Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample760.0ms (19.4%)

Results

747.0ms	8256×	body	256	valid
1.0ms	11×	body	256	infinite

Bogosity

preprocess49.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify54.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 4

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

5 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	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))

rewrite58.0ms (1.5%)

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)))))

simplify62.0ms (1.6%)

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)

eval22.0ms (0.6%)

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

prune12.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	76	4	80
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	76	5	81

Error

0.0b

Counts

81 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x 1)) (+.f64 x -1))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
▶	0.0b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
▶	52.6b	(exp.f64 (*.f64 x x))
▶	1.0b	(exp.f64 -1)

Compiler

Compiled 33 to 25 computations (24.2% saved)

localize3.0ms (0.1%)

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

localize3.0ms (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)

series1.0ms (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))

rewrite51.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

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

Outputs

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

simplify63.0ms (1.6%)

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)

localize10.0ms (0.3%)

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 (0.1%)

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)))

rewrite78.0ms (2%)

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))))))))

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

simplify70.0ms (1.8%)

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))
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(/.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 (pow.f64 x 6) -1) (+.f64 (pow.f64 x 4) (+.f64 1 (*.f64 x x))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (+.f64 (pow.f64 x 4) (fma.f64 x 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 (.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 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 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 x))) (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x (-.f64 1 (neg.f64 x)))))
(/.f64 (+.f64 -1 (pow.f64 x 6)) (*.f64 (+.f64 1 (fma.f64 x x x)) (-.f64 (fma.f64 x x 1) x)))
(/.f64 (.f64 (sqrt.f64 (fma.f64 x x -1)) (.f64 (+.f64 x 1) (sqrt.f64 (+.f64 x -1)))) (sqrt.f64 (+.f64 x 1)))
(/.f64 (sqrt.f64 (fma.f64 x x -1)) (/.f64 (sqrt.f64 (+.f64 x 1)) (*.f64 (+.f64 x 1) (sqrt.f64 (+.f64 -1 x)))))
(/.f64 (.f64 (sqrt.f64 (+.f64 -1 x)) (.f64 (+.f64 x 1) (sqrt.f64 (fma.f64 x 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 (+.f64 x 1) (sqrt.f64 (+.f64 -1 x))) (/.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 (neg.f64 x)))) (sqrt.f64 (+.f64 -1 (pow.f64 x 3)))))
(.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 x 3))) (sqrt.f64 (+.f64 1 (fma.f64 x x x)))) (.f64 (+.f64 x 1) (sqrt.f64 (+.f64 -1 x))))
(/.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 (+.f64 -1 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 (+.f64 -1 x)) (sqrt.f64 (fma.f64 x x -1))))
(.f64 (/.f64 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (+.f64 -1 x))) (.f64 (+.f64 -1 x) (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 (+.f64 -1 x) (sqrt.f64 (+.f64 x 1))) (/.f64 (sqrt.f64 (fma.f64 x x (-.f64 1 x))) (sqrt.f64 (+.f64 1 (pow.f64 x 3)))))
(.f64 (/.f64 (hypot.f64 1 (pow.f64 x 3/2)) (sqrt.f64 (-.f64 (fma.f64 x x 1) x))) (.f64 (+.f64 -1 x) (sqrt.f64 (+.f64 x 1))))
(/.f64 (/.f64 (pow.f64 (fma.f64 x x -1) 2) 1) (fma.f64 x x -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))))
(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))))
(fma.f64 x x -1)
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) 1) (+.f64 x 1))
(fma.f64 x 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)))
(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))))
(fma.f64 x 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))
(fma.f64 x x -1)
(/.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)))
(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))))
(fma.f64 x 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)))
(fma.f64 x 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)))
(fma.f64 x 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)))
(fma.f64 x 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)))
(fma.f64 x x -1)
(/.f64 (/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) 1) (+.f64 x -1))
(fma.f64 x x -1)
(/.f64 (/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(fma.f64 x 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))
(fma.f64 x x -1)
(/.f64 (/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x -1)) 2)) (cbrt.f64 (+.f64 x -1)))
(fma.f64 x 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 -1 x) (/.f64 (+.f64 -1 (pow.f64 x 3)) (fma.f64 x x -1))) (/.f64 1 (fma.f64 x x (-.f64 1 (neg.f64 x)))))
(*.f64 (+.f64 1 (fma.f64 x x x)) (/.f64 (fma.f64 x x -1) (/.f64 (+.f64 -1 (pow.f64 x 3)) (+.f64 -1 x))))
(/.f64 (/.f64 (*.f64 (+.f64 x -1) (fma.f64 x x -1)) (+.f64 1 (sqrt.f64 x))) (-.f64 (sqrt.f64 x) 1))
(/.f64 (/.f64 (+.f64 -1 x) (/.f64 (+.f64 1 (sqrt.f64 x)) (fma.f64 x x -1))) (+.f64 (sqrt.f64 x) -1))
(*.f64 (/.f64 (fma.f64 x x -1) (+.f64 -1 (sqrt.f64 x))) (/.f64 (+.f64 -1 x) (+.f64 1 (sqrt.f64 x))))
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (sqrt.f64 (+.f64 x 1))) (sqrt.f64 (+.f64 x 1)))
(fma.f64 x 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))
(fma.f64 x x -1)
(/.f64 (/.f64 (*.f64 (+.f64 x 1) (fma.f64 x x -1)) (pow.f64 (cbrt.f64 (+.f64 x 1)) 2)) (cbrt.f64 (+.f64 x 1)))
(fma.f64 x 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 (+.f64 1 (pow.f64 x 3)) (fma.f64 x x -1))) 1) (fma.f64 x x (-.f64 1 x)))
(.f64 (-.f64 (fma.f64 x x 1) x) (.f64 (/.f64 (+.f64 x 1) (+.f64 1 (pow.f64 x 3))) (fma.f64 x 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 (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)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 47

Calls

Call 1

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

Outputs

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

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

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

924×	`associate-/l*`
844×	`*-commutative`
796×	`distribute-lft-in`
758×	`associate-/r*`
658×	`distribute-rgt-in`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	1657
1	355	1407
2	1276	1359
3	3515	1347

Stop Event

1×	node limit

Counts

71 → 93

Calls

Call 1

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

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

eval165.0ms (4.2%)

Compiler: Compiled 6108 to 4374 computations (28.4% saved)

prune57.0ms (1.5%)

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	390	5	395
Fresh	0	0	0
Picked	1	0	1
Done	0	4	4
Total	391	9	400

Error

Counts

400 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
▶	52.6b	(+.f64 1 (*.f64 x x))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (pow.f64 (E.f64) (+.f64 -1 x)))
▶	0.0b	(.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (exp.f64 x) (.f64 (+.f64 x -1) 1/2))) (.f64 (pow.f64 (E.f64) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (E.f64) (*.f64 (+.f64 x -1) 1/2))))
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.0b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 88 to 67 computations (23.9% saved)

localize70.0ms (1.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 95 to 66 computations (30.5% saved)

series9.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(.f64 (.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (exp.f64 x) (.f64 (+.f64 x -1) 1/2))) (.f64 (pow.f64 (E.f64) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (E.f64) (*.f64 (+.f64 x -1) 1/2))))
1.0ms	x	@	0	(.f64 (pow.f64 (E.f64) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (E.f64) (*.f64 (+.f64 x -1) 1/2)))
1.0ms	x	@	inf	(.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (exp.f64 x) (*.f64 (+.f64 x -1) 1/2)))
1.0ms	x	@	-inf	(.f64 (pow.f64 (exp.f64 x) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (exp.f64 x) (*.f64 (+.f64 x -1) 1/2)))
1.0ms	x	@	-inf	(.f64 (pow.f64 (E.f64) (.f64 (+.f64 x -1) 1/2)) (pow.f64 (E.f64) (*.f64 (+.f64 x -1) 1/2)))

rewrite81.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

754×	`associate-*r/`
736×	`distribute-rgt-in`
708×	`distribute-lft-in`
578×	`associate-*l/`
344×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	16	138
1	347	68
2	4362	68

Stop Event

1×	node limit

Counts

4 → 82

Calls

Call 1

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

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

simplify97.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

1430×	`fma-def`
698×	`*-commutative`
672×	`associate-*r/`
658×	`distribute-lft-in`
606×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	263	4386
1	665	2734
2	2276	2656
3	6500	2656

Stop Event

1×	node limit

Counts

130 → 166

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 3/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 3/2 (pow.f64 x 2)) (*.f64 -7/6 (pow.f64 x 3)))))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (exp.f64 -1/2) 2)
(+.f64 (*.f64 (pow.f64 (exp.f64 -1/2) 2) x) (pow.f64 (exp.f64 -1/2) 2))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/2) 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 (exp.f64 -1/2) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 -1/2) 2)))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/2) 2) x) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (exp.f64 -1/2) 2)) (.f64 1/8 (pow.f64 (exp.f64 -1/2) 2))) (pow.f64 x 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 -1/2) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 -1/2) 2))))
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 x 1))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 x 1))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 x 1))) 2)
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 x 1))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2)
(pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2)
(pow.f64 (exp.f64 -1/2) 2)
(+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 -1/2) 2) (.f64 -1 (pow.f64 (exp.f64 -1/2) 2))) x) (pow.f64 (exp.f64 -1/2) 2))
(+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 -1/2) 2) (.f64 -1 (pow.f64 (exp.f64 -1/2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 3/2 (pow.f64 (exp.f64 -1/2) 2)) (.f64 1/2 (pow.f64 (exp.f64 -1/2) 2)))) (pow.f64 x 2)) (pow.f64 (exp.f64 -1/2) 2)))
(+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 -1/2) 2) (.f64 -1 (pow.f64 (exp.f64 -1/2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 -7/6 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 -1/2 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 1/24 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 1/8 (pow.f64 (exp.f64 -1/2) 2)) (.f64 3/2 (pow.f64 (exp.f64 -1/2) 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 3/2 (pow.f64 (exp.f64 -1/2) 2)) (.f64 1/2 (pow.f64 (exp.f64 -1/2) 2)))) (pow.f64 x 2)) (pow.f64 (exp.f64 -1/2) 2))))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (-.f64 x 1))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (-.f64 x 1))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (-.f64 x 1))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (-.f64 x 1))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2))
(exp.f64 -1/2)
(+.f64 (exp.f64 -1/2) (.f64 1/2 (.f64 (exp.f64 -1/2) x)))
(+.f64 (exp.f64 -1/2) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/2) x)) (.f64 1/8 (.f64 (exp.f64 -1/2) (pow.f64 x 2)))))
(+.f64 (exp.f64 -1/2) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/2) x)) (+.f64 (.f64 1/48 (.f64 (exp.f64 -1/2) (pow.f64 x 3))) (.f64 1/8 (.f64 (exp.f64 -1/2) (pow.f64 x 2))))))
(exp.f64 (*.f64 1/2 (-.f64 x 1)))
(exp.f64 (*.f64 1/2 (-.f64 x 1)))
(exp.f64 (*.f64 1/2 (-.f64 x 1)))
(exp.f64 (*.f64 1/2 (-.f64 x 1)))
(exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x))))
(exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x))))
(exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x))))
(exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))) 1)
(pow.f64 (exp.f64 x) (+.f64 x -1))
(pow.f64 (pow.f64 (sqrt.f64 (exp.f64 x)) (+.f64 x -1)) 2)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 x) (+.f64 -2 (+.f64 x x))) 1/2)
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) 1/3)
(pow.f64 (pow.f64 (exp.f64 x) 2) (+.f64 (*.f64 x 1/2) -1/2))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) 1/2) (+.f64 x -1))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (sqrt.f64 (+.f64 (.f64 x 1/2) -1/2))) (sqrt.f64 (+.f64 (.f64 x 1/2) -1/2)))
(pow.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 x 1/2) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 x 1/2) -1/2)))
(pow.f64 (pow.f64 (exp.f64 x) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 x) (cbrt.f64 (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 x -1)))
(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 -2 (+.f64 x x))))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3))
(expm1.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(exp.f64 (*.f64 x (+.f64 x -1)))
(exp.f64 (.f64 (.f64 x (+.f64 (*.f64 x 1/2) -1/2)) 2))
(exp.f64 (.f64 (.f64 x (+.f64 x -1)) 1))
(exp.f64 (.f64 (log.f64 (pow.f64 (exp.f64 x) 2)) (+.f64 (.f64 x 1/2) -1/2)))
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (+.f64 x -1)))) 1)
(pow.f64 (E.f64) (+.f64 x -1))
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) 2)
(pow.f64 (exp.f64 (+.f64 x -1)) 1)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 2) 1/2)
(pow.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) 1/3)
(pow.f64 (exp.f64 2) (+.f64 (*.f64 x 1/2) -1/2))
(pow.f64 (exp.f64 (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (+.f64 x -1) 2))) (cbrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (exp.f64 2) 1/2) (+.f64 x -1))
(pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 (+.f64 (.f64 x 1/2) -1/2))) (sqrt.f64 (+.f64 (.f64 x 1/2) -1/2)))
(pow.f64 (pow.f64 (exp.f64 2) (pow.f64 (cbrt.f64 (+.f64 (.f64 x 1/2) -1/2)) 2)) (cbrt.f64 (+.f64 (.f64 x 1/2) -1/2)))
(pow.f64 (pow.f64 (E.f64) (sqrt.f64 (+.f64 x -1))) (sqrt.f64 (+.f64 x -1)))
(pow.f64 (pow.f64 (E.f64) (cbrt.f64 (pow.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))))
(exp.f64 (+.f64 x -1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 x -1))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1)))) 1)
(pow.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1)) 1)
(pow.f64 (sqrt.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1))) 2)
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1))) 3)
(pow.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1)) 3) 1/3)
(pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1))
(pow.f64 (.f64 (pow.f64 (exp.f64 x) 2) (exp.f64 2)) (+.f64 (.f64 x 1/2) -1/2))
(pow.f64 (*.f64 (E.f64) (exp.f64 x)) (+.f64 x -1))
(pow.f64 (.f64 (exp.f64 2) (pow.f64 (exp.f64 x) 2)) (+.f64 (.f64 x 1/2) -1/2))
(sqrt.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1)) 2))
(log.f64 (exp.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1))))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1)))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) (pow.f64 (exp.f64 (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3)))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1))))
(exp.f64 (+.f64 x (+.f64 -1 (*.f64 x (+.f64 x -1)))))
(exp.f64 (.f64 (+.f64 x (+.f64 -1 (.f64 x (+.f64 x -1)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (exp.f64 x) (E.f64)) (+.f64 x -1))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))))) 1)
(*.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) 1)
(*.f64 1 (sqrt.f64 (exp.f64 (+.f64 x -1))))
(*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 1/4) (pow.f64 (exp.f64 (+.f64 x -1)) 1/4))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(*.f64 (cbrt.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))) (cbrt.f64 (exp.f64 (+.f64 x -1))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 x -1))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 x -1)))))
(.f64 (pow.f64 1 (+.f64 (.f64 x 1/2) -1/2)) (sqrt.f64 (exp.f64 (+.f64 x -1))))
(.f64 (pow.f64 (sqrt.f64 (E.f64)) (+.f64 (.f64 x 1/2) -1/2)) (pow.f64 (sqrt.f64 (E.f64)) (+.f64 (*.f64 x 1/2) -1/2)))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (+.f64 (.f64 x 1/2) -1/2)) (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (*.f64 x 1/2) -1/2)))
(sqrt.f64 (exp.f64 (+.f64 x -1)))
(fabs.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))))))
(cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) 3))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(exp.f64 (+.f64 (*.f64 x 1/2) -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))

Outputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (neg.f64 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 3/2 (pow.f64 x 2))))
(+.f64 1 (fma.f64 -1 x (.f64 3/2 (.f64 x x))))
(+.f64 1 (-.f64 (.f64 x (.f64 x 3/2)) x))
(-.f64 (fma.f64 x (*.f64 x 3/2) 1) x)
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 3/2 (pow.f64 x 2)) (*.f64 -7/6 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 -1 x (fma.f64 3/2 (.f64 x x) (.f64 -7/6 (pow.f64 x 3)))))
(+.f64 1 (-.f64 (fma.f64 3/2 (.f64 x x) (.f64 -7/6 (pow.f64 x 3))) x))
(+.f64 (-.f64 1 x) (.f64 (.f64 x x) (+.f64 3/2 (*.f64 x -7/6))))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 -1 x))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 -1 x))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 -1 x))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 -1 x))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 -1 x))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 -1 x))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 -1 x))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (*.f64 -1 x)) x))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (*.f64 x (+.f64 -1 x))) 2)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(pow.f64 (exp.f64 -1/2) 2)
(exp.f64 -1)
(+.f64 (*.f64 (pow.f64 (exp.f64 -1/2) 2) x) (pow.f64 (exp.f64 -1/2) 2))
(fma.f64 (pow.f64 (exp.f64 -1/2) 2) x (pow.f64 (exp.f64 -1/2) 2))
(*.f64 (+.f64 x 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (+.f64 1 x))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/2) 2) x) (+.f64 (.f64 1/2 (*.f64 (pow.f64 (exp.f64 -1/2) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 -1/2) 2)))
(fma.f64 (pow.f64 (exp.f64 -1/2) 2) x (fma.f64 1/2 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1/2) 2)) (pow.f64 (exp.f64 -1/2) 2)))
(fma.f64 x (exp.f64 -1) (fma.f64 (.f64 1/2 (exp.f64 -1)) (.f64 x x) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (+.f64 1 x) (.f64 x (*.f64 x 1/2))))
(+.f64 (.f64 (pow.f64 (exp.f64 -1/2) 2) x) (+.f64 (.f64 (+.f64 (.f64 1/24 (pow.f64 (exp.f64 -1/2) 2)) (.f64 1/8 (pow.f64 (exp.f64 -1/2) 2))) (pow.f64 x 3)) (+.f64 (.f64 1/2 (.f64 (pow.f64 (exp.f64 -1/2) 2) (pow.f64 x 2))) (pow.f64 (exp.f64 -1/2) 2))))
(fma.f64 (pow.f64 (exp.f64 -1/2) 2) x (fma.f64 (.f64 (pow.f64 (exp.f64 -1/2) 2) 1/6) (pow.f64 x 3) (fma.f64 1/2 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1/2) 2)) (pow.f64 (exp.f64 -1/2) 2))))
(fma.f64 x (exp.f64 -1) (fma.f64 (pow.f64 x 3) (.f64 (exp.f64 -1) 1/6) (fma.f64 (.f64 1/2 (exp.f64 -1)) (*.f64 x x) (exp.f64 -1))))
(fma.f64 (pow.f64 x 3) (.f64 (exp.f64 -1) 1/6) (.f64 (exp.f64 -1) (+.f64 (+.f64 1 x) (.f64 x (.f64 x 1/2)))))
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 x 1))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2)
(exp.f64 (+.f64 -1 x))
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 x 1))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2)
(exp.f64 (+.f64 -1 x))
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 x 1))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2)
(exp.f64 (+.f64 -1 x))
(pow.f64 (exp.f64 (*.f64 1/2 (-.f64 x 1))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2)
(exp.f64 (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2)
(exp.f64 (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2)
(exp.f64 (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2)
(exp.f64 (+.f64 -1 x))
(pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2)
(pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2)
(exp.f64 (+.f64 -1 x))
(pow.f64 (exp.f64 -1/2) 2)
(exp.f64 -1)
(+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 -1/2) 2) (.f64 -1 (pow.f64 (exp.f64 -1/2) 2))) x) (pow.f64 (exp.f64 -1/2) 2))
(pow.f64 (exp.f64 -1/2) 2)
(exp.f64 -1)
(+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 -1/2) 2) (.f64 -1 (pow.f64 (exp.f64 -1/2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 3/2 (pow.f64 (exp.f64 -1/2) 2)) (.f64 1/2 (pow.f64 (exp.f64 -1/2) 2)))) (pow.f64 x 2)) (pow.f64 (exp.f64 -1/2) 2)))
(fma.f64 (.f64 0 (pow.f64 (exp.f64 -1/2) 2)) x (fma.f64 (fma.f64 -1 (pow.f64 (exp.f64 -1/2) 2) (.f64 (pow.f64 (exp.f64 -1/2) 2) 2)) (*.f64 x x) (pow.f64 (exp.f64 -1/2) 2)))
(fma.f64 x 0 (fma.f64 (.f64 x x) (.f64 (exp.f64 -1) 1) (exp.f64 -1)))
(fma.f64 x (*.f64 x (exp.f64 -1)) (exp.f64 -1))
(+.f64 (.f64 (+.f64 (pow.f64 (exp.f64 -1/2) 2) (.f64 -1 (pow.f64 (exp.f64 -1/2) 2))) x) (+.f64 (.f64 (+.f64 (.f64 -7/6 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 -1/2 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 1/24 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 1/8 (pow.f64 (exp.f64 -1/2) 2)) (.f64 3/2 (pow.f64 (exp.f64 -1/2) 2)))))) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 (.f64 -1 (pow.f64 (exp.f64 -1/2) 2)) (+.f64 (.f64 3/2 (pow.f64 (exp.f64 -1/2) 2)) (.f64 1/2 (pow.f64 (exp.f64 -1/2) 2)))) (pow.f64 x 2)) (pow.f64 (exp.f64 -1/2) 2))))
(fma.f64 (.f64 0 (pow.f64 (exp.f64 -1/2) 2)) x (fma.f64 (fma.f64 -1 (pow.f64 (exp.f64 -1/2) 2) (.f64 (pow.f64 (exp.f64 -1/2) 2) 2)) (*.f64 x x) (pow.f64 (exp.f64 -1/2) 2)))
(fma.f64 x 0 (fma.f64 (.f64 x x) (.f64 (exp.f64 -1) 1) (exp.f64 -1)))
(fma.f64 x (*.f64 x (exp.f64 -1)) (exp.f64 -1))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (-.f64 x 1))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 -1 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 1 x))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (-.f64 x 1))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 -1 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 1 x))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (-.f64 x 1))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 -1 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 1 x))
(.f64 (pow.f64 (exp.f64 (.f64 1/2 (.f64 (-.f64 x 1) x))) 2) (pow.f64 (exp.f64 (.f64 1/2 (-.f64 x 1))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 -1 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 1 x))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 -1 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 1 x))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 -1 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 1 x))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 -1 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 1 x))
(.f64 (pow.f64 (exp.f64 (.f64 -1/2 (.f64 (+.f64 1 (.f64 -1 x)) x))) 2) (pow.f64 (exp.f64 (.f64 -1/2 (+.f64 1 (.f64 -1 x)))) 2))
(.f64 (pow.f64 (pow.f64 (exp.f64 1/2) (.f64 x (+.f64 -1 x))) 2) (pow.f64 (pow.f64 (exp.f64 1/2) (+.f64 -1 x)) 2))
(exp.f64 (*.f64 (+.f64 x 1) (+.f64 -1 x)))
(pow.f64 (exp.f64 (+.f64 -1 x)) (+.f64 1 x))
(exp.f64 -1/2)
(+.f64 (exp.f64 -1/2) (.f64 1/2 (.f64 (exp.f64 -1/2) x)))
(+.f64 (exp.f64 -1/2) (.f64 1/2 (.f64 x (exp.f64 -1/2))))
(fma.f64 1/2 (*.f64 x (exp.f64 -1/2)) (exp.f64 -1/2))
(.f64 (+.f64 (.f64 x 1/2) 1) (exp.f64 -1/2))
(+.f64 (exp.f64 -1/2) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/2) x)) (.f64 1/8 (.f64 (exp.f64 -1/2) (pow.f64 x 2)))))
(+.f64 (exp.f64 -1/2) (fma.f64 1/2 (.f64 x (exp.f64 -1/2)) (.f64 1/8 (.f64 (.f64 x x) (exp.f64 -1/2)))))
(+.f64 (exp.f64 -1/2) (fma.f64 1/2 (.f64 x (exp.f64 -1/2)) (.f64 (.f64 x x) (.f64 (exp.f64 -1/2) 1/8))))
(+.f64 (exp.f64 -1/2) (.f64 (exp.f64 -1/2) (+.f64 (.f64 x 1/2) (.f64 (.f64 x x) 1/8))))
(+.f64 (exp.f64 -1/2) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1/2) x)) (+.f64 (.f64 1/48 (.f64 (exp.f64 -1/2) (pow.f64 x 3))) (.f64 1/8 (.f64 (exp.f64 -1/2) (pow.f64 x 2))))))
(+.f64 (exp.f64 -1/2) (fma.f64 1/2 (.f64 x (exp.f64 -1/2)) (fma.f64 1/48 (.f64 (pow.f64 x 3) (exp.f64 -1/2)) (.f64 1/8 (.f64 (*.f64 x x) (exp.f64 -1/2))))))
(+.f64 (exp.f64 -1/2) (fma.f64 1/2 (.f64 x (exp.f64 -1/2)) (fma.f64 1/8 (.f64 (.f64 x x) (exp.f64 -1/2)) (.f64 (exp.f64 -1/2) (*.f64 (pow.f64 x 3) 1/48)))))
(+.f64 (.f64 (+.f64 (.f64 x 1/2) 1) (exp.f64 -1/2)) (.f64 (exp.f64 -1/2) (+.f64 (.f64 (.f64 x x) 1/8) (.f64 (pow.f64 x 3) 1/48))))
(exp.f64 (*.f64 1/2 (-.f64 x 1)))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(exp.f64 (*.f64 1/2 (-.f64 x 1)))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(exp.f64 (*.f64 1/2 (-.f64 x 1)))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(exp.f64 (*.f64 1/2 (-.f64 x 1)))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
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(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x))) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x)))))
(*.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x))) (sqrt.f64 (cbrt.f64 (exp.f64 (+.f64 -1 x)))))
(.f64 (pow.f64 1 (+.f64 (.f64 x 1/2) -1/2)) (sqrt.f64 (exp.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(.f64 (pow.f64 (sqrt.f64 (E.f64)) (+.f64 (.f64 x 1/2) -1/2)) (pow.f64 (sqrt.f64 (E.f64)) (+.f64 (*.f64 x 1/2) -1/2)))
(pow.f64 (sqrt.f64 (E.f64)) (*.f64 2 (fma.f64 x 1/2 -1/2)))
(pow.f64 (sqrt.f64 (E.f64)) (+.f64 -1 x))
(.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (+.f64 (.f64 x 1/2) -1/2)) (pow.f64 (cbrt.f64 (E.f64)) (+.f64 (*.f64 x 1/2) -1/2)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 2)) (fma.f64 x 1/2 -1/2)) (pow.f64 (cbrt.f64 (E.f64)) (fma.f64 x 1/2 -1/2)))
(sqrt.f64 (exp.f64 (+.f64 x -1)))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(fabs.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(log.f64 (exp.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))))))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(cbrt.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 x -1))) 3))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(exp.f64 (+.f64 (*.f64 x 1/2) -1/2))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (exp.f64 (+.f64 x -1)))))
(pow.f64 (exp.f64 1/2) (+.f64 -1 x))
(exp.f64 (fma.f64 x 1/2 -1/2))

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 32 to 19 computations (40.6% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

1412×	`unswap-sqr`
772×	`swap-sqr`
564×	`associate-*r/`
534×	`distribute-rgt-in`
504×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	57
1	258	51
2	3283	51

Stop Event

1×	node limit

Counts

3 → 123

Calls

Call 1

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

Outputs

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

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

simplify109.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

800×	`distribute-lft-in`
782×	`distribute-rgt-in`
748×	`associate-r`
724×	`associate-l`
650×	`associate-*r/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	357	6039
1	1015	4275
2	3182	4205

Stop Event

1×	node limit

Counts

159 → 208

Calls

Call 1

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

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

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 11 to 5 computations (54.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite310.0ms (7.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1170×	`add-sqr-sqrt`
1150×	`*-un-lft-identity`
1100×	`pow1`
1078×	`add-cube-cbrt`
1070×	`add-cbrt-cube`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	122	9
2	1514	9

Stop Event

1×	node limit

Counts

1 → 30

Calls

Call 1

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

Outputs

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

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Rules

1154×	`associate--l-`
946×	`associate-/r*`
942×	`+-commutative`
762×	`associate-r`
588×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	76	592
1	181	542
2	594	542
3	2692	542
4	7742	542

Stop Event

1×	node limit

Counts

42 → 35

Calls

Call 1

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

Outputs
1
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(pow.f64 x 2)
(*.f64 x x)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(+.f64 1 (pow.f64 x 2))
(fma.f64 x x 1)
(-.f64 (+.f64 1 (fma.f64 x x 1)) 1)
(fma.f64 x x 1)
(-.f64 (/.f64 1 (-.f64 1 (.f64 x x))) (/.f64 (pow.f64 x 4) (-.f64 1 (.f64 x x))))
(fma.f64 x x 1)
(*.f64 1 (fma.f64 x x 1))
(fma.f64 x x 1)
(*.f64 (fma.f64 x x 1) 1)
(fma.f64 x x 1)
(*.f64 (hypot.f64 1 x) (hypot.f64 1 x))
(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 1 (pow.f64 x 4)) (/.f64 1 (-.f64 1 (.f64 x x))))
(fma.f64 x x 1)
(.f64 (+.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 x 6)) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 1 (/.f64 (-.f64 1 (*.f64 x x)) (-.f64 1 (pow.f64 x 4))))
(fma.f64 x x 1)
(/.f64 1 (/.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))) (+.f64 1 (pow.f64 x 6))))
(.f64 (+.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 x 6)) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (-.f64 1 (pow.f64 x 4)) (-.f64 1 (*.f64 x x)))
(fma.f64 x x 1)
(/.f64 (+.f64 1 (pow.f64 x 6)) (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x))))
(.f64 (+.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x 4) (.f64 x 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 (pow.f64 x 4) (-.f64 1 (*.f64 x x))))
(.f64 (+.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 x 6)) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(/.f64 (-.f64 (pow.f64 x 4) 1) (-.f64 (*.f64 x x) 1))
(fma.f64 x x 1)
(/.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (neg.f64 (-.f64 1 (*.f64 x x))))
(fma.f64 x x 1)
(/.f64 (neg.f64 (+.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 x 4) (*.f64 x x)))))
(.f64 (+.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 x 4) (.f64 x x)))))
(/.f64 (+.f64 1 (pow.f64 x 6)) (-.f64 (pow.f64 x 4) (fma.f64 x x -1)))
(pow.f64 (fma.f64 x x 1) 1)
(fma.f64 x x 1)
(pow.f64 (hypot.f64 1 x) 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)
(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 (log1p.f64 (*.f64 x x)))
(log1p.f64 (expm1.f64 (fma.f64 x x 1)))
(fma.f64 x x 1)
(fma.f64 1 (*.f64 x x) 1)
(fma.f64 x x 1)
(fma.f64 x x 1)
(fma.f64 (cbrt.f64 (pow.f64 x 4)) (pow.f64 (cbrt.f64 x) 2) 1)

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 22 to 16 computations (27.3% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite63.0ms (1.6%)

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

Outputs

((#(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))))))))

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

simplify111.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

1454×	`associate-*r/`
1248×	`unswap-sqr`
792×	`associate-+r+`
768×	`*-commutative`
716×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	3106
1	525	2182
2	1822	2088
3	5274	2088

Stop Event

1×	node limit

Counts

94 → 122

Calls

Call 1

Inputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) x))
(+.f64 (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) x)))
(+.f64 (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (+.f64 (.f64 (exp.f64 -1) x) (.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 3))))))
(exp.f64 (-.f64 x 1))
(exp.f64 (-.f64 x 1))
(exp.f64 (-.f64 x 1))
(exp.f64 (-.f64 x 1))
(exp.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 (neg.f64 (+.f64 1 (*.f64 -1 x))))
(exp.f64 -1)
(+.f64 (*.f64 (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)))))
(-.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))))
(-.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))))

Outputs
(exp.f64 -1)
(+.f64 (exp.f64 -1) (*.f64 (exp.f64 -1) x))
(*.f64 (+.f64 x 1) (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 1/2 (.f64 (exp.f64 -1) (.f64 x x)) (*.f64 (+.f64 x 1) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (+.f64 x 1) (.f64 1/2 (*.f64 x x))))
(.f64 (exp.f64 -1) (+.f64 x (+.f64 1 (.f64 1/2 (*.f64 x x)))))
(+.f64 (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 2))) (+.f64 (exp.f64 -1) (+.f64 (.f64 (exp.f64 -1) x) (.f64 1/6 (*.f64 (exp.f64 -1) (pow.f64 x 3))))))
(fma.f64 1/2 (.f64 (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 1/2 (.f64 (exp.f64 -1) (.f64 x x)) (.f64 (+.f64 x 1) (exp.f64 -1))) (.f64 (exp.f64 -1) (*.f64 (pow.f64 x 3) 1/6)))
(fma.f64 (exp.f64 -1) (.f64 1/2 (.f64 x x)) (.f64 (exp.f64 -1) (+.f64 (+.f64 x 1) (.f64 1/6 (pow.f64 x 3)))))
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(*.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 (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 (.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 (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))

eval277.0ms (7.1%)

Compiler: Compiled 13523 to 9636 computations (28.7% saved)

prune166.0ms (4.2%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	572	2	574
Fresh	0	1	1
Picked	0	1	1
Done	1	6	7
Total	573	10	583

Error

Counts

583 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
✓	52.6b	(+.f64 1 (*.f64 x x))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (pow.f64 (E.f64) (+.f64 -1 x)))
▶	0.0b	(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 x)) (pow.f64 (E.f64) (+.f64 -1 x)))
▶	61.2b	(*.f64 x x)
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.0b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 72 to 52 computations (27.8% saved)

localize2.0ms (0.1%)

Compiler: Compiled 5 to 2 computations (60% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 38 to 15 computations (60.5% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite100.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1518×	`associate-*r/`
1170×	`associate-*l/`
1164×	`associate-/r*`
958×	`associate-/l*`
290×	`add-sqr-sqrt`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	73
1	281	57
2	3723	57

Stop Event

1×	node limit

Counts

3 → 202

Calls

Call 1

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

Outputs

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

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

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

simplify126.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

1442×	`distribute-lft-in`
1332×	`associate-/l*`
682×	`times-frac`
656×	`associate-/l/`
552×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	542	8348
1	1307	6678
2	6310	6672

Stop Event

1×	node limit

Counts

238 → 323

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 x))
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 3/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 3/2 (pow.f64 x 2)) (*.f64 -7/6 (pow.f64 x 3)))))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(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 (.f64 (-.f64 (exp.f64 -1) (*.f64 1/2 (exp.f64 -1))) (pow.f64 x 4)) (exp.f64 -1)))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (exp.f64 -1) (.f64 1/2 (exp.f64 -1))) (pow.f64 x 4)) (+.f64 (exp.f64 -1) (.f64 (-.f64 (+.f64 (.f64 1/6 (exp.f64 -1)) (.f64 1/4 (exp.f64 -1))) (.f64 1/2 (-.f64 (exp.f64 -1) (.f64 1/2 (exp.f64 -1))))) (pow.f64 x 6)))))
(/.f64 (*.f64 (exp.f64 (-.f64 x 1)) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 (-.f64 x 1)) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 (-.f64 x 1)) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (*.f64 (exp.f64 (-.f64 x 1)) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (.f64 (exp.f64 (.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (.f64 (exp.f64 (.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (.f64 (exp.f64 (.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(/.f64 (.f64 (exp.f64 (.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
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 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))) 1)
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 x)))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 1)
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (neg.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
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(/.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x -1)) (neg.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x -1)) (neg.f64 (pow.f64 (exp.f64 x) x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (neg.f64 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x -1)) (neg.f64 (pow.f64 (exp.f64 x) x))) (sqrt.f64 (neg.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 (/.f64 (.f64 (exp.f64 (+.f64 x -1)) (neg.f64 (pow.f64 (exp.f64 x) x))) (.f64 (cbrt.f64 (neg.f64 (exp.f64 x))) (cbrt.f64 (neg.f64 (exp.f64 x))))) (cbrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x -1)) (neg.f64 (pow.f64 (exp.f64 x) x))) (neg.f64 (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (*.f64 (exp.f64 (+.f64 x -1)) (neg.f64 (pow.f64 (exp.f64 x) x))) (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (+.f64 x -1))) -1) (exp.f64 x))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (+.f64 x -1))) 1) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (+.f64 x -1))) (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (+.f64 x -1))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (neg.f64 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (+.f64 x -1))) (sqrt.f64 (neg.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 (/.f64 (.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (+.f64 x -1))) (.f64 (cbrt.f64 (neg.f64 (exp.f64 x))) (cbrt.f64 (neg.f64 (exp.f64 x))))) (cbrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (+.f64 x -1))) (neg.f64 (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (+.f64 x -1))) (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) 1) 1) (exp.f64 x))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) 1) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (.f64 x x))) 1) (pow.f64 (E.f64) (.f64 x 1/2))) (pow.f64 (E.f64) (*.f64 x 1/2)))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) 1) (pow.f64 1 x)) (exp.f64 x))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) 1) (pow.f64 (sqrt.f64 (E.f64)) x)) (pow.f64 (sqrt.f64 (E.f64)) x))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) 1) (pow.f64 (cbrt.f64 (exp.f64 2)) x)) (pow.f64 (cbrt.f64 (E.f64)) x))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) (sqrt.f64 (exp.f64 x))) 1) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) (sqrt.f64 (exp.f64 x))) (cbrt.f64 (exp.f64 x))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) (sqrt.f64 (exp.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) 1) (cbrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (exp.f64 x)))) (sqrt.f64 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (.f64 (cbrt.f64 (cbrt.f64 (exp.f64 x))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (sqrt.f64 (exp.f64 x)))) (cbrt.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (/.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (cbrt.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x)))) -1) (exp.f64 x))
(/.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x)))) 1) (neg.f64 (exp.f64 x)))
(/.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x)))) (sqrt.f64 (exp.f64 x))) (neg.f64 (sqrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x)))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (neg.f64 (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x)))) (sqrt.f64 (neg.f64 (exp.f64 x)))) (sqrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 x -1) (.f64 x x)))) (.f64 (cbrt.f64 (neg.f64 (exp.f64 x))) (cbrt.f64 (neg.f64 (exp.f64 x))))) (cbrt.f64 (neg.f64 (exp.f64 x))))
(/.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x)))) (neg.f64 (sqrt.f64 (exp.f64 x)))) (sqrt.f64 (exp.f64 x)))
(/.f64 (/.f64 (neg.f64 (exp.f64 (+.f64 (+.f64 x -1) (*.f64 x x)))) (neg.f64 (pow.f64 (cbrt.f64 (exp.f64 x)) 2))) (cbrt.f64 (exp.f64 x)))
(pow.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x)))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))) 3)
(pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x)))) 2))
(log.f64 (exp.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x)))))))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x)))) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) (pow.f64 (exp.f64 (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))))
(exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))
(exp.f64 (.f64 (+.f64 -1 (+.f64 x (-.f64 (.f64 x x) x))) 1))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))))
(-.f64 (exp.f64 (log1p.f64 (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)) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 2 x))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 2 x))) (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)))
(log.f64 (+.f64 1 (expm1.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
1
(+.f64 1 (*.f64 -1 x))
(-.f64 1 x)
(+.f64 1 (+.f64 (.f64 -1 x) (.f64 3/2 (pow.f64 x 2))))
(+.f64 (-.f64 1 x) (.f64 3/2 (.f64 x x)))
(+.f64 1 (fma.f64 3/2 (*.f64 x x) (neg.f64 x)))
(+.f64 1 (+.f64 (.f64 -1 x) (+.f64 (.f64 3/2 (pow.f64 x 2)) (*.f64 -7/6 (pow.f64 x 3)))))
(+.f64 (-.f64 1 x) (fma.f64 3/2 (.f64 x x) (.f64 -7/6 (pow.f64 x 3))))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(exp.f64 (-.f64 (*.f64 x x) x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(exp.f64 (-.f64 (*.f64 x x) x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(exp.f64 (-.f64 (*.f64 x x) x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(exp.f64 (-.f64 (*.f64 x x) x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(exp.f64 (-.f64 (*.f64 x x) x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(exp.f64 (-.f64 (*.f64 x x) x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(exp.f64 (-.f64 (*.f64 x x) x))
(/.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 x))
(exp.f64 (-.f64 (*.f64 x x) x))
(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 (.f64 (-.f64 (exp.f64 -1) (*.f64 1/2 (exp.f64 -1))) (pow.f64 x 4)) (exp.f64 -1)))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 (+.f64 (exp.f64 -1) (.f64 -1/2 (exp.f64 -1))) (pow.f64 x 4) (exp.f64 -1)))
(+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 (*.f64 (exp.f64 -1) 1/2) (pow.f64 x 4)))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (.f64 (-.f64 (exp.f64 -1) (.f64 1/2 (exp.f64 -1))) (pow.f64 x 4)) (+.f64 (exp.f64 -1) (.f64 (-.f64 (+.f64 (.f64 1/6 (exp.f64 -1)) (.f64 1/4 (exp.f64 -1))) (.f64 1/2 (-.f64 (exp.f64 -1) (.f64 1/2 (exp.f64 -1))))) (pow.f64 x 6)))))
(fma.f64 (exp.f64 -1) (.f64 x x) (+.f64 (fma.f64 (+.f64 (exp.f64 -1) (.f64 -1/2 (exp.f64 -1))) (pow.f64 x 4) (exp.f64 -1)) (.f64 (+.f64 (.f64 (exp.f64 -1) 5/12) (.f64 -1/2 (+.f64 (exp.f64 -1) (.f64 -1/2 (exp.f64 -1))))) (pow.f64 x 6))))
(fma.f64 (.f64 x x) (exp.f64 -1) (fma.f64 (.f64 (exp.f64 -1) 1/2) (pow.f64 x 4) (fma.f64 (fma.f64 (exp.f64 -1) 5/12 (.f64 1/2 (.f64 (exp.f64 -1) -1/2))) (pow.f64 x 6) (exp.f64 -1))))
(/.f64 (*.f64 (exp.f64 (-.f64 x 1)) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (*.f64 (exp.f64 (-.f64 x 1)) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (*.f64 (exp.f64 (-.f64 x 1)) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (*.f64 (exp.f64 (-.f64 x 1)) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (.f64 (exp.f64 (.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (.f64 (exp.f64 (.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (.f64 (exp.f64 (.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(/.f64 (.f64 (exp.f64 (.f64 -1 (+.f64 1 (*.f64 -1 x)))) (exp.f64 (pow.f64 x 2))) (exp.f64 x))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
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 (+.f64 1 (.f64 x x)) (.f64 1/2 (pow.f64 x 4)))
(+.f64 1 (fma.f64 x x (*.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)))))
(+.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)))))
(exp.f64 (pow.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(pow.f64 (exp.f64 x) x)
(exp.f64 (pow.f64 x 2))
(pow.f64 (exp.f64 x) x)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)))) 1)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 (neg.f64 x)))
(exp.f64 (-.f64 (*.f64 x x) x))
(*.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 1)
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(*.f64 1 (pow.f64 (exp.f64 x) (+.f64 x -1)))
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (neg.f64 x))))
(exp.f64 (-.f64 (*.f64 x x) x))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 2 x))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 (neg.f64 x))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2))) (*.f64 (exp.f64 (neg.f64 x)) (cbrt.f64 (pow.f64 (exp.f64 x) x))))
(.f64 (exp.f64 (neg.f64 x)) (.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 x) x))))
(*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 2))
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))) 2) (cbrt.f64 (pow.f64 (exp.f64 x) (+.f64 x -1))))
(pow.f64 (exp.f64 x) (+.f64 -1 x))
(*.f64 (exp.f64 (neg.f64 x)) (pow.f64 (exp.f64 x) x))
(exp.f64 (-.f64 (*.f64 x x) x))
(*.f64 (neg.f64 (pow.f64 (exp.f64 x) x)) (/.f64 -1 (exp.f64 x)))
(exp.f64 (-.f64 (*.f64 x x) x))
(*.f64 (/.f64 1 (sqrt.f64 (exp.f64 x))) (/.f64 (pow.f64 (exp.f64 x) x) (sqrt.f64 (exp.f64 x))))
(exp.f64 (-.f64 (*.f64 x x) x))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (exp.f64 x)) 2)) (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (exp.f64 x))))
(/.f64 (/.f64 (pow.f64 (exp.f64 x) x) (cbrt.f64 (exp.f64 x))) (pow.f64 (cbrt.f64 (exp.f64 x)) 2))
(*.f64 (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) 1) (/.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (exp.f64 x)))
(exp.f64 (-.f64 (*.f64 x x) x))
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(fabs.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
(log.f64 (exp.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x)))))))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x)))) 3))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3) (pow.f64 (exp.f64 (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) 3) (pow.f64 (exp.f64 (+.f64 -1 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 x -1)) 3) (pow.f64 (pow.f64 (exp.f64 x) (+.f64 x -1)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) 3) (pow.f64 (exp.f64 (+.f64 -1 x)) 3)))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (.f64 (+.f64 -1 (+.f64 x (-.f64 (.f64 x x) x))) 1))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(log1p.f64 (expm1.f64 (exp.f64 (+.f64 -1 (+.f64 x (-.f64 (*.f64 x x) x))))))
(exp.f64 (-.f64 (+.f64 (*.f64 x x) (+.f64 -1 x)) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (exp.f64 x) x))) 1)
(pow.f64 (exp.f64 x) x)
(*.f64 (pow.f64 (exp.f64 x) x) 1)
(pow.f64 (exp.f64 x) x)
(*.f64 1 (pow.f64 (exp.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)))
(pow.f64 (exp.f64 x) x)
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 2 x))))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 2 x))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (.f64 x 2))) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(*.f64 (pow.f64 1 x) (pow.f64 (exp.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))
(*.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)))
(sqrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2)))
(fabs.f64 (pow.f64 (exp.f64 x) (/.f64 x 1)))
(log.f64 (exp.f64 (pow.f64 (exp.f64 x) x)))
(pow.f64 (exp.f64 x) x)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (exp.f64 x) x))))
(pow.f64 (exp.f64 x) x)
(cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 3))
(pow.f64 (exp.f64 x) x)
(expm1.f64 (log1p.f64 (pow.f64 (exp.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))
(pow.f64 (exp.f64 x) x)
(log1p.f64 (expm1.f64 (pow.f64 (exp.f64 x) x)))
(pow.f64 (exp.f64 x) x)

eval140.0ms (3.6%)

Compiler: Compiled 8322 to 4338 computations (47.9% saved)

prune63.0ms (1.6%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	417	0	417
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	417	10	427

Error

Counts

427 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(pow.f64 (exp.f64 (+.f64 x -1)) (+.f64 x 1))
✓	52.6b	(+.f64 1 (*.f64 x x))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) (+.f64 -1 x)) (pow.f64 (E.f64) (+.f64 -1 x)))
✓	0.0b	(*.f64 (/.f64 (pow.f64 (exp.f64 x) x) (exp.f64 x)) (pow.f64 (E.f64) (+.f64 -1 x)))
✓	61.2b	(*.f64 x x)
✓	0.0b	(exp.f64 (+.f64 (*.f64 x x) -1))
✓	0.0b	(exp.f64 (*.f64 (+.f64 x 1) (+.f64 x -1)))
✓	52.6b	(exp.f64 (*.f64 x x))
✓	1.0b	(exp.f64 -1)
	52.6b	1

Compiler

Compiled 72 to 52 computations (27.8% saved)

regimes21.0ms (0.5%)

Counts

13 → 1

Calls

Call 1

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

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

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
0.0b	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 138 to 89 computations (35.5% saved)

regimes18.0ms (0.5%)

Counts

10 → 1

Calls

Call 1

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

6.0ms	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 51 computations (36.3% saved)

regimes16.0ms (0.4%)

Counts

8 → 1

Calls

Call 1

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

5.0ms	x
3.0ms	(-.f64 1 (*.f64 x x))
3.0ms	(*.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 64 to 39 computations (39.1% saved)

regimes9.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(exp.f64 -1)

Calls

2 calls:

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

Results

Error	Segments	Branch
1.0b	1	`x`
1.0b	1	`(*.f64 x x)`

Compiler

Compiled 22 to 11 computations (50% saved)

regimes6.0ms (0.2%)

Accuracy

Total -8.6b remaining (-16.3%)

Threshold costs -8.6b (-16.3%)

Counts

3 → 1

Calls

Call 1

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

Outputs
1

Calls

2 calls:

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

Results

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

Compiler

Compiled 16 to 8 computations (50% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
2×	`e-exp-1`
2×	`1-exp`
2×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	83
1	28	83

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 34 to 27 computations (20.6% saved)

soundness183.0ms (4.7%)

Algorithm

2×	egg-herbie

Rules

1370×	`associate-+r+`
1144×	`associate-+l+`
974×	`associate-l`
960×	`associate-/r*`
924×	`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
0	152	1657
1	355	1407
2	1276	1359
3	3515	1347

Stop Event

1×	node limit
1×	node limit

Compiler

Compiled 308 to 208 computations (32.5% saved)

end48.0ms (1.2%)

Compiler: Compiled 30 to 23 computations (23.3% saved)

Details

analyze3.0ms (0.1%)

sample760.0ms (19.4%)

preprocess49.0ms (1.3%)

simplify54.0ms (1.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize6.0ms (0.2%)

series2.0ms (0.1%)

rewrite58.0ms (1.5%)

simplify62.0ms (1.6%)

eval22.0ms (0.6%)

prune12.0ms (0.3%)

localize3.0ms (0.1%)

localize3.0ms (0.1%)

series1.0ms (0%)

rewrite51.0ms (1.3%)

simplify63.0ms (1.6%)

localize10.0ms (0.3%)

series2.0ms (0.1%)

rewrite78.0ms (2%)

simplify70.0ms (1.8%)

localize12.0ms (0.3%)

series3.0ms (0.1%)

rewrite61.0ms (1.6%)

simplify66.0ms (1.7%)

eval165.0ms (4.2%)

prune57.0ms (1.5%)

localize70.0ms (1.8%)

series9.0ms (0.2%)

rewrite81.0ms (2.1%)

simplify97.0ms (2.5%)

localize17.0ms (0.4%)

series3.0ms (0.1%)

rewrite78.0ms (2%)

simplify109.0ms (2.8%)

localize4.0ms (0.1%)

series1.0ms (0%)

rewrite310.0ms (7.9%)

simplify78.0ms (2%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite63.0ms (1.6%)

simplify111.0ms (2.8%)

eval277.0ms (7.1%)

prune166.0ms (4.2%)

localize2.0ms (0.1%)

localize16.0ms (0.4%)

series5.0ms (0.1%)

rewrite100.0ms (2.5%)

simplify126.0ms (3.2%)

eval140.0ms (3.6%)

prune63.0ms (1.6%)

regimes21.0ms (0.5%)

regimes18.0ms (0.5%)

regimes16.0ms (0.4%)

regimes9.0ms (0.2%)

regimes6.0ms (0.2%)

simplify5.0ms (0.1%)

soundness183.0ms (4.7%)

end48.0ms (1.2%)

Profiling