Details

analyze5.0ms (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)

sample1.4s (26.4%)

Results

1.4s	8256×	body	256	valid
3.0ms	19×	body	256	infinite

Bogosity

preprocess139.0ms (2.6%)

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)

simplify98.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	2	2	4
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	3	2	5

Error

0.0b

Counts

5 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(exp.f64 (fma.f64 x x -1))
▶	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))

Compiler

Compiled 13 to 9 computations (30.8% saved)

localize7.0ms (0.1%)

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	@	inf	(exp.f64 (+.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))

rewrite123.0ms (2.3%)

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)))))

simplify66.0ms (1.2%)

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)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 12 to 7 computations (41.7% saved)

series0.0ms (0%)

Counts

1 → 4

Calls

3 calls:

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

rewrite57.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1168×	`add-sqr-sqrt`
1156×	`*-un-lft-identity`
1096×	`pow1`
1064×	`add-cube-cbrt`
1052×	`add-cbrt-cube`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	133	13
2	1427	13

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

simplify74.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

1126×	`associate-r`
916×	`fma-def`
866×	`associate-l`
822×	`*-commutative`
632×	`associate--l+`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	67	570
1	147	562
2	576	436
3	2714	422
4	4916	422
5	6998	422

Stop Event

1×	node limit

Counts

24 → 39

Calls

Call 1

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

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

eval101.0ms (1.9%)

Compiler: Compiled 1322 to 997 computations (24.6% saved)

prune15.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	112	7	119
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	113	8	121

Error

0.0b

Counts

121 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
	0.1b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.1b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
▶	52.6b	(exp.f64 (*.f64 x x))
▶	1.7b	(exp.f64 -1)

Compiler

Compiled 107 to 81 computations (24.3% saved)

localize11.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1514×	`add-sqr-sqrt`
1498×	`*-un-lft-identity`
1384×	`add-cube-cbrt`
1364×	`add-cbrt-cube`
1348×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	32
1	173	28
2	1938	28

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

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

Outputs

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

simplify88.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

1638×	`fma-def`
1250×	`associate-r`
1058×	`associate-l`
760×	`distribute-lft-in`
754×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	888
1	215	784
2	698	748
3	3588	738
4	7762	738

Stop Event

1×	node limit

Counts

52 → 61

Calls

Call 1

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

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

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))

rewrite56.0ms (1%)

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)))))))

simplify94.0ms (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 (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 25 to 18 computations (28% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite90.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1468×	`associate-*r/`
1182×	`associate-*l/`
882×	`*-commutative`
766×	`distribute-lft-in`
692×	`distribute-rgt-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	211	22
2	2685	22

Stop Event

1×	node limit

Counts

2 → 201

Calls

Call 1

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

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

simplify135.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1290×	`associate-/l*`
876×	`times-frac`
866×	`distribute-lft-in`
796×	`distribute-rgt-in`
736×	`associate-/r*`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	498	6103
1	1394	5053

Stop Event

1×	node limit

Counts

225 → 264

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

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite94.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	172	13
2	1898	13

Stop Event

1×	node limit

Counts

1 → 12

Calls

Call 1

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

Outputs

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

simplify115.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1006×	`+-commutative`
960×	`associate--l+`
918×	`fma-def`
908×	`*-commutative`
606×	`associate-r`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	51	414
1	113	406
2	395	382
3	1800	368
4	3664	368
5	5831	368

Stop Event

1×	node limit

Counts

24 → 28

Calls

Call 1

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

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

eval342.0ms (6.3%)

Compiler: Compiled 6323 to 4437 computations (29.8% saved)

prune137.0ms (2.5%)

Pruning

10 alts after pruning (4 fresh and 6 done)

	Pruned	Kept	Total
New	426	3	429
Fresh	1	1	2
Picked	0	1	1
Done	0	5	5
Total	427	10	437

Error

0.0b

Counts

437 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
▶	52.7b	(+.f64 1 (*.f64 x x))
▶	0.1b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.1b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.7b	(exp.f64 -1)
	52.7b	1

Compiler

Compiled 65 to 49 computations (24.6% saved)

localize14.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	0.1b	(expm1.f64 (fma.f64 x x -1))

Compiler

Compiled 20 to 13 computations (35% saved)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite146.0ms (2.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

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

simplify135.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

81 → 97

Calls

Call 1

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

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

localize21.0ms (0.4%)

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

localize19.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite119.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1024×	`associate-*r/`
876×	`*-commutative`
816×	`associate-*l/`
742×	`unswap-sqr`
574×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	34
1	212	24
2	2636	24

Stop Event

1×	node limit

Counts

2 → 70

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

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

simplify154.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1444×	`associate-*r/`
1248×	`unswap-sqr`
792×	`associate-+r+`
766×	`*-commutative`
714×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	3106
1	525	2182
2	1825	2088
3	5281	2088

Stop Event

1×	node limit

Counts

94 → 123

Calls

Call 1

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

eval120.0ms (2.2%)

Compiler: Compiled 3715 to 2922 computations (21.3% saved)

prune72.0ms (1.3%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	219	11	230

Error

Counts

230 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
✓	52.7b	(+.f64 1 (*.f64 x x))
✓	0.1b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
▶	0.1b	(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 x))) (+.f64 x 1)) (pow.f64 (exp.f64 (+.f64 -1 x)) (/.f64 (+.f64 x 1) 2)))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.1b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.7b	(exp.f64 -1)
	52.7b	1

Compiler

Compiled 86 to 66 computations (23.3% saved)

localize34.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 64 to 50 computations (21.9% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite84.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1606×	`associate-*l/`
774×	`distribute-lft-in`
638×	`associate-/r*`
482×	`associate-/r/`
418×	`associate-/l*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	15	124
1	325	88
2	3818	58

Stop Event

1×	node limit

Counts

4 → 95

Calls

Call 1

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

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

simplify135.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1542×	`fma-def`
1178×	`unswap-sqr`
1118×	`distribute-lft-in`
1088×	`distribute-rgt-in`
410×	`associate-+r+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	258	5281
1	655	4563
2	2323	4173

Stop Event

1×	node limit

Counts

143 → 154

Calls

Call 1

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

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

eval184.0ms (3.4%)

Compiler: Compiled 5528 to 4644 computations (16% saved)

prune48.0ms (0.9%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	197	1	198
Fresh	0	1	1
Picked	1	0	1
Done	0	9	9
Total	198	11	209

Error

Counts

209 → 11

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
	0.0b	(pow.f64 (exp.f64 (*.f64 2 (+.f64 -1 x))) (fma.f64 1/2 x 1/2))
✓	52.7b	(+.f64 1 (*.f64 x x))
✓	0.1b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.1b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.1b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.1b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.7b	(exp.f64 -1)
	52.7b	1

Compiler

Compiled 77 to 59 computations (23.4% saved)

regimes31.0ms (0.6%)

Counts

15 → 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))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(pow.f64 (exp.f64 (*.f64 2 (+.f64 -1 x))) (fma.f64 1/2 x 1/2))
(*.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 x))) (+.f64 x 1)) (pow.f64 (exp.f64 (+.f64 -1 x)) (/.f64 (+.f64 x 1) 2)))

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

Calls

5 calls:

12.0ms	(-.f64 1 (*.f64 x x))
8.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(neg.f64 (-.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 134 to 92 computations (31.3% saved)

regimes50.0ms (0.9%)

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))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))

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

Calls

5 calls:

10.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(neg.f64 (-.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 96 to 62 computations (35.4% saved)

regimes43.0ms (0.8%)

Counts

11 → 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))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))

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

Calls

5 calls:

31.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(neg.f64 (-.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 88 to 56 computations (36.4% saved)

regimes32.0ms (0.6%)

Counts

10 → 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))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

Outputs
(exp.f64 (fma.f64 x x -1))

Calls

5 calls:

20.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 80 to 50 computations (37.5% saved)

regimes18.0ms (0.3%)

Counts

7 → 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))))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))

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

Calls

5 calls:

8.0ms	x
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.1b	1	`(neg.f64 (-.f64 1 (*.f64 x x)))`
0.1b	1	`(-.f64 1 (*.f64 x x))`
0.1b	1	`(*.f64 x x)`

Compiler

Compiled 61 to 39 computations (36.1% saved)

regimes7.0ms (0.1%)

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:

4.0ms	x
2.0ms	(*.f64 x x)

Results

Error	Segments	Branch
1.7b	1	`x`
1.7b	1	`(*.f64 x x)`

Compiler

Compiled 19 to 11 computations (42.1% saved)

regimes6.0ms (0.1%)

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
52.7b	1	`x`
52.7b	1	`(*.f64 x x)`

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify23.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	116
1	30	116

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
(exp.f64 (fma.f64 x 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 50 to 38 computations (24% saved)

soundness156.0ms (2.9%)

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)

end382.0ms (7%)

Compiler: Compiled 43 to 30 computations (30.2% saved)

Details

analyze5.0ms (0.1%)

sample1.4s (26.4%)

preprocess139.0ms (2.6%)

simplify98.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.1%)

series1.0ms (0%)

rewrite123.0ms (2.3%)

simplify66.0ms (1.2%)

localize6.0ms (0.1%)

series0.0ms (0%)

rewrite57.0ms (1.1%)

simplify74.0ms (1.4%)

eval101.0ms (1.9%)

prune15.0ms (0.3%)

localize11.0ms (0.2%)

series2.0ms (0%)

rewrite63.0ms (1.2%)

simplify88.0ms (1.6%)

localize3.0ms (0.1%)

localize4.0ms (0.1%)

series0.0ms (0%)

rewrite56.0ms (1%)

simplify94.0ms (1.7%)

localize12.0ms (0.2%)

series2.0ms (0%)

rewrite90.0ms (1.7%)

simplify135.0ms (2.5%)

localize15.0ms (0.3%)

series1.0ms (0%)

rewrite94.0ms (1.7%)

simplify115.0ms (2.1%)

eval342.0ms (6.3%)

prune137.0ms (2.5%)

localize14.0ms (0.2%)

series1.0ms (0%)

rewrite146.0ms (2.7%)

simplify135.0ms (2.5%)

localize21.0ms (0.4%)

localize19.0ms (0.4%)

series2.0ms (0%)

rewrite119.0ms (2.2%)

simplify154.0ms (2.8%)

eval120.0ms (2.2%)

prune72.0ms (1.3%)

localize34.0ms (0.6%)

series5.0ms (0.1%)

rewrite84.0ms (1.6%)

simplify135.0ms (2.5%)

eval184.0ms (3.4%)

prune48.0ms (0.9%)

regimes31.0ms (0.6%)

regimes50.0ms (0.9%)

regimes43.0ms (0.8%)

regimes32.0ms (0.6%)

regimes18.0ms (0.3%)

regimes7.0ms (0.1%)

regimes6.0ms (0.1%)

simplify23.0ms (0.4%)

soundness156.0ms (2.9%)

end382.0ms (7%)

Profiling