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)

sample821.0ms (45.7%)

Results

492.0ms	4089×	body	256	valid
319.0ms	4167×	body	256	infinite

Bogosity

preprocess59.0ms (3.3%)

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)

simplify50.0ms (2.8%)

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))

rewrite55.0ms (3.1%)

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))))

simplify66.0ms (3.7%)

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))

eval11.0ms (0.6%)

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

prune6.0ms (0.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	37	2	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	3	40

Accurracy

100.0%

Counts

40 → 3

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%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	49.4%	(exp.f64 -1)
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	49.4%	(exp.f64 -1)

Compiler

Compiled 38 to 30 computations (21.1% saved)

localize93.0ms (5.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite140.0ms (7.8%)

Algorithm

1×	batch-egg-rewrite

Rules

884×	`log-prod`
622×	`prod-exp`
590×	`pow-prod-down`
554×	`pow-prod-up`
522×	`pow-unpow`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	213	24
2	2673	24

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

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

simplify82.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

922×	`fma-def`
876×	`distribute-lft-in`
810×	`distribute-rgt-in`
724×	`exp-prod`
696×	`fma-neg`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	275	2916
1	683	2392
2	1829	2346
3	7181	2346

Stop Event

1×	node limit

Counts

112 → 148

Calls

Call 1

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

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

eval54.0ms (3%)

Compiler: Compiled 2196 to 1670 computations (24% saved)

prune17.0ms (1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	148	3	151

Accurracy

100.0%

Counts

151 → 3

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%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	49.4%	(exp.f64 -1)

Compiler

Compiled 43 to 32 computations (25.6% saved)

regimes25.0ms (1.4%)

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:

13.0ms	(*.f64 x x)
3.0ms	x
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(neg.f64 (-.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)

regimes32.0ms (1.8%)

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:

21.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
3.0ms	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 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
49.4%	1	`x`

Compiler

Compiled 5 to 4 computations (20% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	19	45

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

Outputs
(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 19 to 15 computations (21.1% saved)

soundness172.0ms (9.6%)

Rules

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

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 76 to 52 computations (31.6% saved)

end0.0ms (0%)

preprocess78.0ms (4.3%)

Compiler: Compiled 68 to 52 computations (23.5% saved)

analyze0.0ms (0%)

sample821.0ms (45.7%)

preprocess59.0ms (3.3%)

simplify50.0ms (2.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize24.0ms (1.3%)

series1.0ms (0%)

rewrite55.0ms (3.1%)

simplify66.0ms (3.7%)

eval11.0ms (0.6%)

prune6.0ms (0.3%)

localize93.0ms (5.2%)

series2.0ms (0.1%)

rewrite140.0ms (7.8%)

simplify82.0ms (4.6%)

eval54.0ms (3%)

prune17.0ms (1%)

regimes25.0ms (1.4%)

regimes32.0ms (1.8%)

regimes3.0ms (0.2%)

simplify5.0ms (0.3%)

soundness172.0ms (9.6%)

end0.0ms (0%)

preprocess78.0ms (4.3%)

Profiling