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)

sample875.0ms (24.2%)

Results

863.0ms	8256×	body	256	valid
1.0ms	15×	body	256	infinite

Bogosity

preprocess47.0ms (1.3%)

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)

simplify54.0ms (1.5%)

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))

rewrite53.0ms (1.5%)

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))))))))

simplify59.0ms (1.6%)

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)

prune259.0ms (7.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	36	4	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	5	41

Error

0.0b

Counts

41 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	0.1b	(pow.f64 (E.f64) (fma.f64 x x -1))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	1.8b	(exp.f64 -1)

Compiler

Compiled 34 to 26 computations (23.5% saved)

localize3.0ms (0.1%)

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

localize9.0ms (0.2%)

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)

rewrite59.0ms (1.6%)

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)))))))

simplify68.0ms (1.9%)

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)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (E.f64) (fma.f64 x x -1))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite51.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1572×	`add-sqr-sqrt`
1556×	`*-un-lft-identity`
1436×	`add-cube-cbrt`
1420×	`add-cbrt-cube`
1406×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	180	13
2	2023	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(pow.f64 (E.f64) (fma.f64 x x -1))

Outputs

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

simplify53.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1274×	`associate-/r/`
1130×	`associate-+r+`
1080×	`associate-/l/`
1042×	`associate-+l+`
682×	`unswap-sqr`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	634
1	186	582
2	495	498
3	1379	492
4	3916	484

Stop Event

1×	node limit

Counts

22 → 38

Calls

Call 1

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

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

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)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite60.0ms (1.7%)

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))))))))

simplify60.0ms (1.7%)

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))

eval102.0ms (2.8%)

Compiler: Compiled 2469 to 1758 computations (28.8% saved)

prune100.0ms (2.8%)

Pruning

7 alts after pruning (2 fresh and 5 done)

	Pruned	Kept	Total
New	192	2	194
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	192	7	199

Error

Counts

199 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.1b	(pow.f64 (E.f64) (fma.f64 x x -1))
▶	0.1b	(*.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)))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.0b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.8b	(exp.f64 -1)

Compiler

Compiled 62 to 48 computations (22.6% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite86.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1456×	`add-sqr-sqrt`
1440×	`*-un-lft-identity`
1330×	`add-cube-cbrt`
1312×	`add-cbrt-cube`
1298×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	28
1	172	24
2	1898	24

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1002×	`fma-def`
900×	`unswap-sqr`
810×	`*-commutative`
672×	`associate-/l*`
668×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	877
1	228	853
2	918	817
3	2659	807
4	5159	807

Stop Event

1×	node limit

Counts

57 → 64

Calls

Call 1

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

localize51.0ms (1.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 36 computations (23.4% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite102.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1074×	`associate-*r/`
1052×	`*-commutative`
716×	`associate-*l/`
708×	`distribute-lft-in`
672×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	65
1	257	45
2	3258	45

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

(*.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 x -1))

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

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

simplify87.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1090×	`fma-def`
738×	`associate-/l*`
732×	`*-commutative`
720×	`distribute-lft-in`
676×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	3962
1	636	3844
2	2061	2982

Stop Event

1×	node limit

Counts

112 → 158

Calls

Call 1

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

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

eval313.0ms (8.6%)

Compiler: Compiled 10025 to 7767 computations (22.5% saved)

prune132.0ms (3.7%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	413	1	414
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	414	7	421

Error

Counts

421 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1)) 2)
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.1b	(pow.f64 (E.f64) (fma.f64 x x -1))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.8b	(exp.f64 -1)

Compiler

Compiled 54 to 42 computations (22.2% saved)

localize21.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts

4 → 32

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1)) 2)
0.0ms	x	@	0	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1))
0.0ms	x	@	0	(sqrt.f64 (exp.f64 (+.f64 1 x)))
0.0ms	x	@	-inf	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1)) 2)
0.0ms	x	@	-inf	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1))

rewrite115.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1152×	`associate-*r/`
1020×	`*-commutative`
790×	`associate-*l/`
570×	`distribute-lft-in`
556×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	86
1	259	76
2	3227	68

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (exp.f64 (/.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)) (pow.f64 1 (+.f64 -2 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2))) (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 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(exp.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) x) 1)) (sqrt.f64 (exp.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) x) (pow.f64 (exp.f64 (+.f64 1 x)) 1/4))) (pow.f64 (exp.f64 (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (/.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) x) (cbrt.f64 (exp.f64 (+.f64 1 x))))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (neg.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) x))) (neg.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)))) (sqrt.f64 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simplify199.0ms (5.5%)

Algorithm

1×	egg-herbie

Rules

1484×	`distribute-lft-in`
1472×	`distribute-rgt-in`
1050×	`times-frac`
852×	`associate-/l*`
530×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	11347
1	1228	10287
2	5300	10255

Stop Event

1×	node limit

Counts

243 → 357

Calls

Call 1

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

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

eval223.0ms (6.2%)

Compiler: Compiled 8288 to 6602 computations (20.3% saved)

prune84.0ms (2.3%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	356	1	357
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	357	7	364

Error

Counts

364 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	0.1b	(pow.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 x 1/2))) (-.f64 x 1)) 2)
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.1b	(pow.f64 (E.f64) (fma.f64 x x -1))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.8b	(exp.f64 -1)

Compiler

Compiled 55 to 43 computations (21.8% saved)

regimes20.0ms (0.6%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
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 113 to 82 computations (27.4% saved)

regimes15.0ms (0.4%)

Accuracy

Total -1.8b remaining (-5708.6%)

Threshold costs -1.8b (-5708.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
3.0ms	(neg.f64 (-.f64 1 (*.f64 x 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 64 to 43 computations (32.8% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	43
1	14	43

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

soundness113.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 36 to 22 computations (38.9% saved)

end20.0ms (0.6%)

Compiler: Compiled 16 to 12 computations (25% saved)

Details

analyze3.0ms (0.1%)

sample875.0ms (24.2%)

preprocess47.0ms (1.3%)

simplify54.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite53.0ms (1.5%)

simplify59.0ms (1.6%)

eval10.0ms (0.3%)

prune259.0ms (7.2%)

localize3.0ms (0.1%)

localize9.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (1.6%)

simplify68.0ms (1.9%)

localize8.0ms (0.2%)

series1.0ms (0%)

rewrite51.0ms (1.4%)

simplify53.0ms (1.5%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite60.0ms (1.7%)

simplify60.0ms (1.7%)

eval102.0ms (2.8%)

prune100.0ms (2.8%)

localize10.0ms (0.3%)

series1.0ms (0%)

rewrite86.0ms (2.4%)

simplify62.0ms (1.7%)

localize51.0ms (1.4%)

series5.0ms (0.1%)

rewrite102.0ms (2.8%)

simplify87.0ms (2.4%)

eval313.0ms (8.6%)

prune132.0ms (3.7%)

localize21.0ms (0.6%)

series1.0ms (0%)

rewrite115.0ms (3.2%)

simplify199.0ms (5.5%)

eval223.0ms (6.2%)

prune84.0ms (2.3%)

regimes20.0ms (0.6%)

regimes15.0ms (0.4%)

simplify4.0ms (0.1%)

soundness113.0ms (3.1%)

end20.0ms (0.6%)

Profiling