Metrics for sqrtexp (problem 3.4.4)

analyze132.0ms (4.6%)

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)

sample1.9s (66.9%)

Results

893.0ms	2699×	body	1024	valid
418.0ms	3829×	body	256	valid
270.0ms	1372×	body	512	valid
202.0ms	2708×	body	256	unsamplable
119.0ms	316×	body	2048	valid
4.0ms	40×	body	256	infinite

Bogosity

preprocess254.0ms (8.8%)

Algorithm

1×	egg-herbie

Rules

1354×	`associate-/l*`
1124×	`associate-r`
1042×	`associate-/r*`
892×	`associate-l`
684×	`fma-def`

Problems

162×	`(-.f64 (exp.f64 (*.f64 2 x)) 1)`
89×	No Errors
5×	`(-.f64 (exp.f64 x) 1)`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	53	136
2	85	136
3	165	136
4	387	108
5	1518	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 60 to 45 computations (25% saved)

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
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 12 to 10 computations (16.7% saved)

localize24.0ms (0.8%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(+.f64 1 (exp.f64 x))

Compiler

Compiled 15 to 9 computations (40% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite99.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

928×	`frac-times`
406×	`unpow-prod-down`
324×	`log1p-expm1-u`
324×	`expm1-log1p-u`
305×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	76	14
2	890	14

Stop Event

1×	node limit

Counts

1 → 66

Calls

Call 1

Inputs
(+.f64 1 (exp.f64 x))

Outputs
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (E.f64)))
(*.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 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.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) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2) 1/3) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(/.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 (pow.f64 (exp.f64 x) 2))))
(/.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 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.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 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (-.f64 1 (exp.f64 x)) (*.f64 (-.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2))) (.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) 1) (.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) 1) (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (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 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(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 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (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 (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)

simplify75.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1208×	`fma-def`
898×	`div-sub`
672×	`fma-neg`
672×	`unswap-sqr`
596×	`hypot-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2946
1	505	2880
2	1577	2640
3	5673	2560

Stop Event

1×	node limit

Counts

70 → 108

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)))))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (E.f64)))
(*.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 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.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) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2) 1/3) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(/.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 (pow.f64 (exp.f64 x) 2))))
(/.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 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.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 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 (-.f64 1 (exp.f64 x)) (*.f64 (-.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2))) (.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) 1) (.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 3)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) 1) (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(pow.f64 (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 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(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 (pow.f64 (exp.f64 x) 2))) -1)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(exp.f64 (.f64 (.f64 3 (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 (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)

Outputs
2
(+.f64 2 x)
(+.f64 2 (+.f64 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 2 (+.f64 x (fma.f64 1/6 (pow.f64 x 3) (*.f64 1/2 (pow.f64 x 2)))))
(+.f64 2 (+.f64 (fma.f64 1/2 (pow.f64 x 2) x) (*.f64 1/6 (pow.f64 x 3))))
(+.f64 2 (fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/2 (pow.f64 x 2) x)))
(+.f64 2 (fma.f64 1/2 (pow.f64 x 2) (fma.f64 1/6 (pow.f64 x 3) x)))
(-.f64 (+.f64 1 (+.f64 1 (exp.f64 x))) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(-.f64 (/.f64 1 (-.f64 1 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 1 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (+.f64 1 (exp.f64 x)) (log.f64 (E.f64)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 2) (cbrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(*.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) (sqrt.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (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 (pow.f64 (exp.f64 x) 2)) (/.f64 1 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(*.f64 (pow.f64 1 1/3) (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(.f64 (pow.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2) 1/3) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 5/2)) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6))
(.f64 (cbrt.f64 (pow.f64 (.f64 (+.f64 1 (exp.f64 x)) (cbrt.f64 (+.f64 1 (exp.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 4) 2)) (cbrt.f64 (cbrt.f64 (+.f64 1 (exp.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 8)) (cbrt.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x)))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 5/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 5/2)) (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/4))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/4) (sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3/2)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/4) (pow.f64 (+.f64 2 (expm1.f64 x)) 3/4))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5)) (pow.f64 (+.f64 1 (exp.f64 x)) 1/6))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5)))
(*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 1/6) (fabs.f64 (pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 5/2)))
(*.f64 (pow.f64 (+.f64 2 (expm1.f64 x)) 1/6) (pow.f64 (cbrt.f64 (+.f64 2 (expm1.f64 x))) 5/2))
(/.f64 1 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))))
(*.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 1 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (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 1 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 (pow.f64 (exp.f64 x) 2) (-.f64 1 (exp.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 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.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 (+.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 (neg.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (neg.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (pow.f64 (+.f64 2 (expm1.f64 x)) 2))) (cbrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (+.f64 1 (exp.f64 x)) 2))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (pow.f64 (+.f64 2 (expm1.f64 x)) 2))) (cbrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (cbrt.f64 (.f64 (neg.f64 (expm1.f64 (.f64 2 x))) (pow.f64 (+.f64 2 (expm1.f64 x)) 2))) (cbrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (neg.f64 (expm1.f64 (.f64 2 x))))) (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (.f64 (-.f64 1 (exp.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (neg.f64 (expm1.f64 (.f64 2 x))))) (sqrt.f64 (*.f64 (neg.f64 (expm1.f64 x)) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 2 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 2 x))))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (pow.f64 (exp.f64 x) 3)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 3)))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (sqrt.f64 (*.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (+.f64 1 (exp.f64 x)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (*.f64 (+.f64 2 (expm1.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (sqrt.f64 (-.f64 1 (exp.f64 x))))
(/.f64 (sqrt.f64 (.f64 (+.f64 2 (expm1.f64 x)) (neg.f64 (expm1.f64 (.f64 2 x))))) (sqrt.f64 (neg.f64 (expm1.f64 x))))
(/.f64 (-.f64 (-.f64 1 (exp.f64 x)) (*.f64 (-.f64 1 (exp.f64 x)) (pow.f64 (exp.f64 x) 2))) (pow.f64 (-.f64 1 (exp.f64 x)) 2))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2))) (.f64 (sqrt.f64 (-.f64 1 (exp.f64 x))) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (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 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (/.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)))))
(.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 2 x)))) (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (*.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (neg.f64 (expm1.f64 x))))))
(/.f64 (.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)))) (.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(*.f64 (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1))) (/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (sqrt.f64 (-.f64 1 (exp.f64 x)))))
(/.f64 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (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 (sqrt.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2))) (/.f64 (/.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)))))
(.f64 (sqrt.f64 (neg.f64 (expm1.f64 (.f64 2 x)))) (/.f64 (hypot.f64 1 (pow.f64 (exp.f64 x) 3/2)) (*.f64 (sqrt.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1)) (sqrt.f64 (neg.f64 (expm1.f64 x))))))
(/.f64 (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) 1) (.f64 (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1)))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 (+.f64 1 (pow.f64 (exp.f64 x) 6)) (pow.f64 (exp.f64 x) 3))))
(/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (-.f64 (pow.f64 (exp.f64 x) 6) (pow.f64 (exp.f64 x) 3)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (exp.f64 x) 9)) (+.f64 (pow.f64 (exp.f64 x) 6) (-.f64 1 (pow.f64 (exp.f64 x) 3)))) (fma.f64 (exp.f64 x) (expm1.f64 x) 1))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (.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) 6)) (*.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (-.f64 1 (pow.f64 (exp.f64 x) 3))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) 1) (.f64 (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 4) (pow.f64 (exp.f64 x) 2))) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (*.f64 (-.f64 1 (exp.f64 x)) (+.f64 1 (+.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (exp.f64 x) 4)))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 6)) (+.f64 (pow.f64 (exp.f64 x) 4) (+.f64 1 (pow.f64 (exp.f64 2) x)))) (neg.f64 (expm1.f64 x)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) 1) (.f64 (+.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (*.f64 (-.f64 1 (exp.f64 x)) (+.f64 1 (pow.f64 (exp.f64 x) 2))))
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 4)) (*.f64 (neg.f64 (expm1.f64 x)) (+.f64 1 (pow.f64 (exp.f64 2) x))))
(pow.f64 (+.f64 1 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (cbrt.f64 (+.f64 1 (exp.f64 x))) 3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2) 1/2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3) 1/3)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (sqrt.f64 (+.f64 1 (exp.f64 x))) 2)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (/.f64 (fma.f64 (exp.f64 x) (expm1.f64 x) 1) (+.f64 1 (pow.f64 (exp.f64 x) 3))) -1)
(*.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))
(pow.f64 (/.f64 (-.f64 1 (exp.f64 x)) (-.f64 1 (pow.f64 (exp.f64 x) 2))) -1)
(/.f64 (-.f64 1 (pow.f64 (exp.f64 x) 2)) (-.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (pow.f64 (exp.f64 x) 2) -1) (expm1.f64 x))
(/.f64 (expm1.f64 (*.f64 2 x)) (expm1.f64 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (exp.f64 x))) 2)) (cbrt.f64 (log1p.f64 (exp.f64 x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (exp.f64 x)))) (sqrt.f64 (log1p.f64 (exp.f64 x))))
(sqrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 2))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fabs.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(log.f64 (exp.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(cbrt.f64 (pow.f64 (+.f64 1 (exp.f64 x)) 3))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(expm1.f64 (log1p.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(exp.f64 (log1p.f64 (exp.f64 x)))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/3 (log1p.f64 (exp.f64 x))) 3))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 3 (log1p.f64 (exp.f64 x))) 1/3))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(exp.f64 (.f64 (.f64 1/2 (log1p.f64 (exp.f64 x))) 2))
(pow.f64 (E.f64) (log1p.f64 (exp.f64 x)))
(exp.f64 (log1p.f64 (exp.f64 x)))
(log1p.f64 (expm1.f64 (+.f64 1 (exp.f64 x))))
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 1 (exp.f64 x) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (exp.f64 x) 1 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (cbrt.f64 (exp.f64 x)) (pow.f64 (cbrt.f64 (exp.f64 x)) 2) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) (cbrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))
(fma.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 x)) 1)
(+.f64 (+.f64 2 (exp.f64 x)) -1)
(+.f64 2 (+.f64 (exp.f64 x) -1))
(+.f64 2 (expm1.f64 x))

eval33.0ms (1.1%)

Compiler: Compiled 1689 to 1141 computations (32.4% saved)

prune14.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	106	3	109

Accuracy

100.0%

Counts

109 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	65.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	71.8%	(sqrt.f64 2)
▶	65.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
▶	71.8%	(sqrt.f64 2)

Compiler

Compiled 28 to 24 computations (14.3% saved)

localize62.0ms (2.2%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (+.f64 2 x))

Compiler

Compiled 14 to 11 computations (21.4% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(sqrt.f64 (+.f64 2 x))
0.0ms	x	@	0	(sqrt.f64 (+.f64 2 x))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 2 x))

rewrite48.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

494×	`unpow-prod-down`
354×	`log1p-expm1-u`
354×	`expm1-log1p-u`
332×	`add-exp-log`
316×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	80	14
2	956	14

Stop Event

1×	node limit

Counts

1 → 57

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 2 x))

Outputs
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (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 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (+.f64 2 x) 1/8) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2))
(*.f64 (pow.f64 (+.f64 2 x) 1/8) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2) (pow.f64 (+.f64 2 x) 1/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/4) 1/3) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 5/6)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)) (pow.f64 (+.f64 2 x) 1/8))
(/.f64 1 (sqrt.f64 (/.f64 (fma.f64 x (-.f64 x 2) 4) (+.f64 (pow.f64 x 3) 8))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 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 x (-.f64 4 (*.f64 2 x)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 4 (pow.f64 x 2)) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 x 2) 4))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 4 (pow.f64 x 2)))) (sqrt.f64 (neg.f64 (-.f64 2 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -4)) (sqrt.f64 (-.f64 x 2)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.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 (pow.f64 (+.f64 2 x) 1/6)) 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))))

simplify56.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1136×	`times-frac`
626×	`associate-r`
580×	`associate-l`
450×	`fma-def`
438×	`log-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	193	2014
1	397	1949
2	961	1901
3	3634	1889

Stop Event

1×	node limit

Counts

61 → 87

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))))))
(+.f64 0 (sqrt.f64 (+.f64 2 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (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 (+.f64 1 (sqrt.f64 (+.f64 2 x))) 1)
(*.f64 (sqrt.f64 (+.f64 2 x)) 1)
(*.f64 1 (sqrt.f64 (+.f64 2 x)))
(*.f64 (cbrt.f64 (+.f64 2 x)) (pow.f64 (+.f64 2 x) 1/6))
(*.f64 (pow.f64 (+.f64 2 x) 1/6) (cbrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (+.f64 2 x) 1/4) (pow.f64 (+.f64 2 x) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 2 x))) 2) (cbrt.f64 (pow.f64 (+.f64 2 x) 5/6)))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4)) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (+.f64 2 x) 1/8) (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2))
(*.f64 (pow.f64 (+.f64 2 x) 1/8) (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (pow.f64 (/.f64 1 (-.f64 2 x)) 1/2))
(*.f64 (sqrt.f64 (-.f64 4 (pow.f64 x 2))) (sqrt.f64 (/.f64 1 (-.f64 2 x))))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (pow.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4)) 1/2))
(*.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) 8)) (sqrt.f64 (/.f64 1 (fma.f64 x (-.f64 x 2) 4))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (+.f64 2 x)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 3/4) 1/2) (pow.f64 (+.f64 2 x) 1/8))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/6) 1/2) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 2 x)) 4) 1/3) (cbrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (pow.f64 (pow.f64 (+.f64 2 x) 5/4) 1/3) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 2 x) 5/4)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 5/6)) (sqrt.f64 (pow.f64 (+.f64 2 x) 1/6)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 2 x) 3/4)) (pow.f64 (+.f64 2 x) 1/8))
(/.f64 1 (sqrt.f64 (/.f64 (fma.f64 x (-.f64 x 2) 4) (+.f64 (pow.f64 x 3) 8))))
(/.f64 1 (sqrt.f64 (/.f64 (-.f64 2 x) (-.f64 4 (pow.f64 x 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 x (-.f64 4 (*.f64 2 x)))))
(/.f64 (cbrt.f64 (*.f64 (+.f64 (pow.f64 x 3) 8) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (fma.f64 x (-.f64 x 2) 4)))
(/.f64 (cbrt.f64 (*.f64 (-.f64 4 (pow.f64 x 2)) (sqrt.f64 (+.f64 2 x)))) (cbrt.f64 (-.f64 2 x)))
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 x 3) 8))) (sqrt.f64 (neg.f64 (fma.f64 x (-.f64 x 2) 4))))
(/.f64 (sqrt.f64 (neg.f64 (-.f64 4 (pow.f64 x 2)))) (sqrt.f64 (neg.f64 (-.f64 2 x))))
(/.f64 (sqrt.f64 (fma.f64 x x -4)) (sqrt.f64 (-.f64 x 2)))
(pow.f64 (+.f64 2 x) 1/2)
(pow.f64 (sqrt.f64 (+.f64 2 x)) 1)
(pow.f64 (cbrt.f64 (+.f64 2 x)) 3/2)
(pow.f64 (pow.f64 (+.f64 2 x) 1/6) 3)
(pow.f64 (pow.f64 (+.f64 2 x) 2) 1/4)
(pow.f64 (pow.f64 (+.f64 2 x) 3) 1/6)
(pow.f64 (pow.f64 (+.f64 2 x) 3/2) 1/3)
(pow.f64 (pow.f64 (+.f64 2 x) 1/4) 2)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 2 x))))
(pow.f64 (exp.f64 1/2) (log.f64 (+.f64 2 x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 2 x)))))
(fabs.f64 (sqrt.f64 (+.f64 2 x)))
(log.f64 (exp.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 (pow.f64 (+.f64 2 x) 1/6)) 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))))

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

eval26.0ms (0.9%)

Compiler: Compiled 1090 to 919 computations (15.7% saved)

prune19.0ms (0.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	87	3	90

Accuracy

100.0%

Counts

90 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	65.1%	(sqrt.f64 (+.f64 2 x))
✓	100.0%	(sqrt.f64 (+.f64 1 (exp.f64 x)))
✓	71.8%	(sqrt.f64 2)

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes9.0ms (0.3%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	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 51 to 41 computations (19.6% saved)

regimes5.0ms (0.2%)

Accuracy

Total -4.6b remaining (-25.3%)

Threshold costs -4.6b (-25.3%)

Counts

2 → 1

Calls

Call 1

Inputs
(sqrt.f64 2)
(sqrt.f64 (+.f64 2 x))

Outputs
(sqrt.f64 2)

Calls

1 calls:

4.0ms

Results

Accuracy	Segments	Branch
71.8%	1	`x`

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`1-exp`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	23
1	15	23

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Outputs
(sqrt.f64 (+.f64 1 (exp.f64 x)))
(sqrt.f64 2)

Compiler

Compiled 9 to 8 computations (11.1% saved)

soundness59.0ms (2.1%)

Rules

1354×	`associate-/l*`
1124×	`associate-r`
1042×	`associate-/r*`
892×	`associate-l`
684×	`fma-def`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	24	144
1	53	136
2	85	136
3	165	136
4	387	108
5	1518	84

Stop Event

1×	node limit

Compiler

Compiled 85 to 56 computations (34.1% saved)

end0.0ms (0%)

preprocess32.0ms (1.1%)

Compiler: Compiled 42 to 36 computations (14.3% saved)

analyze132.0ms (4.6%)

sample1.9s (66.9%)

preprocess254.0ms (8.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize24.0ms (0.8%)

series0.0ms (0%)

rewrite99.0ms (3.4%)

simplify75.0ms (2.6%)

eval33.0ms (1.1%)

prune14.0ms (0.5%)

localize62.0ms (2.2%)

series1.0ms (0%)

rewrite48.0ms (1.7%)

simplify56.0ms (2%)

eval26.0ms (0.9%)

prune19.0ms (0.7%)

regimes9.0ms (0.3%)

regimes5.0ms (0.2%)

simplify2.0ms (0.1%)

soundness59.0ms (2.1%)

end0.0ms (0%)

preprocess32.0ms (1.1%)

Profiling