Metrics for exp neg sub

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
100%	100%	0%	0%	0%	0%	0%	1

Compiler

Compiled 9 to 7 computations (22.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

Operation ival-sub, time spent: 0.0ms, 0.0% of total-time

Operation ival-exp, time spent: 0.0ms, 0.0% of total-time

Operation ival-mult, time spent: 0.0ms, 0.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

Operation ival-neg, time spent: 0.0ms, 0.0% of total-time

sample1.1s (29.3%)

Results

422.0ms	4167×	256	infinite
554.0ms	4088×	256	valid
0.0ms	1×	256	infinite

Precisions

Click to see histograms. Total time spent on operations: 276.0ms

Operation ival-exp, time spent: 84.0ms, 30.0% of total-time

Operation ival-mult, time spent: 84.0ms, 30.0% of total-time

Operation ival-sub, time spent: 52.0ms, 19.0% of total-time

Operation ival-neg, time spent: 42.0ms, 15.0% of total-time

Operation const, time spent: 14.0ms, 5.0% of total-time

Bogosity

preprocess337.0ms (9.2%)

Algorithm

1×	egg-herbie

Rules

1446×	`fma-neg`
742×	`div-sub`
704×	`fma-define`
646×	`times-frac`
636×	`associate-r`

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`x`
-	-	`(*.f64 x x)`
-	-	`(-.f64 1 (*.f64 x x))`
-	-	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
-	-	`(neg.f64 (-.f64 1 (*.f64 x x)))`
-	-	`1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	46	96
2	92	96
3	182	80
4	372	80
5	924	80
6	4092	80
7	7009	80

Stop Event

1×	node limit

Calls

Call 1

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

Outputs
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x)))))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(neg.f64 (exp.f64 (neg.f64 (-.f64 1 (*.f64 (neg.f64 x) (neg.f64 x))))))
(neg.f64 (exp.f64 (neg.f64 (-.f64 1 (*.f64 x x)))))
(neg.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
(neg.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(neg.f64 (exp.f64 (fma.f64 x x -1)))

Symmetry

(abs x)

Compiler

Compiled 58 to 32 computations (44.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

Operation ival-sub, time spent: 11.0ms, 41.0% of total-time

Operation ival-exp, time spent: 5.0ms, 19.0% of total-time

Operation ival-neg, time spent: 5.0ms, 19.0% of total-time

Operation ival-mult, time spent: 4.0ms, 15.0% of total-time

Operation const, time spent: 2.0ms, 8.0% of total-time

eval1.0ms (0%)

Compiler: Compiled 18 to 11 computations (38.9% saved)

prune1.0ms (0%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize109.0ms (3%)

Localize:

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

Precisions

Click to see histograms. Total time spent on operations: 8.0ms

Operation ival-exp, time spent: 3.0ms, 35.0% of total-time

Operation ival-add, time spent: 3.0ms, 35.0% of total-time

Operation ival-mult, time spent: 2.0ms, 24.0% of total-time

Operation const, time spent: 1.0ms, 12.0% of total-time

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite201.0ms (5.5%)

Algorithm

1×	batch-egg-rewrite

Rules

748×	`unpow-prod-down`
434×	`log1p-expm1-u`
434×	`expm1-log1p-u`
430×	`cbrt-prod`
430×	`log-prod`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	102	19
2	1241	19

Stop Event

1×	node limit

Counts

1 → 63

Calls

Call 1

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

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

simplify83.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

856×	`sqr-pow`
724×	`fma-define`
716×	`associate-/l*`
594×	`associate-*r/`
528×	`unswap-sqr`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	200	2845
1	476	2748
2	1295	2664
3	4095	2641

Stop Event

1×	node limit

Counts

75 → 105

Calls

Call 1

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

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

eval41.0ms (1.1%)

Compiler: Compiled 1453 to 1104 computations (24% saved)

prune14.0ms (0.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	103	3	106

Accuracy

100.0%

Counts

106 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.6%	(/.f64 (fma.f64 x x 1) (E.f64))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	51.4%	(exp.f64 -1)

Compiler

Compiled 17 to 13 computations (23.5% saved)

localize170.0ms (4.7%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.5%	(/.f64 (fma.f64 x x 1) (E.f64))

Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 146.0ms

Operation ival-e, time spent: 125.0ms, 85.0% of total-time

Operation composed, time spent: 8.0ms, 5.0% of total-time

Operation ival-exp, time spent: 4.0ms, 3.0% of total-time

Operation ival-mult, time spent: 4.0ms, 3.0% of total-time

Operation ival-add, time spent: 3.0ms, 2.0% of total-time

Operation ival-div, time spent: 2.0ms, 1.0% of total-time

Operation const, time spent: 1.0ms, 1.0% of total-time

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (fma.f64 x x 1) (E.f64))
1.0ms	x	@	inf	(/.f64 (fma.f64 x x 1) (E.f64))
1.0ms	x	@	-inf	(/.f64 (fma.f64 x x 1) (E.f64))

rewrite93.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`unpow-prod-down`
452×	`cbrt-prod`
450×	`log-prod`
420×	`log1p-expm1-u`
420×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	97	23
2	1141	23

Stop Event

1×	node limit

Counts

1 → 69

Calls

Call 1

Inputs
(/.f64 (fma.f64 x x 1) (E.f64))

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

simplify221.0ms (6%)

Algorithm

1×	egg-herbie

Rules

916×	`fma-neg`
878×	`prod-exp`
640×	`exp-prod`
600×	`times-frac`
598×	`cube-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	224	3212
1	531	2922
2	1415	2607
3	5130	2603

Stop Event

1×	node limit

Counts

81 → 98

Calls

Call 1

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

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

eval43.0ms (1.2%)

Compiler: Compiled 1375 to 1102 computations (19.9% saved)

prune13.0ms (0.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	0	0
Picked	1	1	2
Done	0	1	1
Total	97	4	101

Accuracy

100.0%

Counts

101 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(/.f64 (fma.f64 x x 1) (E.f64))
▶	30.4%	(/.f64 (pow.f64 x 2) (E.f64))
▶	51.4%	(/.f64 1 (E.f64))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 24 to 19 computations (20.8% saved)

localize75.0ms (2.1%)

Localize:

Found 1 expressions with local error:

New	Accuracy	Program
✓	99.4%	(/.f64 (pow.f64 x 2) (E.f64))

Compiler

Compiled 18 to 12 computations (33.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 48.0ms

Operation ival-div, time spent: 40.0ms, 84.0% of total-time

Operation ival-e, time spent: 3.0ms, 6.0% of total-time

Operation ival-pow, time spent: 3.0ms, 6.0% of total-time

Operation const, time spent: 1.0ms, 2.0% of total-time

series3.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (pow.f64 x 2) (E.f64))
1.0ms	x	@	0	(/.f64 (pow.f64 x 2) (E.f64))
1.0ms	x	@	-inf	(/.f64 (pow.f64 x 2) (E.f64))

rewrite69.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`unpow-prod-down`
440×	`cbrt-prod`
434×	`log-prod`
389×	`log1p-expm1-u`
389×	`expm1-log1p-u`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	94	18
2	1133	18

Stop Event

1×	node limit

Counts

1 → 67

Calls

Call 1

Inputs
(/.f64 (pow.f64 x 2) (E.f64))

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

simplify80.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1066×	`fma-neg`
818×	`times-frac`
760×	`exp-prod`
572×	`associate-/l*`
562×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	1837
1	494	1819
2	1392	1807
3	5214	1749

Stop Event

1×	node limit

Counts

67 → 81

Calls

Call 1

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

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

eval31.0ms (0.9%)

Compiler: Compiled 955 to 746 computations (21.9% saved)

prune12.0ms (0.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	80	1	81
Fresh	0	0	0
Picked	0	2	2
Done	0	2	2
Total	80	5	85

Accuracy

100.0%

Counts

85 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(/.f64 (fma.f64 x x 1) (E.f64))
✓	30.4%	(/.f64 (pow.f64 x 2) (E.f64))
✓	51.4%	(/.f64 1 (E.f64))
▶	30.1%	(*.f64 x (/.f64 x (E.f64)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 30 to 23 computations (23.3% saved)

localize30.0ms (0.8%)

Localize:

Found 2 expressions with local error:

New	Accuracy	Program
✓	99.8%	(*.f64 x (/.f64 x (E.f64)))
✓	99.5%	(/.f64 x (E.f64))

Compiler

Compiled 12 to 5 computations (58.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

Operation ival-e, time spent: 3.0ms, 41.0% of total-time

Operation ival-div, time spent: 2.0ms, 27.0% of total-time

Operation ival-mult, time spent: 2.0ms, 27.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

series4.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

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

rewrite80.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

944×	`unpow-prod-down`
498×	`log-prod`
496×	`cbrt-prod`
430×	`log1p-expm1-u`
430×	`expm1-log1p-u`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	33
1	92	30
2	1192	30

Stop Event

1×	node limit

Counts

2 → 100

Calls

Call 1

Inputs
(/.f64 x (E.f64))
(*.f64 x (/.f64 x (E.f64)))

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

simplify101.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1934×	`fma-neg`
950×	`unswap-sqr`
888×	`times-frac`
722×	`fma-define`
554×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	277	2403
1	650	2307
2	1724	2263
3	7715	2263

Stop Event

1×	node limit

Counts

112 → 128

Calls

Call 1

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

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

eval38.0ms (1%)

Compiler: Compiled 1406 to 843 computations (40% saved)

prune21.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	127	6	133

Accuracy

100.0%

Counts

133 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	78.6%	(/.f64 (fma.f64 x x 1) (E.f64))
	30.4%	(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (E.f64)))
	30.1%	(/.f64 x (/.f64 (E.f64) x))
✓	51.4%	(/.f64 1 (E.f64))
✓	30.1%	(*.f64 x (/.f64 x (E.f64)))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 85 to 56 computations (34.1% saved)

regimes20.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

Inputs
(/.f64 1 (E.f64))
(*.f64 x (/.f64 x (E.f64)))
(/.f64 x (/.f64 (E.f64) x))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (E.f64)))
(exp.f64 -1)
(/.f64 (pow.f64 x 2) (E.f64))
(exp.f64 (+.f64 (*.f64 x x) -1))
(/.f64 (fma.f64 x x 1) (E.f64))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))

Calls

5 calls:

6.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(-.f64 1 (*.f64 x x))
3.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
3.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
100.0%	1	`(-.f64 1 (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 27 to 18 computations (33.3% saved)

regimes11.0ms (0.3%)

Counts

6 → 2

Calls

Call 1

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

Outputs
(/.f64 1 (E.f64))
(/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (E.f64)))

Calls

1 calls:

11.0ms

Results

Accuracy	Segments	Branch
78.1%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes7.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
(/.f64 1 (E.f64))
(*.f64 x (/.f64 x (E.f64)))
(/.f64 x (/.f64 (E.f64) x))

Outputs
(/.f64 1 (E.f64))
(*.f64 x (/.f64 x (E.f64)))

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
77.7%	2	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

regimes3.0ms (0.1%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 1 (E.f64))

Outputs
(/.f64 1 (E.f64))

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
51.4%	1	`x`

Compiler

Compiled 2 to 1 computations (50% saved)

bsearch19.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.00031702641471019477	11389.672179549225

Results

16.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 138 to 117 computations (15.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-exp, time spent: 2.0ms, 41.0% of total-time

Operation ival-sub, time spent: 1.0ms, 20.0% of total-time

Operation ival-mult, time spent: 1.0ms, 20.0% of total-time

Operation ival-neg, time spent: 1.0ms, 20.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

bsearch19.0ms (0.5%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
19.0ms	0.00031702641471019477	11389.672179549225

Results

16.0ms	143×	256	valid
0.0ms	1×	256	valid

Compiler

Compiled 120 to 99 computations (17.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

Operation ival-exp, time spent: 2.0ms, 43.0% of total-time

Operation ival-sub, time spent: 1.0ms, 22.0% of total-time

Operation ival-mult, time spent: 1.0ms, 22.0% of total-time

Operation ival-neg, time spent: 1.0ms, 22.0% of total-time

Operation const, time spent: 0.0ms, 0.0% of total-time

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

70×	`distribute-lft-neg-in`
58×	`unsub-neg`
54×	`neg-mul-1`
50×	`neg-sub0`
42×	`distribute-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	25	124
1	41	124
2	55	116
3	77	116
4	116	116
5	165	116
6	223	116
7	256	116
8	297	116
9	309	116
10	312	116

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(exp.f64 (+.f64 (*.f64 x x) -1))
(if (<=.f64 x 1) (/.f64 1 (E.f64)) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (E.f64))))
(if (<=.f64 x 1) (/.f64 1 (E.f64)) (*.f64 x (/.f64 x (E.f64))))
(/.f64 1 (E.f64))

Outputs
(exp.f64 (+.f64 (*.f64 x x) -1))
(if (<=.f64 x 1) (/.f64 1 (E.f64)) (/.f64 (*.f64 (neg.f64 x) x) (neg.f64 (E.f64))))
(if (<=.f64 x 1) (/.f64 1 (E.f64)) (/.f64 (*.f64 x (neg.f64 x)) (neg.f64 (E.f64))))
(if (<=.f64 x 1) (/.f64 1 (E.f64)) (/.f64 (*.f64 x x) (E.f64)))
(if (<=.f64 x 1) (/.f64 1 (E.f64)) (*.f64 x (/.f64 x (E.f64))))
(/.f64 1 (E.f64))

Compiler

Compiled 37 to 27 computations (27% saved)

soundness573.0ms (15.7%)

Rules

1446×	`fma-neg`
944×	`unpow-prod-down`
856×	`sqr-pow`
820×	`unpow-prod-down`
742×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	112
1	46	96
2	92	96
3	182	80
4	372	80
5	924	80
6	4092	80
7	7009	80
0	200	2845
1	476	2748
2	1295	2664
3	4095	2641
0	9	18
1	94	18
2	1133	18
0	8	33
1	92	30
2	1192	30

Stop Event

1×	node limit
1×	node limit
1×	node limit
1×	node limit

Compiler

Compiled 179 to 110 computations (38.5% saved)

end0.0ms (0%)

preprocess39.0ms (1.1%)

Remove: (abs x)
Compiler: Compiled 126 to 84 computations (33.3% saved)

Iter	Nodes	Cost
0	25	124
1	41	124
2	55	116
3	77	116
4	116	116
5	165	116
6	223	116
7	256	116
8	297	116
9	309	116
10	312	116

Iter	Nodes	Cost
0	25	124
1	41	124
2	55	116
3	77	116
4	116	116
5	165	116
6	223	116
7	256	116
8	297	116
9	309	116
10	312	116

analyze0.0ms (0%)

sample1.1s (29.3%)

preprocess337.0ms (9.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize109.0ms (3%)

series2.0ms (0.1%)

rewrite201.0ms (5.5%)

simplify83.0ms (2.3%)

eval41.0ms (1.1%)

prune14.0ms (0.4%)

localize170.0ms (4.7%)

series3.0ms (0.1%)

rewrite93.0ms (2.5%)

simplify221.0ms (6%)

eval43.0ms (1.2%)

prune13.0ms (0.3%)

localize75.0ms (2.1%)

series3.0ms (0.1%)

rewrite69.0ms (1.9%)

simplify80.0ms (2.2%)

eval31.0ms (0.9%)

prune12.0ms (0.3%)

localize30.0ms (0.8%)

series4.0ms (0.1%)

rewrite80.0ms (2.2%)

simplify101.0ms (2.8%)

eval38.0ms (1%)

prune21.0ms (0.6%)

regimes20.0ms (0.5%)

regimes11.0ms (0.3%)

regimes7.0ms (0.2%)

regimes3.0ms (0.1%)

bsearch19.0ms (0.5%)

bsearch19.0ms (0.5%)

simplify14.0ms (0.4%)

soundness573.0ms (15.7%)

end0.0ms (0%)

preprocess39.0ms (1.1%)

Profiling

Iter	Nodes	Cost
0	25	124
1	41	124
2	55	116
3	77	116
4	116	116
5	165	116
6	223	116
7	256	116
8	297	116
9	309	116
10	312	116