Metrics for expq2 (section 3.11)

analyze236.0ms (6.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	75.2%	24.8%	0%	0%	0%	0
0%	0%	75.2%	24.8%	0%	0%	0%	1
0%	0%	75.2%	24.8%	0%	0%	0%	2
25%	18.8%	56.4%	24.8%	0%	0%	0%	3
25%	18.8%	56.4%	24.8%	0%	0%	0%	4
31.3%	23.5%	51.7%	24.8%	0%	0%	0%	5
37.5%	28.2%	47%	24.8%	0%	0%	0%	6
39.1%	29.4%	45.8%	24.8%	0%	0%	0%	7
40.6%	30.5%	44.6%	24.8%	0%	0%	0%	8
41.4%	31.1%	44.1%	24.8%	0%	0%	0%	9
41.6%	31.3%	43.9%	24.8%	0%	0%	0%	10
41.8%	31.4%	43.8%	24.8%	0%	0%	0%	11
41.8%	31.4%	43.8%	24.8%	0%	0%	0%	12

Compiler

Compiled 11 to 7 computations (36.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 67.0ms

Operation ival-exp, time spent: 20.0ms, 30.0% of total-time

Operation ival-sub, time spent: 17.0ms, 25.0% of total-time

Operation ival->, time spent: 15.0ms, 22.0% of total-time

Operation ival-div, time spent: 9.0ms, 13.0% of total-time

Operation const, time spent: 6.0ms, 9.0% of total-time

sample2.5s (63.5%)

Results

1.4s	3108×	body	2	valid
598.0ms	3986×	body	0	valid
275.0ms	422×	body	3	valid
212.0ms	738×	body	1	valid
1.0ms	2×	body	3	infinite

Precisions

Click to see histograms. Total time spent on operations: 1.2s

Operation ival-exp, time spent: 486.0ms, 40.0% of total-time

Operation ival-sub, time spent: 433.0ms, 35.0% of total-time

Operation ival-div, time spent: 144.0ms, 12.0% of total-time

Operation ival->, time spent: 102.0ms, 8.0% of total-time

Operation const, time spent: 59.0ms, 5.0% of total-time

Bogosity

preprocess171.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

1256×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
778×	`times-frac`
652×	`distribute-lft-neg-in`

Problems

172×	`(-.f64 (exp.f64 x) 1)`
84×	No Errors

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	46	102
3	68	102
4	135	82
5	439	82
6	2248	82
7	4558	78

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1))
(/.f64 (exp.f64 (neg.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 1 (-.f64 1 (exp.f64 x)))
(/.f64 1 (neg.f64 (expm1.f64 x)))
(neg.f64 (/.f64 (exp.f64 (neg.f64 x)) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(/.f64 (neg.f64 (exp.f64 (neg.f64 x))) (expm1.f64 (neg.f64 x)))
(/.f64 (/.f64 -1 (exp.f64 x)) (expm1.f64 (neg.f64 x)))
(/.f64 -1 (*.f64 (exp.f64 x) (expm1.f64 (neg.f64 x))))
(/.f64 -1 (-.f64 1 (exp.f64 x)))
(/.f64 -1 (neg.f64 (expm1.f64 x)))

Compiler

Compiled 25 to 14 computations (44% saved)

Precisions

Click to see histograms. Total time spent on operations: 44.0ms

Operation ival-sub, time spent: 22.0ms, 50.0% of total-time

Operation ival-exp, time spent: 13.0ms, 30.0% of total-time

Operation ival-div, time spent: 6.0ms, 14.0% of total-time

Operation const, time spent: 3.0ms, 7.0% of total-time

eval0.0ms (0%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))
▶	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

localize34.0ms (0.9%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(/.f64 (exp.f64 x) (expm1.f64 x))

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-exp, time spent: 3.0ms, 37.0% of total-time

Operation ival-div, time spent: 2.0ms, 25.0% of total-time

Operation ival-expm1, time spent: 2.0ms, 25.0% of total-time

Operation const, time spent: 1.0ms, 12.0% of total-time

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (exp.f64 x) (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (exp.f64 x) (expm1.f64 x))
0.0ms	x	@	0	(/.f64 (exp.f64 x) (expm1.f64 x))

rewrite179.0ms (4.6%)

Algorithm

1×	batch-egg-rewrite

Rules

604×	`unpow-prod-down`
430×	`log-prod`
420×	`cbrt-prod`
391×	`log1p-expm1-u`
390×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	85	21
2	1067	21

Stop Event

1×	node limit

Counts

1 → 62

Calls

Call 1

Inputs
(/.f64 (exp.f64 x) (expm1.f64 x))

Outputs
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

simplify82.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

862×	`times-frac`
636×	`div-sub`
548×	`associate-/l*`
518×	`fma-def`
518×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2362
1	523	2266
2	1408	2220
3	5548	1957

Stop Event

1×	node limit

Counts

74 → 103

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))

Outputs
(/.f64 1 x)
(+.f64 1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
(+.f64 1/2 (fma.f64 1/12 x (/.f64 1 x)))
(+.f64 1/2 (fma.f64 x 1/12 (/.f64 1 x)))
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))))
(+.f64 1/2 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 x 1/12 (/.f64 1 x))))
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 -1/720 (pow.f64 x 3) 1/2))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 0 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(-.f64 (+.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x))) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (exp.f64 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 1 (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (.f64 (cbrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2)))
(*.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2)))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (/.f64 1 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (exp.f64 x))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) (pow.f64 (exp.f64 (neg.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 (exp.f64 x) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (exp.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (pow.f64 (expm1.f64 x) -1/2) (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)))
(/.f64 (exp.f64 x) (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (exp.f64 x) (expm1.f64 x)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3/2) 1/6) 4)
(.f64 (pow.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x)) 1/3) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2) 1/3) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -1/2)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2)))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (pow.f64 (cbrt.f64 (-.f64 1 (exp.f64 (neg.f64 x)))) 2))
(/.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (pow.f64 (cbrt.f64 (neg.f64 (expm1.f64 (neg.f64 x)))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) -2) -1) (pow.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) -1/2) -1) (pow.f64 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (exp.f64 x) -1/2)) (/.f64 1 (/.f64 (expm1.f64 x) (sqrt.f64 (exp.f64 x)))))
(/.f64 (*.f64 1 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x))) (pow.f64 (exp.f64 x) -1/2))
(/.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (expm1.f64 x)) (pow.f64 (exp.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))) -1) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2)))))
(/.f64 (*.f64 1 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) (pow.f64 (exp.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) (cbrt.f64 (/.f64 1 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 2))))
(/.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) (cbrt.f64 (/.f64 1 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (exp.f64 x)) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (exp.f64 x))) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))) (cbrt.f64 (sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3/2)))
(pow.f64 (pow.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3/2) 1/6) 4)
(.f64 (cbrt.f64 (.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) (exp.f64 x))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (cbrt.f64 (*.f64 (exp.f64 x) (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -2))) (cbrt.f64 (expm1.f64 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x)))) 8)) (cbrt.f64 (cbrt.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 5/2)) (cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 -1 (expm1.f64 (neg.f64 x))) 5/2)) (cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -1/2)))
(pow.f64 (/.f64 (exp.f64 x) (expm1.f64 x)) 1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 x) (expm1.f64 x))) 3)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2) 1/2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3) 1/3)
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(pow.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1/2) 2)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (E.f64) (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 (neg.f64 x))) 1) -1)
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))) 2)) (cbrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x))))) (sqrt.f64 (-.f64 x (log.f64 (expm1.f64 x)))))
(neg.f64 (/.f64 (exp.f64 x) (neg.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(log.f64 (exp.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 1 (exp.f64 (neg.f64 x))) -3))
(cbrt.f64 (pow.f64 (neg.f64 (expm1.f64 (neg.f64 x))) -3))
(cbrt.f64 (/.f64 (pow.f64 (neg.f64 (exp.f64 x)) 3) (pow.f64 (neg.f64 (expm1.f64 x)) 3)))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (-.f64 x (log.f64 (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (-.f64 x (log.f64 (expm1.f64 x)))) 3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 3 (-.f64 x (log.f64 (expm1.f64 x)))) 1/3))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (-.f64 x (log.f64 (expm1.f64 x)))) 2))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(exp.f64 (*.f64 (-.f64 (log.f64 (expm1.f64 x)) x) -1))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 x) (expm1.f64 x))))
(/.f64 (exp.f64 x) (expm1.f64 x))
(/.f64 -1 (expm1.f64 (neg.f64 x)))

eval23.0ms (0.6%)

Compiler: Compiled 1310 to 613 computations (53.2% saved)

prune15.0ms (0.4%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	99	4	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	100	4	104

Accuracy

100.0%

Counts

104 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	68.5%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	67.9%	(+.f64 (/.f64 1 x) 1/2)
▶	68.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))
▶	68.5%	(/.f64 1 x)
▶	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
▶	67.9%	(+.f64 (/.f64 1 x) 1/2)
▶	68.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 52 to 42 computations (19.2% saved)

localize153.0ms (4%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
✓	99.5%	(*.f64 1/12 x)

Compiler

Compiled 56 to 37 computations (33.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 65.0ms

Operation ival-add, time spent: 24.0ms, 37.0% of total-time

Operation ival-div, time spent: 20.0ms, 31.0% of total-time

Operation ival-mult, time spent: 9.0ms, 14.0% of total-time

Operation const, time spent: 6.0ms, 9.0% of total-time

Operation ival-expm1, time spent: 3.0ms, 5.0% of total-time

Operation ival-neg, time spent: 2.0ms, 3.0% of total-time

series2.0ms (0.1%)

Counts

2 → 3

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 1/12 x)
0.0ms	x	@	-inf	(*.f64 1/12 x)
0.0ms	x	@	0	(*.f64 1/12 x)
0.0ms	x	@	0	(+.f64 (*.f64 1/12 x) (/.f64 1 x))
0.0ms	x	@	-inf	(+.f64 (*.f64 1/12 x) (/.f64 1 x))

rewrite79.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`prod-diff`
828×	`unpow-prod-down`
512×	`log1p-expm1-u`
512×	`expm1-log1p-u`
492×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	31
1	110	31
2	1453	31

Stop Event

1×	node limit

Counts

2 → 90

Calls

Call 1

Inputs
(*.f64 1/12 x)
(+.f64 (*.f64 1/12 x) (/.f64 1 x))

Outputs
(+.f64 0 (*.f64 1/12 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/144) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/12 x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/12 x))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/12 x)) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/12 x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/12 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/144) (-.f64 (.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)) 1))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2) 3) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 1/12 x (/.f64 1 x)) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (*.f64 1/12 x) 1 (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/12 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 1/12 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 1/12 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))

simplify80.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

950×	`div-sub`
830×	`fma-def`
672×	`log-prod`
562×	`unswap-sqr`
532×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	223	2531
1	524	2410
2	1462	2372
3	5558	2372

Stop Event

1×	node limit

Counts

93 → 104

Calls

Call 1

Inputs
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 1/12 x)
(+.f64 0 (*.f64 1/12 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(pow.f64 (*.f64 1/12 x) 1)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(pow.f64 (*.f64 (pow.f64 x 2) 1/144) 1/2)
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(exp.f64 (log.f64 (*.f64 1/12 x)))
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/12 x)) 1) 1))
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/12 x))) 3))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/12 x)) 3) 1/3))
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/12 x))) 1/3))
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/12 x))) 2))
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/144) (-.f64 (.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)) 1))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))) 1))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/12 x (/.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2) 3) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 1/12 x (/.f64 1 x)) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (.f64 1/12 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) -1)
(pow.f64 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (exp.f64 (/.f64 1 x))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) 1/12)))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (*.f64 1/12 x) 1 (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/12 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 1/12 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 1/12 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))

Outputs
(/.f64 1 x)
(*.f64 1/12 x)
(*.f64 x 1/12)
(*.f64 1/12 x)
(*.f64 x 1/12)
(+.f64 0 (*.f64 1/12 x))
(*.f64 x 1/12)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12)))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/12) x))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 x) 1/12))))
(*.f64 x 1/12)
(-.f64 (exp.f64 (log1p.f64 (*.f64 1/12 x))) 1)
(*.f64 x 1/12)
(pow.f64 (*.f64 1/12 x) 1)
(*.f64 x 1/12)
(pow.f64 (cbrt.f64 (*.f64 1/12 x)) 3)
(*.f64 x 1/12)
(pow.f64 (*.f64 (pow.f64 x 2) 1/144) 1/2)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(pow.f64 (*.f64 (pow.f64 x 3) 1/1728) 1/3)
(*.f64 x 1/12)
(pow.f64 (sqrt.f64 (*.f64 1/12 x)) 2)
(*.f64 x 1/12)
(sqrt.f64 (*.f64 (pow.f64 x 2) 1/144))
(log.f64 (pow.f64 (exp.f64 x) 1/12))
(*.f64 x 1/12)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 1/12 x))))
(*.f64 x 1/12)
(cbrt.f64 (*.f64 (pow.f64 x 3) 1/1728))
(*.f64 x 1/12)
(expm1.f64 (log1p.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (log.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (.f64 1/12 x)) 1))
(*.f64 x 1/12)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/12 x)) 1) 1))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/12 x))) 3))
(*.f64 x 1/12)
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 1/12 x)) 3) 1/3))
(*.f64 x 1/12)
(exp.f64 (.f64 (.f64 3 (log.f64 (*.f64 1/12 x))) 1/3))
(*.f64 x 1/12)
(exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/12 x))) 2))
(*.f64 x 1/12)
(log1p.f64 (expm1.f64 (*.f64 1/12 x)))
(*.f64 x 1/12)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(-.f64 (/.f64 (.f64 (pow.f64 x 2) 1/144) (-.f64 (.f64 1/12 x) (/.f64 1 x))) (/.f64 (pow.f64 x -2) (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (neg.f64 (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(*.f64 1 (fma.f64 1/12 x (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 1/12 x (/.f64 1 x)) (log.f64 (exp.f64 1)))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (pow.f64 (/.f64 1 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)) 1))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (neg.f64 (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (pow.f64 (/.f64 1 (-.f64 (*.f64 1/12 x) (/.f64 1 x))) 1))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (neg.f64 (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(*.f64 (pow.f64 1 1/3) (fma.f64 1/12 x (/.f64 1 x)))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2) 3) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3))
(fma.f64 x 1/12 (/.f64 1 x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3)) 1/3))
(fma.f64 x 1/12 (/.f64 1 x))
(.f64 (pow.f64 (pow.f64 (.f64 (fma.f64 1/12 x (/.f64 1 x)) (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (.f64 (fma.f64 x 1/12 (/.f64 1 x)) (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 4) 2)))
(*.f64 (cbrt.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x 1/12 (/.f64 1 x))) 8)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x 1/12 (/.f64 1 x)) 5/2)) (cbrt.f64 (sqrt.f64 (fma.f64 x 1/12 (/.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 1 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (neg.f64 (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) -1/12)))
(/.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (-.f64 (.f64 1/12 x) (/.f64 1 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (neg.f64 (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(/.f64 (neg.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) (neg.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12)))
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(/.f64 (neg.f64 (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) (neg.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (neg.f64 (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(/.f64 (-.f64 (pow.f64 x -2) (.f64 (pow.f64 x 2) 1/144)) (-.f64 (/.f64 1 x) (.f64 1/12 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (neg.f64 (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 1)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 3)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2) 1/2)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3) 1/3)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x))) 2)
(fma.f64 x 1/12 (/.f64 1 x))
(pow.f64 (/.f64 (-.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) 1/12) (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3))) -1)
(*.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (/.f64 1 (+.f64 (fma.f64 (pow.f64 x 2) 1/144 (pow.f64 x -2)) -1/12)))
(/.f64 (fma.f64 (pow.f64 x 3) 1/1728 (pow.f64 x -3)) (+.f64 (pow.f64 x -2) (fma.f64 (pow.f64 x 2) 1/144 -1/12)))
(pow.f64 (/.f64 (-.f64 (.f64 1/12 x) (/.f64 1 x)) (-.f64 (.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2))) -1)
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 1/12 x (neg.f64 (/.f64 1 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 x 2) 1/144) (pow.f64 x -2)) (fma.f64 x 1/12 (/.f64 -1 x)))
(/.f64 (fma.f64 (pow.f64 x 2) -1/144 (pow.f64 x -2)) (fma.f64 x -1/12 (/.f64 1 x)))
(sqrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (exp.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x)))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (*.f64 (pow.f64 (exp.f64 x) 1/12) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (exp.f64 (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 1/12 x))) (+.f64 1 (expm1.f64 (/.f64 1 x)))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (.f64 (exp.f64 (/.f64 1 x)) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (pow.f64 (exp.f64 x) 1/12)))
(fma.f64 x 1/12 (/.f64 1 x))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (/.f64 1 x))) (+.f64 1 (expm1.f64 (.f64 1/12 x)))))
(fma.f64 x 1/12 (/.f64 1 x))
(cbrt.f64 (pow.f64 (fma.f64 1/12 x (/.f64 1 x)) 3))
(fma.f64 x 1/12 (/.f64 1 x))
(expm1.f64 (log1p.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (.f64 (.f64 (log.f64 (fma.f64 1/12 x (/.f64 1 x))) 1) 1))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 3))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (fma.f64 1/12 x (/.f64 1 x)))) 1/3))
(fma.f64 x 1/12 (/.f64 1 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 1/12 x (/.f64 1 x)))) 2))
(fma.f64 x 1/12 (/.f64 1 x))
(log1p.f64 (expm1.f64 (fma.f64 1/12 x (/.f64 1 x))))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1/12 x (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (*.f64 1/12 x) 1 (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (*.f64 1/12 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 1 (/.f64 1 x) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (/.f64 1 x) 1 (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 -1 (/.f64 1 (neg.f64 x)) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) -2) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 1 (cbrt.f64 x)) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (cbrt.f64 (.f64 1/12 x)) (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (.f64 1/12 x)) 2) (cbrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) (*.f64 1/12 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (sqrt.f64 (.f64 1/12 x)) (sqrt.f64 (.f64 1/12 x)) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) 1/12) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (*.f64 1/12 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))
(fma.f64 (*.f64 1/12 (sqrt.f64 x)) (sqrt.f64 x) (/.f64 1 x))
(fma.f64 x 1/12 (/.f64 1 x))

eval45.0ms (1.2%)

Compiler: Compiled 1577 to 1272 computations (19.3% saved)

prune15.0ms (0.4%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	104	0	104
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	104	4	108

Accuracy

100.0%

Counts

108 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	68.5%	(/.f64 1 x)
✓	100.0%	(/.f64 -1 (expm1.f64 (neg.f64 x)))
✓	67.9%	(+.f64 (/.f64 1 x) 1/2)
✓	68.0%	(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Compiler

Compiled 61 to 45 computations (26.2% saved)

regimes10.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))

Calls

3 calls:

5.0ms	x
2.0ms	(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))
2.0ms	(exp.f64 x)

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(/.f64 (exp.f64 x) (-.f64 (exp.f64 x) 1))`
100.0%	1	`(exp.f64 x)`

Compiler

Compiled 48 to 32 computations (33.3% saved)

regimes6.0ms (0.1%)

Accuracy

Total -0.7b remaining (-3.6%)

Threshold costs -0.7b (-3.6%)

Counts

3 → 1

Calls

Call 1

Inputs
(/.f64 1 x)
(+.f64 (/.f64 1 x) 1/2)
(+.f64 1/2 (+.f64 (*.f64 1/12 x) (/.f64 1 x)))

Outputs
(/.f64 1 x)

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
68.5%	1	`x`

Compiler

Compiled 20 to 15 computations (25% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`sub-neg`
2×	`neg-mul-1`
2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	19	28
2	21	28
3	22	28

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)

Outputs
(/.f64 -1 (expm1.f64 (neg.f64 x)))
(/.f64 1 x)

Compiler

Compiled 10 to 8 computations (20% saved)

soundness227.0ms (5.9%)

Rules

1256×	`distribute-lft-in`
946×	`fma-neg`
910×	`div-sub`
862×	`times-frac`
778×	`times-frac`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	15	104
1	33	102
2	46	102
3	68	102
4	135	82
5	439	82
6	2248	82
7	4558	78
0	212	2362
1	523	2266
2	1408	2220
3	5548	1957

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 162 to 85 computations (47.5% saved)

end0.0ms (0%)

preprocess50.0ms (1.3%)

Compiler: Compiled 48 to 36 computations (25% saved)

analyze236.0ms (6.1%)

sample2.5s (63.5%)

preprocess171.0ms (4.4%)

eval0.0ms (0%)

prune1.0ms (0%)

localize34.0ms (0.9%)

series2.0ms (0%)

rewrite179.0ms (4.6%)

simplify82.0ms (2.1%)

eval23.0ms (0.6%)

prune15.0ms (0.4%)

localize153.0ms (4%)

series2.0ms (0.1%)

rewrite79.0ms (2%)

simplify80.0ms (2.1%)

eval45.0ms (1.2%)

prune15.0ms (0.4%)

regimes10.0ms (0.3%)

regimes6.0ms (0.1%)

simplify3.0ms (0.1%)

soundness227.0ms (5.9%)

end0.0ms (0%)

preprocess50.0ms (1.3%)

Profiling