Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.1s (35%)

Results

1.0s	8256×	body	256	valid
2.0ms	18×	body	256	infinite

Bogosity

preprocess63.0ms (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 (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 2

Calls

Call 1

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

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

eval1.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

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)

localize10.0ms (0.3%)

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 (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite46.0ms (1.5%)

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)))))))))

simplify74.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	151
1	60	131
2	145	119
3	462	112
4	1945	112
5	3890	112
6	5584	112
7	7510	112

Stop Event

1×	node limit

Counts

38 → 35

Calls

Call 1

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

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

eval9.0ms (0.3%)

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

prune6.0ms (0.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

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

Error

0.0b

Counts

36 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
✓	0.1b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
▶	0.1b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
▶	0.1b	(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))
▶	0.9b	(exp.f64 -1)

Compiler

Compiled 37 to 29 computations (21.6% saved)

localize3.0ms (0.1%)

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

localize20.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f64 (+.f64 -1 (*.f64 x x)))
✓	1.0b	(log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
✓	1.0b	(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))

Compiler

Compiled 32 to 17 computations (46.9% saved)

series41.0ms (1.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
37.0ms	x	@	inf	(log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
2.0ms	x	@	0	(log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
0.0ms	x	@	0	(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))
0.0ms	x	@	-inf	(log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
0.0ms	x	@	inf	(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))

rewrite55.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

673×	`pow1_binary64`
626×	`expm1-log1p-u_binary64`
625×	`add-log-exp_binary64`
625×	`log1p-expm1-u_binary64`
611×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	143	23
2	1711	23

Stop Event

1×	node limit

Counts

3 → 63

Calls

Call 1

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

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

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

simplify40.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

786×	`associate-*l/_binary64`
728×	`associate-/l*_binary64`
638×	`associate-*r/_binary64`
610×	`associate-/r*_binary64`
258×	`distribute-rgt-in_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	620
1	158	551
2	471	516
3	2194	509

Stop Event

1×	node limit

Counts

99 → 58

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))
(log.f64 (+.f64 1 (exp.f64 -1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))) (pow.f64 x 4)))))
(+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 -360 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (+.f64 (.f64 120 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1)))) (.f64 240 (/.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (+.f64 1 (exp.f64 -1)) 3))))) (pow.f64 x 6))) (+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))) (pow.f64 x 4))))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4)))))
(+.f64 (.f64 1/6 (.f64 (exp.f64 -1) (pow.f64 x 6))) (+.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 (exp.f64 -1) (.f64 1/2 (*.f64 (exp.f64 -1) (pow.f64 x 4))))))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))
(exp.f64 (-.f64 (pow.f64 x 2) 1))

Outputs
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (+.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 (exp.f64 -1) (.f64 1/6 (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6)))))
(exp.f64 (-.f64 (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))
(log.f64 (+.f64 1 (exp.f64 -1)))
(log1p.f64 (exp.f64 -1))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (/.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))))
(+.f64 (log1p.f64 (exp.f64 -1)) (/.f64 (.f64 (exp.f64 -1) (.f64 x x)) (+.f64 (exp.f64 -1) 1)))
(fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (*.f64 x x) (log1p.f64 (exp.f64 -1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))) (pow.f64 x 4)))))
(+.f64 (log1p.f64 (exp.f64 -1)) (+.f64 (/.f64 (.f64 (exp.f64 -1) (.f64 x x)) (+.f64 (exp.f64 -1) 1)) (.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1))))))))
(+.f64 (log1p.f64 (exp.f64 -1)) (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 12 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (/.f64 -12 (/.f64 (pow.f64 (+.f64 (exp.f64 -1) 1) 2) (exp.f64 -2))))) (/.f64 (.f64 (exp.f64 -1) (*.f64 x x)) (+.f64 (exp.f64 -1) 1))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 (exp.f64 -1) 1) 2) (exp.f64 -2))) (.f64 1/2 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)))) (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (.f64 x x) (log1p.f64 (exp.f64 -1))))
(fma.f64 (pow.f64 x 4) (+.f64 (.f64 (/.f64 -1/2 (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (exp.f64 -2)) (/.f64 1/2 (/.f64 (+.f64 (exp.f64 -1) 1) (exp.f64 -1)))) (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (.f64 x x) (log1p.f64 (exp.f64 -1))))
(+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 -360 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (+.f64 (.f64 120 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1)))) (.f64 240 (/.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (+.f64 1 (exp.f64 -1)) 3))))) (pow.f64 x 6))) (+.f64 (log.f64 (+.f64 1 (exp.f64 -1))) (+.f64 (/.f64 (.f64 (exp.f64 -1) (pow.f64 x 2)) (+.f64 1 (exp.f64 -1))) (.f64 1/24 (.f64 (+.f64 (.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 1 (exp.f64 -1)) 2))) (.f64 12 (/.f64 (exp.f64 -1) (+.f64 1 (exp.f64 -1))))) (pow.f64 x 4))))))
(fma.f64 1/720 (.f64 (pow.f64 x 6) (fma.f64 -360 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (fma.f64 120 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (.f64 240 (/.f64 (pow.f64 (exp.f64 -1) 3) (pow.f64 (+.f64 (exp.f64 -1) 1) 3)))))) (+.f64 (log1p.f64 (exp.f64 -1)) (+.f64 (/.f64 (.f64 (exp.f64 -1) (.f64 x x)) (+.f64 (exp.f64 -1) 1)) (.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 -12 (/.f64 (pow.f64 (exp.f64 -1) 2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (*.f64 12 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)))))))))
(+.f64 (fma.f64 1/24 (.f64 (pow.f64 x 4) (fma.f64 12 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (/.f64 -12 (/.f64 (pow.f64 (+.f64 (exp.f64 -1) 1) 2) (exp.f64 -2))))) (/.f64 (.f64 (exp.f64 -1) (.f64 x x)) (+.f64 (exp.f64 -1) 1))) (fma.f64 (.f64 1/720 (fma.f64 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) -360 (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) 120 (/.f64 (*.f64 240 (pow.f64 (exp.f64 -1) 3)) (pow.f64 (+.f64 (exp.f64 -1) 1) 3))))) (pow.f64 x 6) (log1p.f64 (exp.f64 -1))))
(fma.f64 (pow.f64 x 6) (.f64 1/720 (fma.f64 (/.f64 (exp.f64 -2) (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) -360 (fma.f64 240 (pow.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) 3) (.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) 120)))) (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/2 (/.f64 (pow.f64 (+.f64 (exp.f64 -1) 1) 2) (exp.f64 -2))) (.f64 1/2 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)))) (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (.f64 x x) (log1p.f64 (exp.f64 -1)))))
(fma.f64 (pow.f64 x 6) (.f64 1/720 (fma.f64 240 (/.f64 (exp.f64 -3) (pow.f64 (+.f64 (exp.f64 -1) 1) 3)) (.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (+.f64 (.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) -360) 120)))) (fma.f64 (pow.f64 x 4) (+.f64 (.f64 (/.f64 -1/2 (pow.f64 (+.f64 (exp.f64 -1) 1) 2)) (exp.f64 -2)) (/.f64 1/2 (/.f64 (+.f64 (exp.f64 -1) 1) (exp.f64 -1)))) (fma.f64 (/.f64 (exp.f64 -1) (+.f64 (exp.f64 -1) 1)) (*.f64 x x) (log1p.f64 (exp.f64 -1)))))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(log.f64 (+.f64 1 (exp.f64 (-.f64 (pow.f64 x 2) 1))))
(log1p.f64 (exp.f64 (+.f64 (*.f64 x x) -1)))
(log1p.f64 (exp.f64 (fma.f64 x x -1)))
(exp.f64 -1)
(+.f64 (*.f64 (exp.f64 -1) (pow.f64 x 2)) (exp.f64 -1))
(fma.f64 (exp.f64 -1) (*.f64 x x) (exp.f64 -1))
(.f64 (+.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 (exp.f64 -1) (.f64 1/6 (pow.f64 x 6)) (.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (*.f64 1/2 (pow.f64 x 4)))))
(.f64 (exp.f64 -1) (+.f64 (fma.f64 x x 1) (+.f64 (.f64 1/2 (pow.f64 x 4)) (*.f64 1/6 (pow.f64 x 6)))))
(exp.f64 (-.f64 (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))

localize11.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite111.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	21
1	165	14
2	2069	14

Stop Event

1×	node limit

Counts

2 → 54

Calls

Call 1

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

Outputs

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

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

simplify67.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	29	310
1	76	266
2	194	245
3	651	229
4	2618	227
5	6452	227

Stop Event

1×	node limit

Counts

78 → 72

Calls

Call 1

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

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

localize21.0ms (0.7%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 19 to 9 computations (52.6% saved)

series4.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite67.0ms (2.2%)

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))))))

simplify98.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	24	151
1	60	131
2	145	119
3	462	112
4	1945	112
5	3890	112
6	5584	112
7	7510	112

Stop Event

1×	node limit

Counts

30 → 26

Calls

Call 1

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

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

eval169.0ms (5.6%)

Compiler: Compiled 2062 to 1640 computations (20.5% saved)

prune39.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	156	5	161

Error

0.0b

Counts

161 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
✓	0.1b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
✓	0.1b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.9b	(exp.f64 -1)

Compiler

Compiled 36 to 28 computations (22.2% saved)

localize21.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 18 to 9 computations (50% saved)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite77.0ms (2.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify88.0ms (2.9%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

50 → 44

Calls

Call 1

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

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

eval23.0ms (0.8%)

Compiler: Compiled 465 to 314 computations (32.5% saved)

prune15.0ms (0.5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	43	6	49

Error

0.0b

Counts

49 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
✓	0.1b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.9b	(exp.f64 -1)
▶	0.1b	(exp.f64 (+.f64 -1 (*.f64 x x)))
▶	0.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))) (exp.f64 -1))

Compiler

Compiled 52 to 37 computations (28.8% saved)

localize16.0ms (0.5%)

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)

localize37.0ms (1.2%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 53 to 19 computations (64.2% saved)

series16.0ms (0.5%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
5.0ms	x	@	-inf	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
4.0ms	x	@	inf	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
2.0ms	x	@	0	(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
1.0ms	x	@	inf	(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))
1.0ms	x	@	-inf	(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))

rewrite102.0ms (3.4%)

Algorithm

1×	batch-egg-rewrite

Rules

563×	`pow1_binary64`
527×	`add-log-exp_binary64`
526×	`log1p-expm1-u_binary64`
526×	`expm1-log1p-u_binary64`
511×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	25
1	164	25
2	1572	25

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2)
(cbrt.f64 (pow.f64 (exp.f64 x) x))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x)))

Outputs

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

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

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

simplify150.0ms (5%)

Algorithm

1×	egg-herbie

Rules

585×	`distribute-rgt-out_binary64`
575×	`fma-def_binary64`
422×	`associate-l_binary64`
390×	`distribute-lft-out_binary64`
344×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	46	349
1	114	339
2	269	331
3	778	329
4	2903	329
5	4937	329
6	6449	329

Stop Event

1×	node limit

Counts

90 → 78

Calls

Call 1

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

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

eval129.0ms (4.3%)

Compiler: Compiled 2923 to 1495 computations (48.9% saved)

prune21.0ms (0.7%)

Pruning

8 alts after pruning (3 fresh and 5 done)

	Pruned	Kept	Total
New	153	3	156
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	154	8	162

Error

0.0b

Counts

162 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.1b	(pow.f64 (E.f64) (+.f64 -1 (*.f64 x x)))
	0.0b	(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 3) (exp.f64 -1))
✓	0.1b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
	0.0b	(.f64 (.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (*.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 x) x)) 2) (cbrt.f64 (pow.f64 (exp.f64 x) x))))) (exp.f64 -1))
✓	0.9b	(exp.f64 -1)
✓	0.1b	(exp.f64 (+.f64 -1 (*.f64 x x)))
	0.0b	(.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) (exp.f64 -1))

Compiler

Compiled 84 to 60 computations (28.6% saved)

regimes72.0ms (2.4%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (.f64 x 1/2)) (exp.f64 -1))

Calls

9 calls:

46.0ms	(-.f64 1 (*.f64 x x))
7.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))

Results

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

Compiler

Compiled 160 to 95 computations (40.6% saved)

regimes26.0ms (0.9%)

Counts

7 → 1

Calls

Call 1

Inputs
(exp.f64 -1)
(exp.f64 (+.f64 -1 (*.f64 x x)))
(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
(+.f64 1 (expm1.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))
(expm1.f64 (log1p.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))))

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

Calls

9 calls:

5.0ms	x
4.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))
3.0ms	(*.f64 x x)
2.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))

Results

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

Compiler

Compiled 98 to 65 computations (33.7% saved)

regimes83.0ms (2.8%)

Counts

5 → 1

Calls

Call 1

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

65.0ms	(-.f64 1 (*.f64 x x))
4.0ms	x
2.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(neg.f64 (-.f64 1 (*.f64 x x)))

Results

Error	Segments	Branch
0.1b	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 79 to 53 computations (32.9% saved)

regimes20.0ms (0.7%)

Accuracy

Total -0.8b remaining (-1237%)

Threshold costs -0.8b (-1237%)

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

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

Calls

8 calls:

4.0ms	x
3.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(*.f64 x x)
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))`
0.1b	1	`(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 72 to 49 computations (31.9% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	51
1	24	51
2	26	51

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

Compiler

Compiled 38 to 30 computations (21.1% saved)

soundness0.0ms (0%)

end38.0ms (1.2%)

Compiler: Compiled 34 to 24 computations (29.4% saved)

Details

analyze4.0ms (0.1%)

sample1.1s (35%)

preprocess63.0ms (2.1%)

simplify54.0ms (1.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize10.0ms (0.3%)

series2.0ms (0.1%)

rewrite46.0ms (1.5%)

simplify74.0ms (2.5%)

eval9.0ms (0.3%)

prune6.0ms (0.2%)

localize3.0ms (0.1%)

localize20.0ms (0.6%)

series41.0ms (1.4%)

rewrite55.0ms (1.8%)

simplify40.0ms (1.3%)

localize11.0ms (0.3%)

series2.0ms (0.1%)

rewrite111.0ms (3.7%)

simplify67.0ms (2.2%)

localize21.0ms (0.7%)

series4.0ms (0.1%)

rewrite67.0ms (2.2%)

simplify98.0ms (3.2%)

eval169.0ms (5.6%)

prune39.0ms (1.3%)

localize21.0ms (0.7%)

series5.0ms (0.2%)

rewrite77.0ms (2.6%)

simplify88.0ms (2.9%)

eval23.0ms (0.8%)

prune15.0ms (0.5%)

localize16.0ms (0.5%)

localize37.0ms (1.2%)

series16.0ms (0.5%)

rewrite102.0ms (3.4%)

simplify150.0ms (5%)

eval129.0ms (4.3%)

prune21.0ms (0.7%)

regimes72.0ms (2.4%)

regimes26.0ms (0.9%)

regimes83.0ms (2.8%)

regimes20.0ms (0.7%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end38.0ms (1.2%)

Profiling