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)

sample1.1s (33.9%)

Results

1.1s	8256×	body	256	valid
3.0ms	17×	body	256	infinite

Bogosity

preprocess54.0ms (1.6%)

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)

simplify73.0ms (2.2%)

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)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 12 computations (50% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite66.0ms (2%)

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	11
1	145	9
2	1848	9

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (-.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)))))))))

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)))))))))

simplify70.0ms (2.1%)

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	151
1	60	131
2	145	119
3	462	112
4	1945	112
5	3890	112
6	5584	112
7	7510	112

Stop Event

1×	node limit

Counts

38 → 35

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))

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))

eval9.0ms (0.3%)

Compiler: Compiled 359 to 249 computations (30.6% saved)

prune6.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	31	4	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	5	36

Error

0.0b

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	63.8b	(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))))
▶	2.0b	(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)
▶	0.0b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
▶	1.1b	(exp.f64 -1)

Compiler

Compiled 44 to 33 computations (25% saved)

localize15.0ms (0.4%)

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

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite70.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

711×	`pow1_binary64`
664×	`add-log-exp_binary64`
663×	`log1p-expm1-u_binary64`
663×	`expm1-log1p-u_binary64`
651×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	152	7
2	1913	7

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

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

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

simplify67.0ms (2%)

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	151
1	60	131
2	145	119
3	462	112
4	1945	112
5	3890	112
6	5584	112
7	7510	112

Stop Event

1×	node limit

Counts

30 → 26

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))

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))

localize15.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(exp.f64 (+.f64 -1 (*.f64 x x)))
✓	0.0b	(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)
✓	1.0b	(cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))

Compiler

Compiled 34 to 19 computations (44.1% saved)

series9.0ms (0.3%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)
2.0ms	x	@	inf	(cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
2.0ms	x	@	0	(cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
1.0ms	x	@	inf	(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)
0.0ms	x	@	-inf	(cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))

rewrite148.0ms (4.4%)

Algorithm

1×	batch-egg-rewrite

Rules

750×	`pow1_binary64`
703×	`add-log-exp_binary64`
703×	`log1p-expm1-u_binary64`
703×	`expm1-log1p-u_binary64`
686×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	188	23
2	1971	23

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)
(exp.f64 (+.f64 -1 (*.f64 x x)))

Outputs

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

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

simplify171.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

956×	`fma-def_binary64`
537×	`distribute-rgt-in_binary64`
535×	`distribute-lft-in_binary64`
522×	`associate-+l+_binary64`
471×	`associate-+r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	820
1	332	634
2	1234	553
3	7215	553

Stop Event

1×	node limit

Counts

108 → 76

Calls

Call 1

Inputs
(pow.f64 (exp.f64 -1) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(*.f64 (pow.f64 1 1/3) (exp.f64 -1))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (exp.f64 -1)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (exp.f64 -1)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3)))) (.f64 2/9 (*.f64 (pow.f64 1 1/3) (exp.f64 -1))))) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (exp.f64 -1)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3)))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (exp.f64 -1))))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (*.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3)))))) (pow.f64 x 6)))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(*.f64 (pow.f64 1 1/3) (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
(pow.f64 (exp.f64 -1) 1/3)
(cbrt.f64 (exp.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 1/3))
(fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (cbrt.f64 (exp.f64 -1)))
(.f64 (+.f64 (.f64 1/3 (*.f64 x x)) 1) (cbrt.f64 (exp.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3)))
(fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/6) (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))))) (cbrt.f64 (exp.f64 -1))))
(fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (fma.f64 (.f64 (.f64 1/18 (exp.f64 -1)) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (exp.f64 -2))) (cbrt.f64 (exp.f64 -1))))
(fma.f64 (cbrt.f64 (exp.f64 2)) (.f64 (pow.f64 x 4) (.f64 (exp.f64 -1) 1/18)) (.f64 (+.f64 (.f64 1/3 (*.f64 x x)) 1) (cbrt.f64 (exp.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))) (.f64 (-.f64 (.f64 (exp.f64 -1) 1/6) (fma.f64 1/27 (exp.f64 -1) (.f64 (.f64 (exp.f64 -1) 1/6) 2/3))) (pow.f64 x 6))) (fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (fma.f64 1/3 (.f64 (.f64 (exp.f64 -1) 1/6) (.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))))) (cbrt.f64 (exp.f64 -1)))))
(fma.f64 1/3 (.f64 (-.f64 (.f64 (exp.f64 -1) 7/54) (.f64 (exp.f64 -1) 1/9)) (.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 1 (exp.f64 -2))))) (fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x)) (fma.f64 (.f64 (.f64 1/18 (exp.f64 -1)) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (exp.f64 -2))) (cbrt.f64 (exp.f64 -1)))))
(fma.f64 1/3 (fma.f64 (.f64 (exp.f64 -1) 1/54) (.f64 (cbrt.f64 (exp.f64 2)) (pow.f64 x 6)) (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 x x))) (fma.f64 (cbrt.f64 (exp.f64 2)) (.f64 (pow.f64 x 4) (.f64 (exp.f64 -1) 1/18)) (cbrt.f64 (exp.f64 -1))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(*.f64 (pow.f64 1 1/3) (exp.f64 -1))
(exp.f64 -1)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (exp.f64 -1)))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (exp.f64 -1) (+.f64 (.f64 x x) 1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (exp.f64 -1)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3)))) (.f64 2/9 (*.f64 (pow.f64 1 1/3) (exp.f64 -1))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 (pow.f64 x 4) (fma.f64 1/3 (.f64 1 (.f64 (exp.f64 -1) 1/6)) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 2/3 (.f64 (.f64 (exp.f64 -1) 1/6) (cbrt.f64 (exp.f64 1))) (.f64 1/9 (cbrt.f64 (pow.f64 (exp.f64 -1) 2)))) (.f64 (exp.f64 -1) 2/9)))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 (pow.f64 x 4) (+.f64 (.f64 1/18 (exp.f64 -1)) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 1/9 (cbrt.f64 (exp.f64 -2)) (.f64 (.f64 (exp.f64 -1) 1/9) (cbrt.f64 (E.f64)))) (*.f64 (exp.f64 -1) 2/9))) (exp.f64 -1)))
(fma.f64 (exp.f64 -1) (fma.f64 x x 1) (.f64 (pow.f64 x 4) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 (.f64 (exp.f64 -1) 1/9) (cbrt.f64 (E.f64)) (.f64 1/9 (cbrt.f64 (exp.f64 -2)))) (.f64 (exp.f64 -1) 5/18))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (exp.f64 -1)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3)))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (exp.f64 -1))))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (*.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (fma.f64 (fma.f64 1/3 (.f64 1 (.f64 (exp.f64 -1) 1/6)) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 2/3 (.f64 (.f64 (exp.f64 -1) 1/6) (cbrt.f64 (exp.f64 1))) (.f64 1/9 (cbrt.f64 (pow.f64 (exp.f64 -1) 2)))) (.f64 (exp.f64 -1) 2/9))) (pow.f64 x 4) (.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 2/3 (.f64 (-.f64 (.f64 (exp.f64 -1) 1/6) (fma.f64 1/27 (exp.f64 -1) (.f64 (.f64 (exp.f64 -1) 1/6) 2/3))) (cbrt.f64 (exp.f64 1))) (.f64 (.f64 2/9 (.f64 (exp.f64 -1) 1/6)) (cbrt.f64 (exp.f64 1)))) (+.f64 (.f64 1/3 (-.f64 (.f64 (exp.f64 -1) 1/6) (fma.f64 1/27 (exp.f64 -1) (.f64 (.f64 (exp.f64 -1) 1/6) 2/3)))) (fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 2/3 (.f64 (.f64 (exp.f64 -1) 1/6) (cbrt.f64 (exp.f64 1))) (.f64 1/9 (cbrt.f64 (pow.f64 (exp.f64 -1) 2))))) (.f64 (.f64 1 (.f64 (exp.f64 -1) 1/6)) 2/9)))))))
(+.f64 (.f64 (exp.f64 -1) (+.f64 (.f64 x x) 1)) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 (.f64 2/3 (cbrt.f64 (E.f64))) (-.f64 (.f64 (exp.f64 -1) 7/54) (.f64 (exp.f64 -1) 1/9)) (.f64 (cbrt.f64 (E.f64)) (.f64 (exp.f64 -1) 1/27))) (fma.f64 1/3 (-.f64 (.f64 (exp.f64 -1) 7/54) (.f64 (exp.f64 -1) 1/9)) (fma.f64 (.f64 1/3 (cbrt.f64 (exp.f64 -1))) (fma.f64 1/9 (cbrt.f64 (exp.f64 -2)) (.f64 (.f64 (exp.f64 -1) 1/9) (cbrt.f64 (E.f64)))) (.f64 (exp.f64 -1) 1/27)))) (.f64 (pow.f64 x 4) (+.f64 (.f64 1/18 (exp.f64 -1)) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 1/9 (cbrt.f64 (exp.f64 -2)) (.f64 (.f64 (exp.f64 -1) 1/9) (cbrt.f64 (E.f64)))) (.f64 (exp.f64 -1) 2/9))))))
(fma.f64 (exp.f64 -1) (fma.f64 x x 1) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 (exp.f64 -1)) (.f64 (cbrt.f64 (E.f64)) (+.f64 (.f64 2/3 (.f64 (exp.f64 -1) 1/54)) (.f64 (exp.f64 -1) 1/27))) (fma.f64 (exp.f64 -1) 1/27 (.f64 1/3 (+.f64 (.f64 (exp.f64 -1) 1/54) (.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 (.f64 (exp.f64 -1) 1/9) (cbrt.f64 (E.f64)) (.f64 1/9 (cbrt.f64 (exp.f64 -2))))))))) (.f64 (pow.f64 x 4) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 (.f64 (exp.f64 -1) 1/9) (cbrt.f64 (E.f64)) (.f64 1/9 (cbrt.f64 (exp.f64 -2)))) (*.f64 (exp.f64 -1) 5/18)))))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(*.f64 (pow.f64 1 1/3) (exp.f64 (-.f64 (pow.f64 x 2) 1)))
(.f64 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) (+.f64 (.f64 x x) 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 (.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 (.f64 (exp.f64 -1) 1/6) (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) (fma.f64 x x 1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6)))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))

localize13.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series37.0ms (1.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
35.0ms	x	@	0	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (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	(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))))

rewrite66.0ms (2%)

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)))))))))

simplify54.0ms (1.6%)

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)))

eval128.0ms (3.9%)

Compiler: Compiled 3051 to 2539 computations (16.8% saved)

prune21.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	155	2	157
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	157	5	162

Error

0.0b

Counts

162 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	2.0b	(pow.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
✓	0.0b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
✓	1.1b	(exp.f64 -1)

Compiler

Compiled 39 to 31 computations (20.5% saved)

localize30.0ms (0.9%)

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)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite57.0ms (1.7%)

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)))))))

simplify58.0ms (1.7%)

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))

localize20.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
	0.0b	(pow.f64 (exp.f64 x) x)
✓	0.0b	(pow.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
✓	1.0b	(cbrt.f64 (exp.f64 -1))

Compiler

Compiled 40 to 21 computations (47.5% saved)

series62.0ms (1.9%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
58.0ms	x	@	inf	(pow.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
2.0ms	x	@	-inf	(pow.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
1.0ms	x	@	0	(pow.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
0.0ms	x	@	0	(*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
0.0ms	x	@	inf	(*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x)))

rewrite64.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

872×	`pow1_binary64`
812×	`add-log-exp_binary64`
812×	`log1p-expm1-u_binary64`
812×	`expm1-log1p-u_binary64`
789×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	218	23
2	2356	23

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(cbrt.f64 (exp.f64 -1))
(pow.f64 (*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
(*.f64 (cbrt.f64 (exp.f64 -1)) (cbrt.f64 (pow.f64 (exp.f64 x) x)))

Outputs

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

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

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

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

778×	`fma-def_binary64`
703×	`associate-l_binary64`
642×	`associate-r_binary64`
501×	`distribute-rgt-in_binary64`
499×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	645
1	302	503
2	1120	434

Stop Event

1×	node limit

Counts

83 → 78

Calls

Call 1

Inputs
(*.f64 (pow.f64 1 1/3) (exp.f64 -1))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (exp.f64 -1)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (exp.f64 -1)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3)))) (.f64 2/9 (*.f64 (pow.f64 1 1/3) (exp.f64 -1))))) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (exp.f64 -1)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3)))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (exp.f64 -1))))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (*.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3)))))) (pow.f64 x 6)))))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(pow.f64 (exp.f64 -1) 1/3)
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 1/3))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3))))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)

Outputs
(*.f64 (pow.f64 1 1/3) (exp.f64 -1))
(exp.f64 -1)
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (.f64 (pow.f64 1 1/3) (exp.f64 -1)))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (exp.f64 -1) (+.f64 1 (.f64 x x)))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (exp.f64 -1)) (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3)))) (.f64 2/9 (*.f64 (pow.f64 1 1/3) (exp.f64 -1))))) (pow.f64 x 4))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 (fma.f64 1/3 (.f64 1 (.f64 (exp.f64 -1) 1/6)) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 2/3 (.f64 (.f64 (exp.f64 -1) 1/6) (cbrt.f64 (exp.f64 1))) (.f64 1/9 (cbrt.f64 (pow.f64 (exp.f64 -1) 2)))) (.f64 (exp.f64 -1) 2/9))) (pow.f64 x 4)))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 (+.f64 (.f64 1/18 (exp.f64 -1)) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 1/9 (cbrt.f64 (exp.f64 -2)) (.f64 (cbrt.f64 (E.f64)) (.f64 (exp.f64 -1) 1/9))) (*.f64 (exp.f64 -1) 2/9))) (pow.f64 x 4) (exp.f64 -1)))
(fma.f64 (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 (cbrt.f64 (E.f64)) (.f64 (exp.f64 -1) 1/9) (.f64 1/9 (cbrt.f64 (exp.f64 -2)))) (.f64 (exp.f64 -1) 5/18)) (pow.f64 x 4) (.f64 (exp.f64 -1) (fma.f64 x x 1)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1))) (.f64 2/3 (.f64 (pow.f64 1 1/3) (exp.f64 -1)))) (pow.f64 x 2)) (+.f64 (.f64 (pow.f64 1 1/3) (exp.f64 -1)) (+.f64 (.f64 (+.f64 (.f64 1/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3))) (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3)))) (.f64 2/9 (.f64 (pow.f64 1 1/3) (exp.f64 -1))))) (pow.f64 x 4)) (.f64 (+.f64 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3) (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 1 1/3) (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (+.f64 (.f64 2/3 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 (/.f64 1 (exp.f64 -1)) 1/3))) (.f64 1/9 (pow.f64 (.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))))) (.f64 2/9 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (*.f64 1/3 (exp.f64 -1))) (pow.f64 1 1/3)))))) (pow.f64 x 6)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (fma.f64 (fma.f64 1/3 (.f64 1 (.f64 (exp.f64 -1) 1/6)) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 2/3 (.f64 (.f64 (exp.f64 -1) 1/6) (cbrt.f64 (exp.f64 1))) (.f64 1/9 (cbrt.f64 (pow.f64 (exp.f64 -1) 2)))) (.f64 (exp.f64 -1) 2/9))) (pow.f64 x 4) (.f64 (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 2/3 (.f64 (cbrt.f64 (exp.f64 1)) (-.f64 (.f64 (exp.f64 -1) 1/6) (fma.f64 1/27 (exp.f64 -1) (.f64 2/3 (.f64 (exp.f64 -1) 1/6))))) (.f64 (.f64 2/9 (.f64 (exp.f64 -1) 1/6)) (cbrt.f64 (exp.f64 1)))) (+.f64 (.f64 1/3 (-.f64 (.f64 (exp.f64 -1) 1/6) (fma.f64 1/27 (exp.f64 -1) (.f64 2/3 (.f64 (exp.f64 -1) 1/6))))) (fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 2/3 (.f64 (.f64 (exp.f64 -1) 1/6) (cbrt.f64 (exp.f64 1))) (.f64 1/9 (cbrt.f64 (pow.f64 (exp.f64 -1) 2))))) (.f64 (.f64 2/9 (.f64 (exp.f64 -1) 1/6)) 1)))) (pow.f64 x 6))))
(+.f64 (.f64 (exp.f64 -1) (+.f64 1 (.f64 x x))) (fma.f64 (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 (.f64 2/3 (cbrt.f64 (E.f64))) (-.f64 (.f64 (exp.f64 -1) 7/54) (.f64 (exp.f64 -1) 1/9)) (.f64 (cbrt.f64 (E.f64)) (.f64 (exp.f64 -1) 1/27))) (fma.f64 1/3 (-.f64 (.f64 (exp.f64 -1) 7/54) (.f64 (exp.f64 -1) 1/9)) (fma.f64 1/3 (.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 1/9 (cbrt.f64 (exp.f64 -2)) (.f64 (cbrt.f64 (E.f64)) (.f64 (exp.f64 -1) 1/9)))) (.f64 (exp.f64 -1) 1/27)))) (pow.f64 x 6) (.f64 (+.f64 (.f64 1/18 (exp.f64 -1)) (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 1/9 (cbrt.f64 (exp.f64 -2)) (.f64 (cbrt.f64 (E.f64)) (.f64 (exp.f64 -1) 1/9))) (.f64 (exp.f64 -1) 2/9))) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (fma.f64 x x 1) (fma.f64 (fma.f64 1/3 (+.f64 (.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 (cbrt.f64 (E.f64)) (.f64 (exp.f64 -1) 1/9) (.f64 1/9 (cbrt.f64 (exp.f64 -2))))) (.f64 (exp.f64 -1) 1/54)) (fma.f64 (exp.f64 -1) 1/27 (.f64 (cbrt.f64 (exp.f64 -1)) (.f64 (cbrt.f64 (E.f64)) (+.f64 (.f64 2/3 (.f64 (exp.f64 -1) 1/54)) (.f64 (exp.f64 -1) 1/27)))))) (pow.f64 x 6) (.f64 (fma.f64 (cbrt.f64 (exp.f64 -1)) (fma.f64 (cbrt.f64 (E.f64)) (.f64 (exp.f64 -1) 1/9) (.f64 1/9 (cbrt.f64 (exp.f64 -2)))) (*.f64 (exp.f64 -1) 5/18)) (pow.f64 x 4))))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(.f64 (pow.f64 1 1/3) (.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)))
(.f64 1 (exp.f64 (+.f64 (.f64 x x) -1)))
(exp.f64 (fma.f64 x x -1))
(pow.f64 (exp.f64 -1) 1/3)
(cbrt.f64 (exp.f64 -1))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (*.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 1/3))
(fma.f64 1/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -1))) (cbrt.f64 (exp.f64 -1)))
(fma.f64 1/3 (.f64 x (.f64 x (cbrt.f64 (exp.f64 -1)))) (cbrt.f64 (exp.f64 -1)))
(.f64 (+.f64 (.f64 1/3 (*.f64 x x)) 1) (cbrt.f64 (exp.f64 -1)))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3)))
(fma.f64 1/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -1))) (fma.f64 1/3 (.f64 (.f64 (*.f64 (exp.f64 -1) 1/6) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)))) (cbrt.f64 (exp.f64 -1))))
(fma.f64 1/3 (.f64 x (.f64 x (cbrt.f64 (exp.f64 -1)))) (fma.f64 (.f64 (.f64 1/18 (exp.f64 -1)) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (exp.f64 -2))) (cbrt.f64 (exp.f64 -1))))
(fma.f64 (.f64 (exp.f64 -1) 1/18) (.f64 (pow.f64 x 4) (cbrt.f64 (exp.f64 2))) (.f64 (+.f64 (.f64 1/3 (*.f64 x x)) 1) (cbrt.f64 (exp.f64 -1))))
(+.f64 (.f64 1/3 (.f64 (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3) (.f64 (-.f64 (.f64 1/6 (exp.f64 -1)) (+.f64 (.f64 1/27 (exp.f64 -1)) (.f64 2/3 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1)))))) (pow.f64 x 6)))) (+.f64 (.f64 1/3 (.f64 (pow.f64 (.f64 1 (exp.f64 -1)) 1/3) (pow.f64 x 2))) (+.f64 (.f64 1/3 (.f64 (.f64 (-.f64 (.f64 1/2 (exp.f64 -1)) (.f64 1/3 (exp.f64 -1))) (pow.f64 x 4)) (pow.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)) 1/3))) (pow.f64 (exp.f64 -1) 1/3))))
(fma.f64 1/3 (.f64 (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2))) (.f64 (-.f64 (.f64 (exp.f64 -1) 1/6) (fma.f64 1/27 (exp.f64 -1) (.f64 2/3 (.f64 (exp.f64 -1) 1/6)))) (pow.f64 x 6))) (fma.f64 1/3 (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -1))) (fma.f64 1/3 (.f64 (.f64 (.f64 (exp.f64 -1) 1/6) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (pow.f64 (exp.f64 -1) 2)))) (cbrt.f64 (exp.f64 -1)))))
(fma.f64 1/3 (.f64 (-.f64 (.f64 (exp.f64 -1) 7/54) (.f64 (exp.f64 -1) 1/9)) (.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 1 (exp.f64 -2))))) (fma.f64 1/3 (.f64 x (.f64 x (cbrt.f64 (exp.f64 -1)))) (fma.f64 (.f64 (.f64 1/18 (exp.f64 -1)) (pow.f64 x 4)) (cbrt.f64 (/.f64 1 (exp.f64 -2))) (cbrt.f64 (exp.f64 -1)))))
(fma.f64 1/3 (fma.f64 (pow.f64 x 6) (.f64 (.f64 (exp.f64 -1) 1/54) (cbrt.f64 (exp.f64 2))) (.f64 (.f64 x x) (cbrt.f64 (exp.f64 -1)))) (fma.f64 (.f64 (exp.f64 -1) 1/18) (.f64 (pow.f64 x 4) (cbrt.f64 (exp.f64 2))) (cbrt.f64 (exp.f64 -1))))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))
(pow.f64 (*.f64 (exp.f64 (pow.f64 x 2)) (exp.f64 -1)) 1/3)
(cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(cbrt.f64 (exp.f64 (fma.f64 x x -1)))

eval101.0ms (3%)

Compiler: Compiled 2373 to 1766 computations (25.6% saved)

prune25.0ms (0.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	144	2	146
Fresh	0	0	0
Picked	1	0	1
Done	1	3	4
Total	146	5	151

Error

0.0b

Counts

151 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.0b	(exp.f64 (+.f64 -1 (*.f64 x x)))
▶	2.0b	(pow.f64 (*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
✓	0.0b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
✓	1.1b	(exp.f64 -1)

Compiler

Compiled 41 to 33 computations (19.5% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize31.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
	0.0b	(pow.f64 (exp.f64 x) x)
✓	0.0b	(pow.f64 (*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
✓	1.0b	(-.f64 (+.f64 1 (exp.f64 -1/3)) 1)

Compiler

Compiled 54 to 35 computations (35.2% saved)

series8.0ms (0.2%)

Counts

3 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f64 (*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
2.0ms	x	@	-inf	(pow.f64 (*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
2.0ms	x	@	0	(pow.f64 (*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
0.0ms	x	@	0	(*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
0.0ms	x	@	inf	(*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x)))

rewrite115.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

487×	`log-prod_binary64`
344×	`pow-prod-down_binary64`
295×	`fma-def_binary64`
291×	`pow2_binary64`
263×	`pow-pow_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	13	50
1	280	23
2	3500	22

Stop Event

1×	node limit

Counts

3 → 133

Calls

Call 1

Inputs
(-.f64 (+.f64 1 (exp.f64 -1/3)) 1)
(pow.f64 (*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
(*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (expm1.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (expm1.f64 -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 -1/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (exp.f64 -1/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 1 (exp.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (exp.f64 -1/3))) 2)) (log.f64 (cbrt.f64 (exp.f64 (exp.f64 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (exp.f64 -1/3)))) (log.f64 (sqrt.f64 (exp.f64 (exp.f64 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 -1/9) 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(#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (fma.f64 1/3 (*.f64 x x) -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (fma.f64 1/3 (*.f64 x x) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (fma.f64 1/3 (*.f64 x x) -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (fma.f64 1/3 (*.f64 x x) -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (fma.f64 1/3 (*.f64 x x) -1/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (expm1.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (expm1.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 1 (exp.f64 -1/3)) (cbrt.f64 (pow.f64 (exp.f64 x) x)) 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(*.f64 x 2/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) (*.f64 (expm1.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (exp.f64 x) (*.f64 x 2/3))) (cbrt.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x))) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (expm1.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)) (pow.f64 (exp.f64 x) (*.f64 x 1/6)) (*.f64 (expm1.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 x) (*.f64 x 1/6)) (pow.f64 (exp.f64 x) (*.f64 x 1/6)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (expm1.f64 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (expm1.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 1 1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)) (*.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) (expm1.f64 -1/3)))))))

simplify113.0ms (3.4%)

Algorithm

1×	egg-herbie

Rules

644×	`distribute-rgt-in_binary64`
632×	`distribute-lft-in_binary64`
502×	`distribute-rgt-out_binary64`
445×	`fma-def_binary64`
306×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	63	456
1	180	429
2	583	353
3	3117	329
4	6610	329
5	6832	329
6	7162	329
7	7886	329

Stop Event

1×	node limit

Counts

157 → 151

Calls

Call 1

Inputs
(pow.f64 (exp.f64 -1/3) 3)
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1/3) 3)) (*.f64 2/3 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 2)) (pow.f64 (exp.f64 -1/3) 3))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1/3) 3)) (.f64 2/3 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 2)) (+.f64 (pow.f64 (exp.f64 -1/3) 3) (.f64 (+.f64 (.f64 4/9 (pow.f64 (exp.f64 -1/3) 3)) (.f64 1/18 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 4))))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1/3) 3)) (.f64 2/3 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/27 (pow.f64 (exp.f64 -1/3) 3)) (+.f64 (.f64 1/162 (pow.f64 (exp.f64 -1/3) 3)) (+.f64 (.f64 (exp.f64 -1/3) (+.f64 (.f64 1/81 (pow.f64 (exp.f64 -1/3) 2)) (.f64 1/27 (pow.f64 (exp.f64 -1/3) 2)))) (.f64 2/27 (pow.f64 (exp.f64 -1/3) 3))))) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 -1/3) 3) (.f64 (+.f64 (.f64 4/9 (pow.f64 (exp.f64 -1/3) 3)) (*.f64 1/18 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 4)))))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(exp.f64 -1/3)
(+.f64 (exp.f64 -1/3) (.f64 1/3 (.f64 (exp.f64 -1/3) (pow.f64 x 2))))
(+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/18 (.f64 (exp.f64 -1/3) (pow.f64 x 4))) (.f64 1/3 (.f64 (exp.f64 -1/3) (pow.f64 x 2)))))
(+.f64 (.f64 1/162 (.f64 (exp.f64 -1/3) (pow.f64 x 6))) (+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/18 (.f64 (exp.f64 -1/3) (pow.f64 x 4))) (.f64 1/3 (.f64 (exp.f64 -1/3) (pow.f64 x 2))))))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))

Outputs
(pow.f64 (exp.f64 -1/3) 3)
(exp.f64 -1)
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1/3) 3)) (*.f64 2/3 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 2)) (pow.f64 (exp.f64 -1/3) 3))
(fma.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) 1) (.f64 x x) (pow.f64 (exp.f64 -1/3) 3))
(fma.f64 (pow.f64 (exp.f64 -1/3) 3) (*.f64 x x) (pow.f64 (exp.f64 -1/3) 3))
(.f64 (exp.f64 -1) (+.f64 (.f64 x x) 1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1/3) 3)) (.f64 2/3 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 2)) (+.f64 (pow.f64 (exp.f64 -1/3) 3) (.f64 (+.f64 (.f64 4/9 (pow.f64 (exp.f64 -1/3) 3)) (.f64 1/18 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 4))))
(fma.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) 1) (.f64 x x) (+.f64 (pow.f64 (exp.f64 -1/3) 3) (.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) 1/2) (pow.f64 x 4))))
(fma.f64 (pow.f64 (exp.f64 -1/3) 3) (.f64 x x) (fma.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) 1/2) (pow.f64 x 4) (pow.f64 (exp.f64 -1/3) 3)))
(+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 x x) (*.f64 (pow.f64 x 4) 1/2))))
(.f64 (exp.f64 -1) (+.f64 (+.f64 (.f64 x x) 1) (*.f64 (pow.f64 x 4) 1/2)))
(+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1/3) 3)) (.f64 2/3 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 1/27 (pow.f64 (exp.f64 -1/3) 3)) (+.f64 (.f64 1/162 (pow.f64 (exp.f64 -1/3) 3)) (+.f64 (.f64 (exp.f64 -1/3) (+.f64 (.f64 1/81 (pow.f64 (exp.f64 -1/3) 2)) (.f64 1/27 (pow.f64 (exp.f64 -1/3) 2)))) (.f64 2/27 (pow.f64 (exp.f64 -1/3) 3))))) (pow.f64 x 6)) (+.f64 (pow.f64 (exp.f64 -1/3) 3) (.f64 (+.f64 (.f64 4/9 (pow.f64 (exp.f64 -1/3) 3)) (*.f64 1/18 (pow.f64 (exp.f64 -1/3) 3))) (pow.f64 x 4)))))
(fma.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) 1) (.f64 x x) (fma.f64 (fma.f64 1/27 (pow.f64 (exp.f64 -1/3) 3) (fma.f64 1/162 (pow.f64 (exp.f64 -1/3) 3) (fma.f64 (exp.f64 -1/3) (.f64 (pow.f64 (exp.f64 -1/3) 2) 4/81) (.f64 (pow.f64 (exp.f64 -1/3) 3) 2/27)))) (pow.f64 x 6) (+.f64 (pow.f64 (exp.f64 -1/3) 3) (.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) 1/2) (pow.f64 x 4)))))
(fma.f64 (pow.f64 (exp.f64 -1/3) 3) (.f64 x x) (fma.f64 (+.f64 (fma.f64 (pow.f64 (exp.f64 -1/3) 3) 2/27 (.f64 (pow.f64 (exp.f64 -1/3) 3) 4/81)) (.f64 (pow.f64 (exp.f64 -1/3) 3) 7/162)) (pow.f64 x 6) (fma.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) 1/2) (pow.f64 x 4) (pow.f64 (exp.f64 -1/3) 3))))
(fma.f64 (fma.f64 (exp.f64 -1) 7/162 (.f64 (exp.f64 -1) 10/81)) (pow.f64 x 6) (+.f64 (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 x x) (.f64 (pow.f64 x 4) 1/2)))))
(fma.f64 (fma.f64 (exp.f64 -1) 1/27 (.f64 (exp.f64 -1) 7/54)) (pow.f64 x 6) (.f64 (exp.f64 -1) (+.f64 (+.f64 (.f64 x x) 1) (.f64 (pow.f64 x 4) 1/2))))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (.f64 x x)))
(*.f64 (pow.f64 (exp.f64 -1/3) 3) (pow.f64 (exp.f64 x) x))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (.f64 x x)))
(*.f64 (pow.f64 (exp.f64 -1/3) 3) (pow.f64 (exp.f64 x) x))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (.f64 x x)))
(*.f64 (pow.f64 (exp.f64 -1/3) 3) (pow.f64 (exp.f64 x) x))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (.f64 x x)))
(*.f64 (pow.f64 (exp.f64 -1/3) 3) (pow.f64 (exp.f64 x) x))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (.f64 x x)))
(*.f64 (pow.f64 (exp.f64 -1/3) 3) (pow.f64 (exp.f64 x) x))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (.f64 x x)))
(*.f64 (pow.f64 (exp.f64 -1/3) 3) (pow.f64 (exp.f64 x) x))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (.f64 x x)))
(*.f64 (pow.f64 (exp.f64 -1/3) 3) (pow.f64 (exp.f64 x) x))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (pow.f64 x 2))) (pow.f64 1 1/3))
(.f64 (pow.f64 (exp.f64 -1/3) 3) (exp.f64 (.f64 x x)))
(*.f64 (pow.f64 (exp.f64 -1/3) 3) (pow.f64 (exp.f64 x) x))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 -1/3)
(+.f64 (exp.f64 -1/3) (.f64 1/3 (.f64 (exp.f64 -1/3) (pow.f64 x 2))))
(+.f64 (exp.f64 -1/3) (.f64 1/3 (.f64 (exp.f64 -1/3) (*.f64 x x))))
(fma.f64 1/3 (.f64 (exp.f64 -1/3) (.f64 x x)) (exp.f64 -1/3))
(fma.f64 (exp.f64 -1/3) (.f64 1/3 (.f64 x x)) (exp.f64 -1/3))
(+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/18 (.f64 (exp.f64 -1/3) (pow.f64 x 4))) (.f64 1/3 (.f64 (exp.f64 -1/3) (pow.f64 x 2)))))
(+.f64 (exp.f64 -1/3) (fma.f64 1/18 (.f64 (exp.f64 -1/3) (pow.f64 x 4)) (.f64 1/3 (.f64 (exp.f64 -1/3) (.f64 x x)))))
(+.f64 (exp.f64 -1/3) (fma.f64 1/3 (.f64 (exp.f64 -1/3) (.f64 x x)) (.f64 1/18 (.f64 (exp.f64 -1/3) (pow.f64 x 4)))))
(+.f64 (exp.f64 -1/3) (.f64 (exp.f64 -1/3) (+.f64 (.f64 1/3 (.f64 x x)) (.f64 1/18 (pow.f64 x 4)))))
(.f64 (exp.f64 -1/3) (+.f64 (.f64 1/3 (.f64 x x)) (+.f64 1 (.f64 1/18 (pow.f64 x 4)))))
(+.f64 (.f64 1/162 (.f64 (exp.f64 -1/3) (pow.f64 x 6))) (+.f64 (exp.f64 -1/3) (+.f64 (.f64 1/18 (.f64 (exp.f64 -1/3) (pow.f64 x 4))) (.f64 1/3 (.f64 (exp.f64 -1/3) (pow.f64 x 2))))))
(fma.f64 1/162 (.f64 (exp.f64 -1/3) (pow.f64 x 6)) (+.f64 (exp.f64 -1/3) (fma.f64 1/18 (.f64 (exp.f64 -1/3) (pow.f64 x 4)) (.f64 1/3 (.f64 (exp.f64 -1/3) (*.f64 x x))))))
(+.f64 (fma.f64 1/3 (.f64 (exp.f64 -1/3) (.f64 x x)) (.f64 1/18 (.f64 (exp.f64 -1/3) (pow.f64 x 4)))) (fma.f64 1/162 (*.f64 (exp.f64 -1/3) (pow.f64 x 6)) (exp.f64 -1/3)))
(+.f64 (.f64 (exp.f64 -1/3) (+.f64 (.f64 1/3 (.f64 x x)) (.f64 1/18 (pow.f64 x 4)))) (fma.f64 (exp.f64 -1/3) (*.f64 1/162 (pow.f64 x 6)) (exp.f64 -1/3)))
(fma.f64 (exp.f64 -1/3) (.f64 1/162 (pow.f64 x 6)) (.f64 (exp.f64 -1/3) (+.f64 (.f64 1/3 (.f64 x x)) (+.f64 1 (*.f64 1/18 (pow.f64 x 4))))))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 x x))))
(*.f64 (exp.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 x x))))
(*.f64 (exp.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 x x))))
(*.f64 (exp.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 x x))))
(*.f64 (exp.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 x x))))
(*.f64 (exp.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 x x))))
(*.f64 (exp.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 x x))))
(*.f64 (exp.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
(.f64 (exp.f64 -1/3) (pow.f64 (.f64 1 (exp.f64 (pow.f64 x 2))) 1/3))
(.f64 (exp.f64 -1/3) (cbrt.f64 (exp.f64 (.f64 x x))))
(*.f64 (exp.f64 -1/3) (cbrt.f64 (pow.f64 (exp.f64 x) x)))

eval149.0ms (4.5%)

Compiler: Compiled 3135 to 2213 computations (29.4% saved)

prune65.0ms (1.9%)

Pruning

5 alts after pruning (0 fresh and 5 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	4	4
Total	189	5	194

Error

0.0b

Counts

194 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 -1 (*.f64 x x)))
✓	2.0b	(pow.f64 (*.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (cbrt.f64 (pow.f64 (exp.f64 x) x))) 3)
✓	0.0b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
✓	1.1b	(exp.f64 -1)

Compiler

Compiled 41 to 33 computations (19.5% saved)

regimes73.0ms (2.2%)

Counts

9 → 1

Calls

Call 1

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

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

Calls

9 calls:

27.0ms	x
14.0ms	(-.f64 1 (*.f64 x x))
7.0ms	(*.f64 x x)
6.0ms	(*.f64 x x)
5.0ms	(-.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 130 to 85 computations (34.6% saved)

regimes29.0ms (0.9%)

Accuracy

Total -1.0b remaining (-3538.8%)

Threshold costs -1.0b (-3538.8%)

Counts

4 → 1

Calls

Call 1

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

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

Calls

8 calls:

12.0ms	x
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.0b	1	`(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 71 to 48 computations (32.4% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	12	23

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

soundness0.0ms (0%)

end25.0ms (0.8%)

Compiler: Compiled 16 to 12 computations (25% saved)

Details

analyze4.0ms (0.1%)

sample1.1s (33.9%)

preprocess54.0ms (1.6%)

simplify73.0ms (2.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.3%)

series2.0ms (0.1%)

rewrite66.0ms (2%)

simplify70.0ms (2.1%)

eval9.0ms (0.3%)

prune6.0ms (0.2%)

localize15.0ms (0.4%)

localize10.0ms (0.3%)

series2.0ms (0.1%)

rewrite70.0ms (2.1%)

simplify67.0ms (2%)

localize15.0ms (0.5%)

series9.0ms (0.3%)

rewrite148.0ms (4.4%)

simplify171.0ms (5.1%)

localize13.0ms (0.4%)

series37.0ms (1.1%)

rewrite66.0ms (2%)

simplify54.0ms (1.6%)

eval128.0ms (3.9%)

prune21.0ms (0.6%)

localize30.0ms (0.9%)

series5.0ms (0.2%)

rewrite57.0ms (1.7%)

simplify58.0ms (1.7%)

localize20.0ms (0.6%)

series62.0ms (1.9%)

rewrite64.0ms (1.9%)

simplify41.0ms (1.2%)

eval101.0ms (3%)

prune25.0ms (0.8%)

localize8.0ms (0.2%)

localize31.0ms (0.9%)

series8.0ms (0.2%)

rewrite115.0ms (3.5%)

simplify113.0ms (3.4%)

eval149.0ms (4.5%)

prune65.0ms (1.9%)

regimes73.0ms (2.2%)

regimes29.0ms (0.9%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end25.0ms (0.8%)

Profiling