Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample989.0ms (20.3%)

Results

947.0ms	8256×	body	256	valid
1.0ms	11×	body	256	infinite

Bogosity

preprocess47.0ms (1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 25 to 15 computations (40% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	3	1	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	4	1	5

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite78.0ms (1.6%)

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))))))))

simplify57.0ms (1.2%)

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))

eval11.0ms (0.2%)

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

prune8.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	5	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	6	41

Error

0.0b

Counts

41 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.7b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	1.0b	(exp.f64 -1)

Compiler

Compiled 79 to 61 computations (22.8% saved)

localize11.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite47.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1082×	`add-sqr-sqrt`
1068×	`*-un-lft-identity`
1006×	`pow1`
990×	`add-cube-cbrt`
978×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	118	11
2	1386	11

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(pow.f64 (exp.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 log1p.f64 (expm1.f64 (pow.f64 (exp.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 log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))))))

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1426×	`associate-*r/`
1176×	`fma-def`
1002×	`distribute-lft-in`
832×	`distribute-rgt-in`
640×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	57	383
1	120	371
2	324	363
3	990	363
4	2709	363

Stop Event

1×	node limit

Counts

27 → 32

Calls

Call 1

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

localize3.0ms (0.1%)

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

localize10.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 22 to 13 computations (40.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1762×	`add-sqr-sqrt`
1740×	`*-un-lft-identity`
1616×	`add-cube-cbrt`
1598×	`add-cbrt-cube`
186×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	19
1	198	19
2	2290	19

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1566×	`fma-def`
988×	`+-commutative`
962×	`associate-*r/`
846×	`associate-r`
742×	`associate-l`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	72	727
1	168	727
2	471	727
3	2535	693
4	5995	689

Stop Event

1×	node limit

Counts

33 → 38

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

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

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0%)

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))

rewrite65.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (1.2%)

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))

localize69.0ms (1.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (E.f64) (fma.f64 x x -1))

Compiler

Compiled 14 to 8 computations (42.9% saved)

series1.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

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

Stop Event

1×	node limit

Counts

22 → 38

Calls

Call 1

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

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

eval93.0ms (1.9%)

Compiler: Compiled 2553 to 1824 computations (28.6% saved)

prune25.0ms (0.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	200	3	203
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	201	8	209

Error

Counts

209 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.7b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
▶	0.0b	(.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))))
▶	2.0b	(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.0b	(exp.f64 -1)

Compiler

Compiled 94 to 72 computations (23.4% saved)

localize30.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (exp.f64 2) (fma.f64 x x -1))
✓	0.0b	(exp.f64 (fma.f64 x x -1))
✓	1.0b	(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
✓	1.0b	(cbrt.f64 (exp.f64 (fma.f64 x x -1)))

Compiler

Compiled 51 to 36 computations (29.4% saved)

series10.0ms (0.2%)

Counts

4 → 40

Calls

12 calls:

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

rewrite126.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

906×	`*-commutative`
822×	`sqrt-prod`
656×	`unswap-sqr`
540×	`swap-sqr`
458×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	72
1	246	72
2	2682	68

Stop Event

1×	node limit

Counts

4 → 160

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (sqrt.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/12) (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/4) (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))))) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))) 1) (+.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 2) (/.f64 (.f64 (fma.f64 x x -1) 1/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.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))) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 4) 1/12)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (fma.f64 x x -1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)) (.f64 (pow.f64 1 1/6) (pow.f64 1 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6) (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 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (exp.f64 (fma.f64 x x -1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))) (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))) (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))) (sqrt.f64 (.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3)) (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 4) (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 2/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))))) (cbrt.f64 (exp.f64 (.f64 (fma.f64 x x -1) 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simplify113.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

856×	`times-frac`
790×	`associate-r`
670×	`associate-/l*`
624×	`associate-l`
528×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	398	4294973720
1	957	6070
2	3911	5966

Stop Event

1×	node limit

Counts

200 → 266

Calls

Call 1

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

Outputs
(pow.f64 (exp.f64 -1) 1/3)
(cbrt.f64 (exp.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 1/3))
(fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (cbrt.f64 (exp.f64 -1)))
(.f64 (+.f64 (.f64 1/3 (*.f64 x x)) 1) (cbrt.f64 (exp.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3)))
(fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/6) (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))))) (cbrt.f64 (exp.f64 -1))))
(fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/6) (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (exp.f64 -2))))) (cbrt.f64 (exp.f64 -1))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 x x)) 1) (cbrt.f64 (exp.f64 -1))) (.f64 (.f64 (exp.f64 -1) 1/6) (.f64 (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (exp.f64 -2)))) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3))))
(fma.f64 1/3 (.f64 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))) (-.f64 (.f64 (exp.f64 -1) 1/6) (fma.f64 1/27 (exp.f64 -1) (.f64 (.f64 (exp.f64 -1) 1/6) 2/3)))) (pow.f64 x 6)) (fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/6) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))))) (cbrt.f64 (exp.f64 -1)))))
(fma.f64 1/3 (.f64 (-.f64 (.f64 (exp.f64 -1) 7/54) (.f64 (exp.f64 -1) 1/9)) (.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 1 (exp.f64 -2))))) (fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/6) (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (exp.f64 -2))))) (cbrt.f64 (exp.f64 -1)))))
(fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/54) (.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 1 (exp.f64 -2))))) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 x x)) 1) (cbrt.f64 (exp.f64 -1))) (.f64 (.f64 (exp.f64 -1) 1/6) (.f64 (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (exp.f64 -2)))) 1/3))))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (fma.f64 x x -1)) 1/3)
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 -2) 1/3)
(cbrt.f64 (exp.f64 -2))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (*.f64 (exp.f64 -2) 1) 1/3) (pow.f64 x 2))) (pow.f64 (exp.f64 -2) 1/3))
(fma.f64 2/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -2))) (cbrt.f64 (exp.f64 -2)))
(fma.f64 (.f64 2/3 (cbrt.f64 (exp.f64 -2))) (.f64 x x) (cbrt.f64 (exp.f64 -2)))
(.f64 (+.f64 (.f64 2/3 (*.f64 x x)) 1) (cbrt.f64 (exp.f64 -2)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (exp.f64 -2) 1) 1/3) (pow.f64 x 2))) (+.f64 (pow.f64 (exp.f64 -2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -2) 2)) 1/3) (.f64 (-.f64 (.f64 2 (exp.f64 -2)) (.f64 4/3 (exp.f64 -2))) (pow.f64 x 4))))))
(+.f64 (fma.f64 2/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -2))) (cbrt.f64 (exp.f64 -2))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -2) 2)))) (.f64 (pow.f64 x 4) (.f64 (exp.f64 -2) 2/3))))
(fma.f64 2/3 (.f64 x (.f64 x (cbrt.f64 (exp.f64 -2)))) (fma.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (exp.f64 -4)))) (.f64 (pow.f64 x 4) (*.f64 2/3 (exp.f64 -2))) (cbrt.f64 (exp.f64 -2))))
(+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 x x)) 1) (cbrt.f64 (exp.f64 -2))) (.f64 (cbrt.f64 (/.f64 1 (exp.f64 -4))) (.f64 (.f64 (*.f64 (pow.f64 x 4) (exp.f64 -2)) 2/3) 1/3)))
(+.f64 (.f64 2/3 (.f64 (pow.f64 (.f64 (exp.f64 -2) 1) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -2) 2)) 1/3) (.f64 (-.f64 (.f64 4/3 (exp.f64 -2)) (+.f64 (.f64 4/3 (-.f64 (.f64 2 (exp.f64 -2)) (.f64 4/3 (exp.f64 -2)))) (.f64 8/27 (exp.f64 -2)))) (pow.f64 x 6)))) (+.f64 (pow.f64 (exp.f64 -2) 1/3) (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -2) 2)) 1/3) (.f64 (-.f64 (.f64 2 (exp.f64 -2)) (.f64 4/3 (exp.f64 -2))) (pow.f64 x 4)))))))
(fma.f64 2/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -2))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -2) 2))) (.f64 (pow.f64 x 6) (-.f64 (.f64 (exp.f64 -2) 4/3) (fma.f64 4/3 (.f64 (exp.f64 -2) 2/3) (.f64 (exp.f64 -2) 8/27))))) (+.f64 (cbrt.f64 (exp.f64 -2)) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -2) 2)))) (.f64 (pow.f64 x 4) (*.f64 (exp.f64 -2) 2/3))))))
(fma.f64 2/3 (.f64 x (.f64 x (cbrt.f64 (exp.f64 -2)))) (fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (exp.f64 -4))) (.f64 (pow.f64 x 6) (-.f64 (.f64 (exp.f64 -2) 4/3) (fma.f64 (exp.f64 -2) 8/27 (.f64 (exp.f64 -2) 8/9))))) (fma.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (exp.f64 -4)))) (.f64 (pow.f64 x 4) (*.f64 2/3 (exp.f64 -2))) (cbrt.f64 (exp.f64 -2)))))
(+.f64 (.f64 (+.f64 (.f64 2/3 (.f64 x x)) 1) (cbrt.f64 (exp.f64 -2))) (.f64 (.f64 1/3 (cbrt.f64 (/.f64 1 (exp.f64 -4)))) (+.f64 (.f64 (.f64 (pow.f64 x 4) (exp.f64 -2)) 2/3) (.f64 (pow.f64 x 6) (+.f64 (.f64 (exp.f64 -2) 4/9) (.f64 (exp.f64 -2) -8/27))))))
(pow.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(pow.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(pow.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(pow.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(pow.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(pow.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(pow.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(pow.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))) 1/3)
(cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(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) (+.f64 1 (.f64 x x)))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 (*.f64 (exp.f64 -1) 1/2) (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 (+.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 (.f64 (exp.f64 -1) 1/2) (pow.f64 x 4))))
(fma.f64 (.f64 (exp.f64 -1) 1/6) (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 (.f64 (exp.f64 -1) 1/6) (pow.f64 x 6) (.f64 (exp.f64 -1) (+.f64 (+.f64 1 (.f64 x x)) (.f64 1/2 (pow.f64 x 4)))))
(exp.f64 -2)
(+.f64 (exp.f64 -2) (.f64 2 (.f64 (exp.f64 -2) (pow.f64 x 2))))
(+.f64 (exp.f64 -2) (.f64 2 (.f64 (*.f64 x x) (exp.f64 -2))))
(fma.f64 2 (.f64 (.f64 x x) (exp.f64 -2)) (exp.f64 -2))
(.f64 (exp.f64 -2) (+.f64 1 (.f64 x (+.f64 x x))))
(+.f64 (exp.f64 -2) (+.f64 (.f64 2 (.f64 (exp.f64 -2) (pow.f64 x 2))) (.f64 2 (.f64 (exp.f64 -2) (pow.f64 x 4)))))
(+.f64 (exp.f64 -2) (.f64 2 (+.f64 (.f64 (.f64 x x) (exp.f64 -2)) (.f64 (pow.f64 x 4) (exp.f64 -2)))))
(fma.f64 2 (.f64 (exp.f64 -2) (+.f64 (.f64 x x) (pow.f64 x 4))) (exp.f64 -2))
(+.f64 (exp.f64 -2) (+.f64 (.f64 2 (.f64 (exp.f64 -2) (pow.f64 x 2))) (+.f64 (.f64 4/3 (.f64 (exp.f64 -2) (pow.f64 x 6))) (.f64 2 (.f64 (exp.f64 -2) (pow.f64 x 4))))))
(+.f64 (exp.f64 -2) (fma.f64 2 (.f64 (.f64 x x) (exp.f64 -2)) (fma.f64 4/3 (.f64 (pow.f64 x 6) (exp.f64 -2)) (.f64 2 (*.f64 (pow.f64 x 4) (exp.f64 -2))))))
(+.f64 (fma.f64 2 (.f64 (exp.f64 -2) (+.f64 (.f64 x x) (pow.f64 x 4))) (exp.f64 -2)) (.f64 (exp.f64 -2) (.f64 4/3 (pow.f64 x 6))))
(exp.f64 (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(exp.f64 (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(exp.f64 (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(exp.f64 (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(exp.f64 (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(exp.f64 (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(exp.f64 (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(exp.f64 (*.f64 2 (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
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(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 4)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (exp.f64 4)) (fma.f64 x x -1)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 4)) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 x x -1)))
(.f64 (.f64 (exp.f64 (.f64 x x)) (exp.f64 (.f64 x x))) (pow.f64 (exp.f64 -1) 2))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(.f64 (sqrt.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 4))))
(.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))
(*.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 10)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))) 1) (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) 1))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))) (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))) (+.f64 1 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) (exp.f64 (*.f64 2 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))))))
(/.f64 (+.f64 -1 (exp.f64 (.f64 3 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))))) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))) (exp.f64 (.f64 2 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))))))
(sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 4))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(fabs.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(log.f64 (exp.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1)))))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(exp.f64 (*.f64 (fma.f64 x x -1) 2))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))))
(pow.f64 (exp.f64 2) (fma.f64 x x -1))

localize49.0ms (1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 66 computations (30.5% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite115.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`associate-*r/`
736×	`distribute-rgt-in`
708×	`distribute-lft-in`
546×	`associate-*l/`
344×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	138
1	347	68
2	4362	68

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify117.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1144×	`fma-def`
858×	`associate--r+`
690×	`*-commutative`
654×	`associate-+l-`
650×	`distribute-lft-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	274	5058
1	750	3088
2	2294	2848
3	6277	2836

Stop Event

1×	node limit

Counts

130 → 183

Calls

Call 1

Inputs
(/.f64 1 (E.f64))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (*.f64 (log.f64 (E.f64)) x) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (+.f64 (/.f64 (.f64 (log.f64 (E.f64)) x) (E.f64)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (E.f64)))))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64)))) (pow.f64 x 3)) (+.f64 (/.f64 1 (E.f64)) (+.f64 (/.f64 (.f64 (log.f64 (E.f64)) x) (E.f64)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (E.f64))))))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2)
(sqrt.f64 (/.f64 1 (E.f64)))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (E.f64))) (*.f64 (log.f64 (E.f64)) x))) (sqrt.f64 (/.f64 1 (E.f64))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (E.f64))) (.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (E.f64))) (.f64 (log.f64 (E.f64)) x))) (sqrt.f64 (/.f64 1 (E.f64)))))
(+.f64 (.f64 1/8 (.f64 (sqrt.f64 (/.f64 1 (E.f64))) (.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)))) (+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (E.f64))) (.f64 (log.f64 (E.f64)) x))) (+.f64 (.f64 1/48 (.f64 (sqrt.f64 (/.f64 1 (E.f64))) (*.f64 (pow.f64 (log.f64 (E.f64)) 3) (pow.f64 x 3)))) (sqrt.f64 (/.f64 1 (E.f64))))))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64)))))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64)))))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64)))))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64)))))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64)))))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64)))))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64)))))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64)))))
(/.f64 1 (E.f64))
(+.f64 (*.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (/.f64 1 (E.f64)))
(+.f64 (.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (+.f64 (/.f64 1 (E.f64)) (.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (E.f64)) (E.f64))) (+.f64 (.f64 3/2 (/.f64 1 (E.f64))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64))))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (+.f64 (/.f64 1 (E.f64)) (+.f64 (.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (E.f64)) (E.f64))) (+.f64 (.f64 3/2 (/.f64 1 (E.f64))) (.f64 1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64))))) (pow.f64 x 2)) (.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64))) (+.f64 (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64))) (.f64 3/2 (/.f64 (log.f64 (E.f64)) (E.f64)))))) (*.f64 7/6 (/.f64 1 (E.f64)))) (pow.f64 x 3)))))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 3/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 3/2 (pow.f64 x 2)) (*.f64 -7/6 (pow.f64 x 3)))))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x -1)))) 1)
(pow.f64 (E.f64) (+.f64 x -1))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) 2)
(pow.f64 (exp.f64 (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) 1/3)
(pow.f64 (exp.f64 2) (+.f64 (*.f64 1/2 x) -1/2))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 2) 1/2) (+.f64 x -1))
(pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 (+.f64 (.f64 1/2 x) -1/2))) (sqrt.f64 (+.f64 (.f64 1/2 x) -1/2)))
(pow.f64 (pow.f64 (exp.f64 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 1/2 x) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 1/2 x) -1/2)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.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))))
(exp.f64 (+.f64 x -1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))))) 1)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 1/4) (pow.f64 (exp.f64 (+.f64 x -1)) 1/4))
(*.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 x -1)))) (cbrt.f64 (exp.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))))
(.f64 (pow.f64 1 (+.f64 (.f64 1/2 x) -1/2)) (sqrt.f64 (exp.f64 (+.f64 x -1))))
(.f64 (pow.f64 (sqrt.f64 (E.f64)) (+.f64 (.f64 1/2 x) -1/2)) (pow.f64 (sqrt.f64 (E.f64)) (+.f64 (*.f64 1/2 x) -1/2)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (+.f64 (.f64 1/2 x) -1/2)) (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (*.f64 1/2 x) -1/2)))
(sqrt.f64 (exp.f64 (+.f64 x -1)))
(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 (sqrt.f64 (exp.f64 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(exp.f64 (+.f64 (*.f64 1/2 x) -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)))) 1)
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)) 1)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)) 3) 1/3)
(pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1))
(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))
(pow.f64 (.f64 (exp.f64 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (.f64 1/2 x) -1/2))
(pow.f64 (.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 2)) (+.f64 (.f64 1/2 x) -1/2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) (pow.f64 (exp.f64 (+.f64 x -1)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))))
(exp.f64 (+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (+.f64 x (+.f64 -1 (.f64 x (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))) 1)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 2)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -2 (+.f64 x x))) 1/2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (*.f64 1/2 x) -1/2))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 1/2) (+.f64 x -1))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (+.f64 (.f64 1/2 x) -1/2))) (sqrt.f64 (+.f64 (.f64 1/2 x) -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 1/2 x) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 1/2 x) -1/2)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 x -1)))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -2 (+.f64 x x))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(exp.f64 (*.f64 x (+.f64 x -1)))
(exp.f64 (.f64 (.f64 x (+.f64 (*.f64 1/2 x) -1/2)) 2))
(exp.f64 (.f64 (.f64 x (+.f64 x -1)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 (.f64 1/2 x) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))

Outputs
(/.f64 1 (E.f64))
(exp.f64 -1)
(+.f64 (/.f64 1 (E.f64)) (/.f64 (*.f64 (log.f64 (E.f64)) x) (E.f64)))
(+.f64 (/.f64 1 (E.f64)) (/.f64 (*.f64 1 x) (E.f64)))
(+.f64 (exp.f64 -1) (/.f64 x (E.f64)))
(fma.f64 (exp.f64 -1) x (exp.f64 -1))
(+.f64 (/.f64 1 (E.f64)) (+.f64 (/.f64 (.f64 (log.f64 (E.f64)) x) (E.f64)) (.f64 1/2 (/.f64 (*.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (E.f64)))))
(+.f64 (/.f64 1 (E.f64)) (+.f64 (/.f64 (.f64 1 x) (E.f64)) (.f64 1/2 (/.f64 1 (/.f64 (E.f64) (*.f64 x x))))))
(+.f64 (exp.f64 -1) (fma.f64 1/2 (/.f64 (*.f64 x x) (E.f64)) (/.f64 x (E.f64))))
(fma.f64 (exp.f64 -1) x (fma.f64 1/2 (/.f64 x (/.f64 (E.f64) x)) (exp.f64 -1)))
(+.f64 (.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64))) (.f64 1/24 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64)))) (pow.f64 x 3)) (+.f64 (/.f64 1 (E.f64)) (+.f64 (/.f64 (.f64 (log.f64 (E.f64)) x) (E.f64)) (.f64 1/2 (/.f64 (.f64 (pow.f64 (log.f64 (E.f64)) 2) (pow.f64 x 2)) (E.f64))))))
(fma.f64 (.f64 (/.f64 1 (E.f64)) 1/6) (pow.f64 x 3) (+.f64 (/.f64 1 (E.f64)) (+.f64 (/.f64 (.f64 1 x) (E.f64)) (.f64 1/2 (/.f64 1 (/.f64 (E.f64) (.f64 x x)))))))
(+.f64 (fma.f64 1/2 (/.f64 (*.f64 x x) (E.f64)) (/.f64 x (E.f64))) (fma.f64 (/.f64 1/6 (E.f64)) (pow.f64 x 3) (exp.f64 -1)))
(fma.f64 (/.f64 1/6 (E.f64)) (pow.f64 x 3) (fma.f64 (exp.f64 -1) x (fma.f64 1/2 (/.f64 x (/.f64 (E.f64) x)) (exp.f64 -1))))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1))) 2)
(exp.f64 (+.f64 x -1))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1))) 2)
(exp.f64 (+.f64 x -1))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1))) 2)
(exp.f64 (+.f64 x -1))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1))) 2)
(exp.f64 (+.f64 x -1))
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2)
(pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 1 (+.f64 1 (neg.f64 x)))) 2)
(pow.f64 (exp.f64 -1/2) (*.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (-.f64 1 x) -1))
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2)
(pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 1 (+.f64 1 (neg.f64 x)))) 2)
(pow.f64 (exp.f64 -1/2) (*.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (-.f64 1 x) -1))
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2)
(pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 1 (+.f64 1 (neg.f64 x)))) 2)
(pow.f64 (exp.f64 -1/2) (*.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (-.f64 1 x) -1))
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2)
(pow.f64 (pow.f64 (exp.f64 -1/2) (*.f64 1 (+.f64 1 (neg.f64 x)))) 2)
(pow.f64 (exp.f64 -1/2) (*.f64 2 (-.f64 1 x)))
(exp.f64 (*.f64 (-.f64 1 x) -1))
(sqrt.f64 (/.f64 1 (E.f64)))
(sqrt.f64 (exp.f64 -1))
(+.f64 (.f64 1/2 (.f64 (sqrt.f64 (/.f64 1 (E.f64))) (*.f64 (log.f64 (E.f64)) x))) (sqrt.f64 (/.f64 1 (E.f64))))
(fma.f64 1/2 (.f64 (.f64 1 x) (sqrt.f64 (/.f64 1 (E.f64)))) (sqrt.f64 (/.f64 1 (E.f64))))
(fma.f64 1/2 (*.f64 x (sqrt.f64 (exp.f64 -1))) (sqrt.f64 (exp.f64 -1)))
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1
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(*.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) 1)
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(*.f64 1 (sqrt.f64 (exp.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(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))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 -1/2))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (+.f64 x -1))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) (cbrt.f64 (exp.f64 (fma.f64 x 1/2 -1/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))))
(.f64 (pow.f64 1 (+.f64 (.f64 1/2 x) -1/2)) (sqrt.f64 (exp.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(.f64 (pow.f64 (sqrt.f64 (E.f64)) (+.f64 (.f64 1/2 x) -1/2)) (pow.f64 (sqrt.f64 (E.f64)) (+.f64 (*.f64 1/2 x) -1/2)))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 1/2 x -1/2)))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x 1/2 -1/2)))
(pow.f64 (sqrt.f64 (E.f64)) (+.f64 x -1))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (+.f64 (.f64 1/2 x) -1/2)) (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (*.f64 1/2 x) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 1/2 x -1/2)) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 1/2 x -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 x 1/2 -1/2)) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x 1/2 -1/2)))
(sqrt.f64 (exp.f64 (+.f64 x -1)))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(fabs.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))))))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) 3))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(exp.f64 (+.f64 (*.f64 1/2 x) -1/2))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (*.f64 1 (+.f64 x -1)))
(exp.f64 (fma.f64 x 1/2 -1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)))) 1)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)) 1)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))) 2)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))) 3)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)) 3) 1/3)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (.f64 (exp.f64 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (.f64 1/2 x) -1/2))
(pow.f64 (*.f64 (exp.f64 2) (pow.f64 (exp.f64 x) 2)) (fma.f64 1/2 x -1/2))
(pow.f64 (*.f64 (exp.f64 2) (pow.f64 (exp.f64 x) 2)) (fma.f64 x 1/2 -1/2))
(pow.f64 (pow.f64 (exp.f64 2) (+.f64 1 x)) (fma.f64 x 1/2 -1/2))
(pow.f64 (.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 2)) (+.f64 (.f64 1/2 x) -1/2))
(pow.f64 (*.f64 (exp.f64 2) (pow.f64 (exp.f64 x) 2)) (fma.f64 1/2 x -1/2))
(pow.f64 (*.f64 (exp.f64 2) (pow.f64 (exp.f64 x) 2)) (fma.f64 x 1/2 -1/2))
(pow.f64 (pow.f64 (exp.f64 2) (+.f64 1 x)) (fma.f64 x 1/2 -1/2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(log.f64 (exp.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1)) 3))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) (pow.f64 (exp.f64 (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(exp.f64 (+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(exp.f64 (.f64 (+.f64 x (+.f64 -1 (.f64 x (+.f64 x -1)))) 1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 1 (+.f64 x -1))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))) 1)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 1)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -2 (+.f64 x x))) 1/2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (*.f64 1/2 x) -1/2))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 1/2) (+.f64 x -1))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (+.f64 (.f64 1/2 x) -1/2))) (sqrt.f64 (+.f64 (.f64 1/2 x) -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (fma.f64 1/2 x -1/2))) (sqrt.f64 (fma.f64 1/2 x -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (fma.f64 x 1/2 -1/2))) (sqrt.f64 (fma.f64 x 1/2 -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (sqrt.f64 (fma.f64 x 1/2 -1/2))) (sqrt.f64 (fma.f64 x 1/2 -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 1/2 x) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 1/2 x) -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 1/2 x -1/2)) 2)) (cbrt.f64 (fma.f64 1/2 x -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1/2)) 2)) (cbrt.f64 (fma.f64 x 1/2 -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 2) x) (pow.f64 (cbrt.f64 (fma.f64 x 1/2 -1/2)) 2)) (cbrt.f64 (fma.f64 x 1/2 -1/2)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 x -1)))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -2 (+.f64 x x))))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(exp.f64 (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(exp.f64 (.f64 (.f64 x (+.f64 (*.f64 1/2 x) -1/2)) 2))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(exp.f64 (.f64 (.f64 x (+.f64 x -1)) 1))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 (.f64 1/2 x) -1/2)))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1))) 2)
(pow.f64 (exp.f64 x) (+.f64 x -1))

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	0.0b	(expm1.f64 (fma.f64 x x -1))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(expm1.f64 (fma.f64 x x -1))
0.0ms	x	@	inf	(expm1.f64 (fma.f64 x x -1))
0.0ms	x	@	0	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
0.0ms	x	@	-inf	(expm1.f64 (fma.f64 x x -1))
0.0ms	x	@	inf	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

rewrite61.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`add-sqr-sqrt`
1766×	`*-un-lft-identity`
1636×	`add-cube-cbrt`
1620×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	194	26
2	2221	26

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

Inputs
(expm1.f64 (fma.f64 x x -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

Outputs

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

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

simplify77.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1106×	`fma-def`
872×	`+-commutative`
704×	`unswap-sqr`
678×	`associate-/l*`
614×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	142	1969
1	310	1915
2	1389	1845
3	7963	1845

Stop Event

1×	node limit

Counts

81 → 97

Calls

Call 1

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

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

eval378.0ms (7.7%)

Compiler: Compiled 15267 to 11502 computations (24.7% saved)

prune123.0ms (2.5%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	589	3	592
Fresh	0	0	0
Picked	0	1	1
Done	3	4	7
Total	592	8	600

Error

Counts

600 → 8

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
✓	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
▶	0.1b	(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (.f64 (pow.f64 (E.f64) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (E.f64) (*.f64 (+.f64 x -1) 1/2))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.7b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.0b	(exp.f64 (+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))
✓	1.0b	(exp.f64 -1)

Compiler

Compiled 82 to 64 computations (22% saved)

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 37 to 25 computations (32.4% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite110.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1594×	`associate-*r/`
1164×	`associate-*l/`
1154×	`distribute-lft-in`
1104×	`*-commutative`
296×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	67
1	226	55
2	3128	35

Stop Event

1×	node limit

Counts

3 → 189

Calls

Call 1

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

Outputs

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

simplify147.0ms (3%)

Algorithm

1×	egg-herbie

Rules

1216×	`associate-+r-`
1036×	`+-commutative`
738×	`associate-/l*`
660×	`associate-r`
590×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	490	8207
1	1411	7655
2	6922	7655

Stop Event

1×	node limit

Counts

225 → 319

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

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

localize65.0ms (1.3%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 87 to 66 computations (24.1% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite80.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1084×	`associate-*r/`
888×	`associate-*l/`
384×	`add-sqr-sqrt`
372×	`*-un-lft-identity`
364×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	84
1	390	50
2	4833	50

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

Inputs

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

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

Outputs

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

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

simplify91.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate-r`
1150×	`associate-l`
858×	`+-commutative`
752×	`associate--r+`
634×	`associate-+l-`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	175	2675
1	470	2389
2	1384	1439
3	6120	1427

Stop Event

1×	node limit

Counts

61 → 82

Calls

Call 1

Inputs
1
(+.f64 (*.f64 -1/2 x) 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 5/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 5/8 (pow.f64 x 2)) (*.f64 -13/48 (pow.f64 x 3)))))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x)))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x)))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x)))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x)))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x)))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x)))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x)))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x)))
(/.f64 1 (E.f64))
(+.f64 (*.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (/.f64 1 (E.f64)))
(+.f64 (.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (+.f64 (/.f64 1 (E.f64)) (.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (E.f64)) (E.f64))) (+.f64 (.f64 3/2 (/.f64 1 (E.f64))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64))))) (pow.f64 x 2))))
(+.f64 (.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (+.f64 (/.f64 1 (E.f64)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64))) (+.f64 (.f64 3/2 (/.f64 (log.f64 (E.f64)) (E.f64))) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64)))))) (.f64 7/6 (/.f64 1 (E.f64)))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (E.f64)) (E.f64))) (+.f64 (.f64 3/2 (/.f64 1 (E.f64))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64))))) (pow.f64 x 2)))))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))) 1)
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x) 1)
(*.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))
(*.f64 (exp.f64 (/.f64 (fma.f64 x x (neg.f64 x)) 4)) (exp.f64 (/.f64 (fma.f64 x x (neg.f64 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))))
(.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)) (pow.f64 (exp.f64 1/2) (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) x) (pow.f64 (pow.f64 (exp.f64 1/2) x) -1))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) -1) (pow.f64 (pow.f64 (exp.f64 1/2) x) x))
(*.f64 (pow.f64 1 (fma.f64 x x (neg.f64 x))) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 1/2)) (fma.f64 x x (neg.f64 x))) (pow.f64 (sqrt.f64 (exp.f64 1/2)) (fma.f64 x x (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x (neg.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (fma.f64 x x (neg.f64 x))))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(fabs.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))
(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))))
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(exp.f64 (*.f64 1/2 (fma.f64 x x (neg.f64 x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 1/2) x)) (+.f64 x -1)))
(log1p.f64 (expm1.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))))) 1)
(pow.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) (pow.f64 (exp.f64 (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))))
(exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))
(exp.f64 (*.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))))

Outputs
1
(+.f64 (*.f64 -1/2 x) 1)
(fma.f64 -1/2 x 1)
(+.f64 (.f64 -1/2 x) (+.f64 1 (.f64 5/8 (pow.f64 x 2))))
(fma.f64 -1/2 x (+.f64 1 (.f64 5/8 (.f64 x x))))
(fma.f64 -1/2 x (fma.f64 5/8 (*.f64 x x) 1))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 5/8) 1))
(+.f64 (.f64 -1/2 x) (+.f64 1 (+.f64 (.f64 5/8 (pow.f64 x 2)) (*.f64 -13/48 (pow.f64 x 3)))))
(+.f64 (fma.f64 -1/2 x 1) (fma.f64 5/8 (.f64 x x) (.f64 -13/48 (pow.f64 x 3))))
(fma.f64 -1/2 x (fma.f64 x (*.f64 x 5/8) (fma.f64 -13/48 (pow.f64 x 3) 1)))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(/.f64 1 (E.f64))
(exp.f64 -1)
(+.f64 (*.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (/.f64 1 (E.f64)))
(/.f64 1 (E.f64))
(exp.f64 -1)
(+.f64 (.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (+.f64 (/.f64 1 (E.f64)) (.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (E.f64)) (E.f64))) (+.f64 (.f64 3/2 (/.f64 1 (E.f64))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64))))) (pow.f64 x 2))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 (E.f64)) (/.f64 -1 (E.f64))) x (/.f64 1 (E.f64))) (.f64 (.f64 x x) (+.f64 (/.f64 -1 (E.f64)) (+.f64 (/.f64 3/2 (E.f64)) (/.f64 1/2 (E.f64))))))
(fma.f64 x 0 (fma.f64 (.f64 x x) (-.f64 (.f64 (exp.f64 -1) 2) (exp.f64 -1)) (exp.f64 -1)))
(fma.f64 x (/.f64 x (E.f64)) (+.f64 (exp.f64 -1) 0))
(fma.f64 x (/.f64 x (E.f64)) (exp.f64 -1))
(+.f64 (.f64 (-.f64 (/.f64 (log.f64 (E.f64)) (E.f64)) (/.f64 1 (E.f64))) x) (+.f64 (/.f64 1 (E.f64)) (+.f64 (.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64))) (+.f64 (.f64 1/24 (/.f64 (pow.f64 (log.f64 (E.f64)) 3) (E.f64))) (+.f64 (.f64 3/2 (/.f64 (log.f64 (E.f64)) (E.f64))) (.f64 -1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64)))))) (.f64 7/6 (/.f64 1 (E.f64)))) (pow.f64 x 3)) (.f64 (+.f64 (.f64 -1 (/.f64 (log.f64 (E.f64)) (E.f64))) (+.f64 (.f64 3/2 (/.f64 1 (E.f64))) (*.f64 1/2 (/.f64 (pow.f64 (log.f64 (E.f64)) 2) (E.f64))))) (pow.f64 x 2)))))
(+.f64 (fma.f64 (+.f64 (/.f64 1 (E.f64)) (/.f64 -1 (E.f64))) x (/.f64 1 (E.f64))) (fma.f64 (+.f64 (/.f64 1/8 (E.f64)) (-.f64 (+.f64 (/.f64 1/24 (E.f64)) (+.f64 (/.f64 3/2 (E.f64)) (/.f64 -1/2 (E.f64)))) (/.f64 7/6 (E.f64)))) (pow.f64 x 3) (.f64 (.f64 x x) (+.f64 (/.f64 -1 (E.f64)) (+.f64 (/.f64 3/2 (E.f64)) (/.f64 1/2 (E.f64)))))))
(+.f64 (fma.f64 x 0 (exp.f64 -1)) (fma.f64 (pow.f64 x 3) (+.f64 (+.f64 (.f64 (exp.f64 -1) 1) (.f64 (exp.f64 -1) 1/6)) (/.f64 -7/6 (E.f64))) (.f64 x (.f64 x (-.f64 (*.f64 (exp.f64 -1) 2) (exp.f64 -1))))))
(+.f64 (fma.f64 x (/.f64 x (E.f64)) (fma.f64 (pow.f64 x 3) (fma.f64 (exp.f64 -1) -7/6 (/.f64 7/6 (E.f64))) (exp.f64 -1))) 0)
(fma.f64 x (/.f64 x (E.f64)) (fma.f64 (pow.f64 x 3) (fma.f64 (exp.f64 -1) -7/6 (/.f64 7/6 (E.f64))) (exp.f64 -1)))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (*.f64 (-.f64 x 1) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) (log.f64 (E.f64))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))) 1)
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x) 1)
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(*.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(*.f64 (exp.f64 (/.f64 (fma.f64 x x (neg.f64 x)) 4)) (exp.f64 (/.f64 (fma.f64 x x (neg.f64 x)) 4)))
(exp.f64 (+.f64 (/.f64 (fma.f64 x x (neg.f64 x)) 4) (/.f64 (fma.f64 x x (neg.f64 x)) 4)))
(exp.f64 (.f64 2 (/.f64 (-.f64 (.f64 x x) x) 4)))
(pow.f64 (exp.f64 2) (/.f64 x (/.f64 4 (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))))
(*.f64 (fabs.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x)) (sqrt.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x -1)) x))))
(.f64 (pow.f64 (exp.f64 1/2) (.f64 x x)) (pow.f64 (exp.f64 1/2) (neg.f64 x)))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) x) (pow.f64 (pow.f64 (exp.f64 1/2) x) -1))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 1/2) x) -1) (pow.f64 (pow.f64 (exp.f64 1/2) x) x))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(*.f64 (pow.f64 1 (fma.f64 x x (neg.f64 x))) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 1/2)) (fma.f64 x x (neg.f64 x))) (pow.f64 (sqrt.f64 (exp.f64 1/2)) (fma.f64 x x (neg.f64 x))))
(pow.f64 (sqrt.f64 (exp.f64 1/2)) (*.f64 2 (fma.f64 x x (neg.f64 x))))
(pow.f64 (sqrt.f64 (exp.f64 1/2)) (.f64 2 (-.f64 (.f64 x x) x)))
(pow.f64 (sqrt.f64 (exp.f64 1/2)) (.f64 x (+.f64 -2 (.f64 x 2))))
(pow.f64 (sqrt.f64 (exp.f64 1/2)) (*.f64 x (+.f64 x (-.f64 x 2))))
(*.f64 (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x x (neg.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (fma.f64 x x (neg.f64 x))))
(.f64 (pow.f64 (cbrt.f64 (E.f64)) (-.f64 (.f64 x x) x)) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (-.f64 (*.f64 x x) x)))
(.f64 (pow.f64 (cbrt.f64 (E.f64)) (.f64 x (+.f64 x -1))) (pow.f64 (cbrt.f64 (exp.f64 1/2)) (*.f64 x (+.f64 x -1))))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(fabs.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x))))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x) 3))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(expm1.f64 (log1p.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (*.f64 1/2 (fma.f64 x x (neg.f64 x))))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(exp.f64 (*.f64 (log.f64 (pow.f64 (exp.f64 1/2) x)) (+.f64 x -1)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(log1p.f64 (expm1.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) x)))
(pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x)
(pow.f64 (exp.f64 x) (fma.f64 x 1/2 -1/2))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))))) 1)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(pow.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))) 1)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))) 2)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))) 3)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))) 3) 1/3)
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(log.f64 (exp.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x))))) 3))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) (pow.f64 (exp.f64 (+.f64 x -1)) 3)))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3)))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(exp.f64 (*.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))) 1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x (+.f64 -1 (fma.f64 x x (neg.f64 x)))))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (pow.f64 (exp.f64 (.f64 (.f64 1/2 (+.f64 x -1)) 1)) 2))
(*.f64 (pow.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) x) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 x -1)) 2))
(exp.f64 (*.f64 (+.f64 x -1) (+.f64 1 x)))

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite68.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

940×	`associate-*r/`
920×	`*-commutative`
736×	`unswap-sqr`
734×	`associate-*l/`
590×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	212	34
2	2656	24

Stop Event

1×	node limit

Counts

2 → 70

Calls

Call 1

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

Outputs

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

simplify81.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1422×	`associate-*r/`
1240×	`unswap-sqr`
1132×	`associate-*l/`
792×	`associate-+r+`
770×	`*-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	3106
1	525	2182
2	1823	2088
3	5258	2088

Stop Event

1×	node limit

Counts

94 → 123

Calls

Call 1

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

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

eval670.0ms (13.7%)

Compiler: Compiled 16303 to 11776 computations (27.8% saved)

prune182.0ms (3.7%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	662	3	665
Fresh	0	0	0
Picked	0	1	1
Done	2	5	7
Total	664	9	673

Error

Counts

673 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
	0.1b	(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (.f64 (pow.f64 (E.f64) (.f64 (+.f64 x -1) 1/2)) (exp.f64 (+.f64 (*.f64 1/2 x) -1/2))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.7b	(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
	0.0b	(exp.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1) (+.f64 1 (.f64 x x))))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))
	52.6b	(exp.f64 (*.f64 x x))
✓	1.0b	(exp.f64 -1)

Compiler

Compiled 95 to 70 computations (26.3% saved)

regimes24.0ms (0.5%)

Counts

16 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(exp.f64 (+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))
(exp.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1) (+.f64 1 (.f64 x x))))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (E.f64) (fma.f64 x x -1))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (.f64 (pow.f64 (E.f64) (.f64 (+.f64 x -1) 1/2)) (exp.f64 (+.f64 (*.f64 1/2 x) -1/2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 2) (fma.f64 x x -1))) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 x -1))) 2) (.f64 (pow.f64 (E.f64) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (E.f64) (*.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))))

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

Calls

5 calls:

9.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 216 to 149 computations (31% saved)

regimes18.0ms (0.4%)

Counts

11 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (*.f64 x x))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(exp.f64 (+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))
(exp.f64 (/.f64 (-.f64 (.f64 (.f64 x x) (.f64 x x)) 1) (+.f64 1 (.f64 x x))))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 1 x))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (E.f64) (fma.f64 x x -1))

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 110 to 70 computations (36.4% saved)

regimes15.0ms (0.3%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

4.0ms	x
3.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 65 to 42 computations (35.4% saved)

regimes7.0ms (0.1%)

Accuracy

Total -51.6b remaining (-5029.1%)

Threshold costs -51.6b (-5029.1%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(exp.f64 -1)

Calls

2 calls:

5.0ms	x
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`sub-neg`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	90
1	25	90
2	26	90

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 35 to 23 computations (34.3% saved)

soundness112.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 36 to 22 computations (38.9% saved)

end28.0ms (0.6%)

Compiler: Compiled 32 to 19 computations (40.6% saved)

Details

analyze3.0ms (0.1%)

sample989.0ms (20.3%)

preprocess47.0ms (1%)

simplify52.0ms (1.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite78.0ms (1.6%)

simplify57.0ms (1.2%)

eval11.0ms (0.2%)

prune8.0ms (0.2%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite47.0ms (1%)

simplify53.0ms (1.1%)

localize3.0ms (0.1%)

localize10.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.1%)

simplify60.0ms (1.2%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite65.0ms (1.3%)

simplify60.0ms (1.2%)

localize69.0ms (1.4%)

series1.0ms (0%)

rewrite60.0ms (1.2%)

simplify52.0ms (1.1%)

eval93.0ms (1.9%)

prune25.0ms (0.5%)

localize30.0ms (0.6%)

series10.0ms (0.2%)

rewrite126.0ms (2.6%)

simplify113.0ms (2.3%)

localize49.0ms (1%)

series5.0ms (0.1%)

rewrite115.0ms (2.4%)

simplify117.0ms (2.4%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite61.0ms (1.2%)

simplify77.0ms (1.6%)

eval378.0ms (7.7%)

prune123.0ms (2.5%)

localize14.0ms (0.3%)

series3.0ms (0.1%)

rewrite110.0ms (2.3%)

simplify147.0ms (3%)

localize65.0ms (1.3%)

series2.0ms (0%)

rewrite80.0ms (1.6%)

simplify91.0ms (1.9%)

localize11.0ms (0.2%)

series1.0ms (0%)

rewrite68.0ms (1.4%)

simplify81.0ms (1.7%)

eval670.0ms (13.7%)

prune182.0ms (3.7%)

regimes24.0ms (0.5%)

regimes18.0ms (0.4%)

regimes15.0ms (0.3%)

regimes7.0ms (0.1%)

simplify5.0ms (0.1%)

soundness112.0ms (2.3%)

end28.0ms (0.6%)

Profiling