Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample951.0ms (36.8%)

Results

913.0ms	8256×	body	256	valid
1.0ms	17×	body	256	infinite

Bogosity

preprocess55.0ms (2.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify56.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (2.1%)

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))))))))

simplify57.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

34 → 40

Calls

Call 1

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

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

eval10.0ms (0.4%)

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

prune10.0ms (0.4%)

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

Counts

41 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.8b	(exp.f64 -1)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize3.0ms (0.1%)

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

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

Outputs

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

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

simplify57.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

71 → 95

Calls

Call 1

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

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

localize14.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 18 computations (33.3% saved)

series2.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

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

rewrite61.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1622×	`add-sqr-sqrt`
1602×	`*-un-lft-identity`
1482×	`add-cube-cbrt`
1468×	`add-cbrt-cube`
178×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	215	26
2	2063	26

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

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

simplify61.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1582×	`associate-r`
1296×	`distribute-lft-in`
1296×	`associate-l`
1280×	`distribute-rgt-in`
372×	`associate-+r+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	90	1321
1	212	1321
2	721	1229
3	4088	1157

Stop Event

1×	node limit

Counts

59 → 47

Calls

Call 1

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

eval123.0ms (4.8%)

Compiler: Compiled 1997 to 1524 computations (23.7% saved)

prune16.0ms (0.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	0	0	0
Picked	1	0	1
Done	1	2	3
Total	142	4	146

Error

Counts

146 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 -2 (*.f64 x 2)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.0b	(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
✓	0.8b	(exp.f64 -1)

Compiler

Compiled 31 to 25 computations (19.4% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 17 computations (29.2% saved)

series3.0ms (0.1%)

Counts

2 → 20

Calls

6 calls:

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

rewrite63.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1904×	`add-sqr-sqrt`
1888×	`*-un-lft-identity`
1764×	`add-cube-cbrt`
1744×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	187	22
2	2421	22

Stop Event

1×	node limit

Counts

2 → 68

Calls

Call 1

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

Outputs

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

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

simplify60.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

1478×	`associate-/l*`
878×	`unswap-sqr`
848×	`associate-/r*`
800×	`*-commutative`
660×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	2164
1	564	1958
2	2459	1718

Stop Event

1×	node limit

Counts

88 → 116

Calls

Call 1

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

localize18.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (exp.f64 (+.f64 x 1)))
	0.0b	(exp.f64 (+.f64 x 1))
✓	1.0b	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (+.f64 -2 (*.f64 x 2)))

Compiler

Compiled 36 to 28 computations (22.2% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite71.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

948×	`associate-*r/`
732×	`associate-*l/`
690×	`distribute-rgt-in`
658×	`distribute-lft-in`
278×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	48
1	277	44
2	3425	44

Stop Event

1×	node limit

Counts

2 → 46

Calls

Call 1

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

Outputs

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

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

simplify85.0ms (3.3%)

Algorithm

1×	egg-herbie

Rules

1196×	`associate-r`
1170×	`associate-/l*`
1070×	`associate-l`
840×	`associate-/r*`
606×	`fma-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	191	2520
1	480	2466
2	1400	1900
3	5796	1900

Stop Event

1×	node limit

Counts

70 → 106

Calls

Call 1

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

Outputs
(/.f64 1 (exp.f64 1))
(exp.f64 -1)
(+.f64 (/.f64 1 (exp.f64 1)) (/.f64 (.f64 (-.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 1)))) 1) x) (exp.f64 1)))
(+.f64 (exp.f64 -1) (/.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) (/.f64 (E.f64) x)))
(fma.f64 (/.f64 0 (E.f64)) x (exp.f64 -1))
(+.f64 (/.f64 (.f64 (pow.f64 x 2) (+.f64 1 (.f64 1/2 (pow.f64 (-.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 1)))) 1) 2)))) (exp.f64 1)) (+.f64 (/.f64 1 (exp.f64 1)) (/.f64 (.f64 (-.f64 (*.f64 2 (log.f64 (sqrt.f64 (exp.f64 1)))) 1) x) (exp.f64 1))))
(+.f64 (+.f64 (exp.f64 -1) (/.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) (/.f64 (E.f64) x))) (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) 2))) (/.f64 (E.f64) (.f64 x x))))
(+.f64 (exp.f64 -1) (+.f64 (/.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) (/.f64 (E.f64) x)) (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 1/2 (pow.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) 2) 1))))
(fma.f64 (exp.f64 -1) (*.f64 x x) (fma.f64 (/.f64 0 (E.f64)) x (exp.f64 -1)))
(+.f64 (/.f64 (.f64 (+.f64 1 (.f64 1/2 (pow.f64 (-.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 1)))) 1) 2))) (pow.f64 x 2)) (exp.f64 1)) (+.f64 (/.f64 (.f64 (-.f64 (+.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 1)))) (+.f64 (.f64 1/6 (pow.f64 (-.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 1)))) 1) 3)) (.f64 -1/3 (+.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)))))))) 1) (pow.f64 x 3)) (exp.f64 1)) (+.f64 (/.f64 1 (exp.f64 1)) (/.f64 (.f64 (-.f64 (.f64 2 (log.f64 (sqrt.f64 (exp.f64 1)))) 1) x) (exp.f64 1)))))
(+.f64 (/.f64 (+.f64 1 (.f64 1/2 (pow.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) 2))) (/.f64 (E.f64) (.f64 x x))) (+.f64 (+.f64 (exp.f64 -1) (/.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) (/.f64 (E.f64) x))) (/.f64 (+.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) (fma.f64 1/6 (pow.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) 3) (+.f64 -1/12 (.f64 -1/3 (fma.f64 3 (/.f64 (-.f64 (.f64 (E.f64) 1/6) (.f64 1/2 (-.f64 (.f64 (E.f64) 1/2) (pow.f64 (.f64 (sqrt.f64 (E.f64)) 1/2) 2)))) (E.f64)) (.f64 -3/2 (/.f64 (-.f64 (.f64 (E.f64) 1/2) (pow.f64 (.f64 (sqrt.f64 (E.f64)) 1/2) 2)) (E.f64)))))))) -1) (/.f64 (E.f64) (pow.f64 x 3)))))
(+.f64 (+.f64 (exp.f64 -1) (/.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) (/.f64 (E.f64) x))) (+.f64 (.f64 (/.f64 (.f64 x x) (E.f64)) (fma.f64 1/2 (pow.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) 2) 1)) (.f64 (/.f64 (+.f64 (fma.f64 -1/3 (+.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)))))) (*.f64 1/6 (pow.f64 (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1) 3))) (fma.f64 2 (log.f64 (sqrt.f64 (E.f64))) -1)) (E.f64)) (pow.f64 x 3))))
(fma.f64 (exp.f64 -1) (*.f64 x x) (fma.f64 (/.f64 0 (E.f64)) (pow.f64 x 3) (fma.f64 (/.f64 0 (E.f64)) x (exp.f64 -1))))
(fma.f64 (exp.f64 -1) (*.f64 x x) (fma.f64 (/.f64 0 (E.f64)) x (fma.f64 (/.f64 0 (E.f64)) (pow.f64 x 3) (exp.f64 -1))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 (*.f64 2 x) 2))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 (*.f64 2 x) 2))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 (*.f64 2 x) 2))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (-.f64 (*.f64 2 x) 2))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 -1 x))))) (+.f64 2 (.f64 -2 x)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 -1 x))))) (+.f64 2 (.f64 -2 x)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 -1 x))))) (+.f64 2 (.f64 -2 x)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(exp.f64 (.f64 -1 (.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 1 (.f64 -1 x))))) (+.f64 2 (.f64 -2 x)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(sqrt.f64 (exp.f64 1))
(sqrt.f64 (E.f64))
(+.f64 (sqrt.f64 (exp.f64 1)) (.f64 1/2 (.f64 x (sqrt.f64 (exp.f64 1)))))
(+.f64 (sqrt.f64 (E.f64)) (.f64 (.f64 x 1/2) (sqrt.f64 (E.f64))))
(.f64 (+.f64 (.f64 x 1/2) 1) (sqrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (E.f64)) (fma.f64 x 1/2 1))
(+.f64 (sqrt.f64 (exp.f64 1)) (+.f64 (.f64 1/2 (.f64 x (sqrt.f64 (exp.f64 1)))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 1)) (pow.f64 (*.f64 1/2 (sqrt.f64 (exp.f64 1))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (exp.f64 1)))))))
(+.f64 (sqrt.f64 (E.f64)) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (E.f64)) x) (.f64 (-.f64 (.f64 (E.f64) 1/2) (pow.f64 (.f64 (sqrt.f64 (E.f64)) 1/2) 2)) (.f64 (*.f64 x x) (sqrt.f64 (exp.f64 -1)))))))
(fma.f64 1/2 (fma.f64 (sqrt.f64 (E.f64)) x (.f64 (.f64 x x) (.f64 (-.f64 (.f64 (E.f64) 1/2) (pow.f64 (*.f64 (sqrt.f64 (E.f64)) 1/2) 2)) (sqrt.f64 (exp.f64 -1))))) (sqrt.f64 (E.f64)))
(fma.f64 1/2 (.f64 x (.f64 (.f64 x (sqrt.f64 (exp.f64 -1))) (fma.f64 (E.f64) 1/2 (.f64 (E.f64) -1/4)))) (*.f64 (sqrt.f64 (E.f64)) (fma.f64 x 1/2 1)))
(fma.f64 (fma.f64 x 1/2 1) (sqrt.f64 (E.f64)) (.f64 (fma.f64 (E.f64) 1/2 (.f64 (E.f64) -1/4)) (.f64 (sqrt.f64 (exp.f64 -1)) (.f64 x (*.f64 x 1/2)))))
(+.f64 (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/6 (exp.f64 1)) (.f64 1/2 (-.f64 (.f64 1/2 (exp.f64 1)) (pow.f64 (.f64 1/2 (sqrt.f64 (exp.f64 1))) 2)))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (exp.f64 1))))) (+.f64 (sqrt.f64 (exp.f64 1)) (+.f64 (.f64 1/2 (.f64 x (sqrt.f64 (exp.f64 1)))) (.f64 1/2 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 1)) (pow.f64 (.f64 1/2 (sqrt.f64 (exp.f64 1))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (exp.f64 1))))))))
(fma.f64 1/2 (.f64 (-.f64 (.f64 (E.f64) 1/6) (.f64 1/2 (-.f64 (.f64 (E.f64) 1/2) (pow.f64 (.f64 (sqrt.f64 (E.f64)) 1/2) 2)))) (.f64 (pow.f64 x 3) (sqrt.f64 (exp.f64 -1)))) (+.f64 (sqrt.f64 (E.f64)) (.f64 1/2 (+.f64 (.f64 (sqrt.f64 (E.f64)) x) (.f64 (-.f64 (.f64 (E.f64) 1/2) (pow.f64 (.f64 (sqrt.f64 (E.f64)) 1/2) 2)) (.f64 (*.f64 x x) (sqrt.f64 (exp.f64 -1))))))))
(fma.f64 1/2 (.f64 (fma.f64 (E.f64) 1/6 (.f64 (-.f64 (.f64 (E.f64) 1/2) (pow.f64 (.f64 (sqrt.f64 (E.f64)) 1/2) 2)) -1/2)) (.f64 (pow.f64 x 3) (sqrt.f64 (exp.f64 -1)))) (fma.f64 1/2 (fma.f64 (sqrt.f64 (E.f64)) x (.f64 (.f64 x x) (.f64 (-.f64 (.f64 (E.f64) 1/2) (pow.f64 (.f64 (sqrt.f64 (E.f64)) 1/2) 2)) (sqrt.f64 (exp.f64 -1))))) (sqrt.f64 (E.f64))))
(fma.f64 (fma.f64 x 1/2 1) (sqrt.f64 (E.f64)) (.f64 (.f64 1/2 (sqrt.f64 (exp.f64 -1))) (+.f64 (.f64 x (.f64 x (fma.f64 (E.f64) 1/2 (.f64 (E.f64) -1/4)))) (.f64 (fma.f64 (E.f64) 1/6 (.f64 (fma.f64 (E.f64) 1/2 (.f64 (E.f64) -1/4)) -1/2)) (pow.f64 x 3)))))
(fma.f64 (fma.f64 x 1/2 1) (sqrt.f64 (E.f64)) (.f64 (.f64 1/2 (sqrt.f64 (exp.f64 -1))) (+.f64 (.f64 (.f64 x x) (fma.f64 (E.f64) 1/2 (.f64 (E.f64) -1/4))) (.f64 (fma.f64 (E.f64) 1/6 (.f64 (fma.f64 (E.f64) 1/2 (.f64 (E.f64) -1/4)) -1/2)) (pow.f64 x 3)))))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(sqrt.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(sqrt.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(sqrt.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(sqrt.f64 (exp.f64 (-.f64 1 (*.f64 -1 x))))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(*.f64 1 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (/.f64 (fma.f64 x 2 -2) 4)) (pow.f64 (exp.f64 (+.f64 x 1)) (/.f64 (fma.f64 x 2 -2) 4)))
(pow.f64 (exp.f64 (+.f64 1 x)) (*.f64 2 (/.f64 (fma.f64 2 x -2) 4)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 (/.f64 x 1) -1))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 -1 (/.f64 x 1)))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (fma.f64 2 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (fma.f64 2 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2))) (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2))))
(*.f64 (cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (fma.f64 2 x -2))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))) (cbrt.f64 (pow.f64 (exp.f64 (+.f64 1 x)) (fma.f64 2 x -2))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) -1) (pow.f64 (exp.f64 (+.f64 x 1)) x))
(*.f64 (/.f64 1 (exp.f64 (+.f64 1 x))) (pow.f64 (exp.f64 (+.f64 1 x)) x))
(*.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) (pow.f64 (exp.f64 (+.f64 1 x)) x))
(*.f64 (exp.f64 (-.f64 -1 x)) (pow.f64 (exp.f64 (+.f64 1 x)) x))
(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (pow.f64 (exp.f64 (+.f64 x 1)) -1))
(*.f64 (/.f64 1 (exp.f64 (+.f64 1 x))) (pow.f64 (exp.f64 (+.f64 1 x)) x))
(*.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) (pow.f64 (exp.f64 (+.f64 1 x)) x))
(*.f64 (exp.f64 (-.f64 -1 x)) (pow.f64 (exp.f64 (+.f64 1 x)) x))
(.f64 (pow.f64 1 (.f64 (fma.f64 x 2 -2) 1/2)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) (.f64 (fma.f64 x 2 -2) 1/2)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (*.f64 (fma.f64 x 2 -2) 1/2)))
(.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) (.f64 1/2 (fma.f64 2 x -2))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (*.f64 1/2 (fma.f64 2 x -2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2) (+.f64 x -1)) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (+.f64 x -1)))
(.f64 (pow.f64 (exp.f64 x) (.f64 (fma.f64 x 2 -2) 1/2)) (pow.f64 (E.f64) (*.f64 (fma.f64 x 2 -2) 1/2)))
(.f64 (pow.f64 (exp.f64 x) (.f64 1/2 (fma.f64 2 x -2))) (pow.f64 (E.f64) (*.f64 1/2 (fma.f64 2 x -2))))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (pow.f64 (E.f64) (+.f64 x -1)))
(*.f64 (pow.f64 1 (fma.f64 x 2 -2)) (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(*.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (fma.f64 x 2 -2)) (pow.f64 (pow.f64 (exp.f64 (+.f64 x 1)) 1/4) (fma.f64 x 2 -2)))
(pow.f64 (pow.f64 (exp.f64 (+.f64 1 x)) 1/4) (*.f64 2 (fma.f64 2 x -2)))
(pow.f64 (sqrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))) (+.f64 -4 (*.f64 x 4)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 x 1)))) (fma.f64 x 2 -2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2)) (pow.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 1 x)))) (fma.f64 2 x -2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2)) (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x 1/2 1/2))) (fma.f64 2 x -2)))
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) (fma.f64 x 2 -2)))
(pow.f64 (exp.f64 (+.f64 1 x)) (*.f64 2 (/.f64 (fma.f64 2 x -2) 4)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 (/.f64 x 1) -1))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 -1 (/.f64 x 1)))
(log.f64 (exp.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(cbrt.f64 (pow.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2)) 3))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(expm1.f64 (log1p.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(exp.f64 (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x 2 -2)) 2))
(pow.f64 (exp.f64 (+.f64 1 x)) (*.f64 2 (/.f64 (fma.f64 2 x -2) 4)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 (/.f64 x 1) -1))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 -1 (/.f64 x 1)))
(exp.f64 (.f64 (/.f64 (.f64 (+.f64 x 1) (fma.f64 x 2 -2)) 2) 1))
(pow.f64 (exp.f64 (+.f64 1 x)) (*.f64 2 (/.f64 (fma.f64 2 x -2) 4)))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 (/.f64 x 1) -1))
(pow.f64 (exp.f64 (+.f64 1 x)) (+.f64 -1 (/.f64 x 1)))
(log1p.f64 (expm1.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1))) (fma.f64 x 2 -2))))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 1 x))) (fma.f64 2 x -2))
(pow.f64 (exp.f64 (fma.f64 x 1/2 1/2)) (fma.f64 2 x -2))
(-.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 (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 (exp.f64 x)) (sqrt.f64 (E.f64)))
(*.f64 (sqrt.f64 (E.f64)) (sqrt.f64 (exp.f64 x)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x 1)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (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 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 2) 1/2) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 1 x))) (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)))
(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 1/2 (*.f64 1/2 x)))
(sqrt.f64 (exp.f64 (+.f64 1 x)))
(exp.f64 (fma.f64 x 1/2 1/2))
(exp.f64 (.f64 (+.f64 1/2 (.f64 1/2 x)) 1))
(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))

eval88.0ms (3.4%)

Compiler: Compiled 4301 to 3260 computations (24.2% saved)

prune32.0ms (1.2%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	0	0	0
Picked	1	0	1
Done	0	3	3
Total	261	4	265

Error

Counts

265 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (-.f64 -1 x)) (-.f64 1 x))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
✓	0.8b	(exp.f64 -1)

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize10.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite78.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

1110×	`associate-*r/`
882×	`associate-*l/`
878×	`*-commutative`
700×	`unswap-sqr`
496×	`swap-sqr`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	212	34
2	2622	34

Stop Event

1×	node limit

Counts

2 → 124

Calls

Call 1

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

Outputs

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

simplify121.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

1740×	`unswap-sqr`
1444×	`associate-/r/`
670×	`distribute-rgt-in`
670×	`distribute-lft-in`
474×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	331	5226
1	842	4546
2	3555	4342

Stop Event

1×	node limit

Counts

148 → 215

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

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

eval124.0ms (4.8%)

Compiler: Compiled 4188 to 3268 computations (22% saved)

prune39.0ms (1.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	215	4	219

Error

Counts

219 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (-.f64 -1 x)) (-.f64 1 x))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 1 x) (-.f64 x 1)))
✓	0.8b	(exp.f64 -1)

Compiler

Compiled 28 to 22 computations (21.4% saved)

regimes15.0ms (0.6%)

Accuracy

Total -1.8b remaining (-22705.1%)

Threshold costs -1.8b (-22705.1%)

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

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

Calls

5 calls:

5.0ms	x
3.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 86 to 62 computations (27.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	22
1	10	22

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 10 to 8 computations (20% saved)

soundness135.0ms (5.2%)

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)

end14.0ms (0.5%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

Details

analyze3.0ms (0.1%)

sample951.0ms (36.8%)

preprocess55.0ms (2.1%)

simplify56.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.3%)

series1.0ms (0%)

rewrite53.0ms (2.1%)

simplify57.0ms (2.2%)

eval10.0ms (0.4%)

prune10.0ms (0.4%)

localize3.0ms (0.1%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite59.0ms (2.3%)

simplify57.0ms (2.2%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

rewrite61.0ms (2.4%)

simplify61.0ms (2.3%)

eval123.0ms (4.8%)

prune16.0ms (0.6%)

localize10.0ms (0.4%)

series3.0ms (0.1%)

rewrite63.0ms (2.4%)

simplify60.0ms (2.3%)

localize18.0ms (0.7%)

series3.0ms (0.1%)

rewrite71.0ms (2.7%)

simplify85.0ms (3.3%)

eval88.0ms (3.4%)

prune32.0ms (1.2%)

localize10.0ms (0.4%)

series2.0ms (0.1%)

rewrite78.0ms (3%)

simplify121.0ms (4.7%)

eval124.0ms (4.8%)

prune39.0ms (1.5%)

regimes15.0ms (0.6%)

simplify4.0ms (0.1%)

soundness135.0ms (5.2%)

end14.0ms (0.5%)

Profiling