Metrics for sqrtexp (problem 3.4.4)

analyze177.0ms (2.6%)

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
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
50%	50%	50%	0%	0%	0%	0%	5
53.1%	53.1%	46.9%	0%	0%	0%	0%	6
54.7%	54.7%	45.3%	0%	0%	0%	0%	7
55.5%	55.4%	44.5%	0%	0%	0%	0%	8
55.9%	55.8%	44.1%	0%	0%	0%	0%	9
56.1%	56%	43.9%	0%	0%	0%	0%	10
56.2%	56.1%	43.8%	0%	0%	0%	0%	11
56.2%	56.2%	43.8%	0%	0%	0%	0%	12

Compiler

Compiled 14 to 12 computations (14.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 107.0ms

Operation ival-div, time spent: 24.0ms, 22.0% of total-time

Operation ival-exp, time spent: 24.0ms, 22.0% of total-time

Operation ival-sub, time spent: 22.0ms, 21.0% of total-time

Operation ival-sqrt, time spent: 20.0ms, 19.0% of total-time

Operation ival-mult, time spent: 14.0ms, 13.0% of total-time

Operation const, time spent: 4.0ms, 4.0% of total-time

sample4.1s (61.3%)

Results

953.0ms	3853×	0	valid
2.1s	3458×	2	valid
454.0ms	2641×	0	unsamplable
263.0ms	891×	1	valid
8.0ms	53×	0	infinite
0.0ms	1×	0	valid

Precisions

Click to see histograms. Total time spent on operations: 2.5s

Operation ival-exp, time spent: 986.0ms, 40.0% of total-time

Operation ival-sub, time spent: 736.0ms, 30.0% of total-time

Operation ival-sqrt, time spent: 383.0ms, 16.0% of total-time

Operation ival-mult, time spent: 154.0ms, 6.0% of total-time

Operation ival-div, time spent: 140.0ms, 6.0% of total-time

Operation const, time spent: 70.0ms, 3.0% of total-time

Bogosity

preprocess600.0ms (9%)

Algorithm

1×	egg-herbie

Rules

1352×	`associate-/l*`
1118×	`associate-r`
1072×	`associate-/r*`
894×	`associate-l`
684×	`fma-def`

FPErrors

Click to see full error table

Ground Truth	Overpredictions	Example	Example	Subexpression
164	0	-	-	`(-.f64 (exp.f64 (*.f64 2 x)) 1)`
164	0	-	-	`(-.f64 (exp.f64 x) 1)`
2	0	-	-	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`
0	0	-	-	`x`
0	0	-	-	`(exp.f64 x)`
0	0	-	-	`(*.f64 2 x)`
0	1	(52.90291443362578)	-	`(exp.f64 (*.f64 2 x))`
0	0	-	-	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
0	0	-	-	`2`
0	0	-	-	`1`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	56	136
2	88	136
3	168	136
4	390	108
5	1517	84

Stop Event

1×	node limit

Calls

Call 1

Inputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))

Outputs
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 x)) 1))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x))))
(sqrt.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 1))
(sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x))))
(neg.f64 (sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 (neg.f64 x))) 1) (-.f64 (exp.f64 (neg.f64 x)) 1))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 (neg.f64 x))) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (/.f64 (expm1.f64 (*.f64 x -2)) (expm1.f64 (neg.f64 x)))))
(neg.f64 (sqrt.f64 (/.f64 (+.f64 1 (exp.f64 (neg.f64 x))) 1)))
(neg.f64 (sqrt.f64 (+.f64 1 (exp.f64 (neg.f64 x)))))

Compiler

Compiled 107 to 79 computations (26.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 405.0ms

Operation ival-exp, time spent: 132.0ms, 33.0% of total-time

Operation ival-div, time spent: 107.0ms, 26.0% of total-time

Operation ival-sub, time spent: 101.0ms, 25.0% of total-time

Operation ival-mult, time spent: 43.0ms, 11.0% of total-time

Operation ival-sqrt, time spent: 12.0ms, 3.0% of total-time

Operation const, time spent: 10.0ms, 2.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 21 to 16 computations (23.8% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.2%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 15 to 12 computations (20% saved)

localize80.0ms (1.2%)

Localize:

Found 5 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
✓	100.0%	(expm1.f64 x)
✓	99.3%	(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	100.0%	(+.f64 1 (exp.f64 x))

Compiler

Compiled 41 to 25 computations (39% saved)

Precisions

Click to see histograms. Total time spent on operations: 45.0ms

Operation ival-add, time spent: 12.0ms, 26.0% of total-time

Operation ival-mult, time spent: 9.0ms, 20.0% of total-time

Operation ival-expm1, time spent: 9.0ms, 20.0% of total-time

Operation ival-sqrt, time spent: 7.0ms, 15.0% of total-time

Operation ival-div, time spent: 4.0ms, 9.0% of total-time

Operation const, time spent: 2.0ms, 4.0% of total-time

Operation ival-exp, time spent: 2.0ms, 4.0% of total-time

series5.0ms (0.1%)

Counts

5 → 44

Calls

15 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1.0ms	x	@	-inf	(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
1.0ms	x	@	0	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(sqrt.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	inf	(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))

rewrite230.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

758×	`log-prod`
732×	`log1p-expm1-u`
730×	`expm1-log1p-u`
516×	`pow-prod-down`
426×	`fma-def`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	72
1	200	72
2	2468	72

Stop Event

1×	node limit

Counts

5 → 275

Calls

Call 1

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

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

simplify409.0ms (6.1%)

Algorithm

1×	egg-herbie

Rules

1118×	`fma-neg`
732×	`associate-*r/`
500×	`associate-*l/`
418×	`div-sub`
392×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	397	8153
1	857	7775
2	2831	7531
3	7849	7531

Stop Event

1×	node limit

Counts

319 → 234

Calls

Call 1

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

Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 2 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 x 1/6))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 x 1/2) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (pow.f64 x 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (pow.f64 x 2))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
2
(+.f64 2 x)
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2)))))
(+.f64 (+.f64 2 x) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 2 (+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 (+.f64 2 x) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 x 1/6))))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
x
(+.f64 x (*.f64 1/2 (pow.f64 x 2)))
(fma.f64 1/2 (pow.f64 x 2) x)
(+.f64 x (+.f64 (.f64 1/6 (pow.f64 x 3)) (.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 x (fma.f64 1/2 (pow.f64 x 2) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 x (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 x 1/6))))
(+.f64 x (+.f64 (.f64 1/24 (pow.f64 x 4)) (+.f64 (.f64 1/6 (pow.f64 x 3)) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 3))) (fma.f64 1/2 (pow.f64 x 2) x))
(+.f64 x (fma.f64 1/24 (pow.f64 x 4) (.f64 (pow.f64 x 2) (+.f64 1/2 (.f64 x 1/6)))))
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(-.f64 (exp.f64 x) 1)
(expm1.f64 x)
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (/.f64 (*.f64 x 1/2) (sqrt.f64 2)))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (.f64 1/2 (/.f64 (*.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (*.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))))))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (sqrt.f64 2))
(fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (*.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (pow.f64 x 2))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 1/2 (/.f64 x (sqrt.f64 2))) (+.f64 (.f64 1/2 (/.f64 (.f64 (pow.f64 x 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2))) (sqrt.f64 2))) (.f64 1/2 (/.f64 (.f64 (pow.f64 x 3) (-.f64 1/6 (.f64 1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))) (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (.f64 1/2 (+.f64 (/.f64 (pow.f64 x 2) (/.f64 (sqrt.f64 2) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (pow.f64 x 3) (/.f64 (sqrt.f64 2) (+.f64 1/6 (.f64 -1/2 (/.f64 (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)) (pow.f64 (sqrt.f64 2) 2))))))))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (-.f64 1/2 (pow.f64 (/.f64 1/2 (sqrt.f64 2)) 2)))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 1/2 (+.f64 (/.f64 x (sqrt.f64 2)) (.f64 (-.f64 (/.f64 1/2 (sqrt.f64 2)) (/.f64 (/.f64 1/4 (sqrt.f64 2)) 2)) (pow.f64 x 2))) (/.f64 (.f64 7/192 (pow.f64 x 3)) (sqrt.f64 2))))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
(sqrt.f64 (/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 1 (exp.f64 x)))) 1)
(+.f64 1 (exp.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (exp.f64 (*.f64 x 2)) (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(-.f64 (/.f64 (exp.f64 (*.f64 x 2)) (expm1.f64 x)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 1 (exp.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (exp.f64 1)))
(+.f64 1 (exp.f64 x))
(.f64 (expm1.f64 (.f64 x 2)) (/.f64 1 (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(+.f64 1 (exp.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 1 (exp.f64 x))
(.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (.f64 (sqrt.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(.f64 (neg.f64 (expm1.f64 (.f64 x 2))) (/.f64 1 (neg.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (/.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(.f64 (/.f64 1 (expm1.f64 x)) (expm1.f64 (.f64 x 2)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(.f64 (-.f64 1 (exp.f64 (.f64 x 2))) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 3/4))
(.f64 (/.f64 1 (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (/.f64 (expm1.f64 (.f64 x 2)) (cbrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(.f64 (/.f64 1 (sqrt.f64 (expm1.f64 x))) (/.f64 (expm1.f64 (.f64 x 2)) (sqrt.f64 (expm1.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) 1) (/.f64 (cbrt.f64 (expm1.f64 (*.f64 x 2))) (expm1.f64 x)))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(.f64 (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 x 2))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (cbrt.f64 (expm1.f64 (.f64 2 x))) 2) (pow.f64 (cbrt.f64 (expm1.f64 x)) 2)))
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(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) 3)
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/6)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) 2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(pow.f64 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))) -1)
(/.f64 1 (sqrt.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(pow.f64 (/.f64 (sqrt.f64 (expm1.f64 x)) (sqrt.f64 (expm1.f64 (*.f64 x 2)))) -1)
(.f64 (sqrt.f64 (expm1.f64 (.f64 2 x))) (/.f64 1 (sqrt.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (expm1.f64 (*.f64 2 x))) (sqrt.f64 (expm1.f64 x)))
(fabs.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) 1/2) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 3/2 (log1p.f64 (exp.f64 x))) 1/3))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (exp.f64 1/2) (log1p.f64 (exp.f64 x)))
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

eval62.0ms (0.9%)

Compiler: Compiled 2912 to 2090 computations (28.2% saved)

prune28.0ms (0.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	231	3	234
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	232	4	236

Accuracy

100.0%

Counts

236 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
▶	63.9%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	70.7%	(sqrt.f64 2)

Compiler

Compiled 23 to 20 computations (13% saved)

localize94.0ms (1.4%)

Localize:

Found 4 expressions with local error:

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

Compiler

Compiled 37 to 26 computations (29.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 55.0ms

Operation ival-add, time spent: 29.0ms, 52.0% of total-time

Operation ival-pow, time spent: 9.0ms, 16.0% of total-time

Operation ival-sqrt, time spent: 8.0ms, 14.0% of total-time

Operation ival-div, time spent: 4.0ms, 7.0% of total-time

Operation const, time spent: 3.0ms, 5.0% of total-time

Operation ival-exp, time spent: 2.0ms, 4.0% of total-time

series58.0ms (0.9%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
31.0ms	x	@	inf	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
23.0ms	x	@	-inf	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
1.0ms	x	@	-inf	(sqrt.f64 (+.f64 2 x))
1.0ms	x	@	inf	(sqrt.f64 (+.f64 2 x))
1.0ms	x	@	inf	(/.f64 1 (+.f64 1 (exp.f64 x)))

rewrite94.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log1p-expm1-u`
774×	`expm1-log1p-u`
720×	`log-prod`
482×	`pow-prod-down`
446×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	60
1	185	52
2	2250	52

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 2 x))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)

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

simplify108.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1046×	`associate-l`
982×	`exp-prod`
776×	`fma-def`
770×	`sqr-pow`
406×	`distribute-lft-neg-out`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	309	3194
1	673	3031
2	1620	2880
3	4984	2838

Stop Event

1×	node limit

Counts

125 → 163

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (+.f64 (.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 7/384 (.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (exp.f64 1)))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 2 x)) 1) 1/2))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) 1))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -3) 1/3)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (neg.f64 (.f64 1/3 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (log.f64 (exp.f64 1)))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) -1/2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) -1/2))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (.f64 (.f64 3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 x))) -1/4))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1/4) 2))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))
(fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (*.f64 1/2 (/.f64 x (sqrt.f64 2)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (*.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3))) (+.f64 (.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5))) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/8 (/.f64 (pow.f64 x 2) (pow.f64 (sqrt.f64 2) 3)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (*.f64 1/2 (/.f64 x (sqrt.f64 2))))))
(+.f64 (+.f64 (sqrt.f64 2) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (.f64 1/2 (/.f64 x (sqrt.f64 2))))) (.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (fma.f64 -1/16 (/.f64 (pow.f64 x 2) (sqrt.f64 2)) (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (*.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 2) 5)) (pow.f64 x 3)))))
(+.f64 (fma.f64 1/2 (/.f64 x (sqrt.f64 2)) (sqrt.f64 2)) (fma.f64 1/16 (/.f64 (pow.f64 x 3) (pow.f64 (sqrt.f64 2) 5)) (/.f64 (/.f64 (pow.f64 x 2) -16) (sqrt.f64 2))))
1/2
(+.f64 1/2 (*.f64 -1/4 x))
(+.f64 1/2 (*.f64 x -1/4))
(fma.f64 x -1/4 1/2)
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (.f64 1/48 (pow.f64 x 3))))
(+.f64 1/2 (fma.f64 -1/4 x (*.f64 (pow.f64 x 3) 1/48)))
(+.f64 1/2 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 x -1/4)))
(fma.f64 (pow.f64 x 3) 1/48 (fma.f64 x -1/4 1/2))
(+.f64 1/2 (+.f64 (.f64 -1/4 x) (+.f64 (.f64 -1/480 (pow.f64 x 5)) (*.f64 1/48 (pow.f64 x 3)))))
(+.f64 1/2 (fma.f64 -1/4 x (fma.f64 -1/480 (pow.f64 x 5) (*.f64 (pow.f64 x 3) 1/48))))
(+.f64 (fma.f64 x -1/4 1/2) (fma.f64 (pow.f64 x 3) 1/48 (*.f64 -1/480 (pow.f64 x 5))))
(+.f64 1/2 (fma.f64 x -1/4 (fma.f64 (pow.f64 x 3) 1/48 (*.f64 -1/480 (pow.f64 x 5)))))
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 (sqrt.f64 2) x)))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2)) (.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 x 1/4) (*.f64 (pow.f64 x 2) 3/32))))
(fma.f64 (sqrt.f64 2) (.f64 x (+.f64 (.f64 x 3/32) 1/4)) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 7/384 (.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2)) (.f64 1/4 (.f64 (sqrt.f64 2) x)))))
(+.f64 (sqrt.f64 2) (fma.f64 7/384 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (.f64 (sqrt.f64 2) (+.f64 (.f64 x 1/4) (.f64 (pow.f64 x 2) 3/32)))))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 x 2) (+.f64 (.f64 x 7/384) 3/32)) (*.f64 (sqrt.f64 2) (fma.f64 x 1/4 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))))) (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))) (log.f64 (sqrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))))
(sqrt.f64 (+.f64 2 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x)))) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(*.f64 (sqrt.f64 (+.f64 2 x)) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 2 x))
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (cbrt.f64 (sqrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) (cbrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(sqrt.f64 (+.f64 2 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 2)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 2 x))) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(*.f64 (cbrt.f64 (+.f64 2 x)) (sqrt.f64 (cbrt.f64 (+.f64 2 x))))
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(/.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (fma.f64 x (+.f64 x -2) 4)))
(pow.f64 (+.f64 2 x) 1/2)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x))) 3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(sqrt.f64 (+.f64 2 x))
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(sqrt.f64 (+.f64 2 x))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(sqrt.f64 (+.f64 2 x))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 2 x)))))
(sqrt.f64 (+.f64 2 x))
(cbrt.f64 (pow.f64 (+.f64 2 x) 3/2))
(sqrt.f64 (+.f64 2 x))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 2 x)) 1) 1/2))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) 1))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 2 x))) 1) 1))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 2 x)))) 3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 3/2 (log.f64 (+.f64 2 x))) 1/3))
(sqrt.f64 (+.f64 2 x))
(exp.f64 (.f64 (.f64 1/4 (log.f64 (+.f64 2 x))) 2))
(sqrt.f64 (+.f64 2 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 2 x))))
(sqrt.f64 (+.f64 2 x))
(+.f64 0 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 1 (/.f64 1 (+.f64 1 (exp.f64 x))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) (log.f64 (exp.f64 1)))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 -1 (/.f64 1 (+.f64 -1 (neg.f64 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)))
(/.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) (pow.f64 (+.f64 1 (exp.f64 x)) -1/2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 1 (+.f64 1 (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (*.f64 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3)))
(*.f64 (/.f64 1 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x)))
(/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))
(/.f64 (neg.f64 (expm1.f64 x)) (neg.f64 (expm1.f64 (*.f64 2 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) 1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) -2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) 3)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2) 1/2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -3) 1/3)
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -3))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) -1/2)
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -1/2) 2)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(pow.f64 (neg.f64 (+.f64 -1 (neg.f64 (exp.f64 x)))) -1)
(/.f64 1 (+.f64 1 (exp.f64 x)))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x))))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) -1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) 1))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (neg.f64 (.f64 1/3 (log1p.f64 (exp.f64 x)))) 3))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 3 (neg.f64 (log1p.f64 (exp.f64 x)))) 1/3))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 -1/2 (log1p.f64 (exp.f64 x))) 2))
(exp.f64 (neg.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 1 (exp.f64 x)))))
(/.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 0 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))) (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 1 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) 1)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))) (log.f64 (exp.f64 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) -2)) -1/2) (pow.f64 (/.f64 1 (cbrt.f64 (+.f64 1 (exp.f64 x)))) -1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (neg.f64 (expm1.f64 (*.f64 2 x)))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(fabs.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x))))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(exp.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (*.f64 (log1p.f64 (exp.f64 x)) 1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (log1p.f64 (exp.f64 x)) -1) -1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) 1) -1/2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (*.f64 1/2 (log1p.f64 (exp.f64 x))) 1) 1))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 3))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 3 (*.f64 1/2 (log1p.f64 (exp.f64 x)))) 1/3))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 -2 (log1p.f64 (exp.f64 x))) -1/4))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 1/4 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(exp.f64 (.f64 (.f64 (neg.f64 (log1p.f64 (exp.f64 x))) -1/4) 2))
(pow.f64 (exp.f64 (log1p.f64 (exp.f64 x))) 1/2)
(sqrt.f64 (exp.f64 (log1p.f64 (exp.f64 x))))
(log1p.f64 (expm1.f64 (hypot.f64 1 (sqrt.f64 (exp.f64 x)))))
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(hypot.f64 1 (sqrt.f64 (exp.f64 x)))

eval78.0ms (1.2%)

Compiler: Compiled 3276 to 2535 computations (22.6% saved)

prune32.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	255	1	256
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	255	5	260

Accuracy

100.0%

Counts

260 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
▶	66.2%	(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
✓	63.9%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	70.7%	(sqrt.f64 2)

Compiler

Compiled 31 to 27 computations (12.9% saved)

localize54.0ms (0.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)

Compiler

Compiled 21 to 17 computations (19% saved)

Precisions

Click to see histograms. Total time spent on operations: 29.0ms

Operation ival-mult, time spent: 11.0ms, 38.0% of total-time

Operation ival-add, time spent: 8.0ms, 28.0% of total-time

Operation ival-pow, time spent: 7.0ms, 24.0% of total-time

Operation const, time spent: 2.0ms, 7.0% of total-time

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

788×	`unpow-prod-down`
477×	`log1p-expm1-u`
477×	`expm1-log1p-u`
476×	`log-prod`
450×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	107	18
2	1312	18

Stop Event

1×	node limit

Counts

1 → 33

Calls

Call 1

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

Outputs
(+.f64 0 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(-.f64 (+.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 4) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/12) 2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/8) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/4))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) -1/2) (pow.f64 (/.f64 1 (fma.f64 (.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)) -1/2))
(.f64 (pow.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/16)) -1/2) (pow.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/4 x))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 2) 3) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -5/4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 4) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/8))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 5) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/12))
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x -1/4 1/2))) -1/4))
(exp.f64 (.f64 (.f64 -1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1288×	`times-frac`
998×	`associate-/l*`
684×	`associate-r`
658×	`fma-def`
622×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	178	2244
1	428	2063
2	1098	1753
3	3618	1609

Stop Event

1×	node limit

Counts

45 → 102

Calls

Call 1

Inputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 5/128 (.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (+.f64 (.f64 5/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) x))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (.f64 5/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))
(+.f64 0 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(-.f64 (+.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 4) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/12) 2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/8) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/4))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) -1/2) (pow.f64 (/.f64 1 (fma.f64 (.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)) -1/2))
(.f64 (pow.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/16)) -1/2) (pow.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/4 x))) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 2) 3) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(.f64 (pow.f64 (.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -5/4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 4) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/8))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 5) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/12))
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2))
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x -1/4 1/2))) -1/4))
(exp.f64 (.f64 (.f64 -1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))

Outputs
(sqrt.f64 2)
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 x (sqrt.f64 2))))
(+.f64 (sqrt.f64 2) (.f64 1/4 (.f64 (sqrt.f64 2) x)))
(fma.f64 1/4 (*.f64 (sqrt.f64 2) x) (sqrt.f64 2))
(*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2)))))
(+.f64 (sqrt.f64 2) (fma.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2)) (.f64 1/4 (*.f64 (sqrt.f64 2) x))))
(+.f64 (sqrt.f64 2) (.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 x) (*.f64 3/32 (pow.f64 x 2)))))
(fma.f64 (sqrt.f64 2) (.f64 x (+.f64 1/4 (.f64 x 3/32))) (sqrt.f64 2))
(+.f64 (sqrt.f64 2) (+.f64 (.f64 5/128 (.f64 (pow.f64 x 3) (sqrt.f64 2))) (+.f64 (.f64 3/32 (.f64 (pow.f64 x 2) (sqrt.f64 2))) (.f64 1/4 (.f64 x (sqrt.f64 2))))))
(+.f64 (sqrt.f64 2) (fma.f64 5/128 (.f64 (sqrt.f64 2) (pow.f64 x 3)) (fma.f64 3/32 (.f64 (sqrt.f64 2) (pow.f64 x 2)) (.f64 1/4 (.f64 (sqrt.f64 2) x)))))
(+.f64 (.f64 (sqrt.f64 2) (+.f64 (.f64 1/4 x) (.f64 3/32 (pow.f64 x 2)))) (.f64 (+.f64 (*.f64 5/128 (pow.f64 x 3)) 1) (sqrt.f64 2)))
(fma.f64 (sqrt.f64 2) (.f64 (pow.f64 x 2) (+.f64 (.f64 x 5/128) 3/32)) (*.f64 (sqrt.f64 2) (fma.f64 1/4 x 1)))
(.f64 (sqrt.f64 2) (+.f64 (fma.f64 1/4 x 1) (.f64 (pow.f64 x 2) (+.f64 (*.f64 x 5/128) 3/32))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x)))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x)))
(*.f64 (pow.f64 -1/4 -1/2) (pow.f64 x -1/2))
(pow.f64 (*.f64 x -1/4) -1/2)
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) x))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) x))
(fma.f64 (pow.f64 -1/4 -1/2) (pow.f64 x -1/2) (/.f64 (*.f64 (pow.f64 -1/4 -1/2) (pow.f64 x -1/2)) x))
(+.f64 (pow.f64 (.f64 x -1/4) -1/2) (/.f64 (pow.f64 (.f64 x -1/4) -1/2) x))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (*.f64 -1 (log.f64 (/.f64 1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) (pow.f64 x 2)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) (pow.f64 x 2)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) x)))
(fma.f64 (pow.f64 -1/4 -1/2) (pow.f64 x -1/2) (.f64 (+.f64 (/.f64 3/2 x) 1) (/.f64 (.f64 (pow.f64 -1/4 -1/2) (pow.f64 x -1/2)) x)))
(+.f64 (pow.f64 (.f64 x -1/4) -1/2) (.f64 (+.f64 (/.f64 3/2 x) 1) (/.f64 (pow.f64 (*.f64 x -1/4) -1/2) x)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 2))) (+.f64 (.f64 5/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 -1/4) (.f64 -1 (log.f64 (/.f64 1 x)))))) x))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) (pow.f64 x 2)) (fma.f64 5/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (neg.f64 (neg.f64 (log.f64 x))))) x))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) (pow.f64 x 2)) (fma.f64 5/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 -1/4) (log.f64 x))) x))))
(+.f64 (fma.f64 (pow.f64 -1/4 -1/2) (pow.f64 x -1/2) (/.f64 (.f64 (pow.f64 -1/4 -1/2) (pow.f64 x -1/2)) x)) (.f64 (/.f64 (*.f64 (pow.f64 -1/4 -1/2) (pow.f64 x -1/2)) (pow.f64 x 2)) (+.f64 (/.f64 5/2 x) 3/2)))
(+.f64 (pow.f64 (.f64 x -1/4) -1/2) (.f64 (/.f64 (pow.f64 (*.f64 x -1/4) -1/2) x) (+.f64 (/.f64 3/2 x) (+.f64 (/.f64 5/2 (pow.f64 x 2)) 1))))
(exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x))))))
(pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x)))))
(pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x))))
(*.f64 (pow.f64 1/4 -1/2) (pow.f64 (/.f64 -1 x) 1/2))
(pow.f64 (/.f64 1/4 (/.f64 -1 x)) -1/2)
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) x))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) x))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) x))
(fma.f64 (pow.f64 1/4 -1/2) (pow.f64 (/.f64 -1 x) 1/2) (/.f64 (*.f64 (pow.f64 1/4 -1/2) (pow.f64 (/.f64 -1 x) 1/2)) x))
(+.f64 (pow.f64 (/.f64 1/4 (/.f64 -1 x)) -1/2) (/.f64 (pow.f64 (/.f64 1/4 (/.f64 -1 x)) -1/2) x))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (*.f64 -1 (log.f64 (/.f64 -1 x)))))) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) x)))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) (pow.f64 x 2)) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) x)))
(fma.f64 (pow.f64 1/4 -1/2) (pow.f64 (/.f64 -1 x) 1/2) (.f64 (+.f64 (/.f64 3/2 x) 1) (/.f64 (.f64 (pow.f64 1/4 -1/2) (pow.f64 (/.f64 -1 x) 1/2)) x)))
(+.f64 (pow.f64 (/.f64 1/4 (/.f64 -1 x)) -1/2) (*.f64 (+.f64 (/.f64 3/2 x) 1) (/.f64 (pow.f64 (/.f64 1/4 (/.f64 -1 x)) -1/2) x)))
(+.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (+.f64 (.f64 3/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 2))) (+.f64 (.f64 5/2 (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) (pow.f64 x 3))) (/.f64 (exp.f64 (.f64 -1/2 (+.f64 (log.f64 1/4) (.f64 -1 (log.f64 (/.f64 -1 x)))))) x))))
(+.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 2)) (fma.f64 5/2 (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 -1/2) (+.f64 (log.f64 1/4) (neg.f64 (log.f64 (/.f64 -1 x))))) x))))
(+.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) (fma.f64 3/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) (pow.f64 x 2)) (fma.f64 5/2 (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) (pow.f64 x 3)) (/.f64 (pow.f64 (exp.f64 -1/2) (-.f64 (log.f64 1/4) (log.f64 (/.f64 -1 x)))) x))))
(+.f64 (fma.f64 (pow.f64 1/4 -1/2) (pow.f64 (/.f64 -1 x) 1/2) (/.f64 (.f64 (pow.f64 1/4 -1/2) (pow.f64 (/.f64 -1 x) 1/2)) x)) (.f64 (/.f64 (pow.f64 1/4 -1/2) (/.f64 (pow.f64 x 2) (pow.f64 (/.f64 -1 x) 1/2))) (+.f64 3/2 (/.f64 5/2 x))))
(+.f64 (pow.f64 (/.f64 1/4 (/.f64 -1 x)) -1/2) (*.f64 (/.f64 (pow.f64 (/.f64 1/4 (/.f64 -1 x)) -1/2) x) (+.f64 (/.f64 3/2 x) (+.f64 (/.f64 5/2 (pow.f64 x 2)) 1))))
(+.f64 0 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(-.f64 (+.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2) 1)
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 1 (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 4) -1/4))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/12) 2))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))))
(/.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (cbrt.f64 (fma.f64 x -1/4 1/2)))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/4))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/8) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/4))
(*.f64 (pow.f64 1 1/3) (pow.f64 (fma.f64 x -1/4 1/2) -1/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) -1/2) (pow.f64 (/.f64 1 (fma.f64 (.f64 x -1/4) (fma.f64 x -1/4 -1/2) 1/4)) -1/2))
(.f64 (pow.f64 (fma.f64 (pow.f64 x 3) -1/64 1/8) -1/2) (pow.f64 (/.f64 1 (fma.f64 x (.f64 -1/4 (fma.f64 x -1/4 -1/2)) 1/4)) -1/2))
(.f64 (pow.f64 (-.f64 1/4 (.f64 (pow.f64 x 2) 1/16)) -1/2) (pow.f64 (/.f64 1 (+.f64 1/2 (*.f64 1/4 x))) -1/2))
(.f64 (pow.f64 (+.f64 1/4 (.f64 (pow.f64 x 2) -1/16)) -1/2) (pow.f64 (/.f64 1 (fma.f64 1/4 x 1/2)) -1/2))
(*.f64 (pow.f64 (fma.f64 (pow.f64 x 2) -1/16 1/4) -1/2) (pow.f64 (/.f64 1 (fma.f64 1/4 x 1/2)) -1/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 2) 3) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2))) (cbrt.f64 (sqrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/4)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/4)))
(pow.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/4) 1/6) 4)
(.f64 (pow.f64 (.f64 (/.f64 1 (fma.f64 x -1/4 1/2)) (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) -1)) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)))
(.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) (cbrt.f64 (.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (/.f64 1 (fma.f64 x -1/4 1/2)))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) (cbrt.f64 (/.f64 (/.f64 1 (cbrt.f64 (fma.f64 x -1/4 1/2))) (fma.f64 x -1/4 1/2))))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) (cbrt.f64 (/.f64 1 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 4))))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) -5/4) 1/3) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -5/4)) (cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/4)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 4) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/6))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 4) -1/4))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/8))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/8) (pow.f64 (pow.f64 (fma.f64 x -1/4 1/2) 3/2) -1/4))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 5) -1/4) (pow.f64 (fma.f64 x -1/4 1/2) -1/12))
(*.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/12) (pow.f64 (pow.f64 (cbrt.f64 (fma.f64 x -1/4 1/2)) 5) -1/4))
(sqrt.f64 (/.f64 1 (fma.f64 x -1/4 1/2)))
(log.f64 (exp.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(cbrt.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(expm1.f64 (log1p.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 -1/2 (log.f64 (fma.f64 x -1/4 1/2))))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/6)) 3))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 x -1/4 1/2) -3/2)) 1/3))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (.f64 (.f64 2 (log.f64 (fma.f64 x -1/4 1/2))) -1/4))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(exp.f64 (.f64 (.f64 -1/4 (log.f64 (fma.f64 x -1/4 1/2))) 2))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)
(log1p.f64 (expm1.f64 (pow.f64 (fma.f64 x -1/4 1/2) -1/2)))
(pow.f64 (fma.f64 x -1/4 1/2) -1/2)

eval51.0ms (0.8%)

Compiler: Compiled 1996 to 1699 computations (14.9% saved)

prune15.0ms (0.2%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	102	5	107

Accuracy

100.0%

Counts

107 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
✓	66.2%	(pow.f64 (+.f64 1/2 (*.f64 x -1/4)) -1/2)
✓	63.9%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	70.7%	(sqrt.f64 2)

Compiler

Compiled 78 to 64 computations (17.9% saved)

regimes9.0ms (0.1%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)

Calls

3 calls:

5.0ms	x
2.0ms	(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))
2.0ms	(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(sqrt.f64 (/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1)))`
100.0%	1	`(/.f64 (-.f64 (exp.f64 (*.f64 2 x)) 1) (-.f64 (exp.f64 x) 1))`

Compiler

Compiled 27 to 22 computations (18.5% saved)

regimes4.0ms (0.1%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
100.0%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes4.0ms (0.1%)

Accuracy

Total -4.7b remaining (-24.9%)

Threshold costs -4.7b (-24.9%)

Counts

3 → 1

Calls

Call 1

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

Outputs
(sqrt.f64 2)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
70.7%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	49
1	21	49

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Outputs
(pow.f64 (/.f64 1 (+.f64 1 (exp.f64 x))) -1/2)
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Compiler

Compiled 18 to 16 computations (11.1% saved)

soundness223.0ms (3.3%)

Rules

1352×	`associate-/l*`
1118×	`associate-r`
1072×	`associate-/r*`
894×	`associate-l`
758×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	56	136
2	88	136
3	168	136
4	390	108
5	1517	84
0	16	72
1	200	72
2	2468	72

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 245 to 169 computations (31% saved)

end0.0ms (0%)

preprocess32.0ms (0.5%)

Compiler: Compiled 58 to 48 computations (17.2% saved)

analyze177.0ms (2.6%)

sample4.1s (61.3%)

preprocess600.0ms (9%)

eval1.0ms (0%)

prune1.0ms (0%)

localize80.0ms (1.2%)

series5.0ms (0.1%)

rewrite230.0ms (3.4%)

simplify409.0ms (6.1%)

eval62.0ms (0.9%)

prune28.0ms (0.4%)

localize94.0ms (1.4%)

series58.0ms (0.9%)

rewrite94.0ms (1.4%)

simplify108.0ms (1.6%)

eval78.0ms (1.2%)

prune32.0ms (0.5%)

localize54.0ms (0.8%)

series2.0ms (0%)

rewrite70.0ms (1%)

simplify69.0ms (1%)

eval51.0ms (0.8%)

prune15.0ms (0.2%)

regimes9.0ms (0.1%)

regimes4.0ms (0.1%)

regimes4.0ms (0.1%)

simplify3.0ms (0%)

soundness223.0ms (3.3%)

end0.0ms (0%)

preprocess32.0ms (0.5%)

Profiling