Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
50%	50%	50%	0%	0%	0%	0%	3
66.7%	50%	25%	0%	25%	0%	0%	4
80%	50%	12.5%	0%	37.5%	0%	0%	5
88.9%	50%	6.2%	0%	43.7%	0%	0%	6
94.1%	50%	3.1%	0%	46.9%	0%	0%	7
97%	50%	1.6%	0%	48.4%	0%	0%	8
98.5%	50%	0.8%	0%	49.2%	0%	0%	9
99.2%	50%	0.4%	0%	49.6%	0%	0%	10
99.6%	50.2%	0.2%	0%	49.6%	0%	0%	11
99.8%	50.2%	0.1%	0%	49.7%	0%	0%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample857.0ms (29.8%)

Results

845.0ms	8256×	body	256	valid
1.0ms	16×	body	256	infinite

Bogosity

preprocess60.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	13
0	1	1

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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))

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify58.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	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%)

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

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 17 to 8 computations (52.9% 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))

rewrite53.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	169	13
2	2041	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 (.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (exp.f64 (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 x x) -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 x x) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (.f64 x x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (.f64 x x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (.f64 x x) -1)) 2)) (cbrt.f64 (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (.f64 x x) -1))) (sqrt.f64 (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (.f64 x x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 x x) -1))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1))) 2) (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 (*.f64 x x) -1)) 2)) (cbrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1))) (sqrt.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 (*.f64 x x) -1))))))))

simplify48.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1298×	`associate-r`
1050×	`distribute-lft-in`
1048×	`distribute-rgt-in`
960×	`associate-l`
780×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	598
1	165	590
2	584	566
3	3337	560

Stop Event

1×	node limit

Counts

34 → 41

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

eval10.0ms (0.3%)

Compiler: Compiled 486 to 351 computations (27.8% saved)

prune6.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	4	42

Error

0.0b

Counts

42 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	0.0b	(pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	1.1b	(exp.f64 -1)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize3.0ms (0.1%)

Compiler: Compiled 4 to 4 computations (0% saved)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite57.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1900×	`add-sqr-sqrt`
1876×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1732×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	208	13
2	2470	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))) (sqrt.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))) 2) (cbrt.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 x x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 -1) (exp.f64 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 1 (+.f64 (.f64 x x) -1)) (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 (exp.f64 1)) (+.f64 (.f64 x x) -1)) (pow.f64 (sqrt.f64 (exp.f64 1)) (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (+.f64 (.f64 x x) -1)) (pow.f64 (cbrt.f64 (exp.f64 1)) (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 2) (+.f64 (.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 1) (+.f64 (.f64 x x) -1))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))) (sqrt.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))) 2) (cbrt.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 x x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 (*.f64 x x) -1)) (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 1)) (+.f64 (*.f64 x x) -1)) (pow.f64 (sqrt.f64 (exp.f64 1)) (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (+.f64 (*.f64 x x) -1)) (pow.f64 (cbrt.f64 (exp.f64 1)) (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 2) (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 (*.f64 x x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 1) (+.f64 (*.f64 x x) -1))))))))

simplify74.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

942×	`distribute-lft-in`
860×	`distribute-rgt-in`
816×	`*-commutative`
790×	`fma-def`
734×	`associate-+r-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	542
1	144	534
2	392	510
3	1356	496
4	3507	496
5	6988	496

Stop Event

1×	node limit

Counts

30 → 37

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

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.0b	(exp.f64 (+.f64 x 1))

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1050×	`associate-*r/`
876×	`*-commutative`
830×	`associate-*l/`
578×	`distribute-lft-in`
560×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	213	24
2	2662	24

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (sqrt.f64 (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) (cbrt.f64 (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (E.f64) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 x 1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1)) (pow.f64 1 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))) (cbrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1)))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (+.f64 x -1)) (pow.f64 (exp.f64 x) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -1 x)) (pow.f64 (exp.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 x -1)) (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) (+.f64 x -1)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (exp.f64 (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 (*.f64 (+.f64 x -1) 1/2)) (pow.f64 1 (*.f64 (+.f64 x -1) 1/2))) (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) (*.f64 (+.f64 x -1) 1/2)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) (*.f64 (+.f64 x -1) 1/2))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 (+.f64 x -1) 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 (+.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 (+.f64 x -1) 1/2)) (pow.f64 (exp.f64 x) (*.f64 (+.f64 x -1) 1/2))) (*.f64 (pow.f64 (E.f64) (*.f64 (+.f64 x -1) 1/2)) (pow.f64 (E.f64) (*.f64 (+.f64 x -1) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))))))))

simplify61.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

936×	`associate-/l*`
848×	`*-commutative`
788×	`distribute-lft-in`
760×	`associate-/r*`
656×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	150	1677
1	346	1407
2	1294	1343
3	3605	1343

Stop Event

1×	node limit

Counts

71 → 95

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

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

eval78.0ms (2.7%)

Compiler: Compiled 1826 to 1373 computations (24.8% saved)

prune14.0ms (0.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	130	2	132
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	131	5	136

Error

0.0b

Counts

136 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.0b	(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
✓	1.1b	(exp.f64 -1)

Compiler

Compiled 40 to 31 computations (22.5% saved)

localize36.0ms (1.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (+.f64 1 x) (-.f64 x 1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series1.0ms (0%)

Counts

2 → 20

Calls

6 calls:

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

rewrite69.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`add-sqr-sqrt`
1888×	`*-un-lft-identity`
1764×	`add-cube-cbrt`
1744×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	187	22
2	2421	22

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) 2) (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 1 x)) x) (pow.f64 (exp.f64 (+.f64 1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 (+.f64 1 x)) x) (exp.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 1 x)) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (*.f64 (+.f64 1 x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 2)) (cbrt.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 1) (-.f64 (*.f64 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 x 1) (*.f64 (-.f64 x 1) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 1 x) (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 x x) x) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))) (log.f64 (sqrt.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 1 x) x) (*.f64 (+.f64 1 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 x 1) x) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (+.f64 1 x)) (*.f64 -1 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)) (+.f64 1 x)) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) (*.f64 (+.f64 1 x) (-.f64 x 1))) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 x) (+.f64 (pow.f64 x 3) -1)) (fma.f64 x x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x 1) (-.f64 1 (*.f64 x x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 x 1) (+.f64 1 (pow.f64 x 3))) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (-.f64 x 1)) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (-.f64 x 1)) (+.f64 1 (-.f64 (*.f64 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) (+.f64 1 x)) (fma.f64 x x (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 x x) (*.f64 x x)) 1) (+.f64 (*.f64 x x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 x x) 3) 1) (+.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (+.f64 1 (*.f64 (*.f64 x x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (*.f64 (+.f64 1 x) (-.f64 x 1))) (*.f64 (-.f64 1 x) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 x x)) (+.f64 (pow.f64 x 3) -1)) (*.f64 (-.f64 1 x) (fma.f64 x x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (*.f64 (+.f64 1 x) (-.f64 x 1))) (*.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 x 3)) (+.f64 (pow.f64 x 3) -1)) (*.f64 (+.f64 1 (-.f64 (*.f64 x x) x)) (fma.f64 x x (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)) (-.f64 1 (*.f64 x x))) (*.f64 (+.f64 1 x) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)) (+.f64 1 (pow.f64 x 3))) (*.f64 (+.f64 1 x) (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) (-.f64 1 (*.f64 x x))) (*.f64 (fma.f64 x x (+.f64 1 x)) (-.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) -1) (+.f64 1 (pow.f64 x 3))) (*.f64 (fma.f64 x x (+.f64 1 x)) (+.f64 1 (-.f64 (*.f64 x x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 1 x) (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 x x -1)))))

simplify57.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1652×	`associate-/l*`
966×	`associate-/r*`
910×	`*-commutative`
844×	`associate-*r/`
786×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2172
1	570	1958
2	2699	1728

Stop Event

1×	node limit

Counts

88 → 120

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

localize71.0ms (2.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) x)
✓	0.0b	(exp.f64 (-.f64 -1 x))
	0.0b	(exp.f64 (+.f64 x 1))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))

Compiler

Compiled 35 to 25 computations (28.6% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite123.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`*-commutative`
864×	`associate-*r/`
726×	`associate-*l/`
616×	`swap-sqr`
462×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	250	57
2	3082	41

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 (exp.f64 x) (exp.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -1) (/.f64 (exp.f64 x) (pow.f64 (exp.f64 (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1))) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (neg.f64 (exp.f64 -1))) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (sqrt.f64 (exp.f64 (-.f64 -1 x)))) (sqrt.f64 (exp.f64 -1))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 -1)) (pow.f64 (exp.f64 (+.f64 x 1)) x)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (exp.f64 -1)) (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (sqrt.f64 (exp.f64 (-.f64 -1 x))))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 -1 x))) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (E.f64) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (exp.f64 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1) (/.f64 1 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (neg.f64 x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (exp.f64 x)) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 x) (exp.f64 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 -1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (exp.f64 x) (sqrt.f64 (exp.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (exp.f64 -1))) (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 -1)) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 -1))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (exp.f64 -1)) 1) (neg.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (exp.f64 -1)) (sqrt.f64 (exp.f64 (-.f64 -1 x)))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -1) 1) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (exp.f64 -1) (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (exp.f64 -1) (neg.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 x) x) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 1 (*.f64 x 1/2)) (pow.f64 1 (*.f64 x 1/2))) (pow.f64 (exp.f64 (+.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (*.f64 x 1/2))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/2)) (pow.f64 (exp.f64 x) (*.f64 x 1/2))) (*.f64 (pow.f64 (E.f64) (*.f64 x 1/2)) (pow.f64 (E.f64) (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 x (+.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))))))

simplify96.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1226×	`distribute-lft-in`
1204×	`associate-/r*`
1180×	`distribute-rgt-in`
960×	`*-commutative`
642×	`associate-/l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2948
1	595	2366
2	2696	2026

Stop Event

1×	node limit

Counts

124 → 156

Calls

Call 1

Inputs
(exp.f64 -1)
(+.f64 (.f64 (+.f64 (exp.f64 -1) (.f64 -1 (exp.f64 -1))) x) (exp.f64 -1))
(+.f64 (.f64 (+.f64 (exp.f64 -1) (.f64 -1 (exp.f64 -1))) x) (+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/2 (exp.f64 -1)) (+.f64 (.f64 3/2 (exp.f64 -1)) (.f64 -1 (exp.f64 -1)))) (pow.f64 x 2))))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/2 (exp.f64 -1)) (+.f64 (.f64 -1/6 (exp.f64 -1)) (+.f64 (.f64 -3/2 (exp.f64 -1)) (.f64 7/6 (exp.f64 -1)))))) (+.f64 (.f64 (+.f64 (exp.f64 -1) (.f64 -1 (exp.f64 -1))) x) (+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/2 (exp.f64 -1)) (+.f64 (.f64 3/2 (exp.f64 -1)) (*.f64 -1 (exp.f64 -1)))) (pow.f64 x 2)))))
(.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 (neg.f64 (+.f64 1 x))))
(.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 (neg.f64 (+.f64 1 x))))
(.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 (neg.f64 (+.f64 1 x))))
(.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 (neg.f64 (+.f64 1 x))))
(.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x)) (exp.f64 (-.f64 (.f64 -1 x) 1)))
(.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x)) (exp.f64 (-.f64 (.f64 -1 x) 1)))
(.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x)) (exp.f64 (-.f64 (.f64 -1 x) 1)))
(.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x)) (exp.f64 (-.f64 (.f64 -1 x) 1)))
(exp.f64 -1)
(+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (+.f64 (.f64 -1 (.f64 (exp.f64 -1) x)) (.f64 -1/6 (.f64 (exp.f64 -1) (pow.f64 x 3))))))
(exp.f64 (neg.f64 (+.f64 1 x)))
(exp.f64 (neg.f64 (+.f64 1 x)))
(exp.f64 (neg.f64 (+.f64 1 x)))
(exp.f64 (neg.f64 (+.f64 1 x)))
(exp.f64 (-.f64 (*.f64 -1 x) 1))
(exp.f64 (-.f64 (*.f64 -1 x) 1))
(exp.f64 (-.f64 (*.f64 -1 x) 1))
(exp.f64 (-.f64 (*.f64 -1 x) 1))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 7/6 (pow.f64 x 3)) (+.f64 (.f64 3/2 (pow.f64 x 2)) x)))
(exp.f64 (*.f64 (+.f64 1 x) x))
(exp.f64 (*.f64 (+.f64 1 x) x))
(exp.f64 (*.f64 (+.f64 1 x) x))
(exp.f64 (*.f64 (+.f64 1 x) x))
(exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x))
(exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x))
(exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x))
(exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))))) 1)
(/.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 (exp.f64 x) (exp.f64 -1)))
(/.f64 (exp.f64 -1) (/.f64 (exp.f64 x) (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (exp.f64 x))
(/.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1))) (exp.f64 x))
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (neg.f64 (exp.f64 -1))) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (sqrt.f64 (exp.f64 (-.f64 -1 x)))) (sqrt.f64 (exp.f64 -1))) (sqrt.f64 (exp.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 x)))
(/.f64 (*.f64 (neg.f64 (exp.f64 -1)) (pow.f64 (exp.f64 (+.f64 x 1)) x)) (neg.f64 (exp.f64 x)))
(/.f64 (.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) 1) (exp.f64 x))
(/.f64 (.f64 (sqrt.f64 (exp.f64 -1)) (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (sqrt.f64 (exp.f64 (-.f64 -1 x))))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) 1) (exp.f64 x))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))
(pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 2))
(log.f64 (exp.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))
(exp.f64 (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -1 x)))) 1)
(*.f64 1 (exp.f64 (-.f64 -1 x)))
(*.f64 (exp.f64 (-.f64 -1 x)) 1)
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 -1 x))) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 -1 x))))
(*.f64 (E.f64) (exp.f64 x))
(*.f64 (exp.f64 -1) (exp.f64 (neg.f64 x)))
(*.f64 (exp.f64 -1) (/.f64 1 (exp.f64 x)))
(*.f64 (exp.f64 x) (E.f64))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 -1))
(*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 -1))
(/.f64 1 (/.f64 (exp.f64 x) (exp.f64 -1)))
(/.f64 (exp.f64 -1) (exp.f64 x))
(/.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (exp.f64 x) (sqrt.f64 (exp.f64 -1))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (exp.f64 -1))) (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -1))))
(/.f64 (neg.f64 (exp.f64 -1)) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 -1))) (sqrt.f64 (exp.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 x)))
(/.f64 (*.f64 (neg.f64 (exp.f64 -1)) 1) (neg.f64 (exp.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 -1)) (sqrt.f64 (exp.f64 (-.f64 -1 x)))) (sqrt.f64 (exp.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))) (cbrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (exp.f64 -1) 1) (exp.f64 x))
(/.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (exp.f64 -1) (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (-.f64 -1 x)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 x))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3) 1/3)
(pow.f64 (E.f64) (+.f64 x 1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (exp.f64 -1) (neg.f64 (exp.f64 x))))
(sqrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))
(log.f64 (exp.f64 (exp.f64 (-.f64 -1 x))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -1 x)))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1 x))))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x))) 1)
(*.f64 1 (pow.f64 (exp.f64 (+.f64 x 1)) x))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 1)
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 1 x))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) x))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) x))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 x))
(.f64 (.f64 (pow.f64 1 (.f64 x 1/2)) (pow.f64 1 (.f64 x 1/2))) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (.f64 x 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (.f64 x 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 x 1/2))))
(.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 x 1/2)) (pow.f64 (exp.f64 x) (.f64 x 1/2))) (.f64 (pow.f64 (E.f64) (.f64 x 1/2)) (pow.f64 (E.f64) (*.f64 x 1/2))))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x))
(log.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(exp.f64 (*.f64 x (+.f64 x 1)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))

Outputs
(exp.f64 -1)
(+.f64 (.f64 (+.f64 (exp.f64 -1) (.f64 -1 (exp.f64 -1))) x) (exp.f64 -1))
(exp.f64 -1)
(+.f64 (.f64 (+.f64 (exp.f64 -1) (.f64 -1 (exp.f64 -1))) x) (+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/2 (exp.f64 -1)) (+.f64 (.f64 3/2 (exp.f64 -1)) (.f64 -1 (exp.f64 -1)))) (pow.f64 x 2))))
(+.f64 (fma.f64 (.f64 0 (exp.f64 -1)) x (exp.f64 -1)) (.f64 (fma.f64 1/2 (exp.f64 -1) (.f64 (exp.f64 -1) 1/2)) (.f64 x x)))
(+.f64 (fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1)) 0)
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(+.f64 (.f64 (pow.f64 x 3) (+.f64 (.f64 1/2 (exp.f64 -1)) (+.f64 (.f64 -1/6 (exp.f64 -1)) (+.f64 (.f64 -3/2 (exp.f64 -1)) (.f64 7/6 (exp.f64 -1)))))) (+.f64 (.f64 (+.f64 (exp.f64 -1) (.f64 -1 (exp.f64 -1))) x) (+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/2 (exp.f64 -1)) (+.f64 (.f64 3/2 (exp.f64 -1)) (*.f64 -1 (exp.f64 -1)))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (.f64 0 (exp.f64 -1)) x (exp.f64 -1)) (.f64 (fma.f64 1/2 (exp.f64 -1) (.f64 (exp.f64 -1) 1/2)) (.f64 x x)))
(+.f64 (fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1)) 0)
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 (neg.f64 (+.f64 1 x))))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 (neg.f64 (+.f64 1 x))))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 (neg.f64 (+.f64 1 x))))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 (neg.f64 (+.f64 1 x))))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x)) (exp.f64 (-.f64 (.f64 -1 x) 1)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x)) (exp.f64 (-.f64 (.f64 -1 x) 1)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x)) (exp.f64 (-.f64 (.f64 -1 x) 1)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x)) (exp.f64 (-.f64 (.f64 -1 x) 1)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 -1)
(+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x)))
(+.f64 (exp.f64 -1) (*.f64 (neg.f64 (exp.f64 -1)) x))
(-.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) x))
(*.f64 (exp.f64 -1) (-.f64 1 x))
(+.f64 (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x))))
(fma.f64 1/2 (.f64 (exp.f64 -1) (.f64 x x)) (+.f64 (exp.f64 -1) (*.f64 (neg.f64 (exp.f64 -1)) x)))
(-.f64 (fma.f64 1/2 (.f64 (exp.f64 -1) (.f64 x x)) (exp.f64 -1)) (*.f64 (exp.f64 -1) x))
(fma.f64 1/2 (.f64 (exp.f64 -1) (.f64 x x)) (*.f64 (exp.f64 -1) (-.f64 1 x)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (+.f64 (.f64 -1 (.f64 (exp.f64 -1) x)) (.f64 -1/6 (.f64 (exp.f64 -1) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (exp.f64 -1) (.f64 x x)) (+.f64 (exp.f64 -1) (fma.f64 -1 (.f64 (exp.f64 -1) x) (.f64 (*.f64 (exp.f64 -1) -1/6) (pow.f64 x 3)))))
(+.f64 (-.f64 (fma.f64 1/2 (.f64 (exp.f64 -1) (.f64 x x)) (exp.f64 -1)) (.f64 (exp.f64 -1) x)) (.f64 (exp.f64 -1) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (.f64 (exp.f64 -1) (-.f64 1 x)) (.f64 (exp.f64 -1) (+.f64 (.f64 (pow.f64 x 3) -1/6) (.f64 1/2 (*.f64 x x)))))
(exp.f64 (neg.f64 (+.f64 1 x)))
(exp.f64 (-.f64 -1 x))
(exp.f64 (neg.f64 (+.f64 1 x)))
(exp.f64 (-.f64 -1 x))
(exp.f64 (neg.f64 (+.f64 1 x)))
(exp.f64 (-.f64 -1 x))
(exp.f64 (neg.f64 (+.f64 1 x)))
(exp.f64 (-.f64 -1 x))
(exp.f64 (-.f64 (*.f64 -1 x) 1))
(exp.f64 (-.f64 -1 x))
(exp.f64 (-.f64 (*.f64 -1 x) 1))
(exp.f64 (-.f64 -1 x))
(exp.f64 (-.f64 (*.f64 -1 x) 1))
(exp.f64 (-.f64 -1 x))
(exp.f64 (-.f64 (*.f64 -1 x) 1))
(exp.f64 (-.f64 -1 x))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 3/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 3/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (.f64 7/6 (pow.f64 x 3)) (+.f64 (.f64 3/2 (pow.f64 x 2)) x)))
(+.f64 1 (fma.f64 7/6 (pow.f64 x 3) (fma.f64 3/2 (*.f64 x x) x)))
(+.f64 1 (fma.f64 (pow.f64 x 3) 7/6 (fma.f64 3/2 (*.f64 x x) x)))
(exp.f64 (*.f64 (+.f64 1 x) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(exp.f64 (*.f64 (+.f64 1 x) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(exp.f64 (*.f64 (+.f64 1 x) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(exp.f64 (*.f64 (+.f64 1 x) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(exp.f64 (.f64 (-.f64 1 (.f64 -1 x)) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))))) 1)
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 (exp.f64 x) (exp.f64 -1)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (exp.f64 -1) (/.f64 (exp.f64 x) (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (.f64 1 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1))) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (neg.f64 (exp.f64 -1))) (neg.f64 (exp.f64 x)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (sqrt.f64 (exp.f64 (-.f64 -1 x)))) (sqrt.f64 (exp.f64 -1))) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (sqrt.f64 (exp.f64 (-.f64 -1 x))))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 -1)) (sqrt.f64 (exp.f64 x))) (.f64 (exp.f64 (fma.f64 x x x)) (sqrt.f64 (exp.f64 (-.f64 -1 x)))))
(*.f64 (/.f64 (exp.f64 (fma.f64 x x x)) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 -1)))) (sqrt.f64 (exp.f64 (-.f64 -1 x))))
(/.f64 (.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 x)))
(/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (cbrt.f64 (exp.f64 (-.f64 x x)))) (/.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 -1))))
(*.f64 (/.f64 (exp.f64 (fma.f64 x x x)) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 -1)))
(*.f64 (cbrt.f64 (exp.f64 -1)) (/.f64 (exp.f64 (fma.f64 x x x)) (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (exp.f64 -1)) (pow.f64 (exp.f64 (+.f64 x 1)) x)) (neg.f64 (exp.f64 x)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) 1) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (.f64 (sqrt.f64 (exp.f64 -1)) (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (sqrt.f64 (exp.f64 (-.f64 -1 x))))) (sqrt.f64 (exp.f64 x)))
(/.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (sqrt.f64 (exp.f64 x)) (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (sqrt.f64 (exp.f64 (-.f64 -1 x))))))
(.f64 (/.f64 (sqrt.f64 (exp.f64 -1)) (sqrt.f64 (exp.f64 x))) (.f64 (exp.f64 (fma.f64 x x x)) (sqrt.f64 (exp.f64 (-.f64 -1 x)))))
(*.f64 (/.f64 (exp.f64 (fma.f64 x x x)) (/.f64 (sqrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 -1)))) (sqrt.f64 (exp.f64 (-.f64 -1 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) 1) (exp.f64 x))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (/.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(/.f64 (/.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 -1)) (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 1)
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (sqrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))) 2)
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))) 3)
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 3) 1/3)
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(sqrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x))) 2))
(fabs.f64 (exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1))))
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(log.f64 (exp.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))))))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x))) 3))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3) (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 3)))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))))
(exp.f64 (+.f64 (*.f64 x (+.f64 x 1)) (-.f64 -1 x)))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 -1 x)))) 1)
(exp.f64 (-.f64 -1 x))
(*.f64 1 (exp.f64 (-.f64 -1 x)))
(exp.f64 (-.f64 -1 x))
(*.f64 (exp.f64 (-.f64 -1 x)) 1)
(exp.f64 (-.f64 -1 x))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 (-.f64 -1 x))))
(exp.f64 (-.f64 -1 x))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 -1 x))) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 x x))) (cbrt.f64 (exp.f64 (-.f64 -1 x))))
(*.f64 1 (cbrt.f64 (exp.f64 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 -1 x))))
(*.f64 (cbrt.f64 (exp.f64 (-.f64 x x))) (cbrt.f64 (exp.f64 (-.f64 -1 x))))
(*.f64 1 (cbrt.f64 (exp.f64 (-.f64 -1 x))))
(*.f64 (E.f64) (exp.f64 x))
(exp.f64 (+.f64 x 1))
(*.f64 (exp.f64 -1) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 -1 x))
(*.f64 (exp.f64 -1) (/.f64 1 (exp.f64 x)))
(exp.f64 (-.f64 -1 x))
(*.f64 (exp.f64 x) (E.f64))
(exp.f64 (+.f64 x 1))
(*.f64 (exp.f64 (neg.f64 x)) (exp.f64 -1))
(exp.f64 (-.f64 -1 x))
(*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 -1))
(exp.f64 (-.f64 -1 x))
(/.f64 1 (/.f64 (exp.f64 x) (exp.f64 -1)))
(exp.f64 (-.f64 -1 x))
(/.f64 (exp.f64 -1) (exp.f64 x))
(exp.f64 (-.f64 -1 x))
(/.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (exp.f64 x) (sqrt.f64 (exp.f64 -1))))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 -1)) (exp.f64 x)) (sqrt.f64 (exp.f64 -1)))
(*.f64 (sqrt.f64 (exp.f64 -1)) (/.f64 (sqrt.f64 (exp.f64 -1)) (exp.f64 x)))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (exp.f64 -1))) (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -1))))
(/.f64 (cbrt.f64 (exp.f64 -1)) (/.f64 (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 -1))))
(*.f64 (cbrt.f64 (exp.f64 -1)) (/.f64 (cbrt.f64 (exp.f64 -1)) (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -1)))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 -1)) (exp.f64 x)) (.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (exp.f64 -1))))
(/.f64 (neg.f64 (exp.f64 -1)) (neg.f64 (exp.f64 x)))
(exp.f64 (-.f64 -1 x))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 -1))) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 -1)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (/.f64 (sqrt.f64 (exp.f64 -1)) (sqrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 x)))
(/.f64 (cbrt.f64 (exp.f64 (-.f64 x x))) (/.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 -1))))
(/.f64 (cbrt.f64 (exp.f64 -1)) (/.f64 (cbrt.f64 (exp.f64 x)) 1))
(*.f64 (cbrt.f64 (exp.f64 -1)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (neg.f64 (exp.f64 -1)) 1) (neg.f64 (exp.f64 x)))
(exp.f64 (-.f64 -1 x))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 -1)) (sqrt.f64 (exp.f64 (-.f64 -1 x)))) (sqrt.f64 (exp.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 -1))) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 -1)))
(*.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) (/.f64 (sqrt.f64 (exp.f64 -1)) (sqrt.f64 (exp.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))) (cbrt.f64 (exp.f64 x)))
(/.f64 (cbrt.f64 (exp.f64 (-.f64 x x))) (/.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 -1))))
(/.f64 (cbrt.f64 (exp.f64 -1)) (/.f64 (cbrt.f64 (exp.f64 x)) 1))
(*.f64 (cbrt.f64 (exp.f64 -1)) (/.f64 1 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (exp.f64 -1) 1) (exp.f64 x))
(exp.f64 (-.f64 -1 x))
(/.f64 (/.f64 (exp.f64 -1) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 x)))
(exp.f64 (-.f64 -1 x))
(/.f64 (/.f64 (exp.f64 -1) (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 x)))
(exp.f64 (-.f64 -1 x))
(pow.f64 (exp.f64 (-.f64 -1 x)) 1)
(exp.f64 (-.f64 -1 x))
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 -1 x))) 2)
(exp.f64 (-.f64 -1 x))
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 -1 x))) 3)
(exp.f64 (-.f64 -1 x))
(pow.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3) 1/3)
(exp.f64 (-.f64 -1 x))
(pow.f64 (E.f64) (+.f64 x 1))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(pow.f64 (exp.f64 (cbrt.f64 (fma.f64 x x -1))) (cbrt.f64 (+.f64 x 1)))
(neg.f64 (/.f64 (exp.f64 -1) (neg.f64 (exp.f64 x))))
(exp.f64 (-.f64 -1 x))
(sqrt.f64 (exp.f64 (+.f64 x (neg.f64 x))))
1
(log.f64 (exp.f64 (exp.f64 (-.f64 -1 x))))
(exp.f64 (-.f64 -1 x))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 -1 x)))))
(exp.f64 (-.f64 -1 x))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 -1 x)) 3))
(exp.f64 (-.f64 -1 x))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 -1 x))))
(exp.f64 (-.f64 -1 x))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 -1 x))))
(exp.f64 (-.f64 -1 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x))) 1)
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(*.f64 1 (pow.f64 (exp.f64 (+.f64 x 1)) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 1)
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 1 x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x x)) x)))
(*.f64 1 (cbrt.f64 (exp.f64 (fma.f64 x x x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x x)) x)))
(*.f64 1 (cbrt.f64 (exp.f64 (fma.f64 x x x))))
(*.f64 (exp.f64 x) (pow.f64 (exp.f64 x) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) x) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) x))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 2 x))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 x 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))
(*.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))
(*.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(.f64 (.f64 (pow.f64 1 (.f64 x 1/2)) (pow.f64 1 (.f64 x 1/2))) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (.f64 x 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (neg.f64 x)))) (.f64 x 1/2))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (.f64 x 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 x 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x x))) x) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))
(*.f64 1 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) x))
(.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 x 1/2)) (pow.f64 (exp.f64 x) (.f64 x 1/2))) (.f64 (pow.f64 (E.f64) (.f64 x 1/2)) (pow.f64 (E.f64) (*.f64 x 1/2))))
(.f64 (pow.f64 (exp.f64 x) (.f64 2 (.f64 x 1/2))) (pow.f64 (E.f64) (.f64 2 (*.f64 x 1/2))))
(*.f64 (pow.f64 (exp.f64 x) x) (pow.f64 (E.f64) x))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (neg.f64 x))) x))
1
(log.f64 (exp.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x))))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) 3))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(exp.f64 (*.f64 x (+.f64 x 1)))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)))
(pow.f64 (exp.f64 (+.f64 x 1)) x)
(exp.f64 (fma.f64 x x x))

eval152.0ms (5.3%)

Compiler: Compiled 4822 to 3442 computations (28.6% saved)

prune96.0ms (3.3%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	312	2	314
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	312	7	319

Error

Counts

319 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
▶	52.6b	(exp.f64 (*.f64 x x))
✓	1.1b	(exp.f64 -1)

Compiler

Compiled 54 to 41 computations (24.1% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (*.f64 x x))

Compiler

Compiled 9 to 3 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite50.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`add-sqr-sqrt`
990×	`*-un-lft-identity`
932×	`pow1`
914×	`add-cube-cbrt`
904×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	115	11
2	1322	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

Inputs
(exp.f64 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (*.f64 x x))) (sqrt.f64 (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) 2) (cbrt.f64 (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 x) x)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 x 4))) (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 x) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (*.f64 x x))))))))

simplify97.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

1348×	`fma-def`
910×	`associate-r`
720×	`associate-l`
716×	`*-commutative`
628×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	65	453
1	147	441
2	568	433
3	2553	433
4	4339	433
5	7474	433

Stop Event

1×	node limit

Counts

33 → 37

Calls

Call 1

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

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

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (-.f64 x 1))
✓	0.0b	(pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))

Compiler

Compiled 21 to 15 computations (28.6% saved)

series4.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(exp.f64 (-.f64 x 1))
1.0ms	x	@	inf	(pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))
1.0ms	x	@	0	(pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))
0.0ms	x	@	0	(exp.f64 (-.f64 x 1))
0.0ms	x	@	-inf	(pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))

rewrite65.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1996×	`add-sqr-sqrt`
1976×	`*-un-lft-identity`
1852×	`add-cube-cbrt`
1834×	`add-cbrt-cube`
190×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	34
1	194	24
2	2543	24

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 x 1)) (pow.f64 (exp.f64 (-.f64 x 1)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))) (sqrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 x 1))) (*.f64 (sqrt.f64 (exp.f64 (-.f64 x 1))) (pow.f64 (exp.f64 (-.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))) 2) (cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x 1))) 2) (*.f64 (cbrt.f64 (exp.f64 (-.f64 x 1))) (pow.f64 (exp.f64 (-.f64 x 1)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (exp.f64 (-.f64 x 1)) x) (exp.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 (+.f64 1 x)) (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (exp.f64 (-.f64 x 1))) (+.f64 1 x)) (pow.f64 (sqrt.f64 (exp.f64 (-.f64 x 1))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x 1))) 2) (+.f64 1 x)) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x 1))) (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 x) (pow.f64 (exp.f64 (-.f64 x 1)) x)) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 x x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 x 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (-.f64 x 1))) (sqrt.f64 (exp.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (-.f64 x 1))) (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 x 1))) 2) (cbrt.f64 (exp.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (exp.f64 -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 x) (/.f64 1 (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (E.f64) (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 x) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (exp.f64 x)) (neg.f64 (E.f64)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (-.f64 x 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (-.f64 x 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (-.f64 x 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (-.f64 x 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (-.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (-.f64 x 1)) 2)) (cbrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (-.f64 x 1))) (sqrt.f64 (-.f64 x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 x 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 x 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 x 1))))))))

simplify64.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

998×	`unswap-sqr`
798×	`associate-/r*`
570×	`associate-+r+`
558×	`associate-/r/`
554×	`associate-/l/`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	139	1594
1	315	1098
2	1297	1048
3	4985	1038

Stop Event

1×	node limit

Counts

66 → 91

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

eval35.0ms (1.2%)

Compiler: Compiled 1563 to 1146 computations (26.7% saved)

prune50.0ms (1.7%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	126	2	128
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	126	9	135

Error

Counts

135 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (-.f64 x 1)) (+.f64 1 x))
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
	52.7b	(+.f64 1 (*.f64 x x))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.1b	(exp.f64 -1)
	52.7b	1

Compiler

Compiled 62 to 47 computations (24.2% saved)

regimes19.0ms (0.7%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

5 calls:

6.0ms	x
3.0ms	(-.f64 1 (*.f64 x x))
3.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.0b	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
0.0b	1	`(-.f64 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 96 to 64 computations (33.3% saved)

regimes70.0ms (2.4%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

43.0ms	x
3.0ms	(*.f64 x 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

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.0b	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
0.0b	1	`(-.f64 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 85 to 56 computations (34.1% saved)

regimes55.0ms (1.9%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

44.0ms	x
2.0ms	(*.f64 x 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

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.0b	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
0.0b	1	`(-.f64 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 69 to 44 computations (36.2% saved)

regimes7.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(exp.f64 -1)

Calls

2 calls:

4.0ms	x
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.1b	1	`x`
1.1b	1	`(*.f64 x x)`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes7.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	(*.f64 x x)
3.0ms	x

Results

Error	Segments	Branch
52.7b	1	`x`
52.7b	1	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

12×	`+-commutative`
4×	`sub-neg`
4×	`*-commutative`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	92
1	28	92
2	31	92
3	33	92
4	34	92

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 39 to 30 computations (23.1% saved)

soundness125.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
756×	`associate-/l*`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	9	21
1	21	17
2	54	17
3	108	13
4	251	13
5	614	13
6	1856	13
7	5658	13

Stop Event

1×	node limit

Compiler

Compiled 36 to 22 computations (38.9% saved)

end34.0ms (1.2%)

Compiler: Compiled 34 to 24 computations (29.4% saved)

Details

analyze3.0ms (0.1%)

sample857.0ms (29.8%)

preprocess60.0ms (2.1%)

simplify58.0ms (2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series1.0ms (0%)

rewrite53.0ms (1.8%)

simplify48.0ms (1.7%)

eval10.0ms (0.3%)

prune6.0ms (0.2%)

localize3.0ms (0.1%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite57.0ms (2%)

simplify74.0ms (2.6%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite62.0ms (2.2%)

simplify61.0ms (2.1%)

eval78.0ms (2.7%)

prune14.0ms (0.5%)

localize36.0ms (1.2%)

series1.0ms (0%)

rewrite69.0ms (2.4%)

simplify57.0ms (2%)

localize71.0ms (2.5%)

series2.0ms (0.1%)

rewrite123.0ms (4.3%)

simplify96.0ms (3.3%)

eval152.0ms (5.3%)

prune96.0ms (3.3%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite50.0ms (1.7%)

simplify97.0ms (3.4%)

localize10.0ms (0.4%)

series4.0ms (0.1%)

rewrite65.0ms (2.3%)

simplify64.0ms (2.2%)

eval35.0ms (1.2%)

prune50.0ms (1.7%)

regimes19.0ms (0.7%)

regimes70.0ms (2.4%)

regimes55.0ms (1.9%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

simplify6.0ms (0.2%)

soundness125.0ms (4.3%)

end34.0ms (1.2%)

Profiling