Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample1.5s (37.3%)

Results

1.5s	8256×	body	256	valid
2.0ms	16×	body	256	invalid

preprocess111.0ms (2.7%)

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)

simplify76.0ms (1.9%)

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

0.0b

Counts

3 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 8 to 6 computations (25% saved)

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 24 to 12 computations (50% saved)

series3.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite65.0ms (1.6%)

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)))))))))

simplify85.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

38 → 35

Calls

Call 1

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

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

eval16.0ms (0.4%)

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

prune80.0ms (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
▶	2.0b	(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)
▶	0.0b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
▶	63.3b	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
✓	0.0b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
▶	1.1b	(exp.f64 -1)

Compiler

Compiled 45 to 34 computations (24.4% saved)

localize6.0ms (0.1%)

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

localize49.0ms (1.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 26 to 14 computations (46.2% saved)

series4.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(expm1.f64 (+.f64 -1 (*.f64 x x)))
1.0ms	x	@	0	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
1.0ms	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	(expm1.f64 (+.f64 -1 (*.f64 x x)))

rewrite82.0ms (2%)

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)))))

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)))))

simplify116.0ms (2.9%)

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))

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 34 to 19 computations (44.1% saved)

series18.0ms (0.4%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
7.0ms	x	@	-inf	(exp.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	x	@	0	(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)
2.0ms	x	@	inf	(cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
2.0ms	x	@	0	(cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x))))
2.0ms	x	@	inf	(pow.f64 (cbrt.f64 (exp.f64 (+.f64 -1 (*.f64 x x)))) 3)

rewrite75.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

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

Outputs

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

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

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

simplify75.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	772
1	332	634
2	1234	553
3	7285	553

Stop Event

1×	node limit

Counts

108 → 76

Calls

Call 1

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

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

localize18.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 38 to 20 computations (47.4% saved)

series8.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	x	@	0	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
1.0ms	x	@	0	(exp.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))))
1.0ms	x	@	inf	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
0.0ms	x	@	-inf	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
0.0ms	x	@	inf	(exp.f64 (sqrt.f64 (+.f64 -1 (*.f64 x x))))

rewrite118.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 37

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

61 → 55

Calls

Call 1

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

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

eval192.0ms (4.7%)

Compiler: Compiled 3786 to 3140 computations (17.1% saved)

prune54.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	202	1	203
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	203	5	208

Error

0.0b

Counts

208 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	63.3b	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
✓	0.0b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
▶	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
✓	1.1b	(exp.f64 -1)

Compiler

Compiled 43 to 32 computations (25.6% saved)

localize46.0ms (1.1%)

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)

series46.0ms (1.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
4.0ms	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	(pow.f64 (exp.f64 x) x)
1.0ms	x	@	0	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))

rewrite65.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 26

Calls

Call 1

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

Outputs

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

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

simplify154.0ms (3.8%)

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 (0.6%)

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

prune14.0ms (0.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	41	3	44
Fresh	0	0	0
Picked	0	1	1
Done	1	3	4
Total	42	7	49

Error

0.0b

Counts

49 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	63.3b	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
▶	0.0b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.0b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
▶	0.0b	(exp.f64 (+.f64 -1 (*.f64 x x)))
▶	0.0b	(.f64 (.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x))) (exp.f64 -1))
✓	1.1b	(exp.f64 -1)

Compiler

Compiled 65 to 45 computations (30.8% saved)

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 8 computations (52.9% saved)

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 19 to 9 computations (52.6% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

545×	`pow1_binary64`
521×	`add-sqr-sqrt_binary64`
501×	`add-log-exp_binary64`
501×	`log1p-expm1-u_binary64`
501×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	129	13
2	1432	13

Stop Event

1×	node limit

Counts

2 → 32

Calls

Call 1

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

Outputs

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

((#(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 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 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))))))

simplify63.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

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

Stop Event

1×	node limit

Counts

56 → 48

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))

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 41 to 11 computations (73.2% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite127.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

669×	`pow1_binary64`
617×	`add-log-exp_binary64`
617×	`log1p-expm1-u_binary64`
617×	`expm1-log1p-u_binary64`
598×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	171	23
2	1750	23

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs

(*.f64 (sqrt.f64 (pow.f64 (exp.f64 x) x)) (sqrt.f64 (pow.f64 (exp.f64 x) x)))

(sqrt.f64 (pow.f64 (exp.f64 x) x))

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

Outputs

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

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

simplify78.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

691×	`fma-def_binary64`
648×	`distribute-rgt-out_binary64`
559×	`associate-l_binary64`
517×	`distribute-lft-out_binary64`
388×	`associate-r_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	42	362
1	104	330
2	268	310
3	818	305
4	3265	305
5	5741	305
6	6696	305

Stop Event

1×	node limit

Counts

95 → 84

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))
1
(+.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 6)))))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (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 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x 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 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (.f64 (.f64 x x) 1/2))
(fma.f64 (*.f64 x x) 1/2 1)
(fma.f64 x (*.f64 x 1/2) 1)
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 1 (.f64 1/2 (pow.f64 x 2))))
(fma.f64 1/8 (pow.f64 x 4) (+.f64 1 (.f64 (.f64 x x) 1/2)))
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (*.f64 x x) 1/2 1))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/8 1))
(+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (*.f64 1/48 (pow.f64 x 6)))))
(fma.f64 1/8 (pow.f64 x 4) (+.f64 1 (fma.f64 1/2 (.f64 x x) (.f64 (pow.f64 x 6) 1/48))))
(+.f64 (fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (.f64 x x) 1/2 1)) (.f64 (pow.f64 x 6) 1/48))
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 6) 1/48 1)))
(fma.f64 x (*.f64 x 1/2) (fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (pow.f64 x 6) 1/48 1)))
(fma.f64 (pow.f64 x 4) 1/8 (fma.f64 (pow.f64 x 6) 1/48 (fma.f64 (*.f64 x x) 1/2 1)))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (pow.f64 (exp.f64 x) x))
(sqrt.f64 (exp.f64 (pow.f64 x 2)))
(sqrt.f64 (exp.f64 (*.f64 x x)))
(sqrt.f64 (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 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 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 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 1/2 (pow.f64 x 4) (.f64 1/6 (pow.f64 x 6)))))
(*.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 (fma.f64 1/2 (pow.f64 x 4) (fma.f64 1/6 (pow.f64 x 6) (fma.f64 x x 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))

eval209.0ms (5.1%)

Compiler: Compiled 3599 to 1987 computations (44.8% saved)

prune55.0ms (1.4%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	250	2	252
Fresh	0	0	0
Picked	1	0	1
Done	0	6	6
Total	251	8	259

Error

0.0b

Counts

259 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.0b	(*.f64 (pow.f64 (pow.f64 (exp.f64 x) 2) (/.f64 x 2)) (exp.f64 -1))
	2.6b	(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1)))) 2) 3) (cbrt.f64 (exp.f64 (fma.f64 x x -1))))
✓	63.3b	(pow.f64 (exp.f64 (sqrt.f64 (+.f64 -1 (.f64 x x)))) (sqrt.f64 (+.f64 -1 (.f64 x x))))
✓	0.0b	(.f64 (exp.f64 (.f64 x x)) (exp.f64 -1))
✓	0.0b	(+.f64 1 (expm1.f64 (+.f64 -1 (*.f64 x x))))
✓	0.0b	(*.f64 (pow.f64 (exp.f64 x) x) (exp.f64 -1))
✓	0.0b	(exp.f64 (+.f64 -1 (*.f64 x x)))
✓	1.1b	(exp.f64 -1)

Compiler

Compiled 81 to 62 computations (23.5% saved)

regimes80.0ms (2%)

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

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

Calls

9 calls:

34.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))
19.0ms	(*.f64 x x)
7.0ms	x
3.0ms	(*.f64 x x)
3.0ms	(-.f64 1 (*.f64 x x))

Results

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

Compiler

Compiled 156 to 101 computations (35.3% saved)

regimes93.0ms (2.3%)

Accuracy

Total -1.1b remaining (-2676.9%)

Threshold costs -1.1b (-2676.9%)

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

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

Calls

8 calls:

52.0ms	x
27.0ms	(*.f64 x x)
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(-.f64 1 (*.f64 x x))
2.0ms	(exp.f64 (neg.f64 (-.f64 1 (*.f64 x x))))

Results

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

Compiler

Compiled 79 to 53 computations (32.9% saved)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	12	23

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 18 to 14 computations (22.2% saved)

soundness0.0ms (0%)

end50.0ms (1.2%)

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

Details

analyze5.0ms (0.1%)

sample1.5s (37.3%)

preprocess111.0ms (2.7%)

simplify76.0ms (1.9%)

eval1.0ms (0%)

prune2.0ms (0%)

localize18.0ms (0.4%)

series3.0ms (0.1%)

rewrite65.0ms (1.6%)

simplify85.0ms (2.1%)

eval16.0ms (0.4%)

prune80.0ms (2%)

localize6.0ms (0.1%)

localize49.0ms (1.2%)

series4.0ms (0.1%)

rewrite82.0ms (2%)

simplify116.0ms (2.9%)

localize17.0ms (0.4%)

series18.0ms (0.4%)

rewrite75.0ms (1.8%)

simplify75.0ms (1.8%)

localize18.0ms (0.4%)

series8.0ms (0.2%)

rewrite118.0ms (2.9%)

simplify52.0ms (1.3%)

eval192.0ms (4.7%)

prune54.0ms (1.3%)

localize46.0ms (1.1%)

series46.0ms (1.1%)

rewrite65.0ms (1.6%)

simplify154.0ms (3.8%)

eval23.0ms (0.6%)

prune14.0ms (0.3%)

localize8.0ms (0.2%)

localize12.0ms (0.3%)

series2.0ms (0.1%)

rewrite55.0ms (1.4%)

simplify63.0ms (1.5%)

localize16.0ms (0.4%)

series3.0ms (0.1%)

rewrite127.0ms (3.1%)

simplify78.0ms (1.9%)

eval209.0ms (5.1%)

prune55.0ms (1.4%)

regimes80.0ms (2%)

regimes93.0ms (2.3%)

simplify6.0ms (0.1%)

soundness0.0ms (0%)

end50.0ms (1.2%)

Profiling