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 (43.3%)

Results

477.0ms	1998×	body	1024	valid
276.0ms	2925×	body	256	valid
152.0ms	1087×	body	512	valid
152.0ms	2035×	body	256	infinite
54.0ms	211×	body	2048	valid

Bogosity

preprocess75.0ms (2.9%)

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)

simplify20.0ms (0.8%)

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)

localize18.0ms (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 (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (2.1%)

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)))

simplify60.0ms (2.3%)

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)

eval9.0ms (0.3%)

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

prune8.0ms (0.3%)

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)
▶	74.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	49.3%	(+.f64 (*.f64 1/2 x) 1)
	49.1%	1
▶	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	74.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
▶	49.3%	(+.f64 (*.f64 1/2 x) 1)
	49.1%	1

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize69.0ms (2.7%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(/.f64 x (expm1.f64 x))
✓	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(+.f64 1 (/.f64 (expm1.f64 x) x))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	74.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

Compiler

Compiled 49 to 23 computations (53.1% saved)

series5.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	-inf	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
1.0ms	x	@	inf	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
0.0ms	x	@	0	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
0.0ms	x	@	0	(/.f64 x (expm1.f64 x))
0.0ms	x	@	0	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)

rewrite95.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1248×	`prod-diff`
972×	`log-prod`
954×	`fma-def`
596×	`pow-prod-down`
506×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	74
1	263	50
2	3290	50

Stop Event

1×	node limit

Counts

4 → 348

Calls

Call 1

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

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

simplify140.0ms (5.4%)

Algorithm

1×	egg-herbie

Rules

1874×	`fma-neg`
736×	`div-sub`
588×	`exp-prod`
556×	`log-prod`
380×	`cube-prod`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	483	9520
1	1072	8644
2	3844	8644

Stop Event

1×	node limit

Counts

396 → 312

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)
2
(+.f64 (*.f64 1/2 x) 2)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.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))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(+.f64 0 (/.f64 (expm1.f64 x) x))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (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 1 (/.f64 (expm1.f64 x) x))
(*.f64 (expm1.f64 x) (/.f64 1 x))
(*.f64 (/.f64 (expm1.f64 x) x) 1)
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 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 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(*.f64 (/.f64 1 x) (expm1.f64 x))
(*.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.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) (cbrt.f64 (.f64 x x))) (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)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))))
(/.f64 1 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (-.f64 1 (.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1))))
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))) (neg.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (neg.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))) (neg.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.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 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 3)) (+.f64 1 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2) (+.f64 (/.f64 (expm1.f64 x) x) -1))))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (-.f64 1 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 2)) (-.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.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) -2) -1/2)
(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 x (expm1.f64 x))) -2)
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2)) (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x))))) -1)
(pow.f64 (/.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x))))) -1)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -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)))
(log.f64 (+.f64 1 (expm1.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)))
(expm1.f64 (*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1))
(hypot.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (-.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -2)) -1/2))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 (expm1.f64 x) x))) 1/3))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3) 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))) -1/2) 2))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1 -1)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 2) 1)
(-.f64 (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) (/.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(*.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2))
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(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(fma.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1) 0)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(fma.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)) 0)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)
(+.f64 0 (/.f64 x (expm1.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (expm1.f64 x)))) 1)
(*.f64 1 (/.f64 x (expm1.f64 x)))
(*.f64 x (/.f64 1 (expm1.f64 x)))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (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 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (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 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (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 (expm1.f64 x) x) -2) 1/2)
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(pow.f64 (/.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -2))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(log.f64 (+.f64 1 (expm1.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))))
(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 (expm1.f64 x) x)) 1) -1))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (expm1.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) 2))
(log1p.f64 (expm1.f64 (/.f64 x (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))
(+.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)))
(/.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)
2
(+.f64 (*.f64 1/2 x) 2)
(fma.f64 1/2 x 2)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 2))
(fma.f64 1/2 x (fma.f64 1/6 (*.f64 x x) 2))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 2 (*.f64 1/24 (pow.f64 x 3)))))
(fma.f64 1/2 x (+.f64 (fma.f64 1/6 (.f64 x x) 2) (.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) 2)))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
1
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (/.f64 (exp.f64 x) x) 1) (/.f64 1 x))
(+.f64 (/.f64 (exp.f64 x) x) (-.f64 1 (/.f64 1 x)))
(+.f64 1 (/.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))
(+.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)))
(/.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)
(fma.f64 x -1/2 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 1/12 (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 x 1) (.f64 (.f64 x x) 1/12))
(fma.f64 x -1/2 (fma.f64 (*.f64 x x) 1/12 1))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
(fma.f64 -1/720 (pow.f64 x 4) (+.f64 (fma.f64 -1/2 x 1) (.f64 (.f64 x x) 1/12)))
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 x -1/2 (fma.f64 (*.f64 x x) 1/12 1)))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(/.f64 x (-.f64 (exp.f64 x) 1))
(/.f64 x (expm1.f64 x))
(+.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1))
(/.f64 (expm1.f64 x) x)
(+.f64 1 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1))
(/.f64 (expm1.f64 x) x)
(+.f64 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(+.f64 -1 (+.f64 1 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (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 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 (expm1.f64 x) x) 1)
(/.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 (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 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.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 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))))
(/.f64 (.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (/.f64 (expm1.f64 x) x) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.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 (expm1.f64 (.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(.f64 (/.f64 1 (cbrt.f64 (.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(/.f64 (.f64 1 (/.f64 (expm1.f64 x) (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 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) (cbrt.f64 (.f64 x x))) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (.f64 x x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(/.f64 (expm1.f64 x) x)
(.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(/.f64 (.f64 1 (/.f64 (expm1.f64 x) (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(*.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
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(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 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 (log.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -2)) -1/2))
(/.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 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 3) 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))) -1/2) 2))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(fma.f64 1 (/.f64 (expm1.f64 x) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 1 (+.f64 1 (/.f64 (expm1.f64 x) x)) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (expm1.f64 x) (/.f64 1 x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (expm1.f64 x) x) 1 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1 -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 2) (*.f64 (cbrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (*.f64 (cbrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 2) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) (*.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) -1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (expm1.f64 x)) (*.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (/.f64 1 (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(+.f64 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)) -1)
(+.f64 -1 (/.f64 (+.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) (fma.f64 (/.f64 (expm1.f64 x) x) (+.f64 (/.f64 (expm1.f64 x) x) -1) 1)))
(fma.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 (/.f64 (expm1.f64 x) x) 2))) 0)
(/.f64 (.f64 (expm1.f64 (.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 1) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (/.f64 (expm1.f64 x) x) (+.f64 2 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2))))
(/.f64 (expm1.f64 (*.f64 3 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 2) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(fma.f64 (/.f64 1 x) (expm1.f64 x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 1 x) (pow.f64 (/.f64 1 (expm1.f64 x)) -1) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (/.f64 1 (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(+.f64 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x))) -1)
(+.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (-.f64 1 (/.f64 (expm1.f64 x) x))))
(-.f64 -1 (/.f64 (-.f64 1 (pow.f64 (/.f64 x (expm1.f64 x)) -2)) (+.f64 (/.f64 (expm1.f64 x) x) -1)))
(fma.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 (/.f64 (expm1.f64 x) x) 2)) 0)
(.f64 (expm1.f64 (.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (/.f64 1 (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) (+.f64 2 (/.f64 (expm1.f64 x) x)))
(fma.f64 (*.f64 (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1))) (cbrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) (sqrt.f64 (+.f64 (/.f64 (expm1.f64 x) x) -1)) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2)))
(/.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(fma.f64 (/.f64 1 (cbrt.f64 (*.f64 x x))) (/.f64 (expm1.f64 x) (cbrt.f64 x)) 0)
(/.f64 (.f64 1 (/.f64 (expm1.f64 x) (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(fma.f64 (/.f64 1 (sqrt.f64 x)) (/.f64 (expm1.f64 x) (sqrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (*.f64 x x))) (cbrt.f64 (/.f64 (expm1.f64 x) x)) 0)
(.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (cbrt.f64 (.f64 x x))))
(fma.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 (*.f64 x x))) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)) 0)
(/.f64 (.f64 1 (/.f64 (expm1.f64 x) (cbrt.f64 x))) (cbrt.f64 (.f64 x x)))
(/.f64 (/.f64 (expm1.f64 x) (cbrt.f64 (*.f64 x x))) (cbrt.f64 x))
(fma.f64 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)) 0)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) (-.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 1) 1)
(/.f64 (expm1.f64 x) x)
(fma.f64 (+.f64 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x))) 1) (expm1.f64 (*.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))) 0)
(.f64 (+.f64 1 (sqrt.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)))) (expm1.f64 (.f64 1/2 (log1p.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 0 (/.f64 x (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))) (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 x (expm1.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 x (expm1.f64 x)))) 1)
(/.f64 x (expm1.f64 x))
(*.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 x (/.f64 1 (expm1.f64 x)))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 x (expm1.f64 x)) 1)
(/.f64 x (expm1.f64 x))
(.f64 (cbrt.f64 (.f64 x x)) (*.f64 (cbrt.f64 x) (/.f64 1 (expm1.f64 x))))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (expm1.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(*.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2))
(/.f64 x (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (neg.f64 x) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (expm1.f64 x)) x)
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(*.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) 1) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (*.f64 (cbrt.f64 x) 1) (expm1.f64 x)))
(.f64 (cbrt.f64 (.f64 x x)) (/.f64 (cbrt.f64 x) (expm1.f64 x)))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (/.f64 (cbrt.f64 (.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
(/.f64 (.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) (cbrt.f64 (.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2))
(.f64 (/.f64 (cbrt.f64 (.f64 x x)) (sqrt.f64 (expm1.f64 x))) (/.f64 (cbrt.f64 x) (sqrt.f64 (expm1.f64 x))))
(/.f64 (cbrt.f64 (*.f64 x x)) (/.f64 (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 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 x (expm1.f64 x))
(*.f64 (/.f64 1 (neg.f64 (expm1.f64 x))) (neg.f64 x))
(/.f64 x (expm1.f64 x))
(pow.f64 (/.f64 (expm1.f64 x) x) -1)
(/.f64 x (expm1.f64 x))
(pow.f64 (/.f64 x (expm1.f64 x)) 1)
(/.f64 x (expm1.f64 x))
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) 3)
(/.f64 x (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -2) 1/2)
(/.f64 x (expm1.f64 x))
(pow.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3) 1/3)
(/.f64 x (expm1.f64 x))
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) 2)
(/.f64 x (expm1.f64 x))
(pow.f64 (/.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(/.f64 x (expm1.f64 x))
(neg.f64 (/.f64 x (neg.f64 (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -2))
(/.f64 x (expm1.f64 x))
(log.f64 (exp.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 x (expm1.f64 x)))))
(/.f64 x (expm1.f64 x))
(cbrt.f64 (pow.f64 (/.f64 x (expm1.f64 x)) 3))
(/.f64 x (expm1.f64 x))
(cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (expm1.f64 x) 3)))
(/.f64 x (expm1.f64 x))
(expm1.f64 (log1p.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(exp.f64 (log.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1))
(/.f64 x (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) -1))
(/.f64 x (expm1.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) -1))
(/.f64 x (expm1.f64 x))
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1) 1))
(/.f64 x (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 x (expm1.f64 x)))) 3))
(/.f64 x (expm1.f64 x))
(exp.f64 (.f64 (.f64 3 (log.f64 (/.f64 x (expm1.f64 x)))) 1/3))
(/.f64 x (expm1.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 x (expm1.f64 x)))) 2))
(/.f64 x (expm1.f64 x))
(log1p.f64 (expm1.f64 (/.f64 x (expm1.f64 x))))
(/.f64 x (expm1.f64 x))

eval88.0ms (3.4%)

Compiler: Compiled 4931 to 2479 computations (49.7% saved)

prune94.0ms (3.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	357	1	358
Fresh	0	1	1
Picked	1	2	3
Done	0	1	1
Total	358	5	363

Accurracy

100.0%

Counts

363 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	74.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	49.3%	(+.f64 (*.f64 1/2 x) 1)
	49.1%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	74.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	49.3%	(+.f64 (*.f64 1/2 x) 1)
	49.1%	1

Compiler

Compiled 58 to 44 computations (24.1% saved)

localize21.0ms (0.8%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 16 to 7 computations (56.3% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`pow1`
1438×	`add-exp-log`
1438×	`log1p-expm1-u`
1436×	`expm1-log1p-u`
1404×	`add-log-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	161	11
2	2031	11

Stop Event

1×	node limit

Counts

1 → 36

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (/.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 (expm1.f64 x) x) 1)
(*.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 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 -1 (/.f64 1 (/.f64 (neg.f64 x) (expm1.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)) (/.f64 (cbrt.f64 (expm1.f64 x)) (cbrt.f64 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 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)) (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(.f64 (.f64 (/.f64 1 x) 1) (expm1.f64 x))
(.f64 (.f64 (/.f64 1 x) (pow.f64 (cbrt.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 (/.f64 1 (neg.f64 x)) (neg.f64 (expm1.f64 x)))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(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)
(sqrt.f64 (pow.f64 (/.f64 x (expm1.f64 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)))

simplify62.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1700×	`fma-def`
732×	`log-prod`
696×	`div-sub`
576×	`log-div`
432×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	610
1	281	606
2	929	600
3	4352	588

Stop Event

1×	node limit

Counts

48 → 53

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

eval21.0ms (0.8%)

Compiler: Compiled 1251 to 613 computations (51% saved)

prune17.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	115	6	121

Accurracy

100.0%

Counts

121 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	52.7%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
✓	74.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	49.3%	(+.f64 (*.f64 1/2 x) 1)
	49.1%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	52.7%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
✓	74.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
✓	49.3%	(+.f64 (*.f64 1/2 x) 1)
	49.1%	1

Compiler

Compiled 74 to 58 computations (21.6% saved)

localize34.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 20 to 16 computations (20% saved)

series1.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`pow1`
1476×	`log1p-expm1-u`
1476×	`expm1-log1p-u`
1474×	`add-exp-log`
1446×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	15
1	172	15
2	2099	15

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs
(-.f64 (+.f64 1 (/.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 (+.f64 1 (.f64 (pow.f64 x 3) -1/8))) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 1 (*.f64 -1/2 x))))
(.f64 (/.f64 1 (+.f64 (.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))))
(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))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))

simplify55.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

742×	`fma-neg`
598×	`fma-def`
594×	`associate-r`
586×	`associate-/l/`
574×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1022
1	274	868
2	798	762
3	3798	756

Stop Event

1×	node limit

Counts

34 → 55

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)))))
(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)))))))
(/.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)))))
(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)))))))
(-.f64 (+.f64 1 (/.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 (+.f64 1 (.f64 (pow.f64 x 3) -1/8))) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 1 (*.f64 -1/2 x))))
(.f64 (/.f64 1 (+.f64 (.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))))
(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))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))

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 (*.f64 x x) 1/4 (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1))
(+.f64 1 (*.f64 x (fma.f64 x 1/4 1/2)))
(+.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 (fma.f64 x (.f64 x 1/4) (.f64 1/8 (pow.f64 x 3))) (fma.f64 1/2 x 1))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) (fma.f64 1/8 (pow.f64 x 3) 1)))
(+.f64 (*.f64 x (fma.f64 x 1/4 1/2)) (fma.f64 1/8 (pow.f64 x 3) 1))
(/.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 -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 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 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3))) (/.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 -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 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 4 (*.f64 x x)) (+.f64 (/.f64 2 x) (/.f64 16 (pow.f64 x 4)))))
(+.f64 (+.f64 (+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x)) (/.f64 -8 (pow.f64 x 3))) (/.f64 -16 (pow.f64 x 4)))
(-.f64 (+.f64 1 (/.f64 1 (fma.f64 -1/2 x 1))) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 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 x -1/2 1) -2)) (cbrt.f64 (fma.f64 x -1/2 1)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 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 x -1/2 1) -2)) (cbrt.f64 (fma.f64 x -1/2 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 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 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 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 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 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(.f64 (/.f64 1 (+.f64 1 (.f64 (pow.f64 x 3) -1/8))) (+.f64 (.f64 (.f64 x x) 1/4) (-.f64 1 (*.f64 -1/2 x))))
(/.f64 (.f64 1 (fma.f64 (.f64 x x) 1/4 (fma.f64 1/2 x 1))) (+.f64 1 (*.f64 (pow.f64 x 3) -1/8)))
(/.f64 (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/4) 1)) (fma.f64 (pow.f64 x 3) -1/8 1))
(/.f64 (+.f64 1 (*.f64 x (fma.f64 x 1/4 1/2))) (fma.f64 (pow.f64 x 3) -1/8 1))
(.f64 (/.f64 1 (+.f64 (.f64 (*.f64 x x) 1/4) -1)) (fma.f64 -1/2 x -1))
(.f64 (/.f64 1 (fma.f64 (.f64 x x) 1/4 -1)) (fma.f64 -1/2 x -1))
(/.f64 (fma.f64 x -1/2 -1) (fma.f64 x (*.f64 x 1/4) -1))
(pow.f64 (fma.f64 -1/2 x 1) -1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 x -1/2))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(+.f64 1 (-.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1))
(+.f64 (/.f64 1 (fma.f64 x -1/2 1)) 0)
(/.f64 1 (fma.f64 x -1/2 1))

eval23.0ms (0.9%)

Compiler: Compiled 654 to 518 computations (20.8% saved)

prune12.0ms (0.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	53	2	55
Fresh	0	1	1
Picked	0	1	1
Done	0	4	4
Total	53	8	61

Accurracy

100.0%

Counts

61 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	52.7%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
	6.8%	(/.f64 -2 x)
✓	74.8%	(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
	5.8%	(+.f64 (/.f64 -4 (*.f64 x x)) (/.f64 -2 x))
✓	49.3%	(+.f64 (*.f64 1/2 x) 1)
	49.1%	1

Compiler

Compiled 107 to 74 computations (30.8% saved)

regimes11.0ms (0.4%)

Counts

10 → 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 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)

Outputs
(/.f64 (expm1.f64 x) 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 65 to 41 computations (36.9% saved)

regimes7.0ms (0.3%)

Counts

5 → 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))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
52.7%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes8.0ms (0.3%)

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:

7.0ms

Results

Accuracy	Segments	Branch
54.0%	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
52.8%	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:

3.0ms

Results

Accuracy	Segments	Branch
49.1%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch20.0ms (0.8%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
20.0ms	-2060799195.452234	-1.9595448086941918e-11

Results

18.0ms

176×

body

256

valid

Compiler

Compiled 143 to 118 computations (17.5% saved)

bsearch19.0ms (0.7%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	-2060799195.452234	-1.9595448086941918e-11

Results

17.0ms

176×

body

256

valid

Compiler

Compiled 99 to 85 computations (14.1% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	77
1	30	77

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.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
(/.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 37 to 29 computations (21.6% saved)

soundness213.0ms (8.2%)

Rules

1248×	`prod-diff`
1246×	`pow1`
1146×	`add-exp-log`
1146×	`log1p-expm1-u`
1144×	`expm1-log1p-u`

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	12	74
1	263	50
2	3290	50

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 91 to 46 computations (49.5% saved)

end0.0ms (0%)

preprocess73.0ms (2.8%)

Compiler: Compiled 126 to 90 computations (28.6% 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 (43.3%)

preprocess75.0ms (2.9%)

simplify20.0ms (0.8%)

eval0.0ms (0%)

prune1.0ms (0%)

localize18.0ms (0.7%)

series1.0ms (0.1%)

rewrite53.0ms (2.1%)

simplify60.0ms (2.3%)

eval9.0ms (0.3%)

prune8.0ms (0.3%)

localize69.0ms (2.7%)

series5.0ms (0.2%)

rewrite95.0ms (3.7%)

simplify140.0ms (5.4%)

eval88.0ms (3.4%)

prune94.0ms (3.6%)

localize21.0ms (0.8%)

series0.0ms (0%)

rewrite57.0ms (2.2%)

simplify62.0ms (2.4%)

eval21.0ms (0.8%)

prune17.0ms (0.6%)

localize34.0ms (1.3%)

series1.0ms (0.1%)

rewrite59.0ms (2.3%)

simplify55.0ms (2.1%)

eval23.0ms (0.9%)

prune12.0ms (0.5%)

regimes11.0ms (0.4%)

regimes7.0ms (0.3%)

regimes8.0ms (0.3%)

regimes6.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch20.0ms (0.8%)

bsearch19.0ms (0.7%)

simplify7.0ms (0.3%)

soundness213.0ms (8.2%)

end0.0ms (0%)

preprocess73.0ms (2.8%)

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