Details

analyze21.0ms (0.6%)

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)

sample924.0ms (26.4%)

Results

903.0ms	8256×	body	256	valid
1.0ms	12×	body	256	infinite

Bogosity

preprocess62.0ms (1.8%)

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)

simplify55.0ms (1.6%)

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

Accurracy

100.0%

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

Local Accuracy

Found 1 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(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))

rewrite86.0ms (2.4%)

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))))))))

simplify68.0ms (1.9%)

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)

prune40.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Accurracy

100.0%

Counts

41 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	99.0%	(exp.f64 -1)

Compiler

Compiled 27 to 21 computations (22.2% saved)

localize3.0ms (0.1%)

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

localize9.0ms (0.3%)

Local Accuracy

Found 2 expressions with local accuracy:

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

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

rewrite92.0ms (2.6%)

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

Outputs
((#(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)))))))
((#(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)))))))))

Outputs

((#(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)))))))

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

simplify74.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1638×	`fma-def`
1278×	`associate-r`
1076×	`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	700	748
3	3611	738
4	7783	738

Stop Event

1×	node limit

Counts

52 → 61

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 (+.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)))
(-.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)))))

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

localize41.0ms (1.2%)

Local Accuracy

Found 2 expressions with local accuracy:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (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	@	-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	@	0	(exp.f64 (+.f64 x 1))
0.0ms	x	@	-inf	(exp.f64 (+.f64 x 1))

rewrite73.0ms (2.1%)

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))))))))

simplify61.0ms (1.8%)

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))

eval67.0ms (1.9%)

Compiler: Compiled 1979 to 1441 computations (27.2% saved)

prune64.0ms (1.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	155	5	160

Accurracy

100.0%

Counts

160 → 5

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	100.0%	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	99.0%	(exp.f64 -1)

Compiler

Compiled 47 to 37 computations (21.3% saved)

localize25.0ms (0.7%)

Local Accuracy

Found 3 expressions with local accuracy:

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

Compiler

Compiled 47 to 36 computations (23.4% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 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	@	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)))
0.0ms	x	@	inf	(sqrt.f64 (exp.f64 (+.f64 x 1)))

rewrite67.0ms (1.9%)

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	38
1	257	28
2	3258	28

Stop Event

1×	node limit

Counts

2 → 46

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)))
(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 (+.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)))))))))

simplify58.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1372×	`associate-r`
1212×	`associate-l`
718×	`times-frac`
678×	`fma-def`
568×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	194	2280
1	483	2242
2	1524	1734

Stop Event

1×	node limit

Counts

70 → 95

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

eval163.0ms (4.7%)

Compiler: Compiled 5664 to 4369 computations (22.9% saved)

prune31.0ms (0.9%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	222	2	224
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	223	6	229

Accurracy

100.0%

Counts

229 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1)) 2)
▶	100.0%	(pow.f64 (exp.f64 (+.f64 x (+.f64 2 x))) (+.f64 -1/2 (*.f64 x 1/2)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	99.0%	(exp.f64 -1)

Compiler

Compiled 52 to 41 computations (21.2% saved)

localize36.0ms (1%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x (+.f64 2 x))) (+.f64 -1/2 (*.f64 x 1/2)))
✓	100.0%	(+.f64 x (+.f64 2 x))
✓	100.0%	(exp.f64 (+.f64 x (+.f64 2 x)))

Compiler

Compiled 39 to 28 computations (28.2% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (exp.f64 (+.f64 x (+.f64 2 x))) (+.f64 -1/2 (*.f64 x 1/2)))
1.0ms	x	@	inf	(exp.f64 (+.f64 x (+.f64 2 x)))
0.0ms	x	@	0	(exp.f64 (+.f64 x (+.f64 2 x)))
0.0ms	x	@	inf	(+.f64 x (+.f64 2 x))
0.0ms	x	@	-inf	(pow.f64 (exp.f64 (+.f64 x (+.f64 2 x))) (+.f64 -1/2 (*.f64 x 1/2)))

rewrite121.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1660×	`associate-*r/`
1252×	`associate-*l/`
352×	`associate-/r*`
304×	`add-sqr-sqrt`
290×	`*-un-lft-identity`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	65
1	294	61
2	3893	61

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

simplify87.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1188×	`associate-/r*`
664×	`associate-/l/`
646×	`associate-/r/`
556×	`+-commutative`
554×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	361	4579
1	990	4345
2	4159	4267

Stop Event

1×	node limit

Counts

157 → 226

Calls

Call 1

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

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

localize52.0ms (1.5%)

Local Accuracy

Found 3 expressions with local accuracy:

New	Accuracy	Program
✓	100.0%	(sqrt.f64 (exp.f64 (+.f64 1 x)))
✓	100.0%	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1)) 2)
✓	100.0%	(exp.f64 (+.f64 1 x))

Compiler

Compiled 39 to 30 computations (23.1% saved)

series1.0ms (0%)

Counts

3 → 24

Calls

9 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	(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	@	0	(exp.f64 (+.f64 1 x))
0.0ms	x	@	-inf	(exp.f64 (+.f64 1 x))

rewrite80.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	259	49
2	3227	49

Stop Event

1×	node limit

Counts

3 → 121

Calls

Call 1

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

Outputs

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

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

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

simplify372.0ms (10.6%)

Algorithm

1×	egg-herbie

Rules

1342×	`associate-/r/`
922×	`distribute-lft-in`
912×	`distribute-rgt-in`
534×	`times-frac`
526×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	337	6335
1	793	5769
2	3326	5111

Stop Event

1×	node limit

Counts

145 → 210

Calls

Call 1

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

eval331.0ms (9.4%)

Compiler: Compiled 10136 to 7774 computations (23.3% saved)

prune73.0ms (2.1%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	435	1	436
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	436	6	442

Accurracy

100.0%

Counts

442 → 6

Alt Table

Click to see full alt table

Status	Accuracy	Program
	100.0%	(pow.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 x 1/2))) (-.f64 x 1)) 2)
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x (+.f64 2 x))) (+.f64 -1/2 (*.f64 x 1/2)))
✓	100.0%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	99.0%	(exp.f64 -1)

Compiler

Compiled 53 to 42 computations (20.8% saved)

regimes19.0ms (0.5%)

Counts

9 → 1

Calls

Call 1

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

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

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
100.0%	1	`(-.f64 1 (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 112 to 83 computations (25.9% saved)

regimes15.0ms (0.4%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
4.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(-.f64 1 (*.f64 x x))

Results

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
100.0%	1	`(-.f64 1 (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 63 to 44 computations (30.2% saved)

regimes13.0ms (0.4%)

Accuracy

Total -0.7b remaining (-4309.8%)

Threshold costs -0.7b (-4309.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

5 calls:

3.0ms	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

Accuracy	Segments	Branch
100.0%	1	`x`
100.0%	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
100.0%	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
100.0%	1	`(-.f64 1 (*.f64 x x))`
100.0%	1	`(*.f64 x x)`

Compiler

Compiled 51 to 35 computations (31.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
4×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	78
1	27	78

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 31 to 24 computations (22.6% saved)

soundness120.0ms (3.4%)

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)

end68.0ms (1.9%)

Compiler: Compiled 28 to 21 computations (25% saved)

Details

analyze21.0ms (0.6%)

sample924.0ms (26.4%)

preprocess62.0ms (1.8%)

simplify55.0ms (1.6%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite86.0ms (2.4%)

simplify68.0ms (1.9%)

eval10.0ms (0.3%)

prune40.0ms (1.1%)

localize3.0ms (0.1%)

localize9.0ms (0.3%)

series1.0ms (0%)

rewrite92.0ms (2.6%)

simplify74.0ms (2.1%)

localize41.0ms (1.2%)

series2.0ms (0%)

rewrite73.0ms (2.1%)

simplify61.0ms (1.8%)

eval67.0ms (1.9%)

prune64.0ms (1.8%)

localize25.0ms (0.7%)

series4.0ms (0.1%)

rewrite67.0ms (1.9%)

simplify58.0ms (1.6%)

eval163.0ms (4.7%)

prune31.0ms (0.9%)

localize36.0ms (1%)

series3.0ms (0.1%)

rewrite121.0ms (3.4%)

simplify87.0ms (2.5%)

localize52.0ms (1.5%)

series1.0ms (0%)

rewrite80.0ms (2.3%)

simplify372.0ms (10.6%)

eval331.0ms (9.4%)

prune73.0ms (2.1%)

regimes19.0ms (0.5%)

regimes15.0ms (0.4%)

regimes13.0ms (0.4%)

simplify5.0ms (0.1%)

soundness120.0ms (3.4%)

end68.0ms (1.9%)

Profiling