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)

sample1.3s (46.4%)

Results

1.3s	8256×	body	256	valid
2.0ms	20×	body	256	infinite

Bogosity

preprocess48.0ms (1.7%)

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)

simplify53.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1610×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1466×	`add-cbrt-cube`
164×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	169	13
2	2041	13

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

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

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

Outputs

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

simplify59.0ms (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))

eval12.0ms (0.4%)

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

prune5.0ms (0.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	38	2	40
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	3	41

Error

0.0b

Counts

41 → 3

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	1.3b	(exp.f64 -1)

Compiler

Compiled 19 to 15 computations (21.1% saved)

localize3.0ms (0.1%)

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

localize11.0ms (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)

series17.0ms (0.6%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
16.0ms	x	@	inf	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
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	@	0	(exp.f64 (+.f64 x 1))
0.0ms	x	@	-inf	(exp.f64 (+.f64 x 1))

rewrite79.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

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

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))))))))

simplify72.0ms (2.5%)

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))

eval34.0ms (1.2%)

Compiler: Compiled 1273 to 951 computations (25.3% saved)

prune47.0ms (1.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	94	4	98

Error

Counts

98 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (exp.f64 (+.f64 x -1)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.3b	(exp.f64 -1)

Compiler

Compiled 31 to 24 computations (22.6% saved)

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 18 computations (37.9% saved)

series14.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
12.0ms	x	@	0	(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (exp.f64 (+.f64 x -1)))
0.0ms	x	@	-inf	(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (exp.f64 (+.f64 x -1)))
0.0ms	x	@	inf	(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (exp.f64 (+.f64 x -1)))
0.0ms	x	@	0	(pow.f64 (exp.f64 x) (+.f64 x -1))
0.0ms	x	@	0	(exp.f64 (+.f64 x -1))

rewrite103.0ms (3.6%)

Algorithm

1×	batch-egg-rewrite

Rules

962×	`*-commutative`
898×	`unswap-sqr`
566×	`swap-sqr`
488×	`associate-*r/`
430×	`sqr-pow`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	61
1	209	57
2	2604	41

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

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

simplify77.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1272×	`distribute-lft-in`
1258×	`distribute-rgt-in`
768×	`times-frac`
578×	`associate-*r/`
536×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	4317
1	803	3173
2	2720	3103

Stop Event

1×	node limit

Counts

141 → 185

Calls

Call 1

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

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

eval83.0ms (2.9%)

Compiler: Compiled 3729 to 2500 computations (33% saved)

prune26.0ms (0.9%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	184	5	189

Error

Counts

189 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) (exp.f64 (+.f64 x -1)))
▶	0.0b	(exp.f64 (+.f64 (*.f64 x (+.f64 -1 x)) (+.f64 -1 x)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	1.3b	(exp.f64 -1)

Compiler

Compiled 42 to 32 computations (23.8% saved)

localize14.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 30 to 20 computations (33.3% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1404×	`associate-*r/`
1138×	`distribute-lft-in`
1078×	`associate-*l/`
974×	`*-commutative`
334×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	55
1	203	55
2	2766	55

Stop Event

1×	node limit

Counts

3 → 211

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1002×	`associate-/l*`
712×	`associate-r`
698×	`associate-l`
590×	`distribute-lft-in`
542×	`*-commutative`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	544	10741
1	1655	9445

Stop Event

1×	node limit

Counts

247 → 342

Calls

Call 1

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

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

eval276.0ms (9.5%)

Compiler: Compiled 8529 to 6240 computations (26.8% saved)

prune55.0ms (1.9%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	340	2	342
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	342	5	347

Error

Counts

347 → 5

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 x 1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x (+.f64 -1 x)) (+.f64 -1 x)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
	52.6b	(exp.f64 (*.f64 x x))
✓	1.3b	(exp.f64 -1)

Compiler

Compiled 35 to 26 computations (25.7% saved)

regimes17.0ms (0.6%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

5 calls:

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

Results

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

Compiler

Compiled 84 to 57 computations (32.1% saved)

regimes18.0ms (0.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

7.0ms	x
4.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 65 to 43 computations (33.8% saved)

regimes6.0ms (0.2%)

Accuracy

Total -51.3b remaining (-3974.8%)

Threshold costs -51.3b (-3974.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(exp.f64 -1)

Calls

2 calls:

3.0ms	x
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.3b	1	`x`
1.3b	1	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	45
1	19	45

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 19 to 15 computations (21.1% saved)

soundness110.0ms (3.8%)

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)

end23.0ms (0.8%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

Details

analyze3.0ms (0.1%)

sample1.3s (46.4%)

preprocess48.0ms (1.7%)

simplify53.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite52.0ms (1.8%)

simplify59.0ms (2%)

eval12.0ms (0.4%)

prune5.0ms (0.2%)

localize3.0ms (0.1%)

localize11.0ms (0.4%)

series17.0ms (0.6%)

rewrite79.0ms (2.7%)

simplify72.0ms (2.5%)

eval34.0ms (1.2%)

prune47.0ms (1.6%)

localize15.0ms (0.5%)

series14.0ms (0.5%)

rewrite103.0ms (3.6%)

simplify77.0ms (2.7%)

eval83.0ms (2.9%)

prune26.0ms (0.9%)

localize14.0ms (0.5%)

series2.0ms (0.1%)

rewrite93.0ms (3.2%)

simplify109.0ms (3.8%)

eval276.0ms (9.5%)

prune55.0ms (1.9%)

regimes17.0ms (0.6%)

regimes18.0ms (0.6%)

regimes6.0ms (0.2%)

simplify6.0ms (0.2%)

soundness110.0ms (3.8%)

end23.0ms (0.8%)

Profiling