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)

sample1.2s (34.2%)

Results

1.2s	8256×	body	256	valid
1.0ms	18×	body	256	infinite

Bogosity

preprocess46.0ms (1.3%)

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 (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

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 2 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite59.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	169	22
2	2041	22

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

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

simplify64.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1786×	`associate-*r/`
1462×	`associate-*l/`
862×	`unswap-sqr`
572×	`distribute-lft-in`
534×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	139	1388
1	317	1296
2	1236	1192
3	5269	1192

Stop Event

1×	node limit

Counts

80 → 80

Calls

Call 1

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

eval24.0ms (0.7%)

Compiler: Compiled 868 to 655 computations (24.5% saved)

prune11.0ms (0.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	77	3	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	77	4	81

Error

0.0b

Counts

81 → 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	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	52.6b	(exp.f64 (*.f64 x x))
▶	1.2b	(exp.f64 -1)

Compiler

Compiled 24 to 18 computations (25% saved)

localize3.0ms (0.1%)

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 9 to 3 computations (66.7% saved)

series0.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1002×	`add-sqr-sqrt`
990×	`*-un-lft-identity`
932×	`pow1`
914×	`add-cube-cbrt`
904×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	115	11
2	1322	11

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify63.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1336×	`fma-def`
946×	`associate-r`
750×	`*-commutative`
712×	`associate-l`
618×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	64	453
1	146	441
2	563	433
3	2570	433
4	4353	433
5	7490	433

Stop Event

1×	node limit

Counts

33 → 38

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite66.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (1.7%)

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))

eval37.0ms (1%)

Compiler: Compiled 1593 to 1121 computations (29.6% saved)

prune19.0ms (0.5%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	130	3	133
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	130	7	137

Error

0.0b

Counts

137 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
▶	52.6b	(+.f64 1 (*.f64 x x))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.2b	(exp.f64 -1)
	52.7b	1

Compiler

Compiled 44 to 33 computations (25% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 35 to 25 computations (28.6% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite69.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1056×	`*-commutative`
864×	`associate-*r/`
726×	`associate-*l/`
616×	`swap-sqr`
462×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	61
1	250	57
2	3082	41

Stop Event

1×	node limit

Counts

3 → 88

Calls

Call 1

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

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

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

simplify103.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1252×	`associate-/r*`
928×	`distribute-lft-in`
892×	`*-commutative`
874×	`distribute-rgt-in`
824×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	252	3108
1	591	2378
2	2548	2068

Stop Event

1×	node limit

Counts

124 → 163

Calls

Call 1

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

localize4.0ms (0.1%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval80.0ms (2.2%)

Compiler: Compiled 3171 to 2220 computations (30% saved)

prune67.0ms (1.9%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	200	2	202
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	200	9	209

Error

Counts

209 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	52.6b	(+.f64 1 (*.f64 x x))
▶	2.0b	(.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (/.f64 (.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (exp.f64 -1))) (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -1)))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
▶	0.1b	(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x)) (sqrt.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x))) (exp.f64 (-.f64 -1 x)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.2b	(exp.f64 -1)
	52.7b	1

Compiler

Compiled 87 to 68 computations (21.8% saved)

localize39.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 66 to 48 computations (27.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite73.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1062×	`associate-*r/`
944×	`associate-*l/`
624×	`distribute-rgt-in`
576×	`distribute-lft-in`
282×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	71
1	275	67
2	3331	67

Stop Event

1×	node limit

Counts

3 → 83

Calls

Call 1

Inputs

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

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

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

Outputs

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

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

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

simplify68.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1816×	`distribute-lft-in`
1804×	`distribute-rgt-in`
982×	`associate-/l/`
878×	`associate-/r/`
526×	`associate-+r+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	257	3241
1	630	2635
2	2904	2635

Stop Event

1×	node limit

Counts

119 → 140

Calls

Call 1

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

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

localize59.0ms (1.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 72 to 58 computations (19.4% saved)

series7.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

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

rewrite353.0ms (9.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1094×	`associate-/r/`
536×	`associate-/l/`
466×	`distribute-rgt-in`
434×	`distribute-lft-in`
396×	`distribute-lft-neg-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	16	128
1	331	66
2	4454	60

Stop Event

1×	node limit

Counts

4 → 193

Calls

Call 1

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

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

simplify111.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

966×	`associate-+r+`
878×	`associate-+l+`
844×	`associate-r`
838×	`times-frac`
650×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	5217
1	1303	4647
2	6648	4639

Stop Event

1×	node limit

Counts

229 → 284

Calls

Call 1

Inputs
(pow.f64 (/.f64 1 (exp.f64 -1)) 1/3)
(+.f64 (*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) x) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) x) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3)))
(+.f64 (.f64 1/2 (.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) x) (+.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (.f64 1/6 (*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 3))))))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (exp.f64 x))
(*.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (exp.f64 x))
(exp.f64 -1)
(+.f64 (.f64 (-.f64 (.f64 3/2 (exp.f64 -1)) (*.f64 1/2 (exp.f64 -1))) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (.f64 (-.f64 (.f64 3/2 (exp.f64 -1)) (.f64 1/2 (exp.f64 -1))) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 (-.f64 (+.f64 (.f64 1/2 (exp.f64 -1)) (.f64 7/6 (exp.f64 -1))) (+.f64 (.f64 1/6 (exp.f64 -1)) (.f64 3/2 (exp.f64 -1)))) (pow.f64 x 3))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 3/2 (exp.f64 -1)) (.f64 25/24 (exp.f64 -1)))) (+.f64 (.f64 1/2 (exp.f64 -1)) (+.f64 (.f64 1/2 (-.f64 (.f64 3/2 (exp.f64 -1)) (.f64 1/2 (exp.f64 -1)))) (+.f64 (.f64 1/24 (exp.f64 -1)) (.f64 7/6 (exp.f64 -1)))))) (pow.f64 x 4)) (+.f64 (.f64 (-.f64 (.f64 3/2 (exp.f64 -1)) (.f64 1/2 (exp.f64 -1))) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 (-.f64 (+.f64 (.f64 1/2 (exp.f64 -1)) (.f64 7/6 (exp.f64 -1))) (+.f64 (.f64 1/6 (exp.f64 -1)) (.f64 3/2 (exp.f64 -1)))) (pow.f64 x 3)))))
(/.f64 (.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 -1)) (exp.f64 x))
(/.f64 (.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 -1)) (exp.f64 x))
(/.f64 (.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 -1)) (exp.f64 x))
(/.f64 (.f64 (exp.f64 (.f64 (+.f64 1 x) x)) (exp.f64 -1)) (exp.f64 x))
(/.f64 (.f64 (exp.f64 -1) (exp.f64 (.f64 (-.f64 1 (*.f64 -1 x)) x))) (exp.f64 x))
(/.f64 (.f64 (exp.f64 -1) (exp.f64 (.f64 (-.f64 1 (*.f64 -1 x)) x))) (exp.f64 x))
(/.f64 (.f64 (exp.f64 -1) (exp.f64 (.f64 (-.f64 1 (*.f64 -1 x)) x))) (exp.f64 x))
(/.f64 (.f64 (exp.f64 -1) (exp.f64 (.f64 (-.f64 1 (*.f64 -1 x)) x))) (exp.f64 x))
(exp.f64 -1)
(+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x)))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (exp.f64 -1)) (.f64 -1 (exp.f64 -1))) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (.f64 -1 (.f64 (exp.f64 -1) x))))
(+.f64 (.f64 -1 (.f64 (+.f64 (.f64 -1/2 (exp.f64 -1)) (+.f64 (.f64 1/6 (exp.f64 -1)) (.f64 -1 (+.f64 (.f64 1/2 (exp.f64 -1)) (.f64 -1 (exp.f64 -1)))))) (pow.f64 x 3))) (+.f64 (.f64 -1 (.f64 (+.f64 (.f64 1/2 (exp.f64 -1)) (.f64 -1 (exp.f64 -1))) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (.f64 -1 (*.f64 (exp.f64 -1) x)))))
(/.f64 (exp.f64 -1) (exp.f64 x))
(/.f64 (exp.f64 -1) (exp.f64 x))
(/.f64 (exp.f64 -1) (exp.f64 x))
(/.f64 (exp.f64 -1) (exp.f64 x))
(/.f64 (exp.f64 -1) (exp.f64 x))
(/.f64 (exp.f64 -1) (exp.f64 x))
(/.f64 (exp.f64 -1) (exp.f64 x))
(/.f64 (exp.f64 -1) (exp.f64 x))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 -1/3))) 1)
(*.f64 -1 (neg.f64 (exp.f64 -1/3)))
(*.f64 (exp.f64 -1/3) 1)
(*.f64 1 (exp.f64 -1/3))
(*.f64 (sqrt.f64 (exp.f64 -1/3)) (sqrt.f64 (exp.f64 -1/3)))
(*.f64 (sqrt.f64 (exp.f64 -1/3)) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 -1/3)))))
(*.f64 (cbrt.f64 (exp.f64 -2/3)) (cbrt.f64 (exp.f64 -1/3)))
(*.f64 (cbrt.f64 (exp.f64 -2/3)) (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 -1/3)))))
(*.f64 (cbrt.f64 (exp.f64 -1/3)) (cbrt.f64 (exp.f64 -2/3)))
(*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 -4/3))) (sqrt.f64 (cbrt.f64 (exp.f64 -2/3))))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 -1/3))) (neg.f64 (sqrt.f64 (neg.f64 (exp.f64 -1/3)))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (exp.f64 -1/3))) (cbrt.f64 (neg.f64 (exp.f64 -1/3)))) (neg.f64 (cbrt.f64 (neg.f64 (exp.f64 -1/3)))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 -1/3))) (neg.f64 (sqrt.f64 (exp.f64 -1/3))))
(*.f64 (neg.f64 (cbrt.f64 (exp.f64 -2/3))) (neg.f64 (cbrt.f64 (exp.f64 -1/3))))
(*.f64 (pow.f64 1 1/3) (exp.f64 -1/3))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 -1)) 1/3) (pow.f64 (sqrt.f64 (exp.f64 -1)) 1/3))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (exp.f64 -1/3)))) (sqrt.f64 (neg.f64 (exp.f64 -1/3))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (exp.f64 -1/3))) (cbrt.f64 (neg.f64 (exp.f64 -1/3))))) (cbrt.f64 (neg.f64 (exp.f64 -1/3))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 -1/3)))) (sqrt.f64 (exp.f64 -1/3)))
(*.f64 (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 -2/3)))) (cbrt.f64 (exp.f64 -1/3)))
(pow.f64 (exp.f64 -1) 1/3)
(pow.f64 (exp.f64 -1/3) 1)
(pow.f64 (exp.f64 -2/3) 1/2)
(pow.f64 (sqrt.f64 (exp.f64 -1/3)) 2)
(pow.f64 (cbrt.f64 (exp.f64 -1/3)) 3)
(neg.f64 (neg.f64 (exp.f64 -1/3)))
(sqrt.f64 (exp.f64 -2/3))
(fabs.f64 (exp.f64 -1/3))
(log.f64 (exp.f64 (exp.f64 -1/3)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 -1/3))))
(expm1.f64 (log1p.f64 (exp.f64 -1/3)))
(exp.f64 -1/3)
(log1p.f64 (expm1.f64 (exp.f64 -1/3)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x 1/3)))) 1)
(*.f64 -1 (neg.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (exp.f64 x) (exp.f64 1/3))
(*.f64 (exp.f64 x) (neg.f64 (neg.f64 (exp.f64 1/3))))
(*.f64 (exp.f64 (+.f64 x 1/3)) 1)
(*.f64 1 (exp.f64 (+.f64 x 1/3)))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))) (sqrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))) (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))))))
(.f64 (sqrt.f64 (exp.f64 x)) (.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 1/3)))
(.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2))) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2))) (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))))))
(.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 1/3)))
(*.f64 (exp.f64 1/3) (exp.f64 x))
(*.f64 (neg.f64 (exp.f64 x)) (neg.f64 (exp.f64 1/3)))
(*.f64 (neg.f64 (exp.f64 x)) (/.f64 1 (neg.f64 (exp.f64 -1/3))))
(*.f64 (sqrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3)))) (neg.f64 (sqrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3))))))
(.f64 (.f64 (cbrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3)))) (cbrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3))))) (neg.f64 (cbrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3))))))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 -1/3))) (/.f64 (exp.f64 x) (sqrt.f64 (exp.f64 -1/3))))
(*.f64 (/.f64 1 (cbrt.f64 (exp.f64 -2/3))) (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -1/3))))
(*.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(.f64 (neg.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2)))) (neg.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (/.f64 1 (neg.f64 (exp.f64 -1/3))) (neg.f64 (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 -1/3)) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) 1) (/.f64 (sqrt.f64 (exp.f64 x)) (exp.f64 -1/3)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 -2/3))) (/.f64 (sqrt.f64 (exp.f64 x)) (cbrt.f64 (exp.f64 -1/3))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) 1) (/.f64 (cbrt.f64 (exp.f64 x)) (exp.f64 -1/3)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (sqrt.f64 (exp.f64 -1/3))) (/.f64 (cbrt.f64 (exp.f64 x)) (sqrt.f64 (exp.f64 -1/3))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (cbrt.f64 (exp.f64 -2/3))) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (/.f64 1 (exp.f64 x))) (exp.f64 1/3))
(.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2))))) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 1 (/.f64 (exp.f64 -1/3) (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(*.f64 (/.f64 1 (/.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (+.f64 x x))))) (cbrt.f64 (exp.f64 x)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 (+.f64 x x))) (exp.f64 -1/3)) (cbrt.f64 (exp.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3))))) (sqrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3)))))
(.f64 (neg.f64 (.f64 (cbrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3)))) (cbrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3)))))) (cbrt.f64 (neg.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))))) (sqrt.f64 (exp.f64 (+.f64 x 1/3))))
(.f64 (neg.f64 (neg.f64 (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2))))) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (+.f64 x 1/3)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x 1/3))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x 1/3))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3) 1/3)
(pow.f64 (exp.f64 (-.f64 -1/3 x)) -1)
(neg.f64 (neg.f64 (exp.f64 (+.f64 x 1/3))))
(sqrt.f64 (exp.f64 (*.f64 (+.f64 x 1/3) 2)))
(log.f64 (exp.f64 (exp.f64 (+.f64 x 1/3))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 x 1/3)))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 x 1/3)) 3))
(cbrt.f64 (/.f64 (pow.f64 (exp.f64 x) 3) (exp.f64 -1)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 x 1/3))))
(exp.f64 (+.f64 x 1/3))
(exp.f64 (*.f64 (+.f64 x 1/3) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x 1/3))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1))))) 1)
(/.f64 1 (/.f64 1 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1)))))
(/.f64 (exp.f64 (+.f64 x (*.f64 x x))) (exp.f64 (+.f64 x 1)))
(/.f64 (exp.f64 (+.f64 -2/3 (+.f64 x (*.f64 x x)))) (exp.f64 (+.f64 x 1/3)))
(/.f64 (.f64 (exp.f64 (+.f64 x (.f64 x x))) (exp.f64 -1/3)) (exp.f64 (+.f64 x 2/3)))
(/.f64 (.f64 (exp.f64 -1/3) (exp.f64 (+.f64 x (.f64 x x)))) (exp.f64 (+.f64 x 2/3)))
(/.f64 (/.f64 (exp.f64 (+.f64 -2/3 (+.f64 x (*.f64 x x)))) (exp.f64 x)) (exp.f64 1/3))
(/.f64 (/.f64 (exp.f64 (+.f64 -2/3 (+.f64 x (*.f64 x x)))) 1) (exp.f64 (+.f64 x 1/3)))
(/.f64 (/.f64 (exp.f64 (+.f64 -2/3 (+.f64 x (*.f64 x x)))) (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (sqrt.f64 (exp.f64 (+.f64 x 1/3))))
(/.f64 (/.f64 (exp.f64 (+.f64 -2/3 (+.f64 x (.f64 x x)))) (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2)))) (cbrt.f64 (exp.f64 (+.f64 x 1/3))))
(/.f64 (neg.f64 (exp.f64 (+.f64 -2/3 (+.f64 x (*.f64 x x))))) (neg.f64 (exp.f64 (+.f64 x 1/3))))
(pow.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1)))) 3)
(pow.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1))) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1))) 2))
(log.f64 (exp.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1))))))
(cbrt.f64 (pow.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1))) 3))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 (+.f64 x (.f64 x x))) 3) (pow.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) 3)))
(cbrt.f64 (.f64 (pow.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) 3) (pow.f64 (exp.f64 (+.f64 x (.f64 x x))) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1)))))
(exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1)))
(exp.f64 (.f64 (-.f64 (+.f64 x (.f64 x x)) (+.f64 x 1)) 1))
(log1p.f64 (expm1.f64 (exp.f64 (-.f64 (+.f64 x (*.f64 x x)) (+.f64 x 1)))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (exp.f64 -1) (exp.f64 x)))) 1)
(*.f64 (exp.f64 -1/3) (exp.f64 (-.f64 -2/3 x)))
(.f64 (exp.f64 -1/3) (.f64 (exp.f64 -1/3) (exp.f64 (-.f64 -1/3 x))))
(*.f64 1 (/.f64 (exp.f64 -1) (exp.f64 x)))
(*.f64 (exp.f64 -2/3) (exp.f64 (-.f64 -1/3 x)))
(*.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))) (sqrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))) 2) (cbrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))))
(.f64 (cbrt.f64 (exp.f64 -4/3)) (.f64 (cbrt.f64 (exp.f64 -2/3)) (exp.f64 (-.f64 -1/3 x))))
(*.f64 (exp.f64 (-.f64 -2/3 x)) (exp.f64 -1/3))
(*.f64 (exp.f64 (-.f64 -1/3 x)) (exp.f64 -2/3))
(*.f64 (exp.f64 (-.f64 -1/3 x)) (/.f64 (exp.f64 -1/3) (exp.f64 1/3)))
(*.f64 (neg.f64 (exp.f64 -2/3)) (neg.f64 (exp.f64 (-.f64 -1/3 x))))
(.f64 (.f64 (exp.f64 (-.f64 -2/3 x)) 1) (exp.f64 -1/3))
(.f64 (.f64 (exp.f64 (-.f64 -2/3 x)) (sqrt.f64 (exp.f64 -1/3))) (sqrt.f64 (exp.f64 -1/3)))
(.f64 (.f64 (exp.f64 (-.f64 -2/3 x)) (cbrt.f64 (exp.f64 -2/3))) (cbrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 1 (exp.f64 x)) (exp.f64 -1))
(*.f64 (/.f64 1 (exp.f64 x)) (/.f64 (exp.f64 -2/3) (exp.f64 1/3)))
(.f64 (.f64 1 (sqrt.f64 (exp.f64 (-.f64 -1/3 x)))) (/.f64 (exp.f64 -2/3) (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(.f64 (/.f64 1 (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2)))) (/.f64 (exp.f64 -2/3) (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (/.f64 (exp.f64 -2/3) 1) (exp.f64 (-.f64 -1/3 x)))
(*.f64 (/.f64 (exp.f64 -2/3) (sqrt.f64 (exp.f64 x))) (/.f64 (exp.f64 -1/3) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (exp.f64 -2/3) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (exp.f64 -1/3) 1) (exp.f64 (-.f64 -2/3 x)))
(.f64 (/.f64 (exp.f64 -1/3) 1) (.f64 (exp.f64 -1/3) (exp.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 1 (neg.f64 (exp.f64 x))) (.f64 (exp.f64 -2/3) (neg.f64 (exp.f64 -1/3))))
(*.f64 (/.f64 (exp.f64 -2/3) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 -1/3)))
(.f64 (/.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2)))) (/.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (+.f64 x 1/3)))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -4/3)) (exp.f64 x)) (/.f64 (cbrt.f64 (exp.f64 -2/3)) (exp.f64 1/3)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -4/3)) 1) (/.f64 (cbrt.f64 (exp.f64 -2/3)) (exp.f64 (+.f64 x 1/3))))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -4/3)) (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (/.f64 (cbrt.f64 (exp.f64 -2/3)) (sqrt.f64 (exp.f64 (+.f64 x 1/3)))))
(.f64 (/.f64 (cbrt.f64 (exp.f64 -4/3)) (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2)))) (cbrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))))
(*.f64 (neg.f64 (exp.f64 (-.f64 -1/3 x))) (neg.f64 (exp.f64 -2/3)))
(*.f64 (/.f64 (exp.f64 -1/3) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 -2/3)))
(*.f64 (/.f64 (exp.f64 -1/3) (neg.f64 (exp.f64 (+.f64 x 1/3)))) (neg.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (exp.f64 -1/3) (/.f64 (exp.f64 (+.f64 x 1/3)) (sqrt.f64 (exp.f64 -1/3)))) (sqrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (exp.f64 -1/3) (/.f64 (exp.f64 (+.f64 x 1/3)) (cbrt.f64 (exp.f64 -2/3)))) (cbrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 1 (/.f64 (exp.f64 (+.f64 x 1/3)) (cbrt.f64 (exp.f64 -4/3)))) (cbrt.f64 (exp.f64 -2/3)))
(*.f64 (/.f64 (exp.f64 -2/3) -1) (neg.f64 (exp.f64 (-.f64 -1/3 x))))
(*.f64 (/.f64 (exp.f64 -2/3) (/.f64 (exp.f64 x) 1)) (exp.f64 -1/3))
(*.f64 (/.f64 (exp.f64 -2/3) (/.f64 (exp.f64 x) (sqrt.f64 (exp.f64 -1/3)))) (sqrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (exp.f64 -2/3) (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -2/3)))) (cbrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (sqrt.f64 (exp.f64 -1/3)) (exp.f64 (+.f64 x 2/3))) (sqrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -2/3)) (exp.f64 (+.f64 x 2/3))) (cbrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (cbrt.f64 (exp.f64 -4/3)) (exp.f64 (+.f64 x 1/3))) (cbrt.f64 (exp.f64 -2/3)))
(*.f64 (/.f64 (exp.f64 (-.f64 -2/3 x)) -1) (neg.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (exp.f64 (-.f64 -2/3 x)) 1) (exp.f64 -1/3))
(*.f64 (/.f64 (exp.f64 (-.f64 -2/3 x)) 1) (/.f64 (exp.f64 -1/3) 1))
(*.f64 (/.f64 (exp.f64 (-.f64 -2/3 x)) (/.f64 1 (sqrt.f64 (exp.f64 -1/3)))) (sqrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (exp.f64 (-.f64 -2/3 x)) (/.f64 1 (cbrt.f64 (exp.f64 -2/3)))) (cbrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (neg.f64 (exp.f64 -2/3)) -1) (exp.f64 (-.f64 -1/3 x)))
(*.f64 (/.f64 (neg.f64 (exp.f64 -2/3)) (exp.f64 x)) (neg.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) 1) -1) (neg.f64 (exp.f64 (-.f64 -1/3 x))))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) 1) 1) (exp.f64 (-.f64 -1/3 x)))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) 1) (sqrt.f64 (exp.f64 x))) (/.f64 (exp.f64 -1/3) (sqrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) 1) (cbrt.f64 (exp.f64 (+.f64 x x)))) (/.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 x))))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) 1) (neg.f64 (exp.f64 x))) (neg.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) 1) (/.f64 (exp.f64 x) 1)) (exp.f64 -1/3))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) 1) (/.f64 (exp.f64 x) (sqrt.f64 (exp.f64 -1/3)))) (sqrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) 1) (/.f64 (exp.f64 x) (cbrt.f64 (exp.f64 -2/3)))) (cbrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) 1) (sqrt.f64 (exp.f64 (-.f64 -1/3 x))))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (exp.f64 -1/3)))
(*.f64 (/.f64 (/.f64 (exp.f64 -2/3) (sqrt.f64 (exp.f64 (+.f64 x 1/3)))) (sqrt.f64 (neg.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 -1/3))))
(.f64 (/.f64 (/.f64 (exp.f64 -2/3) (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2)))) 1) (cbrt.f64 (exp.f64 (-.f64 -1/3 x))))
(.f64 (/.f64 (/.f64 (exp.f64 -2/3) (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2)))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 -1/3)))
(.f64 (/.f64 (/.f64 (exp.f64 -2/3) (cbrt.f64 (exp.f64 (.f64 (+.f64 x 1/3) 2)))) (cbrt.f64 (neg.f64 (exp.f64 x)))) (cbrt.f64 (neg.f64 (exp.f64 -1/3))))
(pow.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (exp.f64 -1) (exp.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) 3) 1/3)
(pow.f64 (exp.f64 (+.f64 x 1)) -1)
(neg.f64 (*.f64 (exp.f64 (-.f64 -2/3 x)) (neg.f64 (exp.f64 -1/3))))
(sqrt.f64 (pow.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (exp.f64 -1) (exp.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (exp.f64 -1) (exp.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (exp.f64 -1) (exp.f64 x)) 3))
(cbrt.f64 (/.f64 (exp.f64 -2) (pow.f64 (exp.f64 (+.f64 x 1/3)) 3)))
(expm1.f64 (log1p.f64 (/.f64 (exp.f64 -1) (exp.f64 x))))
(exp.f64 (neg.f64 (+.f64 x 1)))
(exp.f64 (*.f64 (neg.f64 (+.f64 x 1)) 1))
(log1p.f64 (expm1.f64 (/.f64 (exp.f64 -1) (exp.f64 x))))

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

eval355.0ms (9.8%)

Compiler: Compiled 14009 to 10713 computations (23.5% saved)

prune121.0ms (3.3%)

Pruning

9 alts after pruning (3 fresh and 6 done)

	Pruned	Kept	Total
New	636	2	638
Fresh	0	1	1
Picked	1	0	1
Done	1	6	7
Total	638	9	647

Error

Counts

647 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	52.6b	(+.f64 1 (*.f64 x x))
	0.0b	(.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (.f64 (exp.f64 (-.f64 -1/3 x)) (exp.f64 -2/3)))
	0.0b	(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (expm1.f64 (log1p.f64 (/.f64 (exp.f64 -1) (exp.f64 x)))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 (+.f64 x 1)) x) (exp.f64 (-.f64 -1 x)))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.2b	(exp.f64 -1)
	52.7b	1

Compiler

Compiled 74 to 57 computations (23% saved)

regimes23.0ms (0.6%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

5 calls:

8.0ms	x
5.0ms	(*.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 141 to 101 computations (28.4% saved)

regimes58.0ms (1.6%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

5 calls:

46.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
4.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

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 53 to 33 computations (37.7% saved)

regimes9.0ms (0.2%)

Counts

4 → 1

Calls

Call 1

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

Outputs
(exp.f64 -1)

Calls

2 calls:

5.0ms	x
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.2b	1	`x`
1.2b	1	`(*.f64 x x)`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.2%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

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

Results

Error	Segments	Branch
52.6b	1	`x`
52.6b	1	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
2×	`1-exp`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	59
1	21	59

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)
(+.f64 1 (*.f64 x x))
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)
(+.f64 1 (*.f64 x x))
1

Compiler

Compiled 27 to 21 computations (22.2% saved)

soundness115.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Compiler

Compiled 36 to 22 computations (38.9% saved)

end33.0ms (0.9%)

Compiler: Compiled 23 to 16 computations (30.4% saved)

Details

analyze3.0ms (0.1%)

sample1.2s (34.2%)

preprocess46.0ms (1.3%)

simplify53.0ms (1.5%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite59.0ms (1.6%)

simplify64.0ms (1.8%)

eval24.0ms (0.7%)

prune11.0ms (0.3%)

localize3.0ms (0.1%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite67.0ms (1.8%)

simplify63.0ms (1.7%)

localize12.0ms (0.3%)

series2.0ms (0%)

rewrite66.0ms (1.8%)

simplify61.0ms (1.7%)

eval37.0ms (1%)

prune19.0ms (0.5%)

localize20.0ms (0.5%)

series2.0ms (0.1%)

rewrite69.0ms (1.9%)

simplify103.0ms (2.8%)

localize4.0ms (0.1%)

eval80.0ms (2.2%)

prune67.0ms (1.9%)

localize39.0ms (1.1%)

series1.0ms (0%)

rewrite73.0ms (2%)

simplify68.0ms (1.9%)

localize59.0ms (1.6%)

series7.0ms (0.2%)

rewrite353.0ms (9.7%)

simplify111.0ms (3.1%)

eval355.0ms (9.8%)

prune121.0ms (3.3%)

regimes23.0ms (0.6%)

regimes58.0ms (1.6%)

regimes9.0ms (0.2%)

regimes6.0ms (0.2%)

simplify7.0ms (0.2%)

soundness115.0ms (3.2%)

end33.0ms (0.9%)

Profiling