Metrics for Kahan's exp quotient

analyze1.0ms (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
50%	50%	50%	0%	0%	0%	0%	2
75%	75%	25%	0%	0%	0%	0%	3
87.5%	87.5%	12.5%	0%	0%	0%	0%	4
93.8%	93.7%	6.2%	0%	0%	0%	0%	5
96.9%	96.8%	3.1%	0%	0%	0%	0%	6
98.4%	98.4%	1.6%	0%	0%	0%	0%	7
99.2%	99.2%	0.8%	0%	0%	0%	0%	8
99.6%	99.6%	0.4%	0%	0%	0%	0%	9
99.8%	99.8%	0.2%	0%	0%	0%	0%	10
99.9%	99.9%	0.1%	0%	0%	0%	0%	11
100%	99.9%	0%	0%	0%	0%	0%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.1s (39.7%)

Results

418.0ms	2028×	body	1024	valid
232.0ms	2964×	body	256	valid
151.0ms	2041×	body	256	infinite
133.0ms	1014×	body	512	valid
49.0ms	209×	body	2048	valid

Bogosity

preprocess104.0ms (3.9%)

Algorithm

1×	egg-herbie

Rules

1292×	`div-sub`
1216×	`fma-neg`
1162×	`fma-def`
904×	`cancel-sign-sub-inv`
864×	`associate-/r*`

Problems

141×	No Errors
115×	`(-.f64 (exp.f64 x) 1)`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	31	59
2	49	59
3	81	59
4	187	59
5	545	59
6	1645	59
7	5861	59

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

Compiler: Compiled 5 to 3 computations (40% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize55.0ms (2.1%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite93.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

508×	`unpow-prod-down`
354×	`cbrt-prod`
352×	`log-prod`
332×	`log1p-expm1-u`
331×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	68	17
2	882	17

Stop Event

1×	node limit

Counts

1 → 64

Calls

Call 1

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

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

simplify66.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

960×	`fma-def`
714×	`associate-*r/`
690×	`unswap-sqr`
682×	`distribute-lft-in`
626×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	215	2185
1	500	2106
2	1594	2042
3	7882	2042

Stop Event

1×	node limit

Counts

76 → 99

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Outputs
1
(+.f64 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 (fma.f64 1/2 x 1) (*.f64 1/6 (pow.f64 x 2)))
(fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 (fma.f64 1/24 (pow.f64 x 3) (*.f64 1/6 (pow.f64 x 2))) (fma.f64 1/2 x 1))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 1/6 (pow.f64 x 2) 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) (log.f64 (E.f64)))
(/.f64 (expm1.f64 x) x)
(*.f64 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (.f64 (/.f64 1 x) (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (/.f64 (expm1.f64 x) x) x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (/.f64 (expm1.f64 x) (pow.f64 x 2))))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 1 1/3) (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(.f64 (pow.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x)) 1/3) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2) 1/3) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) -1) (pow.f64 (/.f64 x (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) -1/2) -1) (pow.f64 (/.f64 x (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (expm1.f64 x) -1/2)) (/.f64 1 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(/.f64 (*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) 1) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) -1) (pow.f64 (/.f64 (cbrt.f64 x) (expm1.f64 x)) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))) -1) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 1) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (/.f64 (pow.f64 x 2) (pow.f64 (expm1.f64 x) 2))))
(*.f64 (pow.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) 1) -1) (pow.f64 (/.f64 (sqrt.f64 x) (expm1.f64 x)) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) -1) (pow.f64 (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(.f64 (cbrt.f64 (.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 x))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (.f64 (expm1.f64 x) (pow.f64 (/.f64 (expm1.f64 x) x) 2))) (cbrt.f64 (/.f64 1 x)))
(*.f64 (cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 2))) (cbrt.f64 (/.f64 1 x)))
(.f64 (cbrt.f64 (pow.f64 (.f64 (/.f64 (expm1.f64 x) x) (cbrt.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 4) 2)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 8)) (cbrt.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 5/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/4))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) (pow.f64 (/.f64 (expm1.f64 x) x) 3/4))
(.f64 (sqrt.f64 (.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x))) (pow.f64 x -1/2))
(*.f64 (pow.f64 x -1/2) (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)) (pow.f64 (/.f64 (expm1.f64 x) x) 1/6))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5)))
(*.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 5/2))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval60.0ms (2.3%)

Compiler: Compiled 1124 to 513 computations (54.4% saved)

prune16.0ms (0.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	95	5	100

Accuracy

100.0%

Counts

100 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	46.5%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	97.7%	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
	46.0%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	46.5%	(+.f64 1 (*.f64 1/2 x))
▶	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	97.7%	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
	46.0%	1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize336.0ms (12.7%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	97.7%	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
✓	58.4%	(log.f64 (/.f64 (expm1.f64 x) x))

Compiler

Compiled 44 to 20 computations (54.5% saved)

series94.0ms (3.6%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
68.0ms	x	@	-inf	(log.f64 (/.f64 (expm1.f64 x) x))
25.0ms	x	@	inf	(log.f64 (/.f64 (expm1.f64 x) x))
1.0ms	x	@	0	(log.f64 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	0	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
0.0ms	x	@	0	(*.f64 (/.f64 1 x) (expm1.f64 x))

rewrite80.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

824×	`unpow-prod-down`
540×	`log-prod`
491×	`log1p-expm1-u`
490×	`expm1-log1p-u`
461×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	55
1	137	55
2	1400	55

Stop Event

1×	node limit

Counts

3 → 232

Calls

Call 1

Inputs
(log.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))

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

simplify172.0ms (6.5%)

Algorithm

1×	egg-herbie

Rules

832×	`fma-neg`
760×	`sqr-pow`
674×	`log-prod`
390×	`exp-prod`
372×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	490	7701
1	1167	7543
2	3958	7456

Stop Event

1×	node limit

Counts

268 → 260

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x))
(+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/181440 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x))))
(+.f64 (log.f64 (-.f64 (exp.f64 x) 1)) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (-.f64 (exp.f64 x) 1)) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (-.f64 (exp.f64 x) 1)) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (-.f64 (exp.f64 x) 1)) (log.f64 (/.f64 1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 x) 1))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 x) 1))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 x) 1))) (log.f64 (/.f64 -1 x)))
(+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 x) 1))) (log.f64 (/.f64 -1 x)))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(+.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 0)
(+.f64 (log.f64 (/.f64 (expm1.f64 x) x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(+.f64 (log.f64 (/.f64 (expm1.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(+.f64 (log.f64 (expm1.f64 x)) (neg.f64 (log.f64 x)))
(+.f64 0 (log.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x))))
(+.f64 (*.f64 -1/2 (log.f64 x)) (log.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (log.f64 x)) (log.f64 (.f64 (pow.f64 x -1/2) (expm1.f64 x))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))))
(+.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 1 (neg.f64 x))))
(+.f64 (fma.f64 1 (log.f64 (expm1.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (cbrt.f64 (log.f64 (expm1.f64 x))) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (sqrt.f64 (log.f64 (expm1.f64 x))) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))))
(+.f64 (log.f64 (*.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) -2))) (neg.f64 (log.f64 (cbrt.f64 x))))
(+.f64 (log.f64 (.f64 (expm1.f64 x) (pow.f64 x -1/2))) (.f64 -1/2 (log.f64 x)))
(+.f64 (log.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (expm1.f64 x))))
(+.f64 (log.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(-.f64 (log.f64 (expm1.f64 x)) (log.f64 x))
(-.f64 0 (log.f64 (/.f64 x (expm1.f64 x))))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1)))
(-.f64 (+.f64 1 (log.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (/.f64 x (cbrt.f64 (expm1.f64 x)))))
(-.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (expm1.f64 x)))))
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(-.f64 (log.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (log.f64 (neg.f64 (neg.f64 x))))
(-.f64 (log.f64 (*.f64 (expm1.f64 x) -1)) (log.f64 (neg.f64 x)))
(-.f64 (log.f64 (/.f64 (expm1.f64 x) 1)) (log.f64 x))
(-.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) (log.f64 (E.f64)))
(*.f64 1 (log.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 -1 (log.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3)) 1/3))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 (pow.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 5/2) 1/3) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (log.f64 (expm1.f64 x)) 3) (pow.f64 (log.f64 x) 3)) (+.f64 (pow.f64 (log.f64 (expm1.f64 x)) 2) (+.f64 (pow.f64 (log.f64 x) 2) (*.f64 (log.f64 (expm1.f64 x)) (log.f64 x)))))
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(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 (expm1.f64 x) x))))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x))
(fma.f64 1/24 (pow.f64 x 2) (*.f64 1/2 x))
(fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 2)))
(+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (*.f64 1/2 x)))
(fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 x 2) (*.f64 1/2 x)))
(fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 2))))
(+.f64 (.f64 -1/2880 (pow.f64 x 4)) (+.f64 (.f64 1/181440 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 2)) (.f64 1/2 x))))
(fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/181440 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 2) (*.f64 1/2 x))))
(fma.f64 -1/2880 (pow.f64 x 4) (fma.f64 1/181440 (pow.f64 x 6) (fma.f64 1/2 x (*.f64 1/24 (pow.f64 x 2)))))
(+.f64 (log.f64 (-.f64 (exp.f64 x) 1)) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (-.f64 (exp.f64 x) 1)) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (-.f64 (exp.f64 x) 1)) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (-.f64 (exp.f64 x) 1)) (log.f64 (/.f64 1 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 x) 1))) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 x) 1))) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 x) 1))) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 -1 (-.f64 (exp.f64 x) 1))) (log.f64 (/.f64 -1 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/6)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/6))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 1/6 (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/6)))
(+.f64 1 (fma.f64 (pow.f64 x 2) 1/6 (*.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 x 2) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 (pow.f64 x 2) 1/6))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 (pow.f64 x 2) 1/6 (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 0)
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (/.f64 (expm1.f64 x) x)) (fma.f64 (neg.f64 (log.f64 x)) 1 (log.f64 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (/.f64 (expm1.f64 x) x)) (fma.f64 (neg.f64 (sqrt.f64 (log.f64 x))) (sqrt.f64 (log.f64 x)) (log.f64 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (expm1.f64 x)) (neg.f64 (log.f64 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 0 (log.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (neg.f64 (log.f64 x)) (log.f64 (expm1.f64 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (*.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 x) -2)) (log.f64 (/.f64 (expm1.f64 x) (cbrt.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (*.f64 -1/2 (log.f64 x)) (log.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x))))
(fma.f64 -1/2 (log.f64 x) (log.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x))))
(fma.f64 (log.f64 x) -1/2 (log.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x))))
(+.f64 (.f64 -1/2 (log.f64 x)) (log.f64 (.f64 (pow.f64 x -1/2) (expm1.f64 x))))
(fma.f64 -1/2 (log.f64 x) (log.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2))))
(fma.f64 (log.f64 x) -1/2 (log.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 2 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (/.f64 1 (neg.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (fma.f64 1 (log.f64 (expm1.f64 x)) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 x))) 2) (cbrt.f64 (log.f64 (expm1.f64 x))) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (fma.f64 (sqrt.f64 (log.f64 (expm1.f64 x))) (sqrt.f64 (log.f64 (expm1.f64 x))) (neg.f64 (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2)))) (fma.f64 (neg.f64 (cbrt.f64 (log.f64 x))) (pow.f64 (cbrt.f64 (log.f64 x)) 2) (.f64 (cbrt.f64 (log.f64 x)) (pow.f64 (cbrt.f64 (log.f64 x)) 2))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1)) (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) (log.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2))))
(+.f64 (log.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x))) (log.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1)) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) -2))) (neg.f64 (log.f64 (cbrt.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (.f64 (expm1.f64 x) (pow.f64 x -1/2))) (.f64 -1/2 (log.f64 x)))
(fma.f64 -1/2 (log.f64 x) (log.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2))))
(fma.f64 (log.f64 x) -1/2 (log.f64 (*.f64 (expm1.f64 x) (pow.f64 x -1/2))))
(+.f64 (log.f64 (*.f64 (/.f64 1 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))) (log.f64 (cbrt.f64 (expm1.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (*.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x)))) (log.f64 (sqrt.f64 (expm1.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 (expm1.f64 x)) (log.f64 x))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 0 (log.f64 (/.f64 x (expm1.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 0 (log.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1)))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 1 (log.f64 (/.f64 (expm1.f64 x) x))) 1)
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (*.f64 2 (log.f64 (cbrt.f64 (expm1.f64 x)))) (log.f64 (/.f64 x (cbrt.f64 (expm1.f64 x)))))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 (sqrt.f64 (expm1.f64 x))) (log.f64 (/.f64 x (sqrt.f64 (expm1.f64 x)))))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 -1) (log.f64 (neg.f64 (/.f64 x (expm1.f64 x)))))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 (neg.f64 (expm1.f64 x))) (log.f64 (neg.f64 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x))) (log.f64 (sqrt.f64 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 (neg.f64 (neg.f64 (expm1.f64 x)))) (log.f64 (neg.f64 (neg.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 (*.f64 (expm1.f64 x) -1)) (log.f64 (neg.f64 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 (/.f64 (expm1.f64 x) 1)) (log.f64 x))
(log.f64 (/.f64 (expm1.f64 x) x))
(-.f64 (log.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2))) (log.f64 (cbrt.f64 x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1)
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) (log.f64 (E.f64)))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 1 (log.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 -1 (log.f64 (/.f64 x (expm1.f64 x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 2 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(.f64 1/3 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 3 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 1 1/3) (log.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 2) 3) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 3))
(log.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3))) (cbrt.f64 (sqrt.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3))))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3/2)) (cbrt.f64 (pow.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3/2)))
(.f64 (pow.f64 (pow.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
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(.f64 (.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (*.f64 (/.f64 1 (sqrt.f64 x)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (*.f64 (/.f64 1 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1) (pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) -1))
(pow.f64 (/.f64 (sqrt.f64 x) (sqrt.f64 (expm1.f64 x))) -2)
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (/.f64 (expm1.f64 x) x)))) (E.f64))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (E.f64) (log.f64 (neg.f64 (expm1.f64 x)))) (pow.f64 (E.f64) (log.f64 (neg.f64 x))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (/.f64 (expm1.f64 x) x)))) (E.f64))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 1))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 1))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (fabs.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 1 (-.f64 (/.f64 (expm1.f64 x) x) 1))
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (E.f64) (+.f64 1 (log.f64 (/.f64 (expm1.f64 x) x)))) (E.f64))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (E.f64) (log.f64 (neg.f64 (expm1.f64 x)))) (pow.f64 (E.f64) (log.f64 (neg.f64 x))))
(/.f64 (exp.f64 (+.f64 1 (log.f64 (/.f64 (expm1.f64 x) x)))) (E.f64))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (E.f64) (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (*.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 1))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (*.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 1))
(/.f64 (expm1.f64 x) x)
(pow.f64 (exp.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (pow.f64 (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) 2)) (cbrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2)) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))) 2))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (fabs.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (cbrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(pow.f64 (pow.f64 (exp.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x))))) (sqrt.f64 (sqrt.f64 (log.f64 (/.f64 (expm1.f64 x) x)))))
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (E.f64)) (log.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval81.0ms (3.1%)

Compiler: Compiled 4732 to 2067 computations (56.3% saved)

prune52.0ms (2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	359	0	359
Fresh	0	1	1
Picked	0	3	3
Done	0	1	1
Total	359	5	364

Accuracy

100.0%

Counts

364 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	46.5%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	97.7%	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
	46.0%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	46.5%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	97.7%	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
	46.0%	1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	46.5%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	97.7%	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
	46.0%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	46.5%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	97.7%	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
	46.0%	1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	46.5%	(+.f64 1 (*.f64 1/2 x))
✓	99.9%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	97.7%	(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
	46.0%	1

Compiler

Compiled 56 to 37 computations (33.9% saved)

regimes62.0ms (2.3%)

Counts

6 → 1

Calls

Call 1

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

Outputs
(/.f64 (expm1.f64 x) x)

Calls

2 calls:

5.0ms	x
3.0ms	(/.f64 (-.f64 (exp.f64 x) 1) x)

Results

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

Compiler

Compiled 38 to 23 computations (39.5% saved)

regimes4.0ms (0.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(+.f64 1 (*.f64 1/2 x))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
46.5%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

regimes79.0ms (3%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

1 calls:

78.0ms

Results

Accuracy	Segments	Branch
46.0%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	16	34

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 1/2 x))
1

Outputs
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
1

Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness114.0ms (4.3%)

Rules

1292×	`div-sub`
1216×	`fma-neg`
1162×	`fma-def`
904×	`cancel-sign-sub-inv`
864×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	59
1	31	59
2	49	59
3	81	59
4	187	59
5	545	59
6	1645	59
7	5861	59

Stop Event

1×	node limit

Compiler

Compiled 11 to 7 computations (36.4% saved)

end0.0ms (0%)

preprocess116.0ms (4.4%)

Compiler: Compiled 82 to 56 computations (31.7% saved)

analyze1.0ms (0%)

sample1.1s (39.7%)

preprocess104.0ms (3.9%)

eval0.0ms (0%)

prune1.0ms (0%)

localize55.0ms (2.1%)

series1.0ms (0.1%)

rewrite93.0ms (3.5%)

simplify66.0ms (2.5%)

eval60.0ms (2.3%)

prune16.0ms (0.6%)

localize336.0ms (12.7%)

series94.0ms (3.6%)

rewrite80.0ms (3%)

simplify172.0ms (6.5%)

eval81.0ms (3.1%)

prune52.0ms (2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes62.0ms (2.3%)

regimes4.0ms (0.1%)

regimes79.0ms (3%)

simplify2.0ms (0.1%)

soundness114.0ms (4.3%)

end0.0ms (0%)

preprocess116.0ms (4.4%)

Profiling