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)

sample907.0ms (49.5%)

Results

495.0ms	4148×	body	256	infinite
401.0ms	4108×	body	256	valid

Bogosity

preprocess57.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1996×	`fma-def`
1492×	`div-sub`
1302×	`times-frac`
666×	`associate-*r/`
518×	`fma-neg`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	42
1	38	34
2	79	34
3	157	26
4	291	26
5	624	26
6	2046	26
7	5731	26

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 (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 (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))

Symmetry

(abs x)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify45.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1788×	`fma-def`
1314×	`div-sub`
834×	`times-frac`
716×	`associate-l`
696×	`associate-/r*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	50	17
3	114	13
4	240	13
5	536	13
6	1626	13
7	5506	13

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

eval1.0ms (0%)

Compiler: Compiled 25 to 15 computations (40% saved)

prune1.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Accurracy

100.0%

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize24.0ms (1.3%)

Local Accuracy

Found 1 expressions with local accuracy:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite58.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1590×	`pow1`
1468×	`add-exp-log`
1468×	`log1p-expm1-u`
1468×	`expm1-log1p-u`
1440×	`add-log-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	169	13
2	2030	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs
(+.f64 1 (expm1.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 1 (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 2) (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))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3)
(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 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (exp.f64 1) (fma.f64 x x -1))
(pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))
(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))))

simplify56.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

1218×	`fma-def`
1106×	`times-frac`
620×	`associate-r`
556×	`associate-l`
548×	`*-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	598
1	158	590
2	460	566
3	2454	552
4	6111	552

Stop Event

1×	node limit

Counts

34 → 39

Calls

Call 1

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

eval10.0ms (0.5%)

Compiler: Compiled 432 to 329 computations (23.8% saved)

prune9.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Accurracy

100.0%

Counts

40 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	52.4%	(exp.f64 -1)
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	52.4%	(exp.f64 -1)

Compiler

Compiled 54 to 42 computations (22.2% saved)

localize111.0ms (6.1%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 43 to 28 computations (34.9% saved)

series4.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (4%)

Algorithm

1×	batch-egg-rewrite

Rules

1186×	`log-prod`
852×	`pow-prod-down`
772×	`pow-prod-up`
734×	`pow-pow`
586×	`pow-exp`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	53
1	290	37
2	3615	37

Stop Event

1×	node limit

Counts

3 → 132

Calls

Call 1

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

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

simplify70.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1494×	`fma-def`
1204×	`distribute-lft-in`
1114×	`distribute-rgt-in`
1090×	`unswap-sqr`
464×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	296	3462
1	728	3304
2	2196	3150

Stop Event

1×	node limit

Counts

168 → 166

Calls

Call 1

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

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

eval48.0ms (2.6%)

Compiler: Compiled 2179 to 1618 computations (25.7% saved)

prune21.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	166	0	166
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	166	4	170

Accurracy

100.0%

Counts

170 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	52.4%	(exp.f64 -1)

Compiler

Compiled 58 to 43 computations (25.9% saved)

regimes16.0ms (0.9%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
4.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (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 58 to 40 computations (31% saved)

regimes15.0ms (0.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	x
3.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (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 51 to 35 computations (31.4% saved)

regimes15.0ms (0.8%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
3.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(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 43 to 29 computations (32.6% saved)

regimes3.0ms (0.2%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(exp.f64 -1)

Outputs
(exp.f64 -1)

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
52.4%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	66
1	23	66

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 27 to 21 computations (22.2% saved)

soundness218.0ms (11.9%)

Rules

1788×	`fma-def`
1590×	`pow1`
1590×	`pow1`
1468×	`add-exp-log`
1468×	`log1p-expm1-u`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	50	17
3	114	13
4	240	13
5	536	13
6	1626	13
7	5506	13
0	8	13
1	169	13
2	2030	13
0	8	13
1	169	13
2	2030	13

Stop Event

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

Compiler

Compiled 97 to 66 computations (32% saved)

end0.0ms (0%)

preprocess63.0ms (3.4%)

Compiler: Compiled 80 to 60 computations (25% saved)

analyze0.0ms (0%)

sample907.0ms (49.5%)

preprocess57.0ms (3.1%)

simplify45.0ms (2.5%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize24.0ms (1.3%)

series1.0ms (0%)

rewrite58.0ms (3.2%)

simplify56.0ms (3.1%)

eval10.0ms (0.5%)

prune9.0ms (0.5%)

localize111.0ms (6.1%)

series4.0ms (0.2%)

rewrite73.0ms (4%)

simplify70.0ms (3.8%)

eval48.0ms (2.6%)

prune21.0ms (1.2%)

regimes16.0ms (0.9%)

regimes15.0ms (0.8%)

regimes15.0ms (0.8%)

regimes3.0ms (0.2%)

simplify5.0ms (0.3%)

soundness218.0ms (11.9%)

end0.0ms (0%)

preprocess63.0ms (3.4%)

Profiling