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 (34.4%)

Results

475.0ms	2070×	body	1024	valid
223.0ms	2867×	body	256	valid
166.0ms	2081×	body	256	infinite
141.0ms	1026×	body	512	valid
59.0ms	212×	body	2048	valid

Bogosity

preprocess55.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1290×	`div-sub`
1216×	`fma-neg`
1162×	`fma-def`
906×	`cancel-sign-sub-inv`
870×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	29	30
2	47	30
3	79	30
4	185	30
5	543	30
6	1635	30
7	5797	30

Stop Event

1×	node limit

Calls

Call 1

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

336×	`fma-def`
68×	`distribute-rgt-in`
52×	`distribute-lft-in`
40×	`sub-neg`
40×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	2	1	3

Accurracy

100.0%

Counts

3 → 1

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)

localize22.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

series1.0ms (0%)

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)

rewrite59.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1246×	`pow1`
1146×	`add-exp-log`
1146×	`log1p-expm1-u`
1144×	`expm1-log1p-u`
1120×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	120	11
2	1537	11

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify52.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1732×	`fma-def`
772×	`log-prod`
592×	`div-sub`
574×	`log-div`
400×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	543
1	230	539
2	789	539
3	4114	527

Stop Event

1×	node limit

Counts

43 → 46

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(fma.f64 x (fma.f64 x 1/6 1/2) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 x (fma.f64 x 1/6 1/2) (fma.f64 1/24 (pow.f64 x 3) 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 (+.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 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 (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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.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 (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) 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)
(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)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval52.0ms (1.6%)

Compiler: Compiled 424 to 210 computations (50.5% saved)

prune8.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	42	4	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Accurracy

100.0%

Counts

47 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	50.3%	(+.f64 (*.f64 1/2 x) 1)
▶	100.0%	(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
	49.8%	1
▶	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	50.3%	(+.f64 (*.f64 1/2 x) 1)
▶	100.0%	(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
	49.8%	1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize349.0ms (11.1%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(/.f64 x (expm1.f64 x))
✓	100.0%	(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	99.2%	(expm1.f64 (/.f64 (expm1.f64 x) x))

Compiler

Compiled 45 to 18 computations (60% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(/.f64 x (expm1.f64 x))
1.0ms	x	@	inf	(/.f64 x (expm1.f64 x))
1.0ms	x	@	0	(expm1.f64 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	-inf	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
0.0ms	x	@	inf	(expm1.f64 (/.f64 (expm1.f64 x) x))

rewrite71.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1748×	`pow1`
1618×	`log1p-expm1-u`
1616×	`add-exp-log`
1614×	`expm1-log1p-u`
1582×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	209	48
2	2258	48

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(expm1.f64 (/.f64 (expm1.f64 x) x))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 x (expm1.f64 x))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)

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

simplify108.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

930×	`distribute-rgt-in`
918×	`distribute-lft-in`
614×	`log-prod`
488×	`fma-neg`
414×	`exp-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	270	3077
1	660	2931
2	2611	2913

Stop Event

1×	node limit

Counts

193 → 153

Calls

Call 1

Inputs
(-.f64 (exp.f64 1) 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 x (exp.f64 1))) (exp.f64 1)) 1)
(-.f64 (+.f64 (.f64 7/24 (.f64 (pow.f64 x 2) (exp.f64 1))) (+.f64 (.f64 1/2 (.f64 x (exp.f64 1))) (exp.f64 1))) 1)
(-.f64 (+.f64 (.f64 7/48 (.f64 (pow.f64 x 3) (exp.f64 1))) (+.f64 (.f64 7/24 (.f64 (pow.f64 x 2) (exp.f64 1))) (+.f64 (.f64 1/2 (.f64 x (exp.f64 1))) (exp.f64 1)))) 1)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 x) x) (.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (*.f64 1/24 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4)))))) (/.f64 1 x))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2)))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 x) x) (.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (*.f64 1/24 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4)))))) (/.f64 1 x))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.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 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 1/12 (pow.f64 x 2))))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (-.f64 (exp.f64 x) 1))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.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 (exp.f64 (/.f64 (expm1.f64 x) x)) -1)
(-.f64 (exp.f64 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (/.f64 (expm1.f64 x) x)) 3) 1) (+.f64 (.f64 (exp.f64 (/.f64 (expm1.f64 x) x)) (exp.f64 (/.f64 (expm1.f64 x) x))) (+.f64 1 (.f64 (exp.f64 (/.f64 (expm1.f64 x) x)) 1))))
(/.f64 (-.f64 (*.f64 (exp.f64 (/.f64 (expm1.f64 x) x)) (exp.f64 (/.f64 (expm1.f64 x) x))) 1) (+.f64 (exp.f64 (/.f64 (expm1.f64 x) x)) 1))
(pow.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (pow.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))) 2)
(sqrt.f64 (pow.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (exp.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)) 3))
(exp.f64 (log.f64 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(log1p.f64 (expm1.f64 (expm1.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 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 (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 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.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 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (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 (/.f64 1 x) (/.f64 1 (expm1.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) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2) -1/2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(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)))
(-.f64 (+.f64 1 (/.f64 x (expm1.f64 x))) 1)
(*.f64 x (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(*.f64 1 (/.f64 x (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (expm1.f64 x)) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (expm1.f64 x)))
(*.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) (neg.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) -1)
(pow.f64 (/.f64 x (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 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 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 (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 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.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 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (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 (/.f64 1 x) (/.f64 1 (expm1.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) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 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)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Outputs
(-.f64 (exp.f64 1) 1)
(expm1.f64 1)
(-.f64 (+.f64 (.f64 1/2 (.f64 x (exp.f64 1))) (exp.f64 1)) 1)
(+.f64 (.f64 1/2 (.f64 (E.f64) x)) (expm1.f64 1))
(fma.f64 1/2 (*.f64 (E.f64) x) (expm1.f64 1))
(fma.f64 (fma.f64 1/2 x 1) (E.f64) -1)
(-.f64 (+.f64 (.f64 7/24 (.f64 (pow.f64 x 2) (exp.f64 1))) (+.f64 (.f64 1/2 (.f64 x (exp.f64 1))) (exp.f64 1))) 1)
(+.f64 (fma.f64 7/24 (.f64 (E.f64) (.f64 x x)) (fma.f64 1/2 (*.f64 (E.f64) x) (E.f64))) -1)
(+.f64 (.f64 (E.f64) (+.f64 (.f64 7/24 (.f64 x x)) (.f64 1/2 x))) (expm1.f64 1))
(fma.f64 7/24 (.f64 (E.f64) (.f64 x x)) (fma.f64 (fma.f64 1/2 x 1) (E.f64) -1))
(-.f64 (+.f64 (.f64 7/48 (.f64 (pow.f64 x 3) (exp.f64 1))) (+.f64 (.f64 7/24 (.f64 (pow.f64 x 2) (exp.f64 1))) (+.f64 (.f64 1/2 (.f64 x (exp.f64 1))) (exp.f64 1)))) 1)
(+.f64 (fma.f64 7/48 (.f64 (E.f64) (pow.f64 x 3)) (fma.f64 7/24 (.f64 (E.f64) (.f64 x x)) (fma.f64 1/2 (.f64 (E.f64) x) (E.f64)))) -1)
(+.f64 (.f64 (E.f64) (+.f64 (.f64 7/48 (pow.f64 x 3)) (.f64 7/24 (.f64 x x)))) (fma.f64 1/2 (*.f64 (E.f64) x) (expm1.f64 1)))
(+.f64 (.f64 (E.f64) (+.f64 (.f64 7/48 (pow.f64 x 3)) (.f64 7/24 (.f64 x x)))) (fma.f64 (fma.f64 1/2 x 1) (E.f64) -1))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (.f64 x x))) (/.f64 1 x)))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 x) x) (.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))))) (/.f64 1 x))
(-.f64 (fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (/.f64 (exp.f64 x) x) (.f64 1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (.f64 x x))))) (/.f64 1 x))
(fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 (expm1.f64 x) x)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (*.f64 1/24 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (/.f64 (exp.f64 x) x) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (.f64 x x)) (.f64 1/24 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)))))) (/.f64 1 x))
(fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (*.f64 1/24 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)))) (/.f64 (expm1.f64 x) x)))
(fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (*.f64 1/24 (pow.f64 (/.f64 (expm1.f64 x) x) 4))) (/.f64 (expm1.f64 x) x)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) (*.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2)))) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 (.f64 1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (.f64 x x))) (/.f64 1 x)))
(+.f64 (*.f64 1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 x) x) (.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))))) (/.f64 1 x))
(-.f64 (fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (/.f64 (exp.f64 x) x) (.f64 1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (.f64 x x))))) (/.f64 1 x))
(fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (*.f64 1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 (expm1.f64 x) x)))
(-.f64 (+.f64 (.f64 1/6 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (+.f64 (/.f64 (exp.f64 x) x) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (*.f64 1/24 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4)))))) (/.f64 1 x))
(-.f64 (fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (/.f64 (exp.f64 x) x) (fma.f64 1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (.f64 x x)) (.f64 1/24 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)))))) (/.f64 1 x))
(fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (*.f64 1/24 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)))) (/.f64 (expm1.f64 x) x)))
(fma.f64 1/6 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (+.f64 (fma.f64 1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (*.f64 1/24 (pow.f64 (/.f64 (expm1.f64 x) x) 4))) (/.f64 (expm1.f64 x) x)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 (*.f64 x x) 1/6 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 (pow.f64 x 3) 1/24)))
(fma.f64 1/2 x (fma.f64 (*.f64 x x) 1/6 (fma.f64 (pow.f64 x 3) 1/24 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
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1
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1
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(*.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 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) -1) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1) (pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) 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) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)))
(*.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 (expm1.f64 x) x)
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 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 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 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 (/.f64 1 x) (/.f64 1 (expm1.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) 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 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.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)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval50.0ms (1.6%)

Compiler: Compiled 2380 to 1216 computations (48.9% saved)

prune25.0ms (0.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	197	2	199
Fresh	0	1	1
Picked	2	1	3
Done	0	1	1
Total	199	5	204

Accurracy

100.0%

Counts

204 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.6%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	50.3%	(+.f64 (*.f64 1/2 x) 1)
	49.8%	1
▶	99.6%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	50.3%	(+.f64 (*.f64 1/2 x) 1)
	49.8%	1

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize45.0ms (1.4%)

Local Accuracy

Found 4 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 1 (expm1.f64 x))
✓	99.6%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
	100.0%	(/.f64 x (expm1.f64 x))

Compiler

Compiled 35 to 17 computations (51.4% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(/.f64 1 (expm1.f64 x))
0.0ms	x	@	inf	(/.f64 1 (expm1.f64 x))
0.0ms	x	@	0	(/.f64 1 (expm1.f64 x))
0.0ms	x	@	0	(/.f64 1 (/.f64 x (expm1.f64 x)))
0.0ms	x	@	0	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))

rewrite81.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1040×	`log-prod`
824×	`prod-exp`
650×	`pow-prod-down`
514×	`pow-prod-up`
512×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	235	33
2	3179	33

Stop Event

1×	node limit

Counts

3 → 199

Calls

Call 1

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

simplify76.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1024×	`fma-def`
948×	`distribute-lft-in`
948×	`unswap-sqr`
920×	`distribute-rgt-in`
362×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	305	4295
1	727	4059
2	2246	4035

Stop Event

1×	node limit

Counts

235 → 168

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.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 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.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 1 x)
(-.f64 (/.f64 1 x) 1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (-.f64 (exp.f64 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 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (/.f64 1 x) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 -1 x) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 -1 x) (/.f64 1 (/.f64 -1 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (/.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (expm1.f64 x) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (/.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x)))
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(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 (sqrt.f64 (/.f64 x (expm1.f64 x))) -2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 x -3) (pow.f64 (expm1.f64 x) -3)) 1/3)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 x) (expm1.f64 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2)
(pow.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x -3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1/2)) 2)
(neg.f64 (/.f64 (/.f64 1 x) (/.f64 -1 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (expm1.f64 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 (/.f64 x (expm1.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(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 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1) -1))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) 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 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(*.f64 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (expm1.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (/.f64 1 x) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))
(*.f64 (/.f64 -1 x) (neg.f64 (expm1.f64 x)))
(*.f64 (/.f64 -1 x) (/.f64 1 (/.f64 -1 (expm1.f64 x))))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (/.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (expm1.f64 x) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (/.f64 1 (expm1.f64 x))))
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (/.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 (expm1.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 x) -2) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) 2)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.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 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (expm1.f64 x) 2))) (cbrt.f64 (expm1.f64 x)))
(.f64 (.f64 (/.f64 1 x) (sqrt.f64 (expm1.f64 x))) (sqrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (/.f64 1 x) -1) (neg.f64 (expm1.f64 x)))
(pow.f64 (/.f64 (expm1.f64 x) x) 1)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -3)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(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 (sqrt.f64 (/.f64 x (expm1.f64 x))) -2)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(pow.f64 (/.f64 (pow.f64 x -3) (pow.f64 (expm1.f64 x) -3)) 1/3)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(pow.f64 (neg.f64 (/.f64 (neg.f64 x) (expm1.f64 x))) -1)
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2)
(pow.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x))) 3)
(pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x -3)) 1/3)
(pow.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1/2)) 2)
(neg.f64 (/.f64 (/.f64 1 x) (/.f64 -1 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(cbrt.f64 (/.f64 (pow.f64 x -3) (pow.f64 (expm1.f64 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 (/.f64 x (expm1.f64 x))) -1))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(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 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1) -1))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(*.f64 -1 (/.f64 -1 (expm1.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(pow.f64 (expm1.f64 x) -1)
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(pow.f64 (neg.f64 (neg.f64 (expm1.f64 x))) -1)
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x)))))
(cbrt.f64 (pow.f64 (expm1.f64 x) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) -3)) 1/3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) -1/2)) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 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)
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 1/24 (pow.f64 x 3))))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 1/24 (pow.f64 x 3) 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) (fma.f64 1/24 (pow.f64 x 3) 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 1 x)
(-.f64 (/.f64 1 x) 1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
(+.f64 (fma.f64 1/12 x (/.f64 1 x)) -1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) -1/2)
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))
(-.f64 (+.f64 (.f64 -1/720 (pow.f64 x 3)) (+.f64 (.f64 1/12 x) (/.f64 1 x))) 1/2)
(+.f64 (fma.f64 -1/720 (pow.f64 x 3) (fma.f64 1/12 x (/.f64 1 x))) -1/2)
(+.f64 (fma.f64 (pow.f64 x 3) -1/720 (fma.f64 x 1/12 (/.f64 1 x))) -1/2)
(+.f64 (fma.f64 x 1/12 (/.f64 1 x)) (fma.f64 (pow.f64 x 3) -1/720 -1/2))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 x))
(/.f64 1 (-.f64 (exp.f64 x) 1))
(/.f64 1 (expm1.f64 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 (exp.f64 (log1p.f64 (/.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 1 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(*.f64 (expm1.f64 x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (expm1.f64 x) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 (/.f64 1 x) (pow.f64 (expm1.f64 x) -1/2)))
(.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 (.f64 (pow.f64 (expm1.f64 x) -1/2) x)))
(/.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 x (pow.f64 (expm1.f64 x) -1/2)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 -1 x) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 -1 x) (/.f64 1 (/.f64 -1 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (/.f64 (/.f64 1 x) (/.f64 1 (cbrt.f64 (expm1.f64 x)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (cbrt.f64 (expm1.f64 x)))
(/.f64 (/.f64 (cbrt.f64 (expm1.f64 x)) x) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) 1) (/.f64 (/.f64 1 (cbrt.f64 x)) (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (expm1.f64 x) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))))
(*.f64 (/.f64 (cbrt.f64 (pow.f64 x -2)) (pow.f64 (expm1.f64 x) -1/2)) (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (expm1.f64 x) -1/2)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (expm1.f64 x) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 x -1/2) 1) (/.f64 (pow.f64 x -1/2) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (pow.f64 x -1/2) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (/.f64 (pow.f64 x -1/2) (/.f64 1 (cbrt.f64 (expm1.f64 x)))))
(.f64 (/.f64 1 (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (.f64 (/.f64 (/.f64 1 x) 1) (cbrt.f64 (expm1.f64 x))))
(*.f64 (/.f64 (/.f64 1 x) (cbrt.f64 (pow.f64 (expm1.f64 x) -2))) (cbrt.f64 (expm1.f64 x)))
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(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 2)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(pow.f64 (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 (cbrt.f64 x))) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x -3)) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x -3) (pow.f64 (expm1.f64 x) 3)))
(pow.f64 (*.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 x -1/2)) 2)
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (/.f64 1 x) (/.f64 -1 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) -2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log.f64 (+.f64 1 (expm1.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 x -3) (pow.f64 (expm1.f64 x) -3)))
(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 (/.f64 x (expm1.f64 x))) -1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(/.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 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1) -1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) -1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (expm1.f64 x)))) 1)
(/.f64 1 (expm1.f64 x))
(*.f64 1 (/.f64 1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) 1)
(/.f64 1 (expm1.f64 x))
(*.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) (cbrt.f64 (pow.f64 (expm1.f64 x) -2)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (pow.f64 (expm1.f64 x) -2)) (cbrt.f64 (expm1.f64 x)))
(*.f64 (pow.f64 (expm1.f64 x) -1/2) (pow.f64 (expm1.f64 x) -1/2))
(/.f64 1 (expm1.f64 x))
(*.f64 -1 (/.f64 -1 (expm1.f64 x)))
(/.f64 1 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) -2) (/.f64 1 (cbrt.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(pow.f64 (expm1.f64 x) -1)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (expm1.f64 x)) 1)
(/.f64 1 (expm1.f64 x))
(pow.f64 (cbrt.f64 (expm1.f64 x)) -3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (/.f64 1 (cbrt.f64 (expm1.f64 x))) 3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) 2) -1/2)
(pow.f64 (pow.f64 (expm1.f64 x) 3) -1/3)
(*.f64 (pow.f64 (pow.f64 (expm1.f64 x) 3) -1/6) (pow.f64 (pow.f64 (expm1.f64 x) 3) -1/6))
(pow.f64 (pow.f64 (expm1.f64 x) -2) 1/2)
(/.f64 1 (expm1.f64 x))
(pow.f64 (pow.f64 (expm1.f64 x) -3) 1/3)
(/.f64 1 (expm1.f64 x))
(pow.f64 (sqrt.f64 (expm1.f64 x)) -2)
(pow.f64 (pow.f64 (expm1.f64 x) -1/2) 2)
(/.f64 1 (expm1.f64 x))
(pow.f64 (neg.f64 (neg.f64 (expm1.f64 x))) -1)
(/.f64 1 (expm1.f64 x))
(sqrt.f64 (pow.f64 (expm1.f64 x) -2))
(/.f64 1 (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (expm1.f64 x)))))
(/.f64 1 (expm1.f64 x))
(cbrt.f64 (pow.f64 (expm1.f64 x) -3))
(/.f64 1 (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(exp.f64 (neg.f64 (log.f64 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (expm1.f64 x)) -1))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1))
(/.f64 1 (expm1.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) 1) -1))
(/.f64 1 (expm1.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (expm1.f64 x)) -1) 1))
(/.f64 1 (expm1.f64 x))
(exp.f64 (.f64 (.f64 (neg.f64 (log.f64 (expm1.f64 x))) 1) 1))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (neg.f64 (log.f64 (cbrt.f64 (expm1.f64 x)))) 3))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) -3)) 1/3))
(/.f64 1 (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (expm1.f64 x) -1/2)) 2))
(/.f64 1 (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 1 (expm1.f64 x))))
(/.f64 1 (expm1.f64 x))

eval46.0ms (1.4%)

Compiler: Compiled 2296 to 1278 computations (44.3% saved)

prune29.0ms (0.9%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	209	3	212
Fresh	0	1	1
Picked	0	2	2
Done	0	2	2
Total	209	8	217

Accurracy

100.0%

Counts

217 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
▶	51.8%	(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
▶	50.3%	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	52.2%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
✓	50.3%	(+.f64 (*.f64 1/2 x) 1)
	49.8%	1
✓	99.6%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
▶	51.8%	(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
▶	50.3%	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	52.2%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
✓	50.3%	(+.f64 (*.f64 1/2 x) 1)
	49.8%	1

Compiler

Compiled 122 to 96 computations (21.3% saved)

localize107.0ms (3.4%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(-.f64 (/.f64 1 x) 1/2)
✓	99.6%	(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
✓	100.0%	(-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2)
✓	99.6%	(*.f64 1/12 x)
✓	99.5%	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
✓	100.0%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))

Compiler

Compiled 79 to 60 computations (24.1% saved)

series4.0ms (0.1%)

Counts

6 → 49

Calls

18 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
0.0ms	x	@	inf	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
0.0ms	x	@	inf	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
0.0ms	x	@	-inf	(*.f64 1/12 x)
0.0ms	x	@	inf	(*.f64 1/12 x)

rewrite105.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`fma-def`
692×	`expm1-udef`
690×	`log1p-udef`
542×	`fma-neg`
412×	`add-sqr-sqrt`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	114
1	403	114
2	5740	114

Stop Event

1×	node limit

Counts

6 → 217

Calls

Call 1

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

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

simplify108.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

528×	`cancel-sign-sub-inv`
446×	`sqr-pow`
404×	`exp-prod`
394×	`cube-prod`
394×	`log-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	522	7402
1	1342	6888
2	4858	6822

Stop Event

1×	node limit

Counts

266 → 345

Calls

Call 1

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

Outputs
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/4 (pow.f64 x 2))))
(fma.f64 1/2 x (fma.f64 (*.f64 x x) 1/4 1))
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) 1))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -4 (*.f64 x x))) (/.f64 -2 x))
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 16 (pow.f64 x 4))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -4 (*.f64 x x))) (/.f64 -2 x))
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3)))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (+.f64 (.f64 2 (/.f64 1 x)) (.f64 16 (/.f64 1 (pow.f64 x 4)))))))
(neg.f64 (+.f64 (+.f64 (/.f64 8 (pow.f64 x 3)) (/.f64 4 (*.f64 x x))) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(-.f64 (/.f64 -8 (pow.f64 x 3)) (+.f64 (/.f64 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (/.f64 -8 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 16 (pow.f64 x 4))))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 1) (.f64 (pow.f64 x 3) 1/24)))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) (fma.f64 (pow.f64 x 3) 1/24 1)))
(/.f64 12 (pow.f64 x 2))
(/.f64 12 (*.f64 x x))
(/.f64 (/.f64 12 x) x)
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 12 (*.f64 x x)) (/.f64 72 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 12 x) x) (/.f64 72 (pow.f64 x 3)))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 72 (pow.f64 x 3))) (/.f64 288 (pow.f64 x 4)))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 12 x) x) (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 72 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 288 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 72 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 864 (pow.f64 x 5)) (/.f64 12 (*.f64 x x))) (/.f64 288 (pow.f64 x 4))))
(+.f64 (/.f64 72 (pow.f64 x 3)) (+.f64 (/.f64 288 (pow.f64 x 4)) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 864 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 (/.f64 12 x) x) (/.f64 288 (pow.f64 x 4))) (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 864 (pow.f64 x 5))))
(/.f64 12 (pow.f64 x 2))
(/.f64 12 (*.f64 x x))
(/.f64 (/.f64 12 x) x)
(+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 72 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 12 (*.f64 x x)) (/.f64 72 (pow.f64 x 3)))
(+.f64 (/.f64 (/.f64 12 x) x) (/.f64 72 (pow.f64 x 3)))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (*.f64 288 (/.f64 1 (pow.f64 x 4)))))
(+.f64 (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 72 (pow.f64 x 3))) (/.f64 288 (pow.f64 x 4)))
(+.f64 (/.f64 12 (*.f64 x x)) (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 288 (pow.f64 x 4))))
(+.f64 (/.f64 (/.f64 12 x) x) (+.f64 (/.f64 288 (pow.f64 x 4)) (/.f64 72 (pow.f64 x 3))))
(+.f64 (.f64 72 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 864 (/.f64 1 (pow.f64 x 5))) (+.f64 (.f64 12 (/.f64 1 (pow.f64 x 2))) (.f64 288 (/.f64 1 (pow.f64 x 4))))))
(+.f64 (/.f64 72 (pow.f64 x 3)) (+.f64 (+.f64 (/.f64 864 (pow.f64 x 5)) (/.f64 12 (*.f64 x x))) (/.f64 288 (pow.f64 x 4))))
(+.f64 (/.f64 72 (pow.f64 x 3)) (+.f64 (/.f64 288 (pow.f64 x 4)) (+.f64 (/.f64 12 (*.f64 x x)) (/.f64 864 (pow.f64 x 5)))))
(+.f64 (+.f64 (/.f64 (/.f64 12 x) x) (/.f64 288 (pow.f64 x 4))) (+.f64 (/.f64 72 (pow.f64 x 3)) (/.f64 864 (pow.f64 x 5))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) 1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(-.f64 (*.f64 1/12 x) 1/2)
(fma.f64 x 1/12 -1/2)
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/12 x)) 1/2)
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))
(-.f64 (fma.f64 x 1/12 -1/2) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/12 x)) 1/2)
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))
(-.f64 (fma.f64 x 1/12 -1/2) (/.f64 -1 x))
(*.f64 1/12 x)
(*.f64 x 1/12)
(-.f64 (*.f64 1/12 x) 1/2)
(fma.f64 x 1/12 -1/2)
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/12 x)) 1/2)
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))
(-.f64 (fma.f64 x 1/12 -1/2) (/.f64 -1 x))
(-.f64 (+.f64 (/.f64 1 x) (*.f64 1/12 x)) 1/2)
(+.f64 (/.f64 1 x) (fma.f64 x 1/12 -1/2))
(-.f64 (fma.f64 x 1/12 -1/2) (/.f64 -1 x))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/2 x) (+.f64 1 (.f64 1/4 (pow.f64 x 2))))
(fma.f64 1/2 x (fma.f64 (*.f64 x x) 1/4 1))
(fma.f64 1/2 x (fma.f64 1/4 (*.f64 x x) 1))
(+.f64 (.f64 1/2 x) (+.f64 1 (+.f64 (.f64 1/4 (pow.f64 x 2)) (*.f64 1/8 (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 x 1) (fma.f64 1/4 (.f64 x x) (.f64 1/8 (pow.f64 x 3))))
(/.f64 -2 x)
(neg.f64 (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (.f64 2 (/.f64 1 x))))
(neg.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(neg.f64 (+.f64 (.f64 8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 4 (/.f64 1 (pow.f64 x 2))) (*.f64 2 (/.f64 1 x)))))
(neg.f64 (+.f64 (+.f64 (/.f64 4 (*.f64 x x)) (/.f64 2 x)) (/.f64 8 (pow.f64 x 3))))
(+.f64 (+.f64 (/.f64 -8 (pow.f64 x 3)) (/.f64 -4 (*.f64 x x))) (/.f64 -2 x))
(+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3)))
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(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (.f64 x (+.f64 -1/2 (/.f64 1 x))))) 1))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(log1p.f64 (expm1.f64 (/.f64 1 (*.f64 x (+.f64 -1/2 (/.f64 1 x))))))
(/.f64 1 (fma.f64 -1/2 x 1))
(/.f64 1 (fma.f64 x -1/2 1))
(/.f64 -1 (fma.f64 1/2 x -1))
(+.f64 -1/2 (/.f64 1 x))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(*.f64 1 (+.f64 -1/2 (/.f64 1 x)))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(*.f64 (+.f64 -1/2 (/.f64 1 x)) 1)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(*.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1 x))) 2))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1 x))) 2) (cbrt.f64 (+.f64 -1/2 (/.f64 1 x))))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(*.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1 x))) (sqrt.f64 (+.f64 -1/2 (/.f64 1 x))))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(*.f64 (+.f64 (pow.f64 x -3) -1/8) (/.f64 1 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 1/2 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 1/2 (/.f64 1 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))) (+.f64 (pow.f64 x -3) -1/8)))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(/.f64 1 (/.f64 (+.f64 (/.f64 1 x) 1/2) (+.f64 (pow.f64 x -2) -1/4)))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 1/2 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 1/2 (/.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x -3) -1/8) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 x -3) -1/8) (+.f64 (pow.f64 x -2) (-.f64 1/4 (*.f64 (/.f64 1 x) -1/2))))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 (/.f64 1 x) 1/2))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 1/2 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 1/2 (/.f64 1 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -3) -1/8)) (neg.f64 (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x)))))
(/.f64 (*.f64 (+.f64 -1/8 (pow.f64 x -3)) 1) (+.f64 (pow.f64 x -2) (+.f64 1/4 (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (+.f64 (pow.f64 x -2) (/.f64 1/2 x))))
(/.f64 (+.f64 -1/8 (pow.f64 x -3)) (+.f64 1/4 (-.f64 (pow.f64 x -2) (/.f64 -1/2 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x -2) -1/4)) (neg.f64 (+.f64 (/.f64 1 x) 1/2)))
(*.f64 (+.f64 (pow.f64 x -2) -1/4) (/.f64 1 (+.f64 1/2 (/.f64 1 x))))
(/.f64 (+.f64 (pow.f64 x -2) -1/4) (+.f64 1/2 (/.f64 1 x)))
(pow.f64 (+.f64 -1/2 (/.f64 1 x)) 1)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(pow.f64 (cbrt.f64 (+.f64 -1/2 (/.f64 1 x))) 3)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(pow.f64 (pow.f64 (+.f64 -1/2 (/.f64 1 x)) 3) 1/3)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(pow.f64 (sqrt.f64 (+.f64 -1/2 (/.f64 1 x))) 2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(sqrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 1 x)) 2))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(log.f64 (exp.f64 (+.f64 -1/2 (/.f64 1 x))))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 -1/2 (/.f64 1 x)))))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(cbrt.f64 (pow.f64 (+.f64 -1/2 (/.f64 1 x)) 3))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(expm1.f64 (log1p.f64 (+.f64 -1/2 (/.f64 1 x))))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(exp.f64 (log.f64 (+.f64 -1/2 (/.f64 1 x))))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 -1/2 (/.f64 1 x))) 1))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(log1p.f64 (expm1.f64 (+.f64 -1/2 (/.f64 1 x))))
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(fma.f64 1 (/.f64 1 x) -1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(fma.f64 (/.f64 1 x) 1 -1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1/2)
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1/2)
(+.f64 -1/2 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 1 (cbrt.f64 x)) -1/2)
(fma.f64 (/.f64 1 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x -2)) -1/2)
(+.f64 -1/2 (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(fma.f64 (pow.f64 x -1/2) (pow.f64 x -1/2) -1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(fma.f64 -1 (/.f64 -1 x) -1/2)
(+.f64 (/.f64 1 x) -1/2)
(-.f64 -1/2 (/.f64 -1 x))
(fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -1) (pow.f64 (cbrt.f64 x) -1) -1/2)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 1 (cbrt.f64 x)) -1/2)
(+.f64 -1/2 (/.f64 (/.f64 1 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2)))
(fma.f64 (pow.f64 (sqrt.f64 x) -1) (pow.f64 (sqrt.f64 x) -1) -1/2)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 1 (sqrt.f64 x)) -1/2)
(+.f64 -1/2 (pow.f64 (sqrt.f64 x) -2))

eval146.0ms (4.6%)

Compiler: Compiled 5678 to 4440 computations (21.8% saved)

prune49.0ms (1.5%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	343	2	345
Fresh	0	1	1
Picked	0	3	3
Done	0	4	4
Total	343	10	353

Accurracy

100.0%

Counts

353 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.6%	(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
✓	51.8%	(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
✓	50.3%	(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	52.2%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
	5.3%	(/.f64 -2 x)
	4.3%	(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
✓	50.3%	(+.f64 (*.f64 1/2 x) 1)
	49.8%	1

Compiler

Compiled 159 to 113 computations (28.9% saved)

regimes14.0ms (0.4%)

Counts

13 → 1

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(+.f64 (*.f64 1/2 x) 1)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Outputs
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Calls

2 calls:

7.0ms	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 93 to 61 computations (34.4% saved)

regimes12.0ms (0.4%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

2 calls:

6.0ms	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 87 to 59 computations (32.2% saved)

regimes27.0ms (0.9%)

Counts

8 → 1

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(+.f64 (*.f64 1/2 x) 1)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))
(/.f64 (expm1.f64 x) x)

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

Calls

1 calls:

25.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 54 to 40 computations (25.9% saved)

regimes6.0ms (0.2%)

Counts

7 → 1

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(+.f64 (*.f64 1/2 x) 1)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
(/.f64 (/.f64 1 x) (-.f64 (/.f64 1 x) 1/2))
(/.f64 (/.f64 1 x) (-.f64 (+.f64 (*.f64 1/12 x) (/.f64 1 x)) 1/2))

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
52.2%	1	`x`

Compiler

Compiled 50 to 38 computations (24% saved)

regimes7.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
53.5%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes6.0ms (0.2%)

Counts

2 → 2

Calls

Call 1

Inputs
1
(/.f64 -2 x)

Outputs
(/.f64 -2 x)
1

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
52.3%	2	`x`

Compiler

Compiled 7 to 5 computations (28.6% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
1

Outputs
1

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
49.8%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch16.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
16.0ms	-3891.0500184938664	-0.02748002675194684

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 119 to 98 computations (17.6% saved)

bsearch16.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
15.0ms	-3891.0500184938664	-0.02748002675194684

Results

14.0ms

144×

body

256

valid

Compiler

Compiled 83 to 71 computations (14.5% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	113
1	34	113

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Outputs
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1))
(if (<=.f64 x -3512807709348987/2251799813685248) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Compiler

Compiled 51 to 39 computations (23.5% saved)

soundness178.0ms (5.7%)

Rules

1748×	`pow1`
1618×	`log1p-expm1-u`
1616×	`add-exp-log`
1614×	`expm1-log1p-u`
1582×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11
0	6	11
1	120	11
2	1537	11
0	11	48
1	209	48
2	2258	48

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 39 to 20 computations (48.7% saved)

end0.0ms (0%)

preprocess96.0ms (3.1%)

Compiler: Compiled 150 to 100 computations (33.3% saved)

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11

analyze1.0ms (0%)

sample1.1s (34.4%)

preprocess55.0ms (1.8%)

simplify17.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize22.0ms (0.7%)

series1.0ms (0%)

rewrite59.0ms (1.9%)

simplify52.0ms (1.7%)

eval52.0ms (1.6%)

prune8.0ms (0.2%)

localize349.0ms (11.1%)

series4.0ms (0.1%)

rewrite71.0ms (2.3%)

simplify108.0ms (3.4%)

eval50.0ms (1.6%)

prune25.0ms (0.8%)

localize45.0ms (1.4%)

series1.0ms (0%)

rewrite81.0ms (2.6%)

simplify76.0ms (2.4%)

eval46.0ms (1.4%)

prune29.0ms (0.9%)

localize107.0ms (3.4%)

series4.0ms (0.1%)

rewrite105.0ms (3.3%)

simplify108.0ms (3.4%)

eval146.0ms (4.6%)

prune49.0ms (1.5%)

regimes14.0ms (0.4%)

regimes12.0ms (0.4%)

regimes27.0ms (0.9%)

regimes6.0ms (0.2%)

regimes7.0ms (0.2%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch16.0ms (0.5%)

bsearch16.0ms (0.5%)

simplify6.0ms (0.2%)

soundness178.0ms (5.7%)

end0.0ms (0%)

preprocess96.0ms (3.1%)

Profiling

Iter	Nodes	Cost
0	8	11
1	17	11
2	20	11
3	24	11
4	33	11
5	43	11
6	62	11
7	103	11
8	147	11
9	225	11
10	347	11
11	531	11
12	603	11
13	639	11