Metrics for Kahan's exp quotient

analyze1.0ms (0.1%)

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)

sample1.2s (58.6%)

Results

561.0ms	2081×	body	1024	valid
224.0ms	2841×	body	256	valid
184.0ms	1047×	body	512	valid
173.0ms	2088×	body	256	infinite
48.0ms	199×	body	2048	valid

Bogosity

preprocess104.0ms (5%)

Algorithm

1×	egg-herbie

Rules

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

Problems

131×	`(-.f64 (exp.f64 x) 1)`
125×	No Errors

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	41
1	29	41
2	47	41
3	79	41
4	185	41
5	543	41
6	1635	41
7	5797	41

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 23 to 14 computations (39.1% saved)

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize25.0ms (1.2%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

series2.0ms (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)

rewrite83.0ms (3.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

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

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

simplify50.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1756×	`fma-def`
772×	`log-prod`
580×	`div-sub`
574×	`log-div`
402×	`associate-*r/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	96	551
1	227	547
2	789	539
3	4125	527

Stop Event

1×	node limit

Counts

43 → 47

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.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 1 (*.f64 1/2 x))
(fma.f64 1/2 x 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/2 x (.f64 x (.f64 x 1/6))))
(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 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (.f64 x x) (.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (.f64 x (.f64 x 1/6)))))
(fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/2 x (fma.f64 x (*.f64 x 1/6) 1)))
(fma.f64 1/2 x (fma.f64 (*.f64 x x) (fma.f64 x 1/24 1/6) 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 (0.4%)

Compiler: Compiled 436 to 218 computations (50% saved)

prune15.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	4	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Accuracy

100.0%

Counts

48 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	52.2%	(+.f64 1 (*.f64 1/2 x))
▶	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	100.0%	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
	51.2%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	52.2%	(+.f64 1 (*.f64 1/2 x))
▶	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
▶	100.0%	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
	51.2%	1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize188.0ms (9%)

Localize:

Found 4 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
✓	99.6%	(log1p.f64 (/.f64 (expm1.f64 x) x))

Compiler

Compiled 44 to 20 computations (54.5% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log1p.f64 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	-inf	(log1p.f64 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	0	(log1p.f64 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	-inf	(*.f64 (/.f64 1 x) (expm1.f64 x))
0.0ms	x	@	0	(*.f64 (/.f64 1 x) (expm1.f64 x))

rewrite69.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1664×	`pow1`
1532×	`log1p-expm1-u`
1530×	`add-exp-log`
1528×	`expm1-log1p-u`
1496×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	200	37
2	2155	37

Stop Event

1×	node limit

Counts

3 → 101

Calls

Call 1

Inputs
(log1p.f64 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 1 x) (expm1.f64 x))

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

simplify60.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

1944×	`fma-def`
1328×	`unswap-sqr`
1108×	`distribute-lft-in`
404×	`log-prod`
338×	`distribute-lft-neg-out`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	207	2597
1	503	2317
2	2036	2241

Stop Event

1×	node limit

Counts

137 → 115

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(+.f64 (log.f64 2) (+.f64 (.f64 5/96 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/192 (pow.f64 x 3)) (+.f64 (.f64 5/96 (pow.f64 x 2)) (*.f64 1/4 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) x)))) (/.f64 1 x))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) x))) (/.f64 1 x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) x)))) (/.f64 1 x))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(-.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(*.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3)
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2)
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 2))
(log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 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 (/.f64 1 x) (expm1.f64 x))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.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 (cbrt.f64 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (expm1.f64 x)))
(*.f64 (neg.f64 (expm1.f64 x)) (/.f64 1 (neg.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (sqrt.f64 x)) (/.f64 (cbrt.f64 (expm1.f64 x)) (sqrt.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) 1) (/.f64 (sqrt.f64 (expm1.f64 x)) x))
(*.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (sqrt.f64 (expm1.f64 x)) (cbrt.f64 x)))
(.f64 (.f64 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(.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 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(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))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (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 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(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))
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (/.f64 (pow.f64 x -2) x)))
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (expm1.f64 x) 3)))
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (*.f64 1/4 x))
(fma.f64 1/4 x (log.f64 2))
(+.f64 (log.f64 2) (+.f64 (.f64 5/96 (pow.f64 x 2)) (.f64 1/4 x)))
(+.f64 (log.f64 2) (fma.f64 5/96 (.f64 x x) (.f64 1/4 x)))
(fma.f64 (*.f64 5/96 x) x (fma.f64 1/4 x (log.f64 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/192 (pow.f64 x 3)) (+.f64 (.f64 5/96 (pow.f64 x 2)) (*.f64 1/4 x))))
(+.f64 (log.f64 2) (fma.f64 1/192 (pow.f64 x 3) (fma.f64 5/96 (.f64 x x) (.f64 1/4 x))))
(+.f64 (fma.f64 1/192 (pow.f64 x 3) (.f64 x (.f64 x 5/96))) (fma.f64 1/4 x (log.f64 2)))
(fma.f64 1/192 (pow.f64 x 3) (fma.f64 (*.f64 5/96 x) x (fma.f64 1/4 x (log.f64 2))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (.f64 x x))) (/.f64 (expm1.f64 x) x))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) x))) (/.f64 1 x))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x)) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (exp.f64 x) x))) (/.f64 1 x))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 (expm1.f64 x) x))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (expm1.f64 x) x)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) x)))) (/.f64 1 x))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (exp.f64 x) x)))) (/.f64 1 x))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 (expm1.f64 x) x)))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (fma.f64 -1/4 (pow.f64 (/.f64 (expm1.f64 x) x) 4) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (expm1.f64 x) x))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (*.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (/.f64 (exp.f64 x) x)) (/.f64 1 x))
(+.f64 (.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (.f64 x x))) (/.f64 (expm1.f64 x) x))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (/.f64 (expm1.f64 x) x))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) x))) (/.f64 1 x))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x)) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (exp.f64 x) x))) (/.f64 1 x))
(+.f64 (fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 (expm1.f64 x) x))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (expm1.f64 x) x)))
(-.f64 (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 2) (pow.f64 x 2))) (+.f64 (.f64 -1/4 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 4) (pow.f64 x 4))) (+.f64 (*.f64 1/3 (/.f64 (pow.f64 (-.f64 (exp.f64 x) 1) 3) (pow.f64 x 3))) (/.f64 (exp.f64 x) x)))) (/.f64 1 x))
(-.f64 (fma.f64 -1/2 (/.f64 (pow.f64 (expm1.f64 x) 2) (*.f64 x x)) (fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (exp.f64 x) x)))) (/.f64 1 x))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (+.f64 (fma.f64 -1/4 (/.f64 (pow.f64 (expm1.f64 x) 4) (pow.f64 x 4)) (*.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3))) (/.f64 (expm1.f64 x) x)))
(fma.f64 -1/2 (pow.f64 (/.f64 (expm1.f64 x) x) 2) (fma.f64 -1/4 (pow.f64 (/.f64 (expm1.f64 x) x) 4) (fma.f64 1/3 (pow.f64 (/.f64 (expm1.f64 x) x) 3) (/.f64 (expm1.f64 x) x))))
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(fma.f64 x 1/2 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (.f64 x 1/2)))
(+.f64 (fma.f64 x 1/2 1) (.f64 x (.f64 x 1/6)))
(fma.f64 x (*.f64 x 1/6) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (.f64 x x) (.f64 x 1/2))))
(+.f64 (fma.f64 (pow.f64 x 3) 1/24 (.f64 x (.f64 x 1/6))) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) (fma.f64 x 1/2 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
1
(+.f64 1 (*.f64 1/2 x))
(+.f64 1 (*.f64 x 1/2))
(fma.f64 x 1/2 1)
(+.f64 1 (+.f64 (.f64 1/6 (pow.f64 x 2)) (.f64 1/2 x)))
(+.f64 1 (fma.f64 1/6 (.f64 x x) (.f64 x 1/2)))
(+.f64 (fma.f64 x 1/2 1) (.f64 x (.f64 x 1/6)))
(fma.f64 x (*.f64 x 1/6) (fma.f64 x 1/2 1))
(+.f64 1 (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/6 (pow.f64 x 2)) (*.f64 1/2 x))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 3) (fma.f64 1/6 (.f64 x x) (.f64 x 1/2))))
(+.f64 (fma.f64 (pow.f64 x 3) 1/24 (.f64 x (.f64 x 1/6))) (fma.f64 x 1/2 1))
(fma.f64 (pow.f64 x 3) 1/24 (fma.f64 x (*.f64 x 1/6) (fma.f64 x 1/2 1)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2) (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(*.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 1)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (cbrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3) 1/3)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(pow.f64 (sqrt.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 2)
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(sqrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 2))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(log.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(cbrt.f64 (pow.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)) 3))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(expm1.f64 (log1p.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(exp.f64 (log.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))))
(+.f64 (+.f64 1 (log1p.f64 (/.f64 (expm1.f64 x) x))) -1)
(log1p.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 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 (/.f64 1 x) (expm1.f64 x))
(/.f64 (expm1.f64 x) x)
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)) (cbrt.f64 (/.f64 (expm1.f64 x) x)))
(*.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) (cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2)))
(.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 (pow.f64 x -2)) (.f64 (/.f64 1 (cbrt.f64 x)) (expm1.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (expm1.f64 x) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(.f64 (sqrt.f64 (expm1.f64 x)) (.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 1 x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (pow.f64 x -1/2) (/.f64 (expm1.f64 x) (sqrt.f64 x)))
(/.f64 (expm1.f64 x) (/.f64 (sqrt.f64 x) (pow.f64 x -1/2)))
(.f64 (pow.f64 x -1/2) (.f64 (pow.f64 x -1/2) (expm1.f64 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 (pow.f64 (cbrt.f64 x) 2)) (/.f64 (expm1.f64 x) (cbrt.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 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 (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 (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 (expm1.f64 x) (cbrt.f64 (pow.f64 x -2))) (/.f64 1 (cbrt.f64 x)))
(.f64 (cbrt.f64 (pow.f64 x -2)) (.f64 (expm1.f64 x) (/.f64 1 (cbrt.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 x -2)) (/.f64 (expm1.f64 x) (cbrt.f64 x)))
(*.f64 (expm1.f64 x) (/.f64 (cbrt.f64 (pow.f64 x -2)) (cbrt.f64 x)))
(.f64 (.f64 (expm1.f64 x) (pow.f64 x -1/2)) (pow.f64 x -1/2))
(/.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 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(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)
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (/.f64 (pow.f64 x -2) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(/.f64 (expm1.f64 x) x)
(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)
(+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) -1)
(/.f64 (expm1.f64 x) x)
(-.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (-.f64 (pow.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 3) 1) (+.f64 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) (+.f64 1 (.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3) -1) (fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 (/.f64 (expm1.f64 x) x) 2)))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (fma.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 2 (/.f64 (expm1.f64 x) x))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) 3)) (+.f64 1 (*.f64 (+.f64 1 (/.f64 (expm1.f64 x) x)) (+.f64 2 (/.f64 (expm1.f64 x) x)))))
(/.f64 (-.f64 (*.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) (+.f64 (/.f64 (expm1.f64 x) x) 1)) 1) (+.f64 (+.f64 (/.f64 (expm1.f64 x) x) 1) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(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)
(cbrt.f64 (*.f64 (pow.f64 (expm1.f64 x) 3) (/.f64 (pow.f64 x -2) x)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (*.f64 (/.f64 (pow.f64 x -2) x) (pow.f64 (expm1.f64 x) 3)))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval39.0ms (1.8%)

Compiler: Compiled 1936 to 1000 computations (48.3% saved)

prune20.0ms (1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	162	0	162
Fresh	0	1	1
Picked	0	3	3
Done	0	1	1
Total	162	5	167

Accuracy

100.0%

Counts

167 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.2%	(+.f64 1 (*.f64 1/2 x))
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	100.0%	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
	51.2%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.2%	(+.f64 1 (*.f64 1/2 x))
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	100.0%	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
	51.2%	1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune4.0ms (0.2%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.2%	(+.f64 1 (*.f64 1/2 x))
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	100.0%	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
	51.2%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.2%	(+.f64 1 (*.f64 1/2 x))
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	100.0%	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
	51.2%	1

Compiler

Compiled 54 to 40 computations (25.9% saved)

localize0.0ms (0%)

eval0.0ms (0%)

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

prune3.0ms (0.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

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

Accuracy

100.0%

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	52.2%	(+.f64 1 (*.f64 1/2 x))
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
✓	100.0%	(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
	51.2%	1

Compiler

Compiled 56 to 37 computations (33.9% saved)

regimes10.0ms (0.5%)

Counts

6 → 1

Calls

Call 1

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

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 38 to 23 computations (39.5% saved)

regimes4.0ms (0.2%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
52.2%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% 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
51.2%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	14	25

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 13 to 10 computations (23.1% saved)

soundness125.0ms (6%)

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	41
1	29	41
2	47	41
3	79	41
4	185	41
5	543	41
6	1635	41
7	5797	41

Stop Event

1×	node limit

Compiler

Compiled 11 to 7 computations (36.4% saved)

end0.0ms (0%)

preprocess46.0ms (2.2%)

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

analyze1.0ms (0.1%)

sample1.2s (58.6%)

preprocess104.0ms (5%)

eval0.0ms (0%)

prune1.0ms (0%)

localize25.0ms (1.2%)

series2.0ms (0.1%)

rewrite83.0ms (3.9%)

simplify50.0ms (2.4%)

eval9.0ms (0.4%)

prune15.0ms (0.7%)

localize188.0ms (9%)

series2.0ms (0.1%)

rewrite69.0ms (3.3%)

simplify60.0ms (2.9%)

eval39.0ms (1.8%)

prune20.0ms (1%)

localize0.0ms (0%)

eval0.0ms (0%)

prune4.0ms (0.2%)

localize0.0ms (0%)

eval0.0ms (0%)

prune3.0ms (0.1%)

regimes10.0ms (0.5%)

regimes4.0ms (0.2%)

regimes3.0ms (0.1%)

simplify5.0ms (0.2%)

soundness125.0ms (6%)

end0.0ms (0%)

preprocess46.0ms (2.2%)

Profiling