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)

sample1.0s (34.4%)

Results

1.0s	8256×	body	256	valid
2.0ms	19×	body	256	infinite

Bogosity

preprocess72.0ms (2.4%)

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)

simplify52.0ms (1.8%)

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)

localize7.0ms (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))

rewrite65.0ms (2.2%)

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

Outputs

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

simplify70.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1242×	`associate-+r+`
1016×	`associate-r`
910×	`fma-def`
840×	`*-commutative`
838×	`associate-l`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	74	598
1	157	590
2	559	566
3	2906	552
4	7133	552

Stop Event

1×	node limit

Counts

34 → 40

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

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

eval10.0ms (0.3%)

Compiler: Compiled 442 to 336 computations (24% saved)

prune6.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	37	3	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	4	41

Error

0.0b

Counts

41 → 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	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	1.2b	(exp.f64 -1)

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize3.0ms (0.1%)

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

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite85.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1384×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1348×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	173	28
2	1938	28

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

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

Outputs

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

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

simplify66.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

1638×	`fma-def`
1250×	`associate-r`
1058×	`associate-l`
760×	`distribute-lft-in`
754×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	888
1	215	784
2	698	748
3	3588	738
4	7762	738

Stop Event

1×	node limit

Counts

52 → 61

Calls

Call 1

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

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

localize10.0ms (0.3%)

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 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	@	0	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
0.0ms	x	@	-inf	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
0.0ms	x	@	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))

rewrite66.0ms (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
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(exp.f64 (+.f64 x 1))

Outputs

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

((#(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))))))))

simplify57.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-/l*`
848×	`*-commutative`
762×	`distribute-lft-in`
754×	`associate-/r*`
648×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	149	1657
1	344	1407
2	1269	1343
3	3527	1335

Stop Event

1×	node limit

Counts

71 → 95

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

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

eval47.0ms (1.6%)

Compiler: Compiled 1980 to 1439 computations (27.3% saved)

prune18.0ms (0.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	154	2	156
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	154	6	160

Error

0.0b

Counts

160 → 6

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 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) (exp.f64 -1))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.0b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.2b	(exp.f64 -1)

Compiler

Compiled 55 to 40 computations (27.3% saved)

localize21.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
✓	0.0b	(cbrt.f64 (exp.f64 x))
✓	0.0b	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (exp.f64 -1))
✓	0.0b	(pow.f64 (cbrt.f64 (exp.f64 x)) 2)

Compiler

Compiled 57 to 24 computations (57.9% saved)

series7.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	0	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (exp.f64 -1))
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (exp.f64 x)) 2)
1.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (exp.f64 x)) 2)
1.0ms	x	@	-inf	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (exp.f64 -1))
1.0ms	x	@	inf	(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (exp.f64 -1))

rewrite107.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1096×	`unswap-sqr`
1066×	`*-commutative`
662×	`swap-sqr`
522×	`sqr-pow`
476×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	66
1	283	62
2	3315	54

Stop Event

1×	node limit

Counts

4 → 129

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (exp.f64 x)) 2)
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (exp.f64 -1))
(cbrt.f64 (exp.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 x 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 x) 1/6) (sqrt.f64 (exp.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4) (cbrt.f64 (exp.f64 (.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (.f64 x 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (exp.f64 (.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6)) (pow.f64 (exp.f64 x) 1/6)) (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6)) (pow.f64 (exp.f64 x) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 (exp.f64 x) 1/6) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6))) (.f64 (pow.f64 (exp.f64 x) 1/6) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (cbrt.f64 (exp.f64 (.f64 x 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4))) (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))))) (.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 1/6) (pow.f64 (pow.f64 (exp.f64 x) 2) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (.f64 x 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 x 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (.f64 x 2/3))))))))
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expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 x (.f64 x 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))))))

simplify110.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1100×	`fma-def`
1002×	`associate-/r/`
598×	`distribute-rgt-in`
584×	`distribute-lft-in`
514×	`times-frac`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	368	5395
1	963	4403
2	2734	4109
3	7398	4097

Stop Event

1×	node limit

Counts

177 → 240

Calls

Call 1

Inputs
1
(+.f64 (*.f64 2/3 x) 1)
(+.f64 (.f64 2/3 x) (+.f64 1 (.f64 2/9 (pow.f64 x 2))))
(+.f64 (.f64 2/3 x) (+.f64 1 (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 4/81 (pow.f64 x 3)))))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(exp.f64 -1)
(+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/3 (exp.f64 -1)) (*.f64 2/3 (exp.f64 -1))) (pow.f64 x 2)))
(+.f64 (.f64 (+.f64 (.f64 4/9 (exp.f64 -1)) (.f64 1/18 (exp.f64 -1))) (pow.f64 x 4)) (+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/3 (exp.f64 -1)) (.f64 2/3 (exp.f64 -1))) (pow.f64 x 2))))
(+.f64 (.f64 (+.f64 (.f64 1/27 (exp.f64 -1)) (+.f64 (.f64 4/81 (exp.f64 -1)) (+.f64 (.f64 2/27 (exp.f64 -1)) (.f64 1/162 (exp.f64 -1))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 4/9 (exp.f64 -1)) (.f64 1/18 (exp.f64 -1))) (pow.f64 x 4)) (+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/3 (exp.f64 -1)) (*.f64 2/3 (exp.f64 -1))) (pow.f64 x 2)))))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
1
(+.f64 1 (*.f64 1/3 x))
(+.f64 1 (+.f64 (.f64 1/18 (pow.f64 x 2)) (.f64 1/3 x)))
(+.f64 1 (+.f64 (.f64 1/162 (pow.f64 x 3)) (+.f64 (.f64 1/18 (pow.f64 x 2)) (*.f64 1/3 x))))
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (exp.f64 x) 1/3)
1
(+.f64 (*.f64 2/3 (pow.f64 x 2)) 1)
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (.f64 2/9 (pow.f64 x 4))))
(+.f64 (.f64 2/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (.f64 4/81 (pow.f64 x 6)) (*.f64 2/9 (pow.f64 x 4)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x))
(+.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 x 2/3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (*.f64 x 2/3)))) 1)
(*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 x)))
(.f64 (exp.f64 (.f64 x 2/3)) 1)
(.f64 1 (exp.f64 (.f64 x 2/3)))
(*.f64 (sqrt.f64 (exp.f64 x)) (pow.f64 (exp.f64 x) 1/6))
(*.f64 (pow.f64 (exp.f64 x) 1/6) (sqrt.f64 (exp.f64 x)))
(.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4))
(.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (*.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4) (cbrt.f64 (exp.f64 (.f64 x 2/3))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 x 2/3)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (exp.f64 (*.f64 x 2/3))))
(.f64 (.f64 (cbrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 (*.f64 x 2/3)))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(.f64 (.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (exp.f64 (*.f64 x 2/3)))
(.f64 (.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6)) (pow.f64 (exp.f64 x) 1/6)) (.f64 (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6)) (pow.f64 (exp.f64 x) 1/6)))
(.f64 (.f64 (pow.f64 (exp.f64 x) 1/6) (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6))) (.f64 (pow.f64 (exp.f64 x) 1/6) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))) (*.f64 (sqrt.f64 (sqrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (cbrt.f64 (exp.f64 (*.f64 x 2/3)))))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4)) (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))))) (.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x 2/3))))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) 3/2) (pow.f64 (cbrt.f64 (exp.f64 (*.f64 x 2/3))) 3/2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 1/6) (pow.f64 (pow.f64 (exp.f64 x) 2) 1/6))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 x 2/3)))) 1))))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4))
(log.f64 (exp.f64 (exp.f64 (*.f64 x 2/3))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (*.f64 x 2/3)))))
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(expm1.f64 (log1p.f64 (exp.f64 (*.f64 x 2/3))))
(exp.f64 (*.f64 x 2/3))
(log1p.f64 (expm1.f64 (exp.f64 (*.f64 x 2/3))))
(+.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) 1)
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (.f64 x x))))) (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (.f64 x x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (.f64 x x))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (.f64 x x))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (.f64 x x))))) (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (.f64 x x)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (.f64 x x))))) 1))))
(pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (exp.f64 -1) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))
(+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) -1)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) 1)
(*.f64 (cbrt.f64 (exp.f64 x)) 1)
(.f64 (cbrt.f64 (exp.f64 x)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))
(*.f64 1 (cbrt.f64 (exp.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) 1/6) (pow.f64 (exp.f64 x) 1/6))
(.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 (.f64 x 2/3))))
(.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4)))
(.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4)) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3)))))
(.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (exp.f64 x)))
(.f64 (.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6)) (*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6) (pow.f64 (sqrt.f64 (exp.f64 x)) 1/6)))
(.f64 (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (*.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (sqrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))) (.f64 (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 x) 1/6))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x)))) (cbrt.f64 (cbrt.f64 (exp.f64 x)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/6)) (sqrt.f64 (cbrt.f64 (exp.f64 (*.f64 x 2/3))))))
(.f64 (pow.f64 (exp.f64 (.f64 x 2/3)) 1/4) (pow.f64 (exp.f64 (*.f64 x 2/3)) 1/4))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3/2) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3/2))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 x)))) 1))))
(pow.f64 (exp.f64 x) 1/3)
(pow.f64 (cbrt.f64 (exp.f64 x)) 1)
(pow.f64 (exp.f64 (*.f64 x 2/3)) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 x)) 2/3)
(pow.f64 (pow.f64 (exp.f64 x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 3)
(sqrt.f64 (exp.f64 (*.f64 x 2/3)))
(fabs.f64 (cbrt.f64 (exp.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 x))))
(exp.f64 (*.f64 x 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 x))))
(+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))) -1)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))) 1)
(.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)) 1)
(.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)) (pow.f64 1 x))
(.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)) (pow.f64 1 (+.f64 x x)))
(.f64 1 (pow.f64 (exp.f64 x) (.f64 x 2/3)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (pow.f64 (exp.f64 x) 1/6) x))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (sqrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))
(.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))
(.f64 (pow.f64 1 x) (pow.f64 (exp.f64 x) (.f64 x 2/3)))
(.f64 (pow.f64 1 (+.f64 x x)) (pow.f64 (exp.f64 x) (.f64 x 2/3)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (+.f64 x x)) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (+.f64 x x)))
(.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (+.f64 x x)) (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) (+.f64 x x)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4) x) (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) x))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 (.f64 x 2/3))) x) (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) 4) x))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x))) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 4))) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 4))))
(.f64 (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (pow.f64 (exp.f64 x) 1/6) (.f64 x 1/2))) (.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (pow.f64 (exp.f64 x) 1/6) (*.f64 x 1/2))))
(.f64 (.f64 (pow.f64 (exp.f64 (.f64 x 2/3)) (/.f64 x 4)) (pow.f64 (pow.f64 (exp.f64 x) 1/6) x)) (.f64 (pow.f64 (exp.f64 (*.f64 x 2/3)) (/.f64 x 4)) (pow.f64 (pow.f64 (exp.f64 x) 1/6) x)))
(.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (pow.f64 (exp.f64 (.f64 x 2/3)) (/.f64 x 4))) (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (pow.f64 (exp.f64 (*.f64 x 2/3)) (/.f64 x 4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 4)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 4)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))
(.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (.f64 x 1/2)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))) (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (*.f64 x 1/2)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))))
(.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 x 2/3) 2)) (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 2/3) 2)))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))) 3/2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/6) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/6))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) (/.f64 x 4)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) (/.f64 x 4)))
(.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x 2/3)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) 2)) (pow.f64 (pow.f64 (exp.f64 (*.f64 x 2/3)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) 2)))
(.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x 2/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) 2)) (pow.f64 (pow.f64 (exp.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) 2)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) 1))))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 x 4)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))
(exp.f64 (.f64 x (.f64 x 2/3)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))

Outputs
1
(+.f64 (*.f64 2/3 x) 1)
(fma.f64 2/3 x 1)
(+.f64 (.f64 2/3 x) (+.f64 1 (.f64 2/9 (pow.f64 x 2))))
(+.f64 (fma.f64 2/3 x 1) (.f64 2/9 (.f64 x x)))
(fma.f64 2/3 x (fma.f64 2/9 (*.f64 x x) 1))
(fma.f64 2/3 x (fma.f64 x (*.f64 x 2/9) 1))
(+.f64 (.f64 2/3 x) (+.f64 1 (+.f64 (.f64 2/9 (pow.f64 x 2)) (*.f64 4/81 (pow.f64 x 3)))))
(+.f64 (fma.f64 2/3 x 1) (fma.f64 2/9 (.f64 x x) (.f64 4/81 (pow.f64 x 3))))
(fma.f64 2/3 x (fma.f64 x (*.f64 x 2/9) (fma.f64 4/81 (pow.f64 x 3) 1)))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(pow.f64 (pow.f64 (exp.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 x) 2))
(exp.f64 -1)
(+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/3 (exp.f64 -1)) (*.f64 2/3 (exp.f64 -1))) (pow.f64 x 2)))
(+.f64 (exp.f64 -1) (.f64 (.f64 x x) (*.f64 (exp.f64 -1) 1)))
(fma.f64 (*.f64 x x) (exp.f64 -1) (exp.f64 -1))
(fma.f64 x (*.f64 x (exp.f64 -1)) (exp.f64 -1))
(+.f64 (.f64 (+.f64 (.f64 4/9 (exp.f64 -1)) (.f64 1/18 (exp.f64 -1))) (pow.f64 x 4)) (+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/3 (exp.f64 -1)) (.f64 2/3 (exp.f64 -1))) (pow.f64 x 2))))
(fma.f64 (.f64 (exp.f64 -1) 1/2) (pow.f64 x 4) (+.f64 (exp.f64 -1) (.f64 (.f64 x x) (.f64 (exp.f64 -1) 1))))
(fma.f64 (.f64 (exp.f64 -1) 1/2) (pow.f64 x 4) (fma.f64 (.f64 x x) (exp.f64 -1) (exp.f64 -1)))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 x x) (*.f64 1/2 (pow.f64 x 4)))))
(+.f64 (.f64 (+.f64 (.f64 1/27 (exp.f64 -1)) (+.f64 (.f64 4/81 (exp.f64 -1)) (+.f64 (.f64 2/27 (exp.f64 -1)) (.f64 1/162 (exp.f64 -1))))) (pow.f64 x 6)) (+.f64 (.f64 (+.f64 (.f64 4/9 (exp.f64 -1)) (.f64 1/18 (exp.f64 -1))) (pow.f64 x 4)) (+.f64 (exp.f64 -1) (.f64 (+.f64 (.f64 1/3 (exp.f64 -1)) (*.f64 2/3 (exp.f64 -1))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 1/27 (exp.f64 -1) (fma.f64 4/81 (exp.f64 -1) (.f64 (exp.f64 -1) 13/162))) (pow.f64 x 6) (fma.f64 (.f64 (exp.f64 -1) 1/2) (pow.f64 x 4) (+.f64 (exp.f64 -1) (.f64 (.f64 x x) (*.f64 (exp.f64 -1) 1)))))
(fma.f64 (fma.f64 (exp.f64 -1) 1/27 (.f64 (exp.f64 -1) 7/54)) (pow.f64 x 6) (fma.f64 (.f64 (exp.f64 -1) 1/2) (pow.f64 x 4) (fma.f64 (*.f64 x x) (exp.f64 -1) (exp.f64 -1))))
(fma.f64 (.f64 (exp.f64 -1) 1/6) (pow.f64 x 6) (+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (.f64 (exp.f64 -1) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))
(exp.f64 (+.f64 (fma.f64 x (.f64 2/3 x) -1) (.f64 x (*.f64 x 1/3))))
(exp.f64 (+.f64 -1 (.f64 (.f64 x x) 1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (.f64 (exp.f64 -1) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))
(exp.f64 (+.f64 (fma.f64 x (.f64 2/3 x) -1) (.f64 x (*.f64 x 1/3))))
(exp.f64 (+.f64 -1 (.f64 (.f64 x x) 1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (.f64 (exp.f64 -1) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))
(exp.f64 (+.f64 (fma.f64 x (.f64 2/3 x) -1) (.f64 x (*.f64 x 1/3))))
(exp.f64 (+.f64 -1 (.f64 (.f64 x x) 1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (.f64 (exp.f64 -1) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))
(exp.f64 (+.f64 (fma.f64 x (.f64 2/3 x) -1) (.f64 x (*.f64 x 1/3))))
(exp.f64 (+.f64 -1 (.f64 (.f64 x x) 1)))
(.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 1/3)) x)) (.f64 (exp.f64 (.f64 (log.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/3) 2)) x)) (exp.f64 -1)))
(.f64 (.f64 (exp.f64 -1) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) x))
(exp.f64 (+.f64 (fma.f64 x (.f64 2/3 x) -1) (.f64 x (*.f64 x 1/3))))
(exp.f64 (+.f64 -1 (.f64 (.f64 x x) 1)))
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(.f64 (pow.f64 (pow.f64 (exp.f64 2/3) x) (.f64 2 (/.f64 x 4))) (pow.f64 (pow.f64 (exp.f64 x) 1/6) (+.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (+.f64 x x)) (pow.f64 (pow.f64 (exp.f64 2/3) x) (/.f64 x 2)))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (+.f64 x x)) (pow.f64 (pow.f64 (exp.f64 2/3) x) (.f64 x 1/2)))
(.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (pow.f64 (exp.f64 (.f64 x 2/3)) (/.f64 x 4))) (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (pow.f64 (exp.f64 (*.f64 x 2/3)) (/.f64 x 4))))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (.f64 (pow.f64 (exp.f64 (.f64 2/3 x)) (/.f64 x 4)) (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (pow.f64 (exp.f64 (*.f64 2/3 x)) (/.f64 x 4)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 2/3) x) (.f64 2 (/.f64 x 4))) (pow.f64 (pow.f64 (exp.f64 x) 1/6) (+.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (+.f64 x x)) (pow.f64 (pow.f64 (exp.f64 2/3) x) (/.f64 x 2)))
(.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (+.f64 x x)) (pow.f64 (pow.f64 (exp.f64 2/3) x) (.f64 x 1/2)))
(.f64 (.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))) (*.f64 (sqrt.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (pow.f64 (exp.f64 x) 1/6) x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (sqrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 4)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))) (*.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 4)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))
(.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 4)) (*.f64 (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 4)))))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (.f64 2 (/.f64 x 4))) (sqrt.f64 (pow.f64 (exp.f64 x) x)))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) (/.f64 x 2)))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (cbrt.f64 (exp.f64 x)) (.f64 x 1/2)))
(.f64 (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (.f64 x 1/2)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))) (.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) (*.f64 x 1/2)) (sqrt.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (pow.f64 (pow.f64 (exp.f64 x) 1/6) x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 1/6) x) (sqrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4))) (*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2))
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2) 3)
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))))
(.f64 (.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4)) (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 4) (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2))
(pow.f64 (pow.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) x)) 2) 3)
(.f64 (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))) (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(.f64 (pow.f64 (exp.f64 x) (/.f64 (.f64 x 2/3) 2)) (pow.f64 (exp.f64 x) (/.f64 (*.f64 x 2/3) 2)))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))) 3/2) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))) 3/2))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/6) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/6))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) (/.f64 x 4)) (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) (/.f64 x 4)))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) (*.f64 2 (/.f64 x 4)))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) (/.f64 x 2))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 4) (*.f64 x 1/2))
(.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x 2/3)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) 2)) (pow.f64 (pow.f64 (exp.f64 (*.f64 x 2/3)) (sqrt.f64 x)) (/.f64 (sqrt.f64 x) 2)))
(pow.f64 (pow.f64 (exp.f64 (.f64 2/3 x)) (sqrt.f64 x)) (.f64 2 (/.f64 (sqrt.f64 x) 2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 2/3) x) (sqrt.f64 x)) (*.f64 2 (/.f64 (sqrt.f64 x) 2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 2/3) x) (sqrt.f64 x)) (*.f64 1 (sqrt.f64 x)))
(.f64 (pow.f64 (pow.f64 (exp.f64 (.f64 x 2/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) 2)) (pow.f64 (pow.f64 (exp.f64 (*.f64 x 2/3)) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (cbrt.f64 x) 2)))
(pow.f64 (pow.f64 (exp.f64 (.f64 2/3 x)) (pow.f64 (cbrt.f64 x) 2)) (.f64 2 (/.f64 (cbrt.f64 x) 2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 2/3) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 (*.f64 2 (cbrt.f64 x)) 2))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 2/3) x) (pow.f64 (cbrt.f64 x) 2)) (/.f64 2 (/.f64 2 (cbrt.f64 x))))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 2/3) x) (pow.f64 (cbrt.f64 x) 2)) (*.f64 1 (cbrt.f64 x)))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) 1))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 x 2/3)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x))) (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x))))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x)))) (exp.f64 (.f64 2 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x))))))))
(/.f64 (expm1.f64 (.f64 3 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x)))) (pow.f64 (exp.f64 2) (log1p.f64 (pow.f64 (exp.f64 x) (.f64 2/3 x)))))))
(sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) (*.f64 x 4)))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3)))))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/6) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x x)) 1/6))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(exp.f64 (.f64 x (.f64 x 2/3)))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))))
(pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x)
(pow.f64 (exp.f64 x) (*.f64 2/3 x))

localize12.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 11 computations (63.3% saved)

series2.0ms (0.1%)

Counts

3 → 28

Calls

9 calls:

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

rewrite46.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

990×	`add-sqr-sqrt`
970×	`*-un-lft-identity`
924×	`pow1`
902×	`add-cube-cbrt`
894×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	73
1	224	7
2	3253	7

Stop Event

1×	node limit

Counts

3 → 13

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

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

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1242×	`cancel-sign-sub-inv`
1008×	`associate-r`
834×	`associate-l`
620×	`distribute-rgt-out`
572×	`fma-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	887
1	169	859
2	661	727
3	2937	717
4	5673	717

Stop Event

1×	node limit

Counts

41 → 56

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 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) 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))))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
1
(-.f64 (+.f64 1 (exp.f64 -1)) 1)
(pow.f64 (exp.f64 -1) 1)
(pow.f64 (sqrt.f64 (exp.f64 -1)) 2)
(pow.f64 (cbrt.f64 (exp.f64 -1)) 3)
(pow.f64 (pow.f64 (exp.f64 -1) 3) 1/3)
(sqrt.f64 (exp.f64 -2))
(log.f64 (exp.f64 (exp.f64 -1)))
(cbrt.f64 (pow.f64 (exp.f64 -1) 3))
(expm1.f64 (log1p.f64 (exp.f64 -1)))
(exp.f64 -1)
(log1p.f64 (expm1.f64 (exp.f64 -1)))
1

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))
(+.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)))
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(exp.f64 (.f64 2 (.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x)))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
(pow.f64 (sqrt.f64 (exp.f64 x)) (*.f64 x 2))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2)
(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 (.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 (pow.f64 x 4) (exp.f64 -1))))
(+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))))
(*.f64 (exp.f64 -1) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 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 (pow.f64 x 6) (exp.f64 -1)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1)))))
(fma.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1)) (+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1)))))
(fma.f64 (fma.f64 x x 1) (exp.f64 -1) (.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (.f64 1/6 (pow.f64 x 6)))))
(*.f64 (exp.f64 -1) (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1))))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(exp.f64 (+.f64 -1 (.f64 2 (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))))
(exp.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))) -1))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (exp.f64 -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (exp.f64 -1))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(exp.f64 (+.f64 -1 (.f64 2 (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))))
(exp.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))) -1))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (exp.f64 -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (exp.f64 -1))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(exp.f64 (+.f64 -1 (.f64 2 (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))))
(exp.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))) -1))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (exp.f64 -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (exp.f64 -1))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(exp.f64 (+.f64 -1 (.f64 2 (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))))
(exp.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))) -1))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (exp.f64 -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (exp.f64 -1))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(exp.f64 (+.f64 -1 (.f64 2 (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))))
(exp.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))) -1))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (exp.f64 -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (exp.f64 -1))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(exp.f64 (+.f64 -1 (.f64 2 (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))))
(exp.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))) -1))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (exp.f64 -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (exp.f64 -1))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(exp.f64 (+.f64 -1 (.f64 2 (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))))
(exp.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))) -1))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (exp.f64 -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (exp.f64 -1))
(.f64 (exp.f64 -1) (exp.f64 (.f64 2 (*.f64 (log.f64 (sqrt.f64 (exp.f64 x))) x))))
(exp.f64 (+.f64 -1 (.f64 2 (.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))))
(exp.f64 (+.f64 (.f64 x (.f64 2 (log.f64 (sqrt.f64 (exp.f64 x))))) -1))
(.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (.f64 x 2)) (exp.f64 -1))
(*.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) x) 2) (exp.f64 -1))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(fma.f64 x 1/2 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/2 1))
(fma.f64 x (*.f64 x 1/8) (fma.f64 x 1/2 1))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 1 (*.f64 1/48 (pow.f64 x 3)))))
(fma.f64 1/8 (.f64 x x) (+.f64 (fma.f64 1/2 x 1) (.f64 1/48 (pow.f64 x 3))))
(fma.f64 (*.f64 x x) 1/8 (fma.f64 x 1/2 (fma.f64 1/48 (pow.f64 x 3) 1)))
(fma.f64 x 1/2 (fma.f64 x (*.f64 x 1/8) (fma.f64 1/48 (pow.f64 x 3) 1)))
1
(-.f64 (+.f64 1 (exp.f64 -1)) 1)
(exp.f64 -1)
(pow.f64 (exp.f64 -1) 1)
(exp.f64 -1)
(pow.f64 (sqrt.f64 (exp.f64 -1)) 2)
(exp.f64 -1)
(pow.f64 (cbrt.f64 (exp.f64 -1)) 3)
(exp.f64 -1)
(pow.f64 (pow.f64 (exp.f64 -1) 3) 1/3)
(exp.f64 -1)
(sqrt.f64 (exp.f64 -2))
(exp.f64 -1)
(log.f64 (exp.f64 (exp.f64 -1)))
(exp.f64 -1)
(cbrt.f64 (pow.f64 (exp.f64 -1) 3))
(exp.f64 -1)
(expm1.f64 (log1p.f64 (exp.f64 -1)))
(exp.f64 -1)
(exp.f64 -1)
(log1p.f64 (expm1.f64 (exp.f64 -1)))
(exp.f64 -1)
1

eval142.0ms (4.8%)

Compiler: Compiled 8020 to 4573 computations (43% saved)

prune94.0ms (3.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	353	1	354
Fresh	0	0	0
Picked	0	1	1
Done	1	4	5
Total	354	6	360

Error

0.0b

Counts

360 → 6

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 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) (exp.f64 -1))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.0b	(.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.2b	(exp.f64 -1)

Compiler

Compiled 51 to 40 computations (21.6% saved)

localize17.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (exp.f64 x))
✓	0.0b	(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))
✓	0.0b	(.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (exp.f64 -1))
✓	4.0b	(log.f64 (sqrt.f64 (exp.f64 x)))

Compiler

Compiled 44 to 20 computations (54.5% saved)

series112.0ms (3.7%)

Counts

3 → 28

Calls

9 calls:

Time	Variable		Point	Expression
69.0ms	x	@	0	(log.f64 (sqrt.f64 (exp.f64 x)))
25.0ms	x	@	-inf	(log.f64 (sqrt.f64 (exp.f64 x)))
16.0ms	x	@	inf	(log.f64 (sqrt.f64 (exp.f64 x)))
1.0ms	x	@	0	(.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (exp.f64 -1))
0.0ms	x	@	-inf	(.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (exp.f64 -1))

rewrite81.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1076×	`*-commutative`
926×	`unswap-sqr`
664×	`swap-sqr`
528×	`sqr-pow`
480×	`pow-sqr`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	81
1	268	57
2	3011	35

Stop Event

1×	node limit

Counts

3 → 109

Calls

Call 1

Inputs
(log.f64 (sqrt.f64 (exp.f64 x)))
(.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (exp.f64 -1))
(pow.f64 (exp.f64 2) (*.f64 x (log.f64 (sqrt.f64 (exp.f64 x)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/4)) (log.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (exp.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x 1/2) 1/2) (*.f64 (*.f64 x 1/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (cbrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (exp.f64 x) 1/4))) (log.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 x)))) (*.f64 1 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (exp.f64 x) 1/4))) (*.f64 1 (log.f64 (pow.f64 (exp.f64 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (*.f64 x 1/2)) (*.f64 1/2 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/2 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (*.f64 1/2 (log.f64 (cbrt.f64 (exp.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) 1) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/4)) 1) (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/4)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 1/2) (*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (exp.f64 (log1p.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (pow.f64 (exp.f64 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 x 1/2)) (sqrt.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x 1/2)) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2) (cbrt.f64 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 x 1/2))) (cbrt.f64 (*.f64 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 x 1/2))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/2)))) (*.f64 (cbrt.f64 (*.f64 x 1/2)) (sqrt.f64 (cbrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x 1/2)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 2)) (cbrt.f64 (sqrt.f64 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3/2) (pow.f64 (cbrt.f64 (*.f64 x 1/2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/6) (pow.f64 (pow.f64 (*.f64 x 1/2) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 x) (/.f64 2 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 x) (/.f64 2 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 x) 2) (/.f64 2 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 1/4 (*.f64 x x))) (-.f64 0 (*.f64 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (exp.f64 x)))) (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))))) (-.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/4)) (log.f64 (pow.f64 (exp.f64 x) 1/4))) (*.f64 (log.f64 (pow.f64 (exp.f64 x) 1/4)) (log.f64 (pow.f64 (exp.f64 x) 1/4)))) (-.f64 (log.f64 (pow.f64 (exp.f64 x) 1/4)) (log.f64 (pow.f64 (exp.f64 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) (exp.f64 (log1p.f64 (*.f64 x 1/2)))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 x 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 0 (pow.f64 (*.f64 x 1/2) 3)) (+.f64 0 (-.f64 (*.f64 1/4 (*.f64 x x)) (*.f64 0 (*.f64 x 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (cbrt.f64 (exp.f64 x))) 3) (pow.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) 3)) (+.f64 (*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (exp.f64 x)))) (-.f64 (*.f64 (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))) (*.f64 (log.f64 (cbrt.f64 (exp.f64 x))) (log.f64 (cbrt.f64 (sqrt.f64 (exp.f64 x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (exp.f64 x) 1/4)) 3) (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3) (pow.f64 (exp.f64 -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (+.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))))))

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

simplify43.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

488×	`associate-r`
372×	`associate-l`
234×	`*-commutative`
234×	`fma-def`
218×	`sqr-pow`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	322	959
1	857	959
2	3765	959

Stop Event

1×

unsound

Counts

137 → 119

Calls

Call 1

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

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

eval60.0ms (2%)

Compiler: Compiled 2609 to 1809 computations (30.7% saved)

prune18.0ms (0.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	130	1	131
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	132	5	137

Error

0.0b

Counts

137 → 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 x) x) (exp.f64 -1))
	0.0b	(.f64 (pow.f64 (exp.f64 2) (.f64 x (/.f64 x 2))) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.2b	(exp.f64 -1)

Compiler

Compiled 39 to 31 computations (20.5% saved)

regimes20.0ms (0.7%)

Counts

9 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(.f64 (pow.f64 (exp.f64 2) (.f64 x (/.f64 x 2))) (exp.f64 -1))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x x)) (exp.f64 -1))
(.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (exp.f64 -1))
(.f64 (.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2) x) (pow.f64 (cbrt.f64 (exp.f64 x)) x)) (exp.f64 -1))

Outputs
(.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (exp.f64 -1))

Calls

5 calls:

8.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.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 107 to 72 computations (32.7% saved)

regimes16.0ms (0.5%)

Counts

7 → 1

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (exp.f64 2) (.f64 x (/.f64 x 2))) (exp.f64 -1))

Calls

5 calls:

5.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.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 79 to 55 computations (30.4% saved)

regimes16.0ms (0.5%)

Accuracy

Total -1.2b remaining (-5392.1%)

Threshold costs -1.2b (-5392.1%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	94
1	26	94

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (exp.f64 2) (.f64 x (log.f64 (sqrt.f64 (exp.f64 x))))) (exp.f64 -1))
(.f64 (pow.f64 (exp.f64 2) (.f64 x (/.f64 x 2))) (exp.f64 -1))
(.f64 (exp.f64 -1) (pow.f64 (exp.f64 2) (.f64 x (/.f64 x 2))))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 -1)

Compiler

Compiled 35 to 29 computations (17.1% saved)

soundness288.0ms (9.6%)

Algorithm

3×	egg-herbie

Rules

1638×	`fma-def`
1370×	`associate-+r+`
1250×	`associate-r`
1242×	`cancel-sign-sub-inv`
1144×	`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
0	94	888
1	215	784
2	698	748
3	3588	738
4	7762	738
0	70	887
1	169	859
2	661	727
3	2937	717
4	5673	717

Stop Event

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

Compiler

Compiled 108 to 65 computations (39.8% saved)

end34.0ms (1.1%)

Compiler: Compiled 32 to 26 computations (18.8% saved)

Details

analyze3.0ms (0.1%)

sample1.0s (34.4%)

preprocess72.0ms (2.4%)

simplify52.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite65.0ms (2.2%)

simplify70.0ms (2.3%)

eval10.0ms (0.3%)

prune6.0ms (0.2%)

localize3.0ms (0.1%)

localize8.0ms (0.3%)

series1.0ms (0%)

rewrite85.0ms (2.8%)

simplify66.0ms (2.2%)

localize10.0ms (0.3%)

series2.0ms (0.1%)

rewrite66.0ms (2.2%)

simplify57.0ms (1.9%)

eval47.0ms (1.6%)

prune18.0ms (0.6%)

localize21.0ms (0.7%)

series7.0ms (0.2%)

rewrite107.0ms (3.6%)

simplify110.0ms (3.7%)

localize12.0ms (0.4%)

series2.0ms (0.1%)

rewrite46.0ms (1.5%)

simplify62.0ms (2.1%)

eval142.0ms (4.8%)

prune94.0ms (3.1%)

localize17.0ms (0.6%)

series112.0ms (3.7%)

rewrite81.0ms (2.7%)

simplify43.0ms (1.4%)

eval60.0ms (2%)

prune18.0ms (0.6%)

regimes20.0ms (0.7%)

regimes16.0ms (0.5%)

regimes16.0ms (0.5%)

simplify5.0ms (0.2%)

soundness288.0ms (9.6%)

end34.0ms (1.1%)

Profiling