Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.3s (32.4%)

Results

1.3s	8256×	body	256	valid
2.0ms	19×	body	256	infinite

Bogosity

preprocess99.0ms (2.5%)

Algorithm

2×	egg-herbie

Rules

658×	`div-sub_binary64`
631×	`fma-def_binary64`
417×	`times-frac_binary64`
408×	`associate-/l*_binary64`
382×	`fma-neg_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	50	9
3	111	7
4	236	7
5	531	7
6	1618	7
7	5638	7
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)

simplify134.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

658×	`div-sub_binary64`
631×	`fma-def_binary64`
417×	`times-frac_binary64`
408×	`associate-/l*_binary64`
382×	`fma-neg_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	19	9
2	50	9
3	111	7
4	236	7
5	531	7
6	1618	7
7	5638	7

Stop Event

1×	node limit

Counts

1 → 2

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 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize13.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 24 to 12 computations (50% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite120.0ms (3%)

Algorithm

1×	batch-egg-rewrite

Rules

606×	`pow1_binary64`
566×	`add-log-exp_binary64`
565×	`log1p-expm1-u_binary64`
565×	`expm1-log1p-u_binary64`
554×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	145	16
2	1848	16

Stop Event

1×	node limit

Counts

2 → 76

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (+.f64 -1 (.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (+.f64 -1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (E.f64) (exp.f64 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))) (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))) 2) (cbrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (exp.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (exp.f64 (+.f64 -1 (.f64 x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (E.f64) (pow.f64 (exp.f64 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (neg.f64 (exp.f64 (+.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 -1 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (+.f64 -1 (.f64 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (+.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (+.f64 -1 (.f64 x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 -1) (+.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) 2)) (cbrt.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (+.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (.f64 x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (+.f64 -1 (.f64 x x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (.f64 (.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 (.f64 x (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (.f64 -1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 -1 (.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) 2) (cbrt.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) 2) (neg.f64 (cbrt.f64 (+.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1 (.f64 x x))) (sqrt.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (+.f64 -1 (.f64 x x))) (neg.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (+.f64 -1 (.f64 x x)))))) (#(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 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) 2)) (cbrt.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (neg.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) 2)) (cbrt.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 -1 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(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 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))) (#(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 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))))) (#(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 (-.f64 0 (pow.f64 (+.f64 -1 (.f64 x x)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 -1 (.f64 x x)) 2) (.f64 0 (+.f64 -1 (.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x))) (.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 -1 (.f64 x x)) 2)) (+.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (.f64 (.f64 x (neg.f64 x)) (.f64 x (neg.f64 x)))) (-.f64 1 (.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -1 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (.f64 x (neg.f64 x))))))))

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 x (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (*.f64 x (neg.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (*.f64 x (neg.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 -1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (neg.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (*.f64 x x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) 2) (cbrt.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) 2) (neg.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (sqrt.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) (neg.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 1 (pow.f64 x 6)) (/.f64 1 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 -1 (*.f64 x x)))))) (#(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 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) 2)) (cbrt.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) 2)) (cbrt.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (+.f64 -1 (*.f64 x x)))) (sqrt.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))) (-.f64 1 (pow.f64 x 6))))))) (#(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 (-.f64 1 (pow.f64 x 6)) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(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 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(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 (-.f64 0 (pow.f64 (+.f64 -1 (*.f64 x x)) 3)) (+.f64 0 (+.f64 (pow.f64 (+.f64 -1 (*.f64 x x)) 2) (*.f64 0 (+.f64 -1 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (*.f64 x (neg.f64 x)) 3)) (+.f64 1 (-.f64 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x))) (*.f64 x (neg.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (+.f64 -1 (*.f64 x x)) 2)) (+.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (*.f64 x (neg.f64 x)) (*.f64 x (neg.f64 x)))) (-.f64 1 (*.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 x 6))) (+.f64 1 (+.f64 (*.f64 x x) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 1 (pow.f64 x 4))) (+.f64 1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 -1 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 -1 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 -1 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 -1 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 -1 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 -1 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (*.f64 x (neg.f64 x))))))))

simplify71.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

691×	`distribute-lft-out_binary64`
396×	`*-commutative_binary64`
367×	`associate-l_binary64`
348×	`fma-def_binary64`
342×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	26	245
1	65	207
2	161	195
3	501	188
4	2076	188
5	4170	188
6	6373	188

Stop Event

1×	node limit

Counts

100 → 90

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 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(*.f64 -1 (pow.f64 x 2))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1))))
(fma.f64 (exp.f64 -1) (.f64 1/6 (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (fma.f64 1/2 (pow.f64 x 4) (.f64 1/6 (pow.f64 x 6)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(*.f64 -1 (pow.f64 x 2))
(neg.f64 (*.f64 x x))
(*.f64 x (neg.f64 x))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))

eval39.0ms (1%)

Compiler: Compiled 1085 to 726 computations (33.1% saved)

prune17.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	85	5	90
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	6	91

Error

0.0b

Counts

91 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	63.5b	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
✓	0.0b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
▶	0.0b	(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
▶	0.8b	(exp.f64 -1)
▶	0.0b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
▶	52.6b	(exp.f64 (neg.f64 (*.f64 x (neg.f64 x))))

Compiler

Compiled 98 to 74 computations (24.5% saved)

localize11.0ms (0.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite77.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

807×	`pow1_binary64`
752×	`add-log-exp_binary64`
751×	`log1p-expm1-u_binary64`
751×	`expm1-log1p-u_binary64`
738×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	28
1	165	19
2	2069	19

Stop Event

1×	node limit

Counts

3 → 87

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (expm1.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) (+.f64 1 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1) (+.f64 (exp.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (fma.f64 x x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (exp.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))) (/.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 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 -1) (pow.f64 (exp.f64 x) x))))) (#(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 (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 (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 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (/.f64 1 (+.f64 1 (.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (/.f64 1 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 1 (.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1))) (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1))) (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (+.f64 1 (.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3)) (+.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2)) (-.f64 1 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (neg.f64 (+.f64 1 (*.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) (neg.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2) 1) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (fma.f64 x x -1)) 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 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(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 (sqrt.f64 (exp.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (fma.f64 x x -1)) 2)) (cbrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (fma.f64 x x -1))) (sqrt.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 x x -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (expm1.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))) (log.f64 (+.f64 1 (.f64 (expm1.f64 (fma.f64 x x -1)) (-.f64 (expm1.f64 (fma.f64 x x -1)) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))) (log.f64 (-.f64 1 (expm1.f64 (fma.f64 x x -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 (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 (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 (sqrt.f64 (fma.f64 x x -1)) (sqrt.f64 (fma.f64 x x -1)))))) (#(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 (-.f64 1 (pow.f64 x 4)) (/.f64 1 (-.f64 -1 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 x 1) (-.f64 x 1))))) (#(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 1 (/.f64 (-.f64 -1 (.f64 x x)) (-.f64 1 (pow.f64 x 4))))))) (#(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 (neg.f64 (.f64 x x)))))))) (#(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 -1 (pow.f64 x 6))) (neg.f64 (+.f64 1 (+.f64 (pow.f64 x 4) (.f64 x x)))))))) (#(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 (-.f64 (pow.f64 x 4) 1) (-.f64 (.f64 x 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 (pow.f64 (fma.f64 x x -1) 3) 1/3)))) (#(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 (sqrt.f64 (fma.f64 x x -1)) 2)))) (#(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 log1p.f64 (expm1.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 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 (fma.f64 x x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (fma.f64 x x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 2) (cbrt.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) (sqrt.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1) (+.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) (+.f64 1 (exp.f64 (fma.f64 x x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 2) 1) (+.f64 (exp.f64 (fma.f64 x x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (fma.f64 x x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (fma.f64 x x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (fma.f64 x x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (fma.f64 x x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (fma.f64 x x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (fma.f64 x x -1))))))))

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

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

simplify65.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

699×	`distribute-lft-out_binary64`
543×	`fma-def_binary64`
480×	`fma-neg_binary64`
415×	`*-commutative_binary64`
351×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	382
1	76	320
2	194	299
3	651	283
4	2618	281
5	6452	281

Stop Event

1×	node limit

Counts

123 → 109

Calls

Call 1

Inputs
(-.f64 (exp.f64 -1) 1)
(-.f64 (+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1)) 1)
(-.f64 (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))) 1)
(-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))) 1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(exp.f64 (-.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)

Outputs
(-.f64 (exp.f64 -1) 1)
(expm1.f64 -1)
(-.f64 (+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1)) 1)
(+.f64 (.f64 (exp.f64 -1) (.f64 x x)) (expm1.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (expm1.f64 -1))
(fma.f64 (fma.f64 x x 1) (exp.f64 -1) -1)
(fma.f64 (exp.f64 -1) (fma.f64 x x 1) -1)
(-.f64 (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))) 1)
(+.f64 (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))) -1)
(fma.f64 (exp.f64 -1) (.f64 x x) (+.f64 (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))) (expm1.f64 -1)))
(+.f64 -1 (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4)))))
(fma.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)) -1)
(-.f64 (+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))) 1)
(+.f64 (fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4))))) -1)
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (.f64 x x) (+.f64 (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4))) (expm1.f64 -1))))
(+.f64 (fma.f64 (fma.f64 x x 1) (exp.f64 -1) -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6)))))
(+.f64 -1 (.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (pow.f64 x 6)) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))))
(fma.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (fma.f64 1/2 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 6)))) -1)
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(expm1.f64 (+.f64 (*.f64 x x) -1))
(expm1.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(expm1.f64 (+.f64 (*.f64 x x) -1))
(expm1.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(expm1.f64 (+.f64 (*.f64 x x) -1))
(expm1.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(expm1.f64 (+.f64 (*.f64 x x) -1))
(expm1.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(expm1.f64 (+.f64 (*.f64 x x) -1))
(expm1.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(expm1.f64 (+.f64 (*.f64 x x) -1))
(expm1.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(expm1.f64 (+.f64 (*.f64 x x) -1))
(expm1.f64 (fma.f64 x x -1))
(-.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1)
(expm1.f64 (+.f64 (*.f64 x x) -1))
(expm1.f64 (fma.f64 x x -1))
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1))))
(fma.f64 (exp.f64 -1) (.f64 1/6 (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (.f64 1/6 (pow.f64 x 6)) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (fma.f64 1/2 (pow.f64 x 4) (.f64 1/6 (pow.f64 x 6)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
-1
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(pow.f64 x 2)
(*.f64 x x)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)
(-.f64 (pow.f64 x 2) 1)
(+.f64 (*.f64 x x) -1)
(fma.f64 x x -1)

localize6.0ms (0.1%)

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

localize55.0ms (1.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 5 computations (73.7% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

356×	`pow1_binary64`
344×	`add-sqr-sqrt_binary64`
338×	`*-un-lft-identity_binary64`
328×	`add-log-exp_binary64`
327×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	124	6
2	1571	1

Stop Event

1×	node limit

Counts

1 → 1

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

simplify72.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

829×	`associate-/l/_binary64`
684×	`fma-def_binary64`
676×	`associate-/r/_binary64`
586×	`associate-/l*_binary64`
393×	`*-commutative_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	95
1	44	89
2	102	85
3	280	85
4	1063	85
5	2912	85
6	3743	85
7	4692	85

Stop Event

1×	node limit

Counts

13 → 9

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))

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 x x (fma.f64 1/6 (pow.f64 x 6) 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)

localize33.0ms (0.8%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 36 to 21 computations (41.7% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite105.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

950×	`pow1_binary64`
891×	`add-log-exp_binary64`
888×	`log1p-expm1-u_binary64`
888×	`expm1-log1p-u_binary64`
100×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	196	14
2	2700	14

Stop Event

1×	node limit

Counts

2 → 88

Calls

Call 1

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

Outputs

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

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

simplify93.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

723×	`distribute-lft-out_binary64`
453×	`fma-neg_binary64`
399×	`*-commutative_binary64`
370×	`distribute-rgt-out_binary64`
341×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	302
1	60	262
2	145	238
3	462	224
4	1945	224
5	3890	224
6	5584	224
7	7510	224

Stop Event

1×	node limit

Counts

112 → 54

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))
(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))

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1))))
(fma.f64 (exp.f64 -1) (.f64 1/6 (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x 1))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (fma.f64 1/2 (pow.f64 x 4) (.f64 1/6 (pow.f64 x 6)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(*.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (fma.f64 x x 1)))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)))))
(fma.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6)) (fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1))))
(fma.f64 (exp.f64 -1) (.f64 1/6 (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x 1))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (fma.f64 1/2 (pow.f64 x 4) (.f64 1/6 (pow.f64 x 6)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

localize25.0ms (0.6%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 20 computations (47.4% saved)

series13.0ms (0.3%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
7.0ms	x	@	0	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
3.0ms	x	@	-inf	(exp.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))))
1.0ms	x	@	0	(exp.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))))
1.0ms	x	@	inf	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
0.0ms	x	@	inf	(exp.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))))

rewrite77.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

763×	`pow1_binary64`
710×	`add-log-exp_binary64`
710×	`log1p-expm1-u_binary64`
710×	`expm1-log1p-u_binary64`
693×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	163	16
2	1982	16

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify94.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

584×	`associate-*l/_binary64`
368×	`times-frac_binary64`
367×	`fma-def_binary64`
357×	`associate-/r*_binary64`
292×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	91	789
1	276	491
2	973	453
3	4418	409

Stop Event

1×	node limit

Counts

61 → 55

Calls

Call 1

Inputs
(exp.f64 (pow.f64 (sqrt.f64 -1) 2))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 2)))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 2)) (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 x 4) (-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/24 (.f64 (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1))))) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 x 4) (-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/24 (.f64 (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))))) (.f64 (-.f64 (+.f64 (.f64 1/48 (/.f64 (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1))) (+.f64 1/6 (+.f64 (.f64 1/720 (.f64 (sqrt.f64 -1) (+.f64 (.f64 720 (-.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))))) (+.f64 (.f64 -360 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (sqrt.f64 -1))) (.f64 30 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/24 (.f64 (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1))))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 6))))))
(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))
(exp.f64 (sqrt.f64 -1))
(+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 2)) (sqrt.f64 -1))))
(+.f64 (.f64 (exp.f64 (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 2)) (sqrt.f64 -1)))))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 2)) (sqrt.f64 -1))))))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))

Outputs
(exp.f64 (pow.f64 (sqrt.f64 -1) 2))
(exp.f64 -1)
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (*.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 2)))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 x x)))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 2)) (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 x 4) (-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/24 (.f64 (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1))))) (*.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))))))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) (-.f64 (+.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/24 (.f64 (sqrt.f64 -1) (-.f64 (.f64 24 (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 3 (pow.f64 (sqrt.f64 -1) 2)))))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)))))))
(fma.f64 (exp.f64 -1) (fma.f64 x x (.f64 (pow.f64 x 4) (+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 -1) (fma.f64 24 (-.f64 -1/8 (/.f64 -1/8 (sqrt.f64 -1))) 3)) -1/4) 5/8))) (exp.f64 -1))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 (pow.f64 x 4) (+.f64 (*.f64 (sqrt.f64 -1) (+.f64 1/8 (+.f64 -1/8 (/.f64 1/8 (sqrt.f64 -1))))) 3/8))))
(fma.f64 (exp.f64 -1) (fma.f64 (pow.f64 x 4) (+.f64 (.f64 (sqrt.f64 -1) (/.f64 1/8 (sqrt.f64 -1))) 3/8) (.f64 x x)) (exp.f64 -1))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (.f64 (pow.f64 x 4) (-.f64 (+.f64 1/2 (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/24 (.f64 (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))))) (.f64 (-.f64 (+.f64 (.f64 1/48 (/.f64 (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1))) (+.f64 1/6 (+.f64 (.f64 1/720 (.f64 (sqrt.f64 -1) (+.f64 (.f64 720 (-.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4))))) (+.f64 (.f64 -360 (/.f64 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))) (sqrt.f64 -1))) (.f64 30 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))))) (+.f64 (.f64 1/4 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/24 (.f64 (-.f64 (.f64 24 (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))))) (.f64 3 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (sqrt.f64 -1))))))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2)))) (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 6))))))
(+.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) (-.f64 (+.f64 (+.f64 1/2 (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/24 (.f64 (sqrt.f64 -1) (-.f64 (.f64 24 (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 3 (pow.f64 (sqrt.f64 -1) 2)))))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)))))) (.f64 (-.f64 (fma.f64 1/48 (/.f64 (-.f64 (.f64 24 (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 3 (pow.f64 (sqrt.f64 -1) 2))) (sqrt.f64 -1)) (+.f64 1/6 (fma.f64 1/720 (.f64 (sqrt.f64 -1) (fma.f64 720 (+.f64 (/.f64 1/48 (pow.f64 (sqrt.f64 -1) 3)) (-.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 4)))) (fma.f64 -360 (/.f64 (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 -1)) (/.f64 30 (pow.f64 (sqrt.f64 -1) 3))))) (+.f64 (/.f64 1/4 (pow.f64 (sqrt.f64 -1) 2)) (.f64 1/24 (.f64 (sqrt.f64 -1) (-.f64 (.f64 24 (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3)))) (/.f64 3 (pow.f64 (sqrt.f64 -1) 2))))))))) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2))) (*.f64 (exp.f64 (pow.f64 (sqrt.f64 -1) 2)) (pow.f64 x 6)))))
(+.f64 (exp.f64 -1) (fma.f64 (exp.f64 -1) (fma.f64 x x (.f64 (pow.f64 x 4) (+.f64 (fma.f64 1/24 (.f64 (sqrt.f64 -1) (fma.f64 24 (-.f64 -1/8 (/.f64 -1/8 (sqrt.f64 -1))) 3)) -1/4) 5/8))) (.f64 (fma.f64 1/48 (/.f64 (fma.f64 24 (-.f64 -1/8 (/.f64 -1/8 (sqrt.f64 -1))) 3) (sqrt.f64 -1)) (+.f64 (fma.f64 1/720 (.f64 (sqrt.f64 -1) (fma.f64 720 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (-.f64 (/.f64 -1/48 (sqrt.f64 -1)) 1/16)) (fma.f64 -360 (+.f64 (/.f64 -1/8 (sqrt.f64 -1)) -1/8) (/.f64 -30 (sqrt.f64 -1))))) (fma.f64 1/24 (.f64 (sqrt.f64 -1) (fma.f64 24 (-.f64 -1/8 (/.f64 -1/8 (sqrt.f64 -1))) 3)) -1/4)) 7/24)) (.f64 (exp.f64 -1) (pow.f64 x 6)))))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x (.f64 (pow.f64 x 4) (+.f64 (.f64 (sqrt.f64 -1) (+.f64 1/8 (+.f64 -1/8 (/.f64 1/8 (sqrt.f64 -1))))) 3/8))) (.f64 (fma.f64 1/48 (/.f64 (+.f64 0 (/.f64 3 (sqrt.f64 -1))) (sqrt.f64 -1)) (+.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/720 (+.f64 (fma.f64 720 (+.f64 (/.f64 -1/48 (sqrt.f64 -1)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5))) -45) (fma.f64 -360 (+.f64 -1/8 (/.f64 -1/8 (sqrt.f64 -1))) (/.f64 -30 (sqrt.f64 -1))))) (+.f64 1/8 (+.f64 -1/8 (/.f64 1/8 (sqrt.f64 -1)))))) 1/24)) (pow.f64 x 6)))))
(.f64 (exp.f64 -1) (+.f64 (+.f64 (fma.f64 (pow.f64 x 4) (+.f64 (.f64 (sqrt.f64 -1) (/.f64 1/8 (sqrt.f64 -1))) 3/8) (.f64 x x)) 1) (.f64 (+.f64 1/8 (+.f64 (.f64 (sqrt.f64 -1) (+.f64 (.f64 1/720 (+.f64 (+.f64 (/.f64 45 (sqrt.f64 -1)) 45) (+.f64 (/.f64 -45 (sqrt.f64 -1)) (+.f64 (/.f64 45 (pow.f64 (sqrt.f64 -1) 5)) -45)))) (/.f64 1/8 (sqrt.f64 -1)))) -7/48)) (pow.f64 x 6))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (sqrt.f64 -1))
(+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 2)) (sqrt.f64 -1))))
(+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (.f64 x x)))))
(fma.f64 1/2 (.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (sqrt.f64 -1)) (.f64 x x)) (exp.f64 (sqrt.f64 -1)))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (exp.f64 (sqrt.f64 -1)) (sqrt.f64 -1))) (exp.f64 (sqrt.f64 -1)))
(+.f64 (.f64 (exp.f64 (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 2)) (sqrt.f64 -1)))))
(fma.f64 (exp.f64 (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (*.f64 x x))))))
(fma.f64 (exp.f64 (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (-.f64 -1/8 (/.f64 -1/8 (sqrt.f64 -1)))) (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (sqrt.f64 -1)) (*.f64 x x)) (exp.f64 (sqrt.f64 -1))))
(fma.f64 1/2 (.f64 (.f64 x x) (/.f64 (exp.f64 (sqrt.f64 -1)) (sqrt.f64 -1))) (*.f64 (exp.f64 (sqrt.f64 -1)) (fma.f64 (pow.f64 x 4) (+.f64 -1/8 (/.f64 1/8 (sqrt.f64 -1))) 1)))
(+.f64 (.f64 (-.f64 (+.f64 (.f64 1/48 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 5)))) (.f64 1/16 (/.f64 1 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (-.f64 (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 2))) (.f64 1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)))))) (+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (*.f64 (exp.f64 (sqrt.f64 -1)) (pow.f64 x 2)) (sqrt.f64 -1))))))
(fma.f64 (+.f64 (/.f64 1/48 (pow.f64 (sqrt.f64 -1) 3)) (-.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 4)))) (.f64 (pow.f64 x 6) (exp.f64 (sqrt.f64 -1))) (fma.f64 (exp.f64 (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (-.f64 (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 2)) (/.f64 1/8 (pow.f64 (sqrt.f64 -1) 3)))) (+.f64 (exp.f64 (sqrt.f64 -1)) (.f64 1/2 (/.f64 (exp.f64 (sqrt.f64 -1)) (/.f64 (sqrt.f64 -1) (.f64 x x)))))))
(fma.f64 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (-.f64 (/.f64 -1/48 (sqrt.f64 -1)) 1/16)) (.f64 (pow.f64 x 6) (exp.f64 (sqrt.f64 -1))) (fma.f64 (exp.f64 (sqrt.f64 -1)) (.f64 (pow.f64 x 4) (-.f64 -1/8 (/.f64 -1/8 (sqrt.f64 -1)))) (fma.f64 1/2 (.f64 (/.f64 (exp.f64 (sqrt.f64 -1)) (sqrt.f64 -1)) (.f64 x x)) (exp.f64 (sqrt.f64 -1)))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (/.f64 (exp.f64 (sqrt.f64 -1)) (sqrt.f64 -1)))) (.f64 (exp.f64 (sqrt.f64 -1)) (+.f64 (*.f64 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (+.f64 (/.f64 -1/48 (sqrt.f64 -1)) -1/16)) (pow.f64 x 6)) (fma.f64 (pow.f64 x 4) (+.f64 -1/8 (/.f64 1/8 (sqrt.f64 -1))) 1))))
(+.f64 (.f64 1/2 (.f64 (.f64 x x) (/.f64 (exp.f64 (sqrt.f64 -1)) (sqrt.f64 -1)))) (.f64 (exp.f64 (sqrt.f64 -1)) (+.f64 (*.f64 (+.f64 (/.f64 1/16 (pow.f64 (sqrt.f64 -1) 5)) (+.f64 -1/16 (/.f64 -1/48 (sqrt.f64 -1)))) (pow.f64 x 6)) (fma.f64 (pow.f64 x 4) (+.f64 -1/8 (/.f64 1/8 (sqrt.f64 -1))) 1))))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (sqrt.f64 (fma.f64 x x -1)))
(exp.f64 (sqrt.f64 (-.f64 (pow.f64 x 2) 1)))
(exp.f64 (sqrt.f64 (+.f64 (*.f64 x x) -1)))
(exp.f64 (sqrt.f64 (fma.f64 x x -1)))

eval252.0ms (6.3%)

Compiler: Compiled 5714 to 4394 computations (23.1% saved)

prune93.0ms (2.3%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	334	4	338
Fresh	0	0	0
Picked	1	0	1
Done	1	4	5
Total	336	8	344

Error

0.0b

Counts

344 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
✓	0.8b	(exp.f64 -1)
▶	52.6b	(+.f64 1 (expm1.f64 (*.f64 x x)))
✓	0.0b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
✓	0.0b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
▶	52.6b	(fma.f64 x x 1)
	52.6b	1
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

Compiler

Compiled 53 to 41 computations (22.6% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

575×	`pow1_binary64`
528×	`add-log-exp_binary64`
528×	`log1p-expm1-u_binary64`
528×	`expm1-log1p-u_binary64`
514×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	130	15
2	1468	15

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

simplify61.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

479×	`fma-def_binary64`
476×	`distribute-rgt-out_binary64`
437×	`*-commutative_binary64`
416×	`associate-l_binary64`
351×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	31	246
1	78	218
2	199	200
3	595	195
4	2377	195
5	4635	195
6	5600	195

Stop Event

1×	node limit

Counts

50 → 44

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))
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))

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 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1)))
(fma.f64 x x (fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 4) 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)
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(*.f64 (fma.f64 x x 1) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 (*.f64 1/2 (exp.f64 -1)) (pow.f64 x 4)))
(+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 1/2 (*.f64 (pow.f64 x 4) (exp.f64 -1))))
(*.f64 (exp.f64 -1) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)))
(*.f64 (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) 1)) (exp.f64 -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 (pow.f64 x 6) (exp.f64 -1)) (+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 (.f64 1/2 (exp.f64 -1)) (pow.f64 x 4))))
(fma.f64 1/6 (.f64 (pow.f64 x 6) (exp.f64 -1)) (+.f64 (.f64 (fma.f64 x x 1) (exp.f64 -1)) (.f64 1/2 (.f64 (pow.f64 x 4) (exp.f64 -1)))))
(fma.f64 (fma.f64 x x 1) (exp.f64 -1) (.f64 (exp.f64 -1) (fma.f64 1/2 (pow.f64 x 4) (.f64 1/6 (pow.f64 x 6)))))
(*.f64 (exp.f64 -1) (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1))))
(*.f64 (fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) 1))) (exp.f64 -1))
(*.f64 (fma.f64 x x (fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 4) 1))) (exp.f64 -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))
(*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1))
(exp.f64 (+.f64 (*.f64 x x) -1))
(exp.f64 (fma.f64 x x -1))

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(expm1.f64 (*.f64 x x))

Compiler

Compiled 16 to 6 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (*.f64 x x))
0.0ms	x	@	inf	(expm1.f64 (*.f64 x x))
0.0ms	x	@	-inf	(expm1.f64 (*.f64 x x))

rewrite50.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

323×	`pow1_binary64`
315×	`associate-l_binary64`
311×	`add-sqr-sqrt_binary64`
304×	`*-un-lft-identity_binary64`
299×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	6
1	77	6
2	875	6

Stop Event

1×	node limit

Counts

1 → 58

Calls

Call 1

Inputs
(expm1.f64 (*.f64 x x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (exp.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 x x))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (exp.f64 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 1 (pow.f64 (exp.f64 x) x)))) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 1 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 (pow.f64 (exp.f64 x) x) 1)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) (*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 2) (cbrt.f64 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (*.f64 x x))) (sqrt.f64 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x x)))) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 4)) (*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x x)))) 2) (cbrt.f64 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 1/6) (*.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 1/6) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 1/4) (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 1/4) (*.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 1/4) (sqrt.f64 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) -1) (/.f64 1 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 1 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (expm1.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 5))) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 5/2)) (pow.f64 (expm1.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 3/2)) (pow.f64 (expm1.f64 (*.f64 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 5)) (pow.f64 (expm1.f64 (*.f64 x x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (expm1.f64 (*.f64 x x)) (pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 5)) 1/3) (cbrt.f64 (cbrt.f64 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 5/2) 1/3) (pow.f64 (expm1.f64 (*.f64 x x)) 1/6))))) (#(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)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 1 (pow.f64 (exp.f64 x) x))) (+.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 x) x) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 1 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) -1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (-.f64 1 (*.f64 (pow.f64 (exp.f64 x) x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -1) (+.f64 (pow.f64 (exp.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -1) (-.f64 (pow.f64 (exp.f64 x) x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) -1)) (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 1 (pow.f64 (exp.f64 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 x) x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (exp.f64 x) (*.f64 x 3)) -1) 1) (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) (+.f64 1 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2) -1) 1) (+.f64 (pow.f64 (exp.f64 x) x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (*.f64 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x x))))) (sqrt.f64 (log.f64 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (expm1.f64 (*.f64 x x))) 2))) (cbrt.f64 (log.f64 (expm1.f64 (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (expm1.f64 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (*.f64 x x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (*.f64 x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (*.f64 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (exp.f64 x) x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (pow.f64 (exp.f64 x) x) 2)) (cbrt.f64 (pow.f64 (exp.f64 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)) -1)))))

simplify90.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

857×	`associate-/l/_binary64`
617×	`distribute-rgt-out_binary64`
413×	`unswap-sqr_binary64`
382×	`distribute-lft-out_binary64`
361×	`sqr-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	112
1	57	106
2	130	106
3	389	106
4	1895	106
5	4330	106
6	4919	106
7	6216	106

Stop Event

1×	node limit

Counts

70 → 68

Calls

Call 1

Inputs
(pow.f64 x 2)
(+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))
(+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(-.f64 (exp.f64 (pow.f64 x 2)) 1)

Outputs
(pow.f64 x 2)
(*.f64 x x)
(+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))
(+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))
(fma.f64 x x (*.f64 1/2 (pow.f64 x 4)))
(fma.f64 1/2 (pow.f64 x 4) (*.f64 x x))
(+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (pow.f64 x 2) (.f64 1/2 (pow.f64 x 4))))
(fma.f64 1/6 (pow.f64 x 6) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x (*.f64 1/2 (pow.f64 x 4))))
(fma.f64 x x (fma.f64 1/2 (pow.f64 x 4) (*.f64 1/6 (pow.f64 x 6))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/2 (pow.f64 x 4) (*.f64 x x)))
(fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) (*.f64 x x)))
(+.f64 (.f64 1/6 (pow.f64 x 6)) (+.f64 (.f64 1/24 (pow.f64 x 8)) (+.f64 (pow.f64 x 2) (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 8) (+.f64 (.f64 x x) (.f64 1/2 (pow.f64 x 4)))))
(fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 8) (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) (*.f64 1/24 (pow.f64 x 8)))))
(fma.f64 x x (fma.f64 1/6 (pow.f64 x 6) (fma.f64 1/24 (pow.f64 x 8) (*.f64 1/2 (pow.f64 x 4)))))
(fma.f64 x x (fma.f64 1/6 (pow.f64 x 6) (*.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/24 1/2))))
(fma.f64 (pow.f64 x 4) (fma.f64 (pow.f64 x 4) 1/24 1/2) (fma.f64 1/6 (pow.f64 x 6) (*.f64 x x)))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(expm1.f64 (*.f64 x x))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(expm1.f64 (*.f64 x x))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(expm1.f64 (*.f64 x x))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(expm1.f64 (*.f64 x x))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(expm1.f64 (*.f64 x x))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(expm1.f64 (*.f64 x x))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(expm1.f64 (*.f64 x x))
(-.f64 (exp.f64 (pow.f64 x 2)) 1)
(expm1.f64 (*.f64 x x))

localize6.0ms (0.1%)

Compiler: Compiled 7 to 4 computations (42.9% saved)

eval58.0ms (1.5%)

Compiler: Compiled 1506 to 844 computations (44% saved)

prune31.0ms (0.8%)

Pruning

8 alts after pruning (4 fresh and 4 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	1	1
Picked	1	0	1
Done	2	4	6
Total	112	8	120

Error

0.0b

Counts

120 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
✓	0.8b	(exp.f64 -1)
✓	0.0b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
▶	52.6b	(+.f64 1 (*.f64 x x))
▶	0.0b	(exp.f64 (+.f64 -1 (*.f64 x x)))
▶	0.0b	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (exp.f64 -1))
	52.6b	1
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

Compiler

Compiled 57 to 44 computations (22.8% saved)

localize16.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize36.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 33 to 11 computations (66.7% saved)

series6.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite241.0ms (6%)

Algorithm

2×	egg-rewrite-iter-limit
2×	egg-rewrite
1×	batch-egg-rewrite

Rules

309×	`pow1_binary64`
309×	`pow1_binary64`
306×	`add-sqr-sqrt_binary64`
306×	`add-sqr-sqrt_binary64`
296×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	18
1	180	18
2	2652	18
0	5	9
1	110	1
2	1807	1
3	5821	1
0	5	9
1	110	1
0	9	16
1	180	16
2	2652	16
0	9	16

Stop Event

1×	iter limit
1×	node limit
1×	iter limit
1×	unsound
1×	node limit

Counts

2 → 7

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 1)))))

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

simplify57.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

775×	`distribute-rgt-out_binary64`
570×	`fma-def_binary64`
487×	`distribute-lft-out_binary64`
463×	`associate-l_binary64`
376×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	35	329
1	86	323
2	208	285
3	668	272
4	2848	256
5	5324	240

Stop Event

1×	node limit

Counts

31 → 24

Calls

Call 1

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

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

localize4.0ms (0.1%)

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

eval62.0ms (1.5%)

Compiler: Compiled 1518 to 1136 computations (25.2% saved)

prune21.0ms (0.5%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	114	9	123

Error

0.0b

Counts

123 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(-.f64 (+.f64 1 (exp.f64 (+.f64 -1 (*.f64 x x)))) 1)
✓	0.8b	(exp.f64 -1)
✓	0.0b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
✓	52.6b	(+.f64 1 (*.f64 x x))
✓	0.0b	(exp.f64 (+.f64 -1 (*.f64 x x)))
✓	0.0b	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (exp.f64 -1))
	52.6b	1
	52.6b	(exp.f64 (*.f64 x x))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

Compiler

Compiled 62 to 47 computations (24.2% saved)

regimes36.0ms (0.9%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

9 calls:

8.0ms	x
5.0ms	(*.f64 x x)
4.0ms	(*.f64 x x)
3.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
3.0ms	(-.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	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.0b	1	`(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 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 143 to 90 computations (37.1% saved)

regimes70.0ms (1.8%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

9 calls:

41.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
7.0ms	x
4.0ms	(*.f64 x x)
3.0ms	(*.f64 x x)
2.0ms	(-.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	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.0b	1	`(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 1 (*.f64 x x))`
0.0b	1	`(*.f64 x x)`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 119 to 76 computations (36.1% saved)

regimes52.0ms (1.3%)

Counts

11 → 1

Calls

Call 1

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

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

Calls

8 calls:

23.0ms	(-.f64 1 (*.f64 x x))
11.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

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

Compiler

Compiled 108 to 69 computations (36.1% saved)

regimes8.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

Outputs
(exp.f64 -1)

Calls

2 calls:

4.0ms	x
3.0ms	(*.f64 x x)

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`(*.f64 x x)`

Compiler

Compiled 23 to 13 computations (43.5% saved)

regimes19.0ms (0.5%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

2 → 1

Calls

Call 1

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

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

Calls

2 calls:

16.0ms	x
2.0ms	(*.f64 x x)

Results

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	22	47

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

soundness0.0ms (0%)

end40.0ms (1%)

Compiler: Compiled 32 to 21 computations (34.4% saved)

Details

analyze4.0ms (0.1%)

sample1.3s (32.4%)

preprocess99.0ms (2.5%)

simplify134.0ms (3.4%)

eval1.0ms (0%)

prune1.0ms (0%)

localize13.0ms (0.3%)

series3.0ms (0.1%)

rewrite120.0ms (3%)

simplify71.0ms (1.8%)

eval39.0ms (1%)

prune17.0ms (0.4%)

localize11.0ms (0.3%)

series3.0ms (0.1%)

rewrite77.0ms (1.9%)

simplify65.0ms (1.6%)

localize6.0ms (0.1%)

localize55.0ms (1.4%)

series2.0ms (0%)

rewrite70.0ms (1.8%)

simplify72.0ms (1.8%)

localize33.0ms (0.8%)

series3.0ms (0.1%)

rewrite105.0ms (2.6%)

simplify93.0ms (2.3%)

localize25.0ms (0.6%)

series13.0ms (0.3%)

rewrite77.0ms (1.9%)

simplify94.0ms (2.3%)

eval252.0ms (6.3%)

prune93.0ms (2.3%)

localize10.0ms (0.2%)

series3.0ms (0.1%)

rewrite62.0ms (1.6%)

simplify61.0ms (1.5%)

localize6.0ms (0.1%)

series1.0ms (0%)

rewrite50.0ms (1.2%)

simplify90.0ms (2.3%)

localize6.0ms (0.1%)

eval58.0ms (1.5%)

prune31.0ms (0.8%)

localize16.0ms (0.4%)

localize36.0ms (0.9%)

series6.0ms (0.1%)

rewrite241.0ms (6%)

simplify57.0ms (1.4%)

localize4.0ms (0.1%)

eval62.0ms (1.5%)

prune21.0ms (0.5%)

regimes36.0ms (0.9%)

regimes70.0ms (1.8%)

regimes52.0ms (1.3%)

regimes8.0ms (0.2%)

regimes19.0ms (0.5%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end40.0ms (1%)

Profiling