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 (37.1%)

Results

466.0ms	2062×	body	1024	valid
265.0ms	2864×	body	256	valid
155.0ms	1053×	body	512	valid
153.0ms	2034×	body	256	infinite
59.0ms	243×	body	2048	valid

Bogosity

preprocess60.0ms (2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Calls

Call 1

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

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

Compiler

Compiled 8 to 6 computations (25% saved)

simplify17.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Accurracy

100.0%

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 10 to 6 computations (40% saved)

localize20.0ms (0.7%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 9 to 4 computations (55.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.8%)

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)))

simplify51.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

43 → 46

Calls

Call 1

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

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

eval8.0ms (0.3%)

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

prune10.0ms (0.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	6	47

Accurracy

100.0%

Counts

47 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
▶	99.8%	(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	52.1%	(+.f64 (*.f64 1/2 x) 1)
▶	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1
▶	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
▶	99.8%	(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	52.1%	(+.f64 (*.f64 1/2 x) 1)
▶	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1

Compiler

Compiled 70 to 52 computations (25.7% saved)

localize80.0ms (2.7%)

Local Accuracy

Found 6 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (/.f64 x (expm1.f64 x)) -1)
✓	100.0%	(/.f64 x (expm1.f64 x))
	100.0%	(/.f64 (expm1.f64 x) x)
✓	99.8%	(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
✓	99.6%	(sqrt.f64 (/.f64 (expm1.f64 x) x))
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))

Compiler

Compiled 60 to 26 computations (56.7% saved)

series7.0ms (0.2%)

Counts

5 → 44

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
1.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
1.0ms	x	@	-inf	(sqrt.f64 (/.f64 (expm1.f64 x) x))
1.0ms	x	@	inf	(sqrt.f64 (/.f64 (expm1.f64 x) x))
0.0ms	x	@	inf	(pow.f64 (/.f64 x (expm1.f64 x)) -1)

rewrite94.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1012×	`log-prod`
800×	`prod-exp`
642×	`pow-prod-down`
536×	`pow-exp`
530×	`pow-prod-up`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	310	59
2	2879	59

Stop Event

1×	node limit

Counts

5 → 375

Calls

Call 1

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

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

simplify112.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

636×	`log-prod`
626×	`exp-prod`
466×	`sqr-pow`
404×	`distribute-lft-neg-out`
362×	`cube-prod`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	486	4294973623
1	1041	6209
2	3376	6185

Stop Event

1×	node limit

Counts

419 → 275

Calls

Call 1

Inputs
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) 1))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/6 (pow.f64 x 2)) (+.f64 1 (*.f64 1/24 (pow.f64 x 3)))))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 (-.f64 (exp.f64 x) 1) x)
1
(+.f64 1 (*.f64 1/4 x))
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1
(+.f64 (*.f64 1/2 x) 1)
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1
(+.f64 (*.f64 -1/2 x) 1)
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1
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(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
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(exp.f64 (+.f64 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
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(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
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(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(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))
(+.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 1 (*.f64 1/4 x))
(+.f64 1 (*.f64 x 1/4))
(fma.f64 x 1/4 1)
(+.f64 1 (+.f64 (.f64 1/4 x) (.f64 5/96 (pow.f64 x 2))))
(+.f64 1 (fma.f64 1/4 x (.f64 (.f64 x x) 5/96)))
(+.f64 1 (fma.f64 x 1/4 (.f64 (.f64 x x) 5/96)))
(+.f64 1 (fma.f64 (.f64 x x) 5/96 (.f64 x 1/4)))
(+.f64 1 (+.f64 (.f64 1/4 x) (+.f64 (.f64 1/128 (pow.f64 x 3)) (*.f64 5/96 (pow.f64 x 2)))))
(+.f64 1 (fma.f64 1/4 x (fma.f64 1/128 (pow.f64 x 3) (.f64 (.f64 x x) 5/96))))
(+.f64 1 (fma.f64 x 1/4 (fma.f64 (.f64 x x) 5/96 (.f64 (pow.f64 x 3) 1/128))))
(+.f64 (fma.f64 x 1/4 1) (fma.f64 (.f64 x x) 5/96 (.f64 (pow.f64 x 3) 1/128)))
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)))
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))
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)
(+.f64 0 (/.f64 (expm1.f64 x) x))
(/.f64 (expm1.f64 x) x)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))) 2)) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (expm1.f64 x) x))) 1)
(/.f64 (expm1.f64 x) x)
(-.f64 (/.f64 (exp.f64 x) x) (/.f64 1 x))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (/.f64 (/.f64 x (expm1.f64 x)) 1))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 1 x) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) (sqrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 -1 (neg.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2) (/.f64 x (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (sqrt.f64 (expm1.f64 x)) (/.f64 x (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (neg.f64 (neg.f64 (expm1.f64 x))) (neg.f64 (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) (sqrt.f64 x)) (sqrt.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (/.f64 (expm1.f64 x) 1) x)
(/.f64 (expm1.f64 x) x)
(/.f64 (*.f64 (expm1.f64 x) -1) (neg.f64 x))
(/.f64 (expm1.f64 x) x)
(/.f64 (pow.f64 (*.f64 (/.f64 (expm1.f64 x) x) (expm1.f64 x)) 1/2) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (/.f64 (expm1.f64 x) x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x)) (sqrt.f64 x))
(/.f64 (pow.f64 (*.f64 (expm1.f64 x) (/.f64 (expm1.f64 x) x)) 1/2) (sqrt.f64 x))
(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (/.f64 (expm1.f64 x) x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x)) (sqrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2) (cbrt.f64 (/.f64 x (expm1.f64 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 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x)) 3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -3)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/6) 6)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2) 1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -2) -1/2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -3) -1/3)
(*.f64 (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -3) -1/6) (pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) -3) -1/6))
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3/2) 2/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (sqrt.f64 (/.f64 x (expm1.f64 x))) -2)
(/.f64 (expm1.f64 x) x)
(pow.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 1/4) 4)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)) 1/3)
(/.f64 (expm1.f64 x) x)
(pow.f64 (/.f64 (/.f64 x (expm1.f64 x)) 1) -1)
(/.f64 (expm1.f64 x) x)
(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)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1) -1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (expm1.f64 x) x))) 1/2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(/.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 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) -1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(+.f64 0 (sqrt.f64 (/.f64 (expm1.f64 x) x)))
(sqrt.f64 (/.f64 (expm1.f64 x) x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))))))
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(/.f64 (sqrt.f64 (*.f64 (expm1.f64 x) (/.f64 (expm1.f64 x) x))) (sqrt.f64 x))
(/.f64 (sqrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 2) x)) (sqrt.f64 x))
(/.f64 (pow.f64 (cbrt.f64 (/.f64 x (expm1.f64 x))) -2) (cbrt.f64 (/.f64 x (expm1.f64 x))))
(/.f64 (/.f64 (expm1.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))
(/.f64 (expm1.f64 x) x)
(neg.f64 (/.f64 (expm1.f64 x) (neg.f64 x)))
(/.f64 (expm1.f64 x) x)
(sqrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 2))
(/.f64 (expm1.f64 x) x)
(log.f64 (exp.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (expm1.f64 x) x))))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3))
(/.f64 (expm1.f64 x) x)
(cbrt.f64 (/.f64 (pow.f64 (expm1.f64 x) 3) (pow.f64 x 3)))
(/.f64 (expm1.f64 x) x)
(expm1.f64 (log1p.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (log.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1) 1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) 2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) 1) -1))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (/.f64 (expm1.f64 x) x))) 3))
(/.f64 (expm1.f64 x) x)
(exp.f64 (.f64 (.f64 2 (log.f64 (/.f64 (expm1.f64 x) x))) 1/2))
(/.f64 (expm1.f64 x) x)
(exp.f64 (*.f64 (log.f64 (pow.f64 (/.f64 (expm1.f64 x) x) 3)) 1/3))
(/.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 (neg.f64 (log.f64 x)) (*.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 x) -1) (log.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 x) -1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (neg.f64 (log.f64 x)) 1) (log.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (neg.f64 (log.f64 x)) 1) (.f64 (log.f64 (expm1.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (log.f64 x) -1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (expm1.f64 x)) (*.f64 (neg.f64 (log.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (expm1.f64 x)) 1) (neg.f64 (log.f64 x))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (log.f64 x) -1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (expm1.f64 x)) 1) (.f64 (neg.f64 (log.f64 x)) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2) (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2) (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (*.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)))))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (/.f64 x (expm1.f64 x))) -1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (/.f64 (expm1.f64 x) x)) 1/2)))
(/.f64 (expm1.f64 x) x)
(exp.f64 (+.f64 (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1) (.f64 (log.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x))) 1)))
(/.f64 (expm1.f64 x) x)
(log1p.f64 (expm1.f64 (/.f64 (expm1.f64 x) x)))
(/.f64 (expm1.f64 x) x)

eval71.0ms (2.4%)

Compiler: Compiled 3594 to 1762 computations (51% saved)

prune60.0ms (2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	320	1	321
Fresh	0	1	1
Picked	1	3	4
Done	0	1	1
Total	321	6	327

Accurracy

100.0%

Counts

327 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.8%	(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	52.1%	(+.f64 (*.f64 1/2 x) 1)
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1
✓	99.8%	(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)
✓	100.0%	(/.f64 (expm1.f64 x) x)
▶	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
✓	52.1%	(+.f64 (*.f64 1/2 x) 1)
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1

Compiler

Compiled 70 to 52 computations (25.7% saved)

localize48.0ms (1.6%)

Local Accuracy

Found 2 expressions with local accuracy:

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

rewrite112.0ms (3.7%)

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)))

simplify54.0ms (1.8%)

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)

eval81.0ms (2.7%)

Compiler: Compiled 1500 to 770 computations (48.7% saved)

prune20.0ms (0.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	0	1	1
Picked	0	1	1
Done	1	3	4
Total	135	7	142

Accurracy

100.0%

Counts

142 → 7

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)))
▶	51.1%	(/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))))
▶	55.4%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
✓	52.1%	(+.f64 (*.f64 1/2 x) 1)
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1
✓	100.0%	(/.f64 (expm1.f64 x) x)
✓	100.0%	(/.f64 1 (/.f64 x (expm1.f64 x)))
▶	51.1%	(/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))))
▶	55.4%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
✓	52.1%	(+.f64 (*.f64 1/2 x) 1)
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1

Compiler

Compiled 110 to 88 computations (20% saved)

localize158.0ms (5.3%)

Local Accuracy

Found 5 expressions with local accuracy:

New	Accuracy	Program
✓	99.8%	(*.f64 -1/720 (pow.f64 x 4))
✓	99.8%	(*.f64 1/12 (pow.f64 x 2))
✓	99.7%	(/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))))
✓	70.7%	(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
✓	100.0%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))

Compiler

Compiled 100 to 81 computations (19% saved)

series7.0ms (0.2%)

Counts

5 → 35

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))))
0.0ms	x	@	0	(*.f64 -1/720 (pow.f64 x 4))
0.0ms	x	@	0	(*.f64 1/12 (pow.f64 x 2))
0.0ms	x	@	inf	(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
0.0ms	x	@	inf	(*.f64 -1/720 (pow.f64 x 4))

rewrite106.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1048×	`fma-neg`
728×	`expm1-udef`
722×	`log1p-udef`
442×	`add-sqr-sqrt`
424×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	129
1	456	121
2	5949	121

Stop Event

1×	node limit

Counts

5 → 141

Calls

Call 1

Inputs
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2)))))
(/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))))
(*.f64 1/12 (pow.f64 x 2))
(*.f64 -1/720 (pow.f64 x 4))

Outputs
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1))
(.f64 (/.f64 1 (+.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 -1)) (fma.f64 -1/2 x -1))
(pow.f64 (fma.f64 -1/2 x 1) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 x)) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))) 1)
(-.f64 (/.f64 (.f64 1/518400 (pow.f64 x 8)) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (/.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))))
(.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))
(.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) 1)
(.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4)))))))
(.f64 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2)) (/.f64 1 (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(/.f64 1 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4))))) (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2))))
(/.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))))
(/.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) -1/2))
(/.f64 (neg.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) -1)
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (*.f64 -1/720 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2) (-.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 -1/720 (.f64 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))))
(/.f64 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))) (neg.f64 (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (*.f64 -1/720 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2))) (neg.f64 (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) 3) (pow.f64 (fma.f64 1/12 (.f64 x x) 1) 3)) (+.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x))) (-.f64 (pow.f64 (fma.f64 1/12 (.f64 x x) 1) 2) (.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) (fma.f64 1/12 (*.f64 x x) 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2) (.f64 1/518400 (pow.f64 x 8))) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x))) (pow.f64 (fma.f64 1/12 (.f64 x x) 1) 2)) (-.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) (fma.f64 1/12 (.f64 x x) 1)))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 2))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 4)))) (exp.f64 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(log.f64 (.f64 (exp.f64 (fma.f64 1/12 (.f64 x x) 1)) (exp.f64 (fma.f64 -1/720 (pow.f64 x 4) (*.f64 -1/2 x)))))
(log.f64 (.f64 (exp.f64 (fma.f64 1/12 (.f64 x x) 1)) (*.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (pow.f64 (exp.f64 x) -1/2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (.f64 x x) 1))) (exp.f64 (fma.f64 -1/720 (pow.f64 x 4) (*.f64 -1/2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (.f64 x x) 1))) (*.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (pow.f64 (exp.f64 x) -1/2))))
(log.f64 (.f64 (exp.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (pow.f64 (exp.f64 -1/720) (pow.f64 x 4))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4))))))
(log.f64 (.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x))) (+.f64 1 (expm1.f64 (fma.f64 1/12 (*.f64 x x) 1)))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (pow.f64 (exp.f64 x) -1/2)) (exp.f64 (fma.f64 1/12 (*.f64 x x) 1))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (pow.f64 (exp.f64 x) -1/2)) (+.f64 1 (expm1.f64 (fma.f64 1/12 (*.f64 x x) 1)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(fma.f64 1 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))
(fma.f64 1 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4)))
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (*.f64 -1/720 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 1/518400 (pow.f64 x 8))) (cbrt.f64 (.f64 -1/720 (pow.f64 x 4))) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (sqrt.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (*.f64 -1/720 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 -1/720)) (.f64 (.f64 x x) (sqrt.f64 -1/720)) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))) 1)
(.f64 1 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))))
(.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 1)
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))) (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) -1/2) (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) -1))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4))))))
(.f64 (/.f64 1 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2))) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(-.f64 (fma.f64 1/12 (*.f64 x x) 1) 1)
(pow.f64 (.f64 x (.f64 x 1/12)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/12))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/1728) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/12)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/1728))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/12))))
(expm1.f64 (.f64 (log1p.f64 (.f64 x (*.f64 x 1/12))) 1))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/12))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/12))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/12))))
(fma.f64 1 (fma.f64 1/12 (*.f64 x x) 1) -1)
(fma.f64 (fma.f64 1/12 (*.f64 x x) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/12))) (hypot.f64 1 (.f64 x (sqrt.f64 1/12))) -1)
(fma.f64 (+.f64 1 (.f64 (pow.f64 x 6) 1/1728)) (/.f64 1 (-.f64 (+.f64 1 (.f64 (pow.f64 x 4) 1/144)) (.f64 x (.f64 x 1/12)))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/144)) (/.f64 1 (-.f64 1 (.f64 x (*.f64 x 1/12)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/720 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/720)) 2)
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4))))

simplify107.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-+r+`
698×	`associate-+l+`
574×	`fma-neg`
406×	`sqr-pow`
406×	`cancel-sign-sub-inv`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	6902
1	1053	6712
2	3540	6474

Stop Event

1×	node limit

Counts

176 → 244

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)))))))
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 1/12 (pow.f64 x 2))))
(*.f64 -1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))))
(*.f64 -1/720 (pow.f64 x 4))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (.f64 1/12 (pow.f64 x 2)))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2))))
(+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 -1/2 x) (*.f64 1/12 (pow.f64 x 2)))))
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 -720 (pow.f64 x 4))
(neg.f64 (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (.f64 43200 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (*.f64 43200 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 8))) (.f64 43200 (/.f64 1 (pow.f64 x 6))))))
(/.f64 -720 (pow.f64 x 4))
(neg.f64 (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (.f64 43200 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (*.f64 43200 (/.f64 1 (pow.f64 x 6)))))
(-.f64 (.f64 259200 (/.f64 1 (pow.f64 x 7))) (+.f64 (.f64 720 (/.f64 1 (pow.f64 x 4))) (+.f64 (.f64 3110400 (/.f64 1 (pow.f64 x 8))) (.f64 43200 (/.f64 1 (pow.f64 x 6))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1)))) 1)
(*.f64 1 (/.f64 1 (fma.f64 -1/2 x 1)))
(*.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(*.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))))
(*.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) (pow.f64 (fma.f64 -1/2 x 1) -1/2))
(*.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/2 x 1))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/2 x 1)) -1))
(*.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/2 x 1)) -1))
(.f64 (/.f64 1 (+.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 -1)) (fma.f64 -1/2 x -1))
(pow.f64 (fma.f64 -1/2 x 1) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/2 x 1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/2 x 1) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/2 x 1) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/2 x 1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(exp.f64 (neg.f64 (log1p.f64 (*.f64 -1/2 x))))
(exp.f64 (.f64 (log1p.f64 (.f64 -1/2 x)) -1))
(exp.f64 (.f64 (neg.f64 (log1p.f64 (.f64 -1/2 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/2 x 1))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))) 1)
(-.f64 (/.f64 (.f64 1/518400 (pow.f64 x 8)) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (/.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))))
(.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))
(.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) 1)
(.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 2))
(.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 2) (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3))) (/.f64 1 (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4)))))))
(.f64 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2)) (/.f64 1 (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(/.f64 1 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(/.f64 1 (/.f64 (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4))))) (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))))
(/.f64 1 (/.f64 (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2))))
(/.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 1)
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 2) (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))))
(/.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) -1/2))
(/.f64 (neg.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) -1)
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (*.f64 -1/720 (pow.f64 x 4))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3))) (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2) (-.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 -1/720 (.f64 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))))
(/.f64 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2)) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))) (neg.f64 (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (*.f64 -1/720 (pow.f64 x 4)))))))
(/.f64 (neg.f64 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2))) (neg.f64 (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) 3) (pow.f64 (fma.f64 1/12 (.f64 x x) 1) 3)) (+.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x))) (-.f64 (pow.f64 (fma.f64 1/12 (.f64 x x) 1) 2) (.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) (fma.f64 1/12 (*.f64 x x) 1)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2) (.f64 1/518400 (pow.f64 x 8))) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4))))
(/.f64 (-.f64 (.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x))) (pow.f64 (fma.f64 1/12 (.f64 x x) 1) 2)) (-.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x)) (fma.f64 1/12 (.f64 x x) 1)))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 1)
(pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 3)
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 3) 1/3)
(pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 2))
(log.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(log.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 4)))) (exp.f64 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (.f64 -1/720 (pow.f64 x 4)))) (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(log.f64 (.f64 (exp.f64 (fma.f64 1/12 (.f64 x x) 1)) (exp.f64 (fma.f64 -1/720 (pow.f64 x 4) (*.f64 -1/2 x)))))
(log.f64 (.f64 (exp.f64 (fma.f64 1/12 (.f64 x x) 1)) (*.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (pow.f64 (exp.f64 x) -1/2))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (.f64 x x) 1))) (exp.f64 (fma.f64 -1/720 (pow.f64 x 4) (*.f64 -1/2 x)))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 1/12 (.f64 x x) 1))) (*.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (pow.f64 (exp.f64 x) -1/2))))
(log.f64 (.f64 (exp.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4))))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (pow.f64 (exp.f64 -1/720) (pow.f64 x 4))))
(log.f64 (.f64 (+.f64 1 (expm1.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4))))))
(log.f64 (.f64 (exp.f64 (fma.f64 -1/720 (pow.f64 x 4) (.f64 -1/2 x))) (+.f64 1 (expm1.f64 (fma.f64 1/12 (*.f64 x x) 1)))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (pow.f64 (exp.f64 x) -1/2)) (exp.f64 (fma.f64 1/12 (*.f64 x x) 1))))
(log.f64 (.f64 (.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)) (pow.f64 (exp.f64 x) -1/2)) (+.f64 1 (expm1.f64 (fma.f64 1/12 (*.f64 x x) 1)))))
(cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(exp.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))
(fma.f64 1 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))
(fma.f64 1 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4)))
(fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) 2) (cbrt.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (*.f64 -1/720 (pow.f64 x 4)))
(fma.f64 (cbrt.f64 (.f64 1/518400 (pow.f64 x 8))) (cbrt.f64 (.f64 -1/720 (pow.f64 x 4))) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(fma.f64 (sqrt.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (sqrt.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) (*.f64 -1/720 (pow.f64 x 4)))
(fma.f64 (.f64 (.f64 x x) (sqrt.f64 -1/720)) (.f64 (.f64 x x) (sqrt.f64 -1/720)) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))) 1)
(.f64 1 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))))
(.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 1)
(.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))) (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -2)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) -2)) (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))) -1/2) (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -1/2))
(.f64 -1 (/.f64 1 (neg.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) 2) -1) (pow.f64 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) -1))
(.f64 (pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) -1) (pow.f64 (sqrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) -1))
(.f64 (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 3) (.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))) (+.f64 (.f64 1/518400 (pow.f64 x 8)) (.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (-.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) (.f64 -1/720 (pow.f64 x 4))))))
(.f64 (/.f64 1 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2))) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -1)
(pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 1)
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))) 3)
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 3) 1/3)
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -1/2) 2)
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) -1))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(-.f64 (fma.f64 1/12 (*.f64 x x) 1) 1)
(pow.f64 (.f64 x (.f64 x 1/12)) 1)
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/12))) 3)
(pow.f64 (*.f64 (pow.f64 x 6) 1/1728) 1/3)
(pow.f64 (*.f64 x (sqrt.f64 1/12)) 2)
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/12)))))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/1728))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/12))))
(expm1.f64 (.f64 (log1p.f64 (.f64 x (*.f64 x 1/12))) 1))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/12))))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/12))) 1))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/12))))
(fma.f64 1 (fma.f64 1/12 (*.f64 x x) 1) -1)
(fma.f64 (fma.f64 1/12 (*.f64 x x) 1) 1 -1)
(fma.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) -1)
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/12))) (hypot.f64 1 (.f64 x (sqrt.f64 1/12))) -1)
(fma.f64 (+.f64 1 (.f64 (pow.f64 x 6) 1/1728)) (/.f64 1 (-.f64 (+.f64 1 (.f64 (pow.f64 x 4) 1/144)) (.f64 x (.f64 x 1/12)))) -1)
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/144)) (/.f64 1 (-.f64 1 (.f64 x (*.f64 x 1/12)))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 4)))) 1)
(pow.f64 (*.f64 -1/720 (pow.f64 x 4)) 1)
(pow.f64 (cbrt.f64 (*.f64 -1/720 (pow.f64 x 4))) 3)
(pow.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)) 1/3)
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/720)) 2)
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 8)))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4)))))
(cbrt.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 4))))
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 4))))
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 4))) 1))
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4))))

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 (.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))
(+.f64 (.f64 (.f64 x x) (+.f64 (*.f64 x 1/8) 1/4)) (fma.f64 1/2 x 1))
(/.f64 -2 x)
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(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) 3) 1/3)
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(/.f64 (fma.f64 (pow.f64 x 8) 1/518400 (.f64 (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1)) (+.f64 (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1)) (.f64 (pow.f64 x 4) 1/720)))) (fma.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3) (pow.f64 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1)) 3)))
(/.f64 (fma.f64 (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1)) (fma.f64 (pow.f64 x 4) 1/720 (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1))) (.f64 (pow.f64 x 8) 1/518400)) (fma.f64 -1/373248000 (pow.f64 x 12) (pow.f64 (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1)) 3)))
(.f64 (/.f64 1 (-.f64 (.f64 1/518400 (pow.f64 x 8)) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)) 2))) (-.f64 (.f64 -1/720 (pow.f64 x 4)) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 (.f64 1 (-.f64 (.f64 (pow.f64 x 4) -1/720) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) (-.f64 (.f64 (pow.f64 x 8) 1/518400) (pow.f64 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)) 2)))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) -1/720) (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1))) (-.f64 (.f64 (pow.f64 x 8) 1/518400) (pow.f64 (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1)) 2)))
(/.f64 1 (/.f64 (fma.f64 (pow.f64 x 8) -1/518400 (pow.f64 (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1)) 2)) (fma.f64 (pow.f64 x 4) 1/720 (fma.f64 x -1/2 (fma.f64 x (.f64 x 1/12) 1)))))
(pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -1)
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 1)
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(pow.f64 (/.f64 1 (cbrt.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))) 3)
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(pow.f64 (pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 3) 1/3)
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(pow.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -1/2) 2)
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(sqrt.f64 (pow.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))) -2))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(cbrt.f64 (pow.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1)))) 3))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(exp.f64 (.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1)))) -1))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(exp.f64 (.f64 (neg.f64 (log.f64 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (.f64 x x) 1))))) 1))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 -1/720 (pow.f64 x 4) (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 -1/2 x (fma.f64 1/12 (*.f64 x x) 1))))
(/.f64 1 (fma.f64 (pow.f64 x 4) -1/720 (fma.f64 x -1/2 (fma.f64 x (*.f64 x 1/12) 1))))
(-.f64 (fma.f64 1/12 (*.f64 x x) 1) 1)
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(pow.f64 (.f64 x (.f64 x 1/12)) 1)
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(pow.f64 (cbrt.f64 (.f64 x (.f64 x 1/12))) 3)
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(pow.f64 (*.f64 (pow.f64 x 6) 1/1728) 1/3)
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/1728))
(pow.f64 (*.f64 x (sqrt.f64 1/12)) 2)
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(sqrt.f64 (*.f64 (pow.f64 x 4) 1/144))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 1/12))
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(log.f64 (+.f64 1 (expm1.f64 (.f64 x (.f64 x 1/12)))))
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(cbrt.f64 (*.f64 (pow.f64 x 6) 1/1728))
(expm1.f64 (log1p.f64 (.f64 x (.f64 x 1/12))))
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(expm1.f64 (.f64 (log1p.f64 (.f64 x (*.f64 x 1/12))) 1))
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(exp.f64 (log.f64 (.f64 x (.f64 x 1/12))))
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(exp.f64 (.f64 (log.f64 (.f64 x (*.f64 x 1/12))) 1))
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(log1p.f64 (expm1.f64 (.f64 x (.f64 x 1/12))))
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(fma.f64 1 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(fma.f64 (fma.f64 1/12 (*.f64 x x) 1) 1 -1)
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(fma.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) (pow.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) 2) -1)
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) 2) (cbrt.f64 (fma.f64 1/12 (.f64 x x) 1)) -1)
(+.f64 (fma.f64 1/12 (*.f64 x x) 1) -1)
(+.f64 (.f64 x (.f64 x 1/12)) 0)
(.f64 x (.f64 x 1/12))
(fma.f64 (hypot.f64 1 (.f64 x (sqrt.f64 1/12))) (hypot.f64 1 (.f64 x (sqrt.f64 1/12))) -1)
(fma.f64 (+.f64 1 (.f64 (pow.f64 x 6) 1/1728)) (/.f64 1 (-.f64 (+.f64 1 (.f64 (pow.f64 x 4) 1/144)) (.f64 x (.f64 x 1/12)))) -1)
(fma.f64 (+.f64 1 (.f64 (pow.f64 x 6) 1/1728)) (/.f64 1 (+.f64 1 (-.f64 (.f64 (pow.f64 x 4) 1/144) (.f64 x (.f64 x 1/12))))) -1)
(fma.f64 (fma.f64 (pow.f64 x 6) 1/1728 1) (/.f64 1 (+.f64 1 (fma.f64 (pow.f64 x 4) 1/144 (.f64 (.f64 x x) -1/12)))) -1)
(+.f64 -1 (/.f64 (fma.f64 (pow.f64 x 6) 1/1728 1) (+.f64 1 (fma.f64 (pow.f64 x 4) 1/144 (.f64 x (.f64 x -1/12))))))
(fma.f64 (-.f64 1 (.f64 (pow.f64 x 4) 1/144)) (/.f64 1 (-.f64 1 (.f64 x (*.f64 x 1/12)))) -1)
(+.f64 -1 (/.f64 (+.f64 1 (.f64 (pow.f64 x 4) -1/144)) (+.f64 1 (.f64 x (*.f64 x -1/12)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 4)))) 1)
(*.f64 (pow.f64 x 4) -1/720)
(pow.f64 (*.f64 -1/720 (pow.f64 x 4)) 1)
(*.f64 (pow.f64 x 4) -1/720)
(pow.f64 (cbrt.f64 (*.f64 -1/720 (pow.f64 x 4))) 3)
(*.f64 (pow.f64 x 4) -1/720)
(pow.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)) 1/3)
(cbrt.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))
(cbrt.f64 (*.f64 -1/373248000 (pow.f64 x 12)))
(pow.f64 (.f64 (.f64 x x) (sqrt.f64 -1/720)) 2)
(*.f64 (pow.f64 x 4) -1/720)
(sqrt.f64 (*.f64 1/518400 (pow.f64 x 8)))
(sqrt.f64 (*.f64 (pow.f64 x 8) 1/518400))
(log.f64 (pow.f64 (exp.f64 -1/720) (pow.f64 x 4)))
(*.f64 (pow.f64 x 4) -1/720)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4)))))
(*.f64 (pow.f64 x 4) -1/720)
(cbrt.f64 (*.f64 -1/373248000 (pow.f64 (pow.f64 x 4) 3)))
(cbrt.f64 (*.f64 -1/373248000 (pow.f64 x 12)))
(expm1.f64 (log1p.f64 (*.f64 -1/720 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -1/720)
(exp.f64 (log.f64 (*.f64 -1/720 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -1/720)
(exp.f64 (.f64 (log.f64 (.f64 -1/720 (pow.f64 x 4))) 1))
(*.f64 (pow.f64 x 4) -1/720)
(log1p.f64 (expm1.f64 (*.f64 -1/720 (pow.f64 x 4))))
(*.f64 (pow.f64 x 4) -1/720)

eval121.0ms (4%)

Compiler: Compiled 5382 to 4111 computations (23.6% saved)

prune38.0ms (1.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	241	3	244
Fresh	0	1	1
Picked	1	1	2
Done	0	4	4
Total	242	9	251

Accurracy

100.0%

Counts

251 → 9

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)))
	51.1%	(/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 x (.f64 x 1/12))))))
✓	55.4%	(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
	6.5%	(/.f64 -2 x)
	5.5%	(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))
✓	52.1%	(+.f64 (*.f64 1/2 x) 1)
✓	99.8%	(*.f64 (/.f64 1 x) (expm1.f64 x))
	52.2%	1

Compiler

Compiled 168 to 121 computations (28% saved)

regimes15.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

Inputs
1
(/.f64 -2 x)
(+.f64 (*.f64 1/2 x) 1)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(-.f64 (/.f64 -2 x) (/.f64 4 (*.f64 x x)))
(/.f64 (expm1.f64 x) x)
(*.f64 (/.f64 1 x) (expm1.f64 x))
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (-.f64 (exp.f64 x) 1) x)
(/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 x (.f64 x 1/12))))))
(pow.f64 (/.f64 x (expm1.f64 x)) -1)
(/.f64 1 (+.f64 (.f64 -1/720 (pow.f64 x 4)) (+.f64 (.f64 -1/2 x) (+.f64 1 (*.f64 1/12 (pow.f64 x 2))))))
(pow.f64 (sqrt.f64 (/.f64 (expm1.f64 x) x)) 2)

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

Calls

2 calls:

7.0ms	x
5.0ms	(/.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 108 to 74 computations (31.5% saved)

regimes8.0ms (0.3%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 38 to 26 computations (31.6% saved)

regimes5.0ms (0.2%)

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 -2 x) (/.f64 4 (*.f64 x x)))

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

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
55.4%	1	`x`

Compiler

Compiled 28 to 21 computations (25% saved)

regimes7.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
56.4%	2	`x`

Compiler

Compiled 12 to 9 computations (25% saved)

regimes10.0ms (0.3%)

Counts

2 → 2

Calls

Call 1

Inputs
1
(/.f64 -2 x)

Outputs
(/.f64 -2 x)
1

Calls

1 calls:

9.0ms

Results

Accuracy	Segments	Branch
55.6%	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
52.2%	1	`x`

Compiler

Compiled 4 to 3 computations (25% saved)

bsearch29.0ms (1%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
29.0ms	-13.214177764223917	-0.0005644971645650441

Results

28.0ms

128×

body

256

valid

Compiler

Compiled 107 to 88 computations (17.8% saved)

bsearch13.0ms (0.4%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	-13.214177764223917	-0.0005644971645650441

Results

11.0ms

128×

body

256

valid

Compiler

Compiled 75 to 64 computations (14.7% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	94
1	32	94

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Outputs
(/.f64 1 (/.f64 x (expm1.f64 x)))
(/.f64 (expm1.f64 x) x)
(/.f64 1 (+.f64 (*.f64 -1/2 x) 1))
(/.f64 1 (+.f64 1 (*.f64 x -1/2)))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 (*.f64 1/2 x) 1))
(if (<=.f64 x -6980579422424269/4503599627370496) (/.f64 -2 x) (+.f64 1 (*.f64 x 1/2)))
(if (<=.f64 x -2) (/.f64 -2 x) 1)
1

Compiler

Compiled 44 to 34 computations (22.7% saved)

soundness194.0ms (6.5%)

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	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	15	59
1	310	59
2	2879	59

Stop Event

1×	node limit
1×	node limit
1×	saturated

Compiler

Compiled 41 to 24 computations (41.5% saved)

end0.0ms (0%)

preprocess93.0ms (3.1%)

Compiler: Compiled 138 to 96 computations (30.4% 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 (37.1%)

preprocess60.0ms (2%)

simplify17.0ms (0.6%)

eval0.0ms (0%)

prune1.0ms (0%)

localize20.0ms (0.7%)

series1.0ms (0%)

rewrite53.0ms (1.8%)

simplify51.0ms (1.7%)

eval8.0ms (0.3%)

prune10.0ms (0.3%)

localize80.0ms (2.7%)

series7.0ms (0.2%)

rewrite94.0ms (3.1%)

simplify112.0ms (3.7%)

eval71.0ms (2.4%)

prune60.0ms (2%)

localize48.0ms (1.6%)

series0.0ms (0%)

rewrite112.0ms (3.7%)

simplify54.0ms (1.8%)

eval81.0ms (2.7%)

prune20.0ms (0.7%)

localize158.0ms (5.3%)

series7.0ms (0.2%)

rewrite106.0ms (3.5%)

simplify107.0ms (3.6%)

eval121.0ms (4%)

prune38.0ms (1.3%)

regimes15.0ms (0.5%)

regimes8.0ms (0.3%)

regimes5.0ms (0.2%)

regimes7.0ms (0.2%)

regimes10.0ms (0.3%)

regimes3.0ms (0.1%)

bsearch29.0ms (1%)

bsearch13.0ms (0.4%)

simplify6.0ms (0.2%)

soundness194.0ms (6.5%)

end0.0ms (0%)

preprocess93.0ms (3.1%)

Profiling

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