Details

analyze4.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.8s (22.1%)

Results

1.8s	8256×	body	256	valid
2.0ms	14×	body	256	infinite

Bogosity

preprocess69.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify88.0ms (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)

prune2.0ms (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

100.0%

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize11.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite93.0ms (1.1%)

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))))))))

simplify129.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

34 → 40

Calls

Call 1

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

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

eval19.0ms (0.2%)

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

prune100.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

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

Error

100.0%

Counts

41 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	98.4%	(exp.f64 -1)
▶	99.9%	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize27.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(exp.f64 (fma.f64 x x -1))
✓	98.4%	(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
✓	97.6%	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))

Compiler

Compiled 28 to 19 computations (32.1% saved)

series5.0ms (0.1%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
1.0ms	x	@	inf	(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
1.0ms	x	@	-inf	(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
0.0ms	x	@	0	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
0.0ms	x	@	-inf	(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))

rewrite164.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1686×	`add-sqr-sqrt`
1654×	`*-un-lft-identity`
1550×	`add-cube-cbrt`
1534×	`add-cbrt-cube`
178×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	45
1	218	45
2	2163	45

Stop Event

1×	node limit

Counts

3 → 70

Calls

Call 1

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

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

simplify166.0ms (2%)

Algorithm

1×	egg-herbie

Rules

744×	`+-commutative`
726×	`fma-def`
546×	`*-commutative`
528×	`sqr-pow`
456×	`exp-prod`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	137	1830
1	321	1792
2	1324	1660
3	4018	1628
4	7460	1628

Stop Event

1×	node limit

Counts

90 → 80

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

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

localize6.0ms (0.1%)

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

localize21.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite138.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify110.0ms (1.3%)

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))

eval188.0ms (2.3%)

Compiler: Compiled 2508 to 1948 computations (22.3% saved)

prune45.0ms (0.6%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	172	3	175
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	173	6	179

Error

100.0%

Counts

179 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	99.9%	(*.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)))
▶	99.9%	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
▶	100.0%	(sqrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	98.4%	(exp.f64 -1)

Compiler

Compiled 56 to 44 computations (21.4% saved)

localize79.0ms (1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	100.0%	(sqrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))))
✓	100.0%	(exp.f64 (*.f64 2 (fma.f64 x x -1)))

Compiler

Compiled 29 to 20 computations (31% saved)

series3.0ms (0%)

Counts

2 → 8

Calls

6 calls:

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

rewrite117.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1830×	`add-sqr-sqrt`
1808×	`*-un-lft-identity`
1674×	`add-cube-cbrt`
1658×	`add-cbrt-cube`
196×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	42
1	212	42
2	2289	42

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

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

Outputs

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

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

simplify143.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

998×	`associate-+r+`
992×	`associate-+l+`
702×	`fma-def`
578×	`*-commutative`
546×	`+-commutative`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	2051
1	371	1671
2	1411	1575
3	3915	1563

Stop Event

1×	node limit

Counts

63 → 98

Calls

Call 1

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

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

localize13.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite150.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

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

Outputs

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

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

simplify104.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1002×	`fma-def`
900×	`unswap-sqr`
822×	`*-commutative`
674×	`associate-/l*`
670×	`sqr-pow`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	877
1	228	853
2	920	817
3	2669	807
4	5171	807

Stop Event

1×	node limit

Counts

57 → 63

Calls

Call 1

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

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

localize74.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 47 to 36 computations (23.4% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	0	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)))
1.0ms	x	@	-inf	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)))
1.0ms	x	@	0	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1))
1.0ms	x	@	inf	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)))
1.0ms	x	@	0	(sqrt.f64 (exp.f64 (+.f64 x 1)))

rewrite139.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 76

Calls

Call 1

Inputs

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

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

(sqrt.f64 (exp.f64 (+.f64 x 1)))

Outputs

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

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

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

simplify110.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

112 → 158

Calls

Call 1

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

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

eval639.0ms (7.8%)

Compiler: Compiled 11585 to 9042 computations (22% saved)

prune259.0ms (3.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	509	2	511
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	511	6	517

Error

100.0%

Counts

517 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	99.9%	(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1)) 2)
✓	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	99.9%	(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
✓	99.9%	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	98.4%	(exp.f64 -1)

Compiler

Compiled 49 to 39 computations (20.4% saved)

localize25.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	100.0%	(+.f64 1 (exp.f64 (fma.f64 x x -1)))
	100.0%	(exp.f64 (fma.f64 x x -1))
✓	99.9%	(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)

Compiler

Compiled 29 to 20 computations (31% saved)

series1.0ms (0%)

Counts

2 → 16

Calls

6 calls:

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

rewrite257.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

862×	`associate-*r/`
798×	`*-commutative`
676×	`associate-*l/`
614×	`distribute-lft-in`
586×	`unswap-sqr`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	226	32
2	2796	32

Stop Event

1×	node limit

Counts

2 → 177

Calls

Call 1

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

simplify231.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

946×	`+-commutative`
742×	`associate--r+`
624×	`associate-r`
542×	`associate-+l-`
542×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	466	11767
1	1310	11003
2	5773	11003

Stop Event

1×	node limit

Counts

193 → 286

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

localize33.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 30 computations (23.1% saved)

series2.0ms (0%)

Counts

4 → 32

Calls

12 calls:

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

rewrite245.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

4 → 211

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (sqrt.f64 (exp.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (+.f64 1 x)) 1/4) (.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (pow.f64 (exp.f64 (+.f64 1 x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))) (.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (exp.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (exp.f64 (+.f64 2 (.f64 x 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 2 (.f64 x 2)))) (cbrt.f64 (exp.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 x) (E.f64))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (E.f64) (exp.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (pow.f64 (exp.f64 (+.f64 1 x)) 1/4)) (pow.f64 (exp.f64 (+.f64 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (exp.f64 (+.f64 1 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))))) (cbrt.f64 (exp.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 2 (.f64 x 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 1 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (hypot.f64 1 (sqrt.f64 x))) (hypot.f64 1 (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 1 x)) 2)) (cbrt.f64 (+.f64 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (exp.f64 (+.f64 2 (*.f64 x 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (exp.f64 (/.f64 (fma.f64 x x -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)) (pow.f64 1 (+.f64 -2 (.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2))) (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))) (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))) (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) 4)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2))) (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)))) (sqrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 x -1)))) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)) (cbrt.f64 (exp.f64 (/.f64 (fma.f64 x x -1) 2)))) 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simplify305.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

1482×	`distribute-lft-in`
1472×	`distribute-rgt-in`
1050×	`times-frac`
848×	`associate-/l*`
536×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	529	11347
1	1229	10287
2	5293	10255

Stop Event

1×	node limit

Counts

243 → 346

Calls

Call 1

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

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

eval1.4s (16.5%)

Compiler: Compiled 16424 to 13041 computations (20.6% saved)

prune301.0ms (3.7%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	631	2	633
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	633	6	639

Error

100.0%

Counts

639 → 6

Alt Table

Click to see full alt table

Status	Error	Program
	100.0%	(pow.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 x 1/2))) (-.f64 x 1)) 2)
✓	99.9%	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
	99.2%	(-.f64 (+.f64 (.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1)) 1) 1)
✓	99.9%	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	100.0%	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	98.4%	(exp.f64 -1)

Compiler

Compiled 53 to 43 computations (18.9% saved)

regimes43.0ms (0.5%)

Counts

12 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(-.f64 (+.f64 (.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1)) 1) 1)
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(-.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)
(sqrt.f64 (exp.f64 (*.f64 2 (fma.f64 x x -1))))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1/2 (*.f64 x 1/2))) (-.f64 x 1)) 2)
(cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 x 1)) 2)
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 x -1)))

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

Calls

5 calls:

16.0ms	x
7.0ms	(-.f64 1 (*.f64 x x))
6.0ms	(*.f64 x x)
4.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 137 to 101 computations (26.3% saved)

regimes117.0ms (1.4%)

Accuracy

Total -1.0b remaining (-4110.1%)

Threshold costs -1.00b (-4110.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

92.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
9.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(-.f64 1 (*.f64 x x))
4.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 87 to 61 computations (29.9% saved)

simplify8.0ms (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	57
1	25	57
2	26	57

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 23 to 19 computations (17.4% saved)

soundness202.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 36 to 22 computations (38.9% saved)

end36.0ms (0.4%)

Compiler: Compiled 21 to 17 computations (19% saved)

Details

analyze4.0ms (0%)

sample1.8s (22.1%)

preprocess69.0ms (0.8%)

simplify88.0ms (1.1%)

eval1.0ms (0%)

prune2.0ms (0%)

localize11.0ms (0.1%)

series1.0ms (0%)

rewrite93.0ms (1.1%)

simplify129.0ms (1.6%)

eval19.0ms (0.2%)

prune100.0ms (1.2%)

localize27.0ms (0.3%)

series5.0ms (0.1%)

rewrite164.0ms (2%)

simplify166.0ms (2%)

localize6.0ms (0.1%)

localize21.0ms (0.3%)

series2.0ms (0%)

rewrite138.0ms (1.7%)

simplify110.0ms (1.3%)

eval188.0ms (2.3%)

prune45.0ms (0.6%)

localize79.0ms (1%)

series3.0ms (0%)

rewrite117.0ms (1.4%)

simplify143.0ms (1.7%)

localize13.0ms (0.2%)

series2.0ms (0%)

rewrite150.0ms (1.8%)

simplify104.0ms (1.3%)

localize74.0ms (0.9%)

series9.0ms (0.1%)

rewrite139.0ms (1.7%)

simplify110.0ms (1.3%)

eval639.0ms (7.8%)

prune259.0ms (3.2%)

localize25.0ms (0.3%)

series1.0ms (0%)

rewrite257.0ms (3.1%)

simplify231.0ms (2.8%)

localize33.0ms (0.4%)

series2.0ms (0%)

rewrite245.0ms (3%)

simplify305.0ms (3.7%)

eval1.4s (16.5%)

prune301.0ms (3.7%)

regimes43.0ms (0.5%)

regimes117.0ms (1.4%)

simplify8.0ms (0.1%)

soundness202.0ms (2.5%)

end36.0ms (0.4%)

Profiling