Details

analyze7.0ms (0.2%)

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)

sample1.5s (36.6%)

Results

1.5s	8256×	body	256	valid
2.0ms	14×	body	256	infinite

Bogosity

preprocess88.0ms (2.1%)

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)

simplify54.0ms (1.3%)

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)

prune2.0ms (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

0.1b

Counts

3 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 8 to 6 computations (25% saved)

localize23.0ms (0.6%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 24 to 12 computations (50% saved)

series2.0ms (0%)

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))))

rewrite50.0ms (1.2%)

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)))))))))

simplify68.0ms (1.6%)

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 (0.2%)

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

prune7.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	32	3	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	4	36

Error

0.0b

Counts

36 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(exp.f64 -1)
▶	0.3b	(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3))
▶	0.0b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
✓	0.1b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 29 to 23 computations (20.7% saved)

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (+.f64 -1 (*.f64 x x)))
✓	1.0b	(pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3)
✓	1.8b	(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3))

Compiler

Compiled 35 to 20 computations (42.9% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite71.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`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	9	30
1	188	24
2	1982	24

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

simplify60.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

791×	`associate-+l+_binary64`
681×	`associate-+r+_binary64`
483×	`*-commutative_binary64`
395×	`distribute-rgt-out_binary64`
346×	`distribute-lft-out_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	541
1	147	474
2	468	408
3	2419	392
4	7678	392

Stop Event

1×	node limit

Counts

108 → 66

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))
(pow.f64 (exp.f64 -1) 3)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3)) (pow.f64 x 2)) (pow.f64 (exp.f64 -1) 3))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 (exp.f64 -1) 3)) (.f64 1/2 (pow.f64 (exp.f64 -1) 3))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3)) (pow.f64 x 2)) (pow.f64 (exp.f64 -1) 3)))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 (exp.f64 -1) 3)) (.f64 1/2 (pow.f64 (exp.f64 -1) 3))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3)) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (exp.f64 -1) 3)) (+.f64 (.f64 1/6 (pow.f64 (exp.f64 -1) 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1) 2)) (pow.f64 (exp.f64 -1) 2)) (exp.f64 -1)) (pow.f64 (exp.f64 -1) 3)))) (pow.f64 x 6)) (pow.f64 (exp.f64 -1) 3))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(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 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (.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 (fma.f64 x x 1) (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6)))))
(.f64 (exp.f64 -1) (+.f64 (+.f64 (fma.f64 x x 1) (.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))
(pow.f64 (exp.f64 -1) 3)
(exp.f64 -3)
(+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3)) (pow.f64 x 2)) (pow.f64 (exp.f64 -1) 3))
(fma.f64 (.f64 3 (pow.f64 (exp.f64 -1) 3)) (.f64 x x) (pow.f64 (exp.f64 -1) 3))
(fma.f64 (.f64 x x) (.f64 3 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3))
(fma.f64 x (.f64 x (.f64 3 (exp.f64 -3))) (exp.f64 -3))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 (exp.f64 -1) 3)) (.f64 1/2 (pow.f64 (exp.f64 -1) 3))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (*.f64 2 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3)) (pow.f64 x 2)) (pow.f64 (exp.f64 -1) 3)))
(fma.f64 (.f64 (pow.f64 (exp.f64 -1) 3) 9/2) (pow.f64 x 4) (fma.f64 (.f64 3 (pow.f64 (exp.f64 -1) 3)) (*.f64 x x) (pow.f64 (exp.f64 -1) 3)))
(fma.f64 (pow.f64 x 4) (.f64 (pow.f64 (exp.f64 -1) 3) 9/2) (fma.f64 (.f64 x x) (*.f64 3 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3)))
(fma.f64 (pow.f64 x 4) (.f64 (exp.f64 -3) 9/2) (fma.f64 x (.f64 x (*.f64 3 (exp.f64 -3))) (exp.f64 -3)))
(.f64 (exp.f64 -3) (+.f64 (+.f64 1 (.f64 x (.f64 x 3))) (.f64 (pow.f64 x 4) 9/2)))
(+.f64 (.f64 (+.f64 (.f64 4 (pow.f64 (exp.f64 -1) 3)) (.f64 1/2 (pow.f64 (exp.f64 -1) 3))) (pow.f64 x 4)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3)) (pow.f64 x 2)) (+.f64 (.f64 (+.f64 (.f64 2 (pow.f64 (exp.f64 -1) 3)) (+.f64 (.f64 1/6 (pow.f64 (exp.f64 -1) 3)) (+.f64 (.f64 (+.f64 (.f64 1/3 (pow.f64 (exp.f64 -1) 2)) (pow.f64 (exp.f64 -1) 2)) (exp.f64 -1)) (pow.f64 (exp.f64 -1) 3)))) (pow.f64 x 6)) (pow.f64 (exp.f64 -1) 3))))
(fma.f64 (.f64 (pow.f64 (exp.f64 -1) 3) 9/2) (pow.f64 x 4) (fma.f64 (.f64 3 (pow.f64 (exp.f64 -1) 3)) (.f64 x x) (fma.f64 (fma.f64 2 (pow.f64 (exp.f64 -1) 3) (fma.f64 1/6 (pow.f64 (exp.f64 -1) 3) (fma.f64 (.f64 4/3 (pow.f64 (exp.f64 -1) 2)) (exp.f64 -1) (pow.f64 (exp.f64 -1) 3)))) (pow.f64 x 6) (pow.f64 (exp.f64 -1) 3))))
(fma.f64 (pow.f64 x 4) (.f64 (pow.f64 (exp.f64 -1) 3) 9/2) (fma.f64 (.f64 x x) (.f64 3 (pow.f64 (exp.f64 -1) 3)) (fma.f64 (pow.f64 x 6) (+.f64 (.f64 (exp.f64 -1) (+.f64 (exp.f64 -2) (.f64 (exp.f64 -2) 4/3))) (.f64 (pow.f64 (exp.f64 -1) 3) 13/6)) (pow.f64 (exp.f64 -1) 3))))
(fma.f64 x (.f64 x (.f64 3 (exp.f64 -3))) (fma.f64 (pow.f64 x 4) (.f64 (exp.f64 -3) 9/2) (fma.f64 (pow.f64 x 6) (fma.f64 (exp.f64 -3) 13/6 (.f64 7/3 (exp.f64 -3))) (exp.f64 -3))))
(+.f64 (fma.f64 (pow.f64 x 6) (.f64 (exp.f64 -3) 9/2) (exp.f64 -3)) (.f64 (.f64 x x) (.f64 (exp.f64 -3) (+.f64 (.f64 (.f64 x x) 9/2) 3))))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (exp.f64 3) (fma.f64 x x -1))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (exp.f64 3) (fma.f64 x x -1))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (exp.f64 3) (fma.f64 x x -1))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (exp.f64 3) (fma.f64 x x -1))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (exp.f64 3) (fma.f64 x x -1))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (exp.f64 3) (fma.f64 x x -1))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (exp.f64 3) (fma.f64 x x -1))
(pow.f64 (exp.f64 (-.f64 (pow.f64 x 2) 1)) 3)
(pow.f64 (exp.f64 (+.f64 (*.f64 x x) -1)) 3)
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (exp.f64 3) (fma.f64 x x -1))
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (.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 (fma.f64 x x 1) (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6)))))
(.f64 (exp.f64 -1) (+.f64 (+.f64 (fma.f64 x x 1) (.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))

localize3.0ms (0.1%)

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

localize13.0ms (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%)

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)))

rewrite50.0ms (1.2%)

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))))))

simplify68.0ms (1.6%)

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))

eval62.0ms (1.5%)

Compiler: Compiled 1167 to 908 computations (22.2% saved)

prune26.0ms (0.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	90	2	92
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	91	5	96

Error

0.0b

Counts

96 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(exp.f64 -1)
▶	0.3b	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))
✓	0.0b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.1b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Compiler

Compiled 40 to 32 computations (20% saved)

localize45.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f64 (pow.f64 (exp.f64 x) x) 3)
✓	0.0b	(pow.f64 (exp.f64 x) x)
✓	1.0b	(pow.f64 (exp.f64 -1) 3)
✓	1.8b	(cbrt.f64 (*.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))

Compiler

Compiled 45 to 28 computations (37.8% saved)

series9.0ms (0.2%)

Counts

4 → 36

Calls

9 calls:

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

rewrite99.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`pow1_binary64`
839×	`add-log-exp_binary64`
839×	`log1p-expm1-u_binary64`
839×	`expm1-log1p-u_binary64`
813×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	29
1	229	27
2	2402	27

Stop Event

1×	node limit

Counts

4 → 80

Calls

Call 1

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

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

simplify92.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

864×	`distribute-rgt-out_binary64`
688×	`fma-def_binary64`
551×	`distribute-lft-out_binary64`
536×	`associate-l_binary64`
381×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	43	366
1	114	336
2	283	318
3	845	312
4	3259	312
5	6046	312
6	7473	312

Stop Event

1×	node limit

Counts

116 → 106

Calls

Call 1

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

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

localize18.0ms (0.4%)

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)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite59.0ms (1.4%)

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	11
1	130	9
2	1468	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

721×	`distribute-lft-out_binary64`
438×	`fma-neg_binary64`
406×	`*-commutative_binary64`
370×	`distribute-rgt-out_binary64`
344×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	23	151
1	56	131
2	142	119
3	459	112
4	1943	112
5	3886	112
6	5555	112
7	7397	112

Stop Event

1×	node limit

Counts

23 → 20

Calls

Call 1

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

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)))))
(*.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))

eval226.0ms (5.4%)

Compiler: Compiled 2024 to 1359 computations (32.9% saved)

prune20.0ms (0.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	146	4	150
Fresh	0	0	0
Picked	0	1	1
Done	2	2	4
Total	148	7	155

Error

0.0b

Counts

155 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(exp.f64 -1)
▶	0.1b	(exp.f64 (+.f64 -1 (*.f64 x x)))
▶	0.3b	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (exp.f64 -1))
▶	0.3b	(cbrt.f64 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (exp.f64 x) (.f64 x 3))))
✓	0.0b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
▶	2.0b	(.f64 (cbrt.f64 (exp.f64 -2)) (.f64 (cbrt.f64 (exp.f64 -1)) (pow.f64 (exp.f64 x) x)))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

Compiler

Compiled 63 to 50 computations (20.6% saved)

localize29.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (exp.f64 x) (.f64 x 3)))
✓	0.0b	(pow.f64 (exp.f64 x) (*.f64 x 3))
	1.0b	(pow.f64 (exp.f64 -1) 3)
✓	1.8b	(cbrt.f64 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (exp.f64 x) (.f64 x 3))))

Compiler

Compiled 44 to 32 computations (27.3% saved)

series8.0ms (0.2%)

Counts

3 → 36

Calls

9 calls:

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

rewrite117.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

910×	`pow1_binary64`
850×	`add-log-exp_binary64`
849×	`log1p-expm1-u_binary64`
849×	`expm1-log1p-u_binary64`
827×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	39
1	222	30
2	2451	30

Stop Event

1×	node limit

Counts

3 → 50

Calls

Call 1

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

Outputs

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

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

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

711×	`associate-/l/_binary64`
634×	`associate-/r/_binary64`
611×	`distribute-rgt-out_binary64`
485×	`associate-/l*_binary64`
368×	`*-commutative_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	51	577
1	143	571
2	428	455
3	1624	414
4	3281	409
5	3862	409
6	4848	409

Stop Event

1×	node limit

Counts

86 → 77

Calls

Call 1

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

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (+.f64 (.f64 x x) 1) (exp.f64 -1))
(*.f64 (exp.f64 -1) (fma.f64 x x 1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (fma.f64 (exp.f64 -1) (.f64 x x) (exp.f64 -1)) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))
(fma.f64 (exp.f64 -1) (.f64 x x) (fma.f64 1/2 (.f64 (exp.f64 -1) (pow.f64 x 4)) (exp.f64 -1)))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (.f64 1/2 (pow.f64 x 4))))
(+.f64 (.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 (fma.f64 x x 1) (exp.f64 -1) (.f64 (exp.f64 -1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6)))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (+.f64 (.f64 1/6 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (pow.f64 (.f64 1 (exp.f64 (*.f64 3 (pow.f64 x 2)))) 1/3) (exp.f64 -1))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x x))))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (pow.f64 (.f64 1 (exp.f64 (*.f64 3 (pow.f64 x 2)))) 1/3) (exp.f64 -1))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x x))))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (pow.f64 (.f64 1 (exp.f64 (*.f64 3 (pow.f64 x 2)))) 1/3) (exp.f64 -1))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x x))))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (pow.f64 (.f64 1 (exp.f64 (*.f64 3 (pow.f64 x 2)))) 1/3) (exp.f64 -1))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x x))))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (pow.f64 (.f64 1 (exp.f64 (*.f64 3 (pow.f64 x 2)))) 1/3) (exp.f64 -1))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x x))))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (pow.f64 (.f64 1 (exp.f64 (*.f64 3 (pow.f64 x 2)))) 1/3) (exp.f64 -1))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x x))))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (pow.f64 (.f64 1 (exp.f64 (*.f64 3 (pow.f64 x 2)))) 1/3) (exp.f64 -1))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x x))))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
(.f64 (pow.f64 (.f64 1 (exp.f64 (*.f64 3 (pow.f64 x 2)))) 1/3) (exp.f64 -1))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 3) (.f64 x x))))
(.f64 (exp.f64 -1) (cbrt.f64 (pow.f64 (exp.f64 (.f64 x x)) 3)))
(*.f64 (exp.f64 -1) (pow.f64 (exp.f64 x) x))
(exp.f64 (+.f64 -1 (*.f64 x x)))
1
(+.f64 (*.f64 3 (pow.f64 x 2)) 1)
(fma.f64 3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) 3 1)
(fma.f64 x (*.f64 x 3) 1)
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 9/2 (pow.f64 x 4)) 1))
(fma.f64 3 (*.f64 x x) (fma.f64 9/2 (pow.f64 x 4) 1))
(fma.f64 (*.f64 x x) 3 (fma.f64 (pow.f64 x 4) 9/2 1))
(fma.f64 x (*.f64 x 3) (fma.f64 (pow.f64 x 4) 9/2 1))
(+.f64 (.f64 3 (pow.f64 x 2)) (+.f64 (.f64 9/2 (pow.f64 x 4)) (+.f64 1 (*.f64 9/2 (pow.f64 x 6)))))
(fma.f64 3 (.f64 x x) (+.f64 (fma.f64 9/2 (pow.f64 x 4) 1) (.f64 (pow.f64 x 6) 9/2)))
(fma.f64 (*.f64 x x) 3 (fma.f64 (pow.f64 x 4) 9/2 (fma.f64 (pow.f64 x 6) 9/2 1)))
(fma.f64 (pow.f64 x 4) 9/2 (fma.f64 x (*.f64 x 3) (fma.f64 (pow.f64 x 6) 9/2 1)))
(fma.f64 x (*.f64 x 3) (fma.f64 (pow.f64 x 6) 9/2 (fma.f64 (pow.f64 x 4) 9/2 1)))
(fma.f64 x (*.f64 x 3) (fma.f64 (pow.f64 x 4) 9/2 (fma.f64 (pow.f64 x 6) 9/2 1)))
(exp.f64 (*.f64 3 (pow.f64 x 2)))
(pow.f64 (exp.f64 3) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) 3)
(exp.f64 (*.f64 3 (pow.f64 x 2)))
(pow.f64 (exp.f64 3) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) 3)
(exp.f64 (*.f64 3 (pow.f64 x 2)))
(pow.f64 (exp.f64 3) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) 3)
(exp.f64 (*.f64 3 (pow.f64 x 2)))
(pow.f64 (exp.f64 3) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) 3)
(exp.f64 (*.f64 3 (pow.f64 x 2)))
(pow.f64 (exp.f64 3) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) 3)
(exp.f64 (*.f64 3 (pow.f64 x 2)))
(pow.f64 (exp.f64 3) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) 3)
(exp.f64 (*.f64 3 (pow.f64 x 2)))
(pow.f64 (exp.f64 3) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) 3)
(exp.f64 (*.f64 3 (pow.f64 x 2)))
(pow.f64 (exp.f64 3) (*.f64 x x))
(pow.f64 (exp.f64 (*.f64 x x)) 3)
(pow.f64 (exp.f64 -1) 3)
(exp.f64 -3)
(+.f64 (.f64 3 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 3))
(fma.f64 3 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3))
(fma.f64 3 (.f64 x (.f64 x (pow.f64 (exp.f64 -1) 3))) (pow.f64 (exp.f64 -1) 3))
(.f64 (fma.f64 x (.f64 x 3) 1) (exp.f64 -3))
(+.f64 (.f64 9/2 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 x 4))) (+.f64 (.f64 3 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 x 2))) (pow.f64 (exp.f64 -1) 3)))
(fma.f64 9/2 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1) 3)) (fma.f64 3 (.f64 (*.f64 x x) (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3)))
(fma.f64 9/2 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1) 3)) (fma.f64 3 (.f64 x (*.f64 x (pow.f64 (exp.f64 -1) 3))) (pow.f64 (exp.f64 -1) 3)))
(+.f64 (exp.f64 -3) (.f64 (exp.f64 -3) (fma.f64 x (.f64 x 3) (*.f64 (pow.f64 x 4) 9/2))))
(.f64 (exp.f64 -3) (fma.f64 x (.f64 x 3) (fma.f64 (pow.f64 x 4) 9/2 1)))
(.f64 (fma.f64 x (.f64 x 3) (fma.f64 (pow.f64 x 4) 9/2 1)) (exp.f64 -3))
(+.f64 (.f64 9/2 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 x 4))) (+.f64 (.f64 3 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 x 2))) (+.f64 (.f64 9/2 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 x 6))) (pow.f64 (exp.f64 -1) 3))))
(fma.f64 9/2 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1) 3)) (fma.f64 3 (.f64 (.f64 x x) (pow.f64 (exp.f64 -1) 3)) (fma.f64 9/2 (.f64 (pow.f64 x 6) (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3))))
(fma.f64 9/2 (.f64 (pow.f64 x 4) (pow.f64 (exp.f64 -1) 3)) (fma.f64 3 (.f64 x (.f64 x (pow.f64 (exp.f64 -1) 3))) (fma.f64 9/2 (.f64 (pow.f64 x 6) (pow.f64 (exp.f64 -1) 3)) (pow.f64 (exp.f64 -1) 3))))
(+.f64 (.f64 (fma.f64 (pow.f64 x 6) 9/2 1) (exp.f64 -3)) (.f64 (exp.f64 -3) (fma.f64 x (.f64 x 3) (.f64 (pow.f64 x 4) 9/2))))
(fma.f64 (.f64 x x) (.f64 3 (exp.f64 -3)) (*.f64 (exp.f64 -3) (fma.f64 (pow.f64 x 6) 9/2 (fma.f64 (pow.f64 x 4) 9/2 1))))
(.f64 (exp.f64 -3) (fma.f64 x (.f64 x 3) (fma.f64 (pow.f64 x 6) 9/2 (fma.f64 (pow.f64 x 4) 9/2 1))))
(.f64 (fma.f64 x (.f64 x 3) (fma.f64 (pow.f64 x 4) 9/2 (fma.f64 (pow.f64 x 6) 9/2 1))) (exp.f64 -3))
(.f64 (pow.f64 (exp.f64 -1) 3) (exp.f64 (.f64 3 (pow.f64 x 2))))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (exp.f64 -3))
(exp.f64 (+.f64 (.f64 x (.f64 x 3)) -3))
(.f64 (pow.f64 (exp.f64 -1) 3) (exp.f64 (.f64 3 (pow.f64 x 2))))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (exp.f64 -3))
(exp.f64 (+.f64 (.f64 x (.f64 x 3)) -3))
(.f64 (pow.f64 (exp.f64 -1) 3) (exp.f64 (.f64 3 (pow.f64 x 2))))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (exp.f64 -3))
(exp.f64 (+.f64 (.f64 x (.f64 x 3)) -3))
(.f64 (pow.f64 (exp.f64 -1) 3) (exp.f64 (.f64 3 (pow.f64 x 2))))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (exp.f64 -3))
(exp.f64 (+.f64 (.f64 x (.f64 x 3)) -3))
(.f64 (pow.f64 (exp.f64 -1) 3) (exp.f64 (.f64 3 (pow.f64 x 2))))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (exp.f64 -3))
(exp.f64 (+.f64 (.f64 x (.f64 x 3)) -3))
(.f64 (pow.f64 (exp.f64 -1) 3) (exp.f64 (.f64 3 (pow.f64 x 2))))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (exp.f64 -3))
(exp.f64 (+.f64 (.f64 x (.f64 x 3)) -3))
(.f64 (pow.f64 (exp.f64 -1) 3) (exp.f64 (.f64 3 (pow.f64 x 2))))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (exp.f64 -3))
(exp.f64 (+.f64 (.f64 x (.f64 x 3)) -3))
(.f64 (pow.f64 (exp.f64 -1) 3) (exp.f64 (.f64 3 (pow.f64 x 2))))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 (.f64 x x)) 3) (pow.f64 (exp.f64 -1) 3))
(.f64 (pow.f64 (exp.f64 3) (.f64 x x)) (exp.f64 -3))
(exp.f64 (+.f64 (.f64 x (.f64 x 3)) -3))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.1b	(exp.f64 (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize26.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (cbrt.f64 (exp.f64 -1)) (pow.f64 (exp.f64 x) x))
	0.0b	(pow.f64 (exp.f64 x) x)
✓	1.0b	(cbrt.f64 (exp.f64 -2))
✓	1.0b	(cbrt.f64 (exp.f64 -1))

Compiler

Compiled 40 to 27 computations (32.5% saved)

series3.0ms (0.1%)

Counts

3 → 12

Calls

3 calls:

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

rewrite134.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

787×	`pow1_binary64`
730×	`add-log-exp_binary64`
730×	`log1p-expm1-u_binary64`
730×	`expm1-log1p-u_binary64`
714×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	202	15
2	2223	15

Stop Event

1×	node limit

Counts

3 → 56

Calls

Call 1

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

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

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

864×	`unswap-sqr_binary64`
747×	`distribute-lft-out_binary64`
551×	`fma-def_binary64`
490×	`associate-/l/_binary64`
425×	`associate-/r/_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	28	203
1	71	197
2	186	177
3	737	168
4	2089	168
5	4604	168
6	5300	168
7	6048	168

Stop Event

1×	node limit

Counts

68 → 65

Calls

Call 1

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

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

localize14.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (exp.f64 -1))
✓	0.0b	(pow.f64 (exp.f64 x) (+.f64 x x))
✓	0.2b	(sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x)))

Compiler

Compiled 33 to 11 computations (66.7% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite304.0ms (7.3%)

Algorithm

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

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	33
1	180	33
2	2652	33
0	6	11
1	129	1
2	2035	1
3	6188	1
0	6	11
1	129	1
0	5	9
1	110	1
2	1807	1
3	5821	1
0	5	9
1	110	1
0	9	16
1	180	16
2	2652	16
0	9	16

Stop Event

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

Counts

3 → 8

Calls

Call 1

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

Outputs

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

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

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

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

886×	`distribute-rgt-out_binary64`
705×	`fma-def_binary64`
567×	`distribute-lft-out_binary64`
552×	`associate-l_binary64`
406×	`associate-r_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	42	464
1	106	450
2	265	382
3	801	371
4	3319	339
5	6082	323

Stop Event

1×	node limit

Counts

44 → 32

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

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

eval103.0ms (2.5%)

Compiler: Compiled 3070 to 2313 computations (24.7% saved)

prune70.0ms (1.7%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	216	2	218
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	217	8	225

Error

0.0b

Counts

225 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(exp.f64 -1)
✓	0.1b	(exp.f64 (+.f64 -1 (*.f64 x x)))
✓	0.3b	(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (exp.f64 -1))
✓	0.3b	(cbrt.f64 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (exp.f64 x) (.f64 x 3))))
✓	0.0b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
	1.0b	(.f64 (exp.f64 -2/3) (.f64 (cbrt.f64 (exp.f64 -1)) (pow.f64 (exp.f64 x) x)))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
	2.0b	(.f64 (cbrt.f64 (exp.f64 -2)) (.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (pow.f64 (exp.f64 x) x)))

Compiler

Compiled 78 to 63 computations (19.2% saved)

regimes66.0ms (1.6%)

Counts

12 → 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))
(cbrt.f64 (pow.f64 (exp.f64 (+.f64 -1 (*.f64 x x))) 3))
(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) (+.f64 x x))) (exp.f64 -1))
(.f64 (exp.f64 -2/3) (.f64 (cbrt.f64 (exp.f64 -1)) (pow.f64 (exp.f64 x) x)))
(cbrt.f64 (.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (exp.f64 x) (.f64 x 3))))
(.f64 (cbrt.f64 (exp.f64 -2)) (.f64 (-.f64 (+.f64 1 (exp.f64 -1/3)) 1) (pow.f64 (exp.f64 x) x)))
(.f64 (cbrt.f64 (exp.f64 -2)) (.f64 (cbrt.f64 (exp.f64 -1)) (pow.f64 (exp.f64 x) x)))
(cbrt.f64 (*.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (pow.f64 (exp.f64 x) x) 3)))

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

Calls

9 calls:

16.0ms	x
7.0ms	(-.f64 1 (*.f64 x x))
6.0ms	(*.f64 x x)
6.0ms	(*.f64 x x)
5.0ms	(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)`
0.0b	1	`(*.f64 x x)`

Compiler

Compiled 163 to 110 computations (32.5% saved)

regimes41.0ms (1%)

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

Calls

8 calls:

8.0ms	x
5.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
5.0ms	(*.f64 x x)
4.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(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)

regimes48.0ms (1.1%)

Accuracy

Total -0.6b remaining (-1152.4%)

Threshold costs -0.6b (-1152.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

8 calls:

16.0ms	x
4.0ms	(*.f64 x x)
4.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
4.0ms	(-.f64 1 (*.f64 x x))

Results

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

Compiler

Compiled 64 to 44 computations (31.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`e-exp-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	34
1	16	34
2	18	34

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 26 to 20 computations (23.1% saved)

soundness0.0ms (0%)

end132.0ms (3.2%)

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

Details

analyze7.0ms (0.2%)

sample1.5s (36.6%)

preprocess88.0ms (2.1%)

simplify54.0ms (1.3%)

eval1.0ms (0%)

prune2.0ms (0%)

localize23.0ms (0.6%)

series2.0ms (0%)

rewrite50.0ms (1.2%)

simplify68.0ms (1.6%)

eval9.0ms (0.2%)

prune7.0ms (0.2%)

localize18.0ms (0.4%)

series4.0ms (0.1%)

rewrite71.0ms (1.7%)

simplify60.0ms (1.4%)

localize3.0ms (0.1%)

localize13.0ms (0.3%)

series2.0ms (0%)

rewrite50.0ms (1.2%)

simplify68.0ms (1.6%)

eval62.0ms (1.5%)

prune26.0ms (0.6%)

localize45.0ms (1.1%)

series9.0ms (0.2%)

rewrite99.0ms (2.4%)

simplify92.0ms (2.2%)

localize18.0ms (0.4%)

series2.0ms (0%)

rewrite59.0ms (1.4%)

simplify75.0ms (1.8%)

eval226.0ms (5.4%)

prune20.0ms (0.5%)

localize29.0ms (0.7%)

series8.0ms (0.2%)

rewrite117.0ms (2.8%)

simplify73.0ms (1.7%)

localize8.0ms (0.2%)

localize26.0ms (0.6%)

series3.0ms (0.1%)

rewrite134.0ms (3.2%)

simplify67.0ms (1.6%)

localize14.0ms (0.3%)

series4.0ms (0.1%)

rewrite304.0ms (7.3%)

simplify63.0ms (1.5%)

eval103.0ms (2.5%)

prune70.0ms (1.7%)

regimes66.0ms (1.6%)

regimes41.0ms (1%)

regimes48.0ms (1.1%)

simplify7.0ms (0.2%)

soundness0.0ms (0%)

end132.0ms (3.2%)

Profiling