Details

analyze4.0ms (0.2%)

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
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

Compiler

Compiled 9 to 7 computations (22.2% saved)

sample887.0ms (54.8%)

Results

874.0ms

8256×

body

128

valid

Compiler

Compiled 18 to 14 computations (22.2% saved)

preprocess32.0ms (2%)

Algorithm

2×	egg-herbie

Rules

417×	`times-frac_binary64`
412×	`associate-/l*_binary64`
360×	`associate-/r*_binary64`
350×	`associate-l_binary64`
200×	`distribute-rgt-in_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	1613	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 8 to 6 computations (25% saved)

simplify19.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

417×	`times-frac_binary64`
412×	`associate-/l*_binary64`
360×	`associate-/r*_binary64`
350×	`associate-l_binary64`
200×	`distribute-rgt-in_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	1613	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))

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

3 → 1

Alt Table

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

Compiler

Compiled 25 to 17 computations (32% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

series1.0ms (0.1%)

Counts

1 → 4

Calls

3 calls:

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

rewrite32.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

394×	`pow1_binary64`
361×	`add-log-exp_binary64`
361×	`log1p-expm1-u_binary64`
361×	`expm1-log1p-u_binary64`
353×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	90	7
2	971	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

Outputs

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

simplify35.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

724×	`distribute-lft-out_binary64`
385×	`*-commutative_binary64`
380×	`fma-def_binary64`
341×	`distribute-rgt-out_binary64`
340×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	22	81
1	55	79
2	136	63
3	448	56
4	1828	56
5	3578	56
6	4583	56

Stop Event

1×	node limit

Counts

24 → 27

Calls

Call 1

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

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

prune20.0ms (1.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	25	2	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	2	28

Error

0.0b

Counts

28 → 2

Alt Table

Status	Error	Program
	1.0b	(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
▶	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

Compiler

Compiled 312 to 239 computations (23.4% saved)

localize9.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite35.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

621×	`pow1_binary64`
575×	`add-log-exp_binary64`
575×	`log1p-expm1-u_binary64`
575×	`expm1-log1p-u_binary64`
65×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	135	14
2	1576	14

Stop Event

1×	node limit

Counts

2 → 56

Calls

Call 1

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

simplify27.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

671×	`fma-def_binary64`
486×	`fma-neg_binary64`
341×	`associate-l_binary64`
288×	`distribute-lft-out_binary64`
285×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	30	283
1	80	272
2	191	245
3	650	229
4	2581	227

Stop Event

1×	node limit

Counts

80 → 72

Calls

Call 1

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

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

prune43.0ms (2.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	72	2	74

Error

0.0b

Counts

74 → 2

Alt Table

Status	Error	Program
▶	1.0b	(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)
✓	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))

Compiler

Compiled 969 to 759 computations (21.7% saved)

localize8.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

series7.0ms (0.4%)

Counts

2 → 16

Calls

6 calls:

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

rewrite36.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

644×	`pow1_binary64`
607×	`add-log-exp_binary64`
607×	`log1p-expm1-u_binary64`
607×	`expm1-log1p-u_binary64`
75×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	188	17
2	1712	17

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

Inputs
(pow.f64 (exp.f64 (fma.f64 x x -1)) 3)
(pow.f64 (pow.f64 (exp.f64 (fma.f64 x x -1)) 3) 1/3)

Outputs

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

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

simplify42.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

590×	`distribute-rgt-out_binary64`
332×	`*-commutative_binary64`
214×	`associate-l_binary64`
197×	`fma-def_binary64`
194×	`unswap-sqr_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	37	255
1	99	249
2	320	198
3	1329	190
4	2868	188
5	3358	188
6	4015	188

Stop Event

1×	node limit

Counts

54 → 53

Calls

Call 1

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

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

prune53.0ms (3.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	79	1	80
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	80	2	82

Error

Counts

82 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
▶	2.0b	(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3) 3) 1/3)

Compiler

Compiled 1152 to 930 computations (19.3% saved)

localize10.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series13.0ms (0.8%)

Counts

3 → 36

Calls

9 calls:

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

rewrite40.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

720×	`pow1_binary64`
679×	`log1p-expm1-u_binary64`
679×	`expm1-log1p-u_binary64`
84×	`add-sqr-sqrt_binary64`
82×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	26
1	234	26
2	1994	26

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

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

Outputs

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

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

simplify42.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

609×	`distribute-rgt-out_binary64`
426×	`distribute-lft-in_binary64`
356×	`unswap-sqr_binary64`
317×	`associate-l_binary64`
311×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	55	515
1	154	507
2	491	444
3	2057	429
4	4139	429

Stop Event

1×	node limit

Counts

107 → 96

Calls

Call 1

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

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

prune68.0ms (4.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	123	2	125

Error

Counts

125 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 1 (expm1.f64 (fma.f64 x x -1)))
✓	2.0b	(pow.f64 (pow.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 x x -1))) 3) 3) 1/3)

Compiler

Compiled 2032 to 1687 computations (17% saved)

regimes95.0ms (5.9%)

Accuracy

Total -0.0b remaining (-14.7%)

Threshold costs -0.0b (-14.7%)

Counts

49 → 1

Compiler

Compiled 533 to 407 computations (23.6% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	4294967295
1	12	4294967295

Stop Event

1×

saturated

Calls

Call 1

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

Outputs
(*.f64 (pow.f64 1 1/3) (exp.f64 (fma.f64 x x -1)))

end50.0ms (3.1%)

Stop Event

1×

done

Compiler

Compiled 41 to 33 computations (19.5% saved)

Details

analyze4.0ms (0.2%)

sample887.0ms (54.8%)

preprocess32.0ms (2%)

simplify19.0ms (1.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

series1.0ms (0.1%)

rewrite32.0ms (2%)

simplify35.0ms (2.2%)

prune20.0ms (1.2%)

localize9.0ms (0.5%)

series2.0ms (0.1%)

rewrite35.0ms (2.2%)

simplify27.0ms (1.7%)

prune43.0ms (2.7%)

localize8.0ms (0.5%)

series7.0ms (0.4%)

rewrite36.0ms (2.2%)

simplify42.0ms (2.6%)

prune53.0ms (3.2%)

localize10.0ms (0.6%)

series13.0ms (0.8%)

rewrite40.0ms (2.5%)

simplify42.0ms (2.6%)

prune68.0ms (4.2%)

regimes95.0ms (5.9%)

simplify2.0ms (0.1%)

end50.0ms (3.1%)

Profiling