (*.f64 x x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(*.f64 1/12 (pow.f64 x 4))

Compiler

Compiled 20 to 14 computations (30% saved)

eval176.0ms (2.5%)

Compiler: Compiled 5162 to 3671 computations (28.9% saved)

prune35.0ms (0.5%)

Pruning

10 alts after pruning (0 fresh and 10 done)

	Pruned	Kept	Total
New	247	0	247
Fresh	0	0	0
Picked	0	1	1
Done	0	9	9
Total	247	10	257

Error

Counts

257 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
✓	60.2b	(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
✓	0.2b	(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
✓	30.8b	(+.f64 (+.f64 (*.f64 x x) 1) -1)
✓	0.2b	(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
✓	30.6b	(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
✓	0.3b	(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
✓	0.7b	(*.f64 x x)
✓	60.2b	(neg.f64 x)
✓	60.0b	(expm1.f64 (neg.f64 x))

Compiler

Compiled 90 to 65 computations (27.8% saved)

regimes15.0ms (0.2%)

Counts

16 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) 1) -1)
(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
(expm1.f64 (neg.f64 x))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(fma.f64 1/360 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4))))
(fma.f64 1/360 (pow.f64 x 6) (fma.f64 x x (*.f64 1/12 (pow.f64 x 4))))

Outputs
(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))

Calls

2 calls:

9.0ms	x
3.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 148 to 90 computations (39.2% saved)

regimes13.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) 1) -1)
(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
(expm1.f64 (neg.f64 x))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))

Outputs
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))

Calls

2 calls:

7.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 107 to 62 computations (42.1% saved)

regimes12.0ms (0.2%)

Counts

12 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) 1) -1)
(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
(expm1.f64 (neg.f64 x))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))

Outputs
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))

Calls

2 calls:

7.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 92 to 52 computations (43.5% saved)

regimes26.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) 1) -1)
(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
(expm1.f64 (neg.f64 x))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(+.f64 -2 (+.f64 (exp.f64 x) (exp.f64 (neg.f64 x))))
(+.f64 (exp.f64 x) (+.f64 (exp.f64 (neg.f64 x)) -2))
(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Outputs
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))

Calls

2 calls:

22.0ms	x
2.0ms	(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`(+.f64 (-.f64 (exp.f64 x) 2) (exp.f64 (neg.f64 x)))`

Compiler

Compiled 84 to 47 computations (44% saved)

regimes6.0ms (0.1%)

Accuracy

Total -59.8b remaining (-8024%)

Threshold costs -59.8b (-8024%)

Counts

7 → 1

Calls

Call 1

Inputs
(neg.f64 x)
(*.f64 x x)
(+.f64 (+.f64 (*.f64 x x) 1) -1)
(-.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x -1/6) 1/2)) x)
(expm1.f64 (neg.f64 x))
(+.f64 -1 (exp.f64 (neg.f64 x)))
(+.f64 (+.f64 -1 (*.f64 2 (cosh.f64 x))) -1)

Outputs
(*.f64 x x)

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.7b	1	`x`

Compiler

Compiled 42 to 25 computations (40.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	73
1	27	73
2	29	73
3	30	73

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(*.f64 x x)
(neg.f64 x)

Outputs
(+.f64 (fma.f64 x x (.f64 1/12 (pow.f64 x 4))) (.f64 1/360 (pow.f64 x 6)))
(+.f64 (+.f64 (.f64 1/360 (pow.f64 x 6)) (.f64 x x)) (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (+.f64 (.f64 1/360 (pow.f64 x 6)) (*.f64 x x)))
(fma.f64 x x (*.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 x x) (.f64 1/12 (pow.f64 x 4)))
(+.f64 (.f64 1/12 (pow.f64 x 4)) (.f64 x x))
(*.f64 x x)
(neg.f64 x)

Compiler

Compiled 57 to 40 computations (29.8% saved)

soundness223.0ms (3.2%)

Algorithm

2×	egg-herbie

Rules

801×	`associate-/l*_binary64`
743×	`associate-*l/_binary64`
624×	`fma-def_binary64`
590×	`distribute-rgt-in_binary64`
581×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	20	13
2	36	13
3	60	13
4	122	13
5	273	13
6	709	13
7	1729	13
8	3145	13
9	7605	13
0	66	344
1	184	332
2	605	325
3	2639	223

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 108 to 84 computations (22.2% saved)

end69.0ms (1%)

Compiler: Compiled 52 to 33 computations (36.5% saved)

Details

analyze4.0ms (0%)

sample4.6s (65.9%)

preprocess61.0ms (0.9%)

simplify53.0ms (0.7%)

eval1.0ms (0%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite55.0ms (0.8%)

simplify36.0ms (0.5%)

localize19.0ms (0.3%)

series2.0ms (0%)

rewrite71.0ms (1%)

simplify61.0ms (0.9%)

localize9.0ms (0.1%)

series35.0ms (0.5%)

rewrite51.0ms (0.7%)

simplify72.0ms (1%)

eval77.0ms (1.1%)

prune38.0ms (0.5%)

localize21.0ms (0.3%)

series3.0ms (0%)

rewrite50.0ms (0.7%)

simplify46.0ms (0.7%)

localize2.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite37.0ms (0.5%)

simplify44.0ms (0.6%)

localize9.0ms (0.1%)

series4.0ms (0.1%)

rewrite50.0ms (0.7%)

simplify44.0ms (0.6%)

localize9.0ms (0.1%)

series1.0ms (0%)

rewrite43.0ms (0.6%)

simplify52.0ms (0.7%)

eval88.0ms (1.2%)

prune54.0ms (0.8%)

localize19.0ms (0.3%)

series1.0ms (0%)

rewrite36.0ms (0.5%)

simplify53.0ms (0.8%)

localize2.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (0.7%)

simplify41.0ms (0.6%)

localize12.0ms (0.2%)

series4.0ms (0.1%)

rewrite68.0ms (1%)

simplify49.0ms (0.7%)

localize4.0ms (0.1%)

eval66.0ms (0.9%)

prune18.0ms (0.3%)

localize19.0ms (0.3%)

series2.0ms (0%)

rewrite67.0ms (0.9%)

simplify78.0ms (1.1%)

localize9.0ms (0.1%)

eval176.0ms (2.5%)

prune35.0ms (0.5%)

regimes15.0ms (0.2%)

regimes13.0ms (0.2%)

regimes12.0ms (0.2%)

regimes26.0ms (0.4%)

regimes6.0ms (0.1%)

simplify5.0ms (0.1%)

soundness223.0ms (3.2%)

end69.0ms (1%)

Profiling