Details

analyze4.0ms (0.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample755.0ms (54%)

Results

743.0ms

8256×

body

128

valid

preprocess16.0ms (1.1%)

Algorithm

2×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	10	8
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 8 to 5 computations (37.5% saved)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`1-exp_binary64`
1×	`fma-def_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	8
1	10	8

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 x (+.f64 (*.f64 x x) 1))

Outputs
(/.f64 x (+.f64 (*.f64 x x) 1))
(/.f64 x (fma.f64 x x 1))

prune3.0ms (0.2%)

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

16.2b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	16.2b	(/.f64 x (fma.f64 x x 1))

Compiler

Compiled 28 to 16 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	16.2b	(/.f64 x (fma.f64 x x 1))

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite33.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

499×	`pow1_binary64`
462×	`add-log-exp_binary64`
462×	`log1p-expm1-u_binary64`
462×	`expm1-log1p-u_binary64`
452×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	98	8
2	1214	8

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f64 x (fma.f64 x x 1))

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

Outputs

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

simplify29.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

475×	`fma-def_binary64`
420×	`times-frac_binary64`
268×	`sub-neg_binary64`
259×	`associate-l_binary64`
219×	`fma-neg_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	27	184
1	75	180
2	197	180
3	552	180
4	1468	180
5	3917	180

Stop Event

1×	node limit

Counts

43 → 45

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3)))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7)))))
(+.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))

prune26.0ms (1.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	43	3	46

Error

Counts

46 → 3

Alt Table

Status	Error	Program
▶	33.1b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
✓	16.2b	(/.f64 x (fma.f64 x x 1))
	51.7b	(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)

Compiler

Compiled 586 to 401 computations (31.6% saved)

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (pow.f64 x 7))
✓	0.1b	(/.f64 1 (pow.f64 x 5))
✓	0.3b	(/.f64 1 (pow.f64 x 3))
✓	23.9b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))

series6.0ms (0.4%)

Counts

4 → 9

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 1 (pow.f64 x 3))
1.0ms	x	@	0	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
1.0ms	x	@	0	(/.f64 1 (pow.f64 x 7))
1.0ms	x	@	0	(/.f64 1 (pow.f64 x 5))
0.0ms	x	@	inf	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))

rewrite46.0ms (3.3%)

Algorithm

1×	batch-egg-rewrite

Rules

200×	`add-sqr-sqrt_binary64`
191×	`add-log-exp_binary64`
191×	`log1p-expm1-u_binary64`
191×	`expm1-log1p-u_binary64`
189×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	34
1	403	34

Stop Event

1×	node limit

Counts

4 → 121

Calls

Call 1

Inputs
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 (pow.f64 x 3))
(/.f64 1 (pow.f64 x 5))
(/.f64 1 (pow.f64 x 7))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x -5) (-.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -5) (/.f64 1 x)) (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (pow.f64 x -5) (-.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 x -7)))) (fma.f64 (neg.f64 (hypot.f64 (pow.f64 x -7/2) (pow.f64 x -3/2))) (hypot.f64 (pow.f64 x -7/2) (pow.f64 x -3/2)) (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 1 (+.f64 (pow.f64 x -5) (/.f64 1 x)) (neg.f64 (.f64 (+.f64 (pow.f64 x -3) (pow.f64 x -7)) 1))) (fma.f64 (neg.f64 (+.f64 (pow.f64 x -3) (pow.f64 x -7))) 1 (.f64 (+.f64 (pow.f64 x -3) (pow.f64 x -7)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 (pow.f64 x -5) (/.f64 1 x)) 2)) (cbrt.f64 (+.f64 (pow.f64 x -5) (/.f64 1 x))) (neg.f64 (.f64 (+.f64 (pow.f64 x -3) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 x) (pow.f64 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -2) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -3/2) (pow.f64 x -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x -2)) 3) (/.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x -1/2) 3) (pow.f64 (pow.f64 x -1/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -3) (pow.f64 (cbrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) -3) (pow.f64 (sqrt.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x 3/2) -1) (pow.f64 (pow.f64 x 3/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 x) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 3) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -3/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -9) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 3) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -9))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -3 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (neg.f64 (log.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) -3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -3 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -10)) (cbrt.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -5/2) (pow.f64 x -5/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -5) (pow.f64 (cbrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) -5) (pow.f64 (sqrt.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x 10)) -1) (pow.f64 (cbrt.f64 (pow.f64 x 5)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x 5/2) -1) (pow.f64 (pow.f64 x 5/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -5)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 5) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -5)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -5/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -15) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 5) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -15))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -5 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) -5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 5 (log.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (*.f64 -5 (log.f64 x)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 x -7))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (pow.f64 x -7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (pow.f64 x -14)) (cbrt.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 x -7/2) (pow.f64 x -7/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) -7) (pow.f64 (cbrt.f64 x) -7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (sqrt.f64 x) -7) (pow.f64 (sqrt.f64 x) -7))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (pow.f64 x 14)) -1) (pow.f64 (cbrt.f64 (pow.f64 x 7)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (pow.f64 x 7/2) -1) (pow.f64 (pow.f64 x 7/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x -7)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 7) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -7) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (pow.f64 x -7)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -7/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x -21) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 x 7) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 x -14))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 x -7))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 x -21))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 x -7)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 -7 (log.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 x) -7))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (pow.f64 x 7)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 -7 (log.f64 x)) 1))))))

simplify33.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

471×	`associate-l_binary64`
405×	`associate-/l/_binary64`
331×	`times-frac_binary64`
248×	`associate-r_binary64`
198×	`unswap-sqr_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	126
1	51	126
2	96	126
3	217	126
4	490	126
5	1378	126
6	4960	126

Stop Event

1×	node limit

Counts

130 → 131

Calls

Call 1

Inputs
(/.f64 -1 (pow.f64 x 7))
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))

Outputs
(/.f64 -1 (pow.f64 x 7))
(-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 7)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7)))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))) (/.f64 1 (pow.f64 x 7)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 -1 (pow.f64 x 7)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 -1 (pow.f64 x 3)) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 7))))
(-.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 (pow.f64 x 7)) (/.f64 1 (pow.f64 x 3))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))

prune110.0ms (7.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	131	3	134

Error

Counts

134 → 3

Alt Table

Status	Error	Program
✓	33.1b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
✓	16.2b	(/.f64 x (fma.f64 x x 1))
▶	51.7b	(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)

Compiler

Compiled 3375 to 2649 computations (21.5% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f64 (/.f64 x (fma.f64 x x 1)) 3)
	16.2b	(/.f64 x (fma.f64 x x 1))
✓	41.5b	(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)

series6.0ms (0.4%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	-inf	(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
1.0ms	x	@	inf	(pow.f64 (/.f64 x (fma.f64 x x 1)) 3)
1.0ms	x	@	0	(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
0.0ms	x	@	inf	(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)
0.0ms	x	@	-inf	(pow.f64 (/.f64 x (fma.f64 x x 1)) 3)

rewrite44.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

768×	`pow1_binary64`
727×	`log1p-expm1-u_binary64`
727×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`
78×	`add-log-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	199	19
2	2036	19

Stop Event

1×	node limit

Counts

2 → 78

Calls

Call 1

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

Outputs

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

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

simplify27.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

684×	`associate-/r*_binary64`
572×	`fma-def_binary64`
466×	`associate-l_binary64`
169×	`sub-neg_binary64`
143×	`associate-/l/_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	72	484
1	204	461
2	617	460
3	1855	460

Stop Event

1×	node limit

Counts

102 → 114

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(-.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 5))) (.f64 -1 (/.f64 (cbrt.f64 -1) x))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -1/3 (/.f64 (-.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 7)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 5))) (.f64 -1 (/.f64 (cbrt.f64 -1) x)))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))
(pow.f64 x 3)
(+.f64 (*.f64 -3 (pow.f64 x 5)) (pow.f64 x 3))
(+.f64 (.f64 6 (pow.f64 x 7)) (+.f64 (.f64 -3 (pow.f64 x 5)) (pow.f64 x 3)))
(+.f64 (.f64 6 (pow.f64 x 7)) (+.f64 (.f64 -3 (pow.f64 x 5)) (+.f64 (pow.f64 x 3) (*.f64 -10 (pow.f64 x 9)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 5))) (*.f64 10 (/.f64 1 (pow.f64 x 9)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 5))) (*.f64 10 (/.f64 1 (pow.f64 x 9)))))

Outputs
x
(+.f64 (*.f64 -1 (pow.f64 x 3)) x)
(fma.f64 -1 (pow.f64 x 3) x)
(-.f64 x (pow.f64 x 3))
(+.f64 (*.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) x))
(fma.f64 -1 (pow.f64 x 3) (+.f64 x (pow.f64 x 5)))
(+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 3)))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
(+.f64 (.f64 -1 (pow.f64 x 3)) (+.f64 (pow.f64 x 5) (+.f64 (.f64 -1 (pow.f64 x 7)) x)))
(fma.f64 -1 (pow.f64 x 3) (+.f64 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 7) x)))
(+.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (-.f64 x (pow.f64 x 3)))
(-.f64 (+.f64 (pow.f64 x 5) (-.f64 x (pow.f64 x 7))) (pow.f64 x 3))
(+.f64 x (-.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 7)) (pow.f64 x 3)))
(/.f64 1 x)
(-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 x) (/.f64 -1 (pow.f64 x 3)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (/.f64 1 (pow.f64 x 3)))
(+.f64 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 5))) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
(-.f64 (+.f64 (/.f64 1 x) (-.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 (pow.f64 x 3)))) (/.f64 1 (pow.f64 x 7)))
(+.f64 (/.f64 1 x) (+.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 -1 (pow.f64 x 3))) (/.f64 -1 (pow.f64 x 7))))
(+.f64 (/.f64 1 x) (+.f64 (/.f64 1 (pow.f64 x 5)) (+.f64 (/.f64 -1 (pow.f64 x 3)) (/.f64 -1 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (cbrt.f64 -1) x))
(neg.f64 (/.f64 (cbrt.f64 -1) x))
(/.f64 (neg.f64 (cbrt.f64 -1)) x)
(-.f64 (.f64 -1 (/.f64 (cbrt.f64 -1) x)) (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))
(-.f64 (neg.f64 (/.f64 (cbrt.f64 -1) x)) (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))))
(fma.f64 -1 (/.f64 (cbrt.f64 -1) x) (/.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))))
(-.f64 (/.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (cbrt.f64 -1) x))
(-.f64 (/.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) x))
(-.f64 (+.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 5))) (.f64 -1 (/.f64 (cbrt.f64 -1) x))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))
(+.f64 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (neg.f64 (/.f64 (cbrt.f64 -1) x)) (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(+.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) x)) (/.f64 -1 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cbrt.f64 -1) 2)) (-.f64 (/.f64 (/.f64 -1 (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2)) (/.f64 (cbrt.f64 -1) x)))
(-.f64 (+.f64 (.f64 -1/3 (/.f64 (-.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 7)))) (+.f64 (/.f64 1 (.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 5))) (.f64 -1 (/.f64 (cbrt.f64 -1) x)))) (/.f64 1 (*.f64 (pow.f64 (cbrt.f64 -1) 2) (pow.f64 x 3))))
(-.f64 (fma.f64 -1/3 (/.f64 (-.f64 4 (/.f64 1 (pow.f64 (cbrt.f64 -1) 6))) (.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -1) 2))) (+.f64 (neg.f64 (/.f64 (cbrt.f64 -1) x)) (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))))) (/.f64 1 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (+.f64 (-.f64 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) x)) (/.f64 -1 (.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -1) 2)))) (/.f64 -1 (*.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (/.f64 (/.f64 1 (pow.f64 x 5)) (pow.f64 (cbrt.f64 -1) 2)) (-.f64 (-.f64 (/.f64 -1 (*.f64 (pow.f64 x 7) (pow.f64 (cbrt.f64 -1) 2))) (/.f64 (cbrt.f64 -1) x)) (/.f64 (/.f64 1 (pow.f64 x 3)) (pow.f64 (cbrt.f64 -1) 2))))
(+.f64 (/.f64 1 (.f64 (pow.f64 x 5) (pow.f64 (cbrt.f64 -1) 2))) (-.f64 (-.f64 (/.f64 (/.f64 -1 (pow.f64 (cbrt.f64 -1) 2)) (pow.f64 x 7)) (/.f64 (cbrt.f64 -1) x)) (/.f64 1 (.f64 (pow.f64 x 3) (pow.f64 (cbrt.f64 -1) 2)))))
(pow.f64 x 3)
(+.f64 (*.f64 -3 (pow.f64 x 5)) (pow.f64 x 3))
(fma.f64 -3 (pow.f64 x 5) (pow.f64 x 3))
(fma.f64 (pow.f64 x 5) -3 (pow.f64 x 3))
(+.f64 (.f64 6 (pow.f64 x 7)) (+.f64 (.f64 -3 (pow.f64 x 5)) (pow.f64 x 3)))
(fma.f64 6 (pow.f64 x 7) (fma.f64 -3 (pow.f64 x 5) (pow.f64 x 3)))
(fma.f64 (pow.f64 x 7) 6 (fma.f64 (pow.f64 x 5) -3 (pow.f64 x 3)))
(fma.f64 (pow.f64 x 5) -3 (fma.f64 (pow.f64 x 7) 6 (pow.f64 x 3)))
(+.f64 (.f64 6 (pow.f64 x 7)) (+.f64 (.f64 -3 (pow.f64 x 5)) (+.f64 (pow.f64 x 3) (*.f64 -10 (pow.f64 x 9)))))
(fma.f64 6 (pow.f64 x 7) (+.f64 (fma.f64 -3 (pow.f64 x 5) (pow.f64 x 3)) (*.f64 -10 (pow.f64 x 9))))
(fma.f64 (pow.f64 x 7) 6 (fma.f64 (pow.f64 x 5) -3 (fma.f64 -10 (pow.f64 x 9) (pow.f64 x 3))))
(fma.f64 (pow.f64 x 5) -3 (fma.f64 (pow.f64 x 7) 6 (fma.f64 -10 (pow.f64 x 9) (pow.f64 x 3))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 6 (pow.f64 x 7)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 6 (pow.f64 x 7)) (/.f64 3 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 6 (pow.f64 x 7)) (/.f64 -3 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 5))) (*.f64 10 (/.f64 1 (pow.f64 x 9)))))
(+.f64 (/.f64 6 (pow.f64 x 7)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3 (pow.f64 x 5)) (/.f64 10 (pow.f64 x 9)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 6 (pow.f64 x 7)) (+.f64 (/.f64 3 (pow.f64 x 5)) (/.f64 10 (pow.f64 x 9)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 6 (pow.f64 x 7)) (/.f64 -3 (pow.f64 x 5))) (/.f64 10 (pow.f64 x 9))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 6 (pow.f64 x 7)) (+.f64 (/.f64 -3 (pow.f64 x 5)) (/.f64 -10 (pow.f64 x 9)))))
(/.f64 1 (pow.f64 x 3))
(-.f64 (/.f64 1 (pow.f64 x 3)) (*.f64 3 (/.f64 1 (pow.f64 x 5))))
(-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (pow.f64 x 5)))
(+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 -3 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) (.f64 3 (/.f64 1 (pow.f64 x 5))))
(+.f64 (/.f64 6 (pow.f64 x 7)) (-.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 3 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 6 (pow.f64 x 7)) (/.f64 3 (pow.f64 x 5))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 6 (pow.f64 x 7)) (/.f64 -3 (pow.f64 x 5))))
(-.f64 (+.f64 (.f64 6 (/.f64 1 (pow.f64 x 7))) (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 3 (/.f64 1 (pow.f64 x 5))) (*.f64 10 (/.f64 1 (pow.f64 x 9)))))
(+.f64 (/.f64 6 (pow.f64 x 7)) (-.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 3 (pow.f64 x 5)) (/.f64 10 (pow.f64 x 9)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (/.f64 6 (pow.f64 x 7)) (+.f64 (/.f64 3 (pow.f64 x 5)) (/.f64 10 (pow.f64 x 9)))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (-.f64 (+.f64 (/.f64 6 (pow.f64 x 7)) (/.f64 -3 (pow.f64 x 5))) (/.f64 10 (pow.f64 x 9))))
(+.f64 (/.f64 1 (pow.f64 x 3)) (+.f64 (/.f64 6 (pow.f64 x 7)) (+.f64 (/.f64 -3 (pow.f64 x 5)) (/.f64 -10 (pow.f64 x 9)))))

prune80.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	159	3	162

Error

Counts

162 → 3

Alt Table

Status	Error	Program
✓	33.1b	(-.f64 (+.f64 (/.f64 1 (pow.f64 x 5)) (/.f64 1 x)) (+.f64 (/.f64 1 (pow.f64 x 3)) (/.f64 1 (pow.f64 x 7))))
✓	16.2b	(/.f64 x (fma.f64 x x 1))
✓	51.7b	(pow.f64 (pow.f64 (/.f64 x (fma.f64 x x 1)) 3) 1/3)

Compiler

Compiled 2401 to 1763 computations (26.6% saved)

regimes45.0ms (3.2%)

Accuracy

Total -57.9b remaining (-235350.7%)

Threshold costs -57.9b (-235350.7%)

Counts

15 → 3

Compiler

Compiled 142 to 94 computations (33.8% saved)

bsearch33.0ms (2.4%)

Algorithm

2×	binary-search

Calls

2 calls:

17.0ms	x
16.0ms	x

Steps

Iters	Point		Range
0.9245175465066481	∈ [	0.9245175465066481	,	92.96474519744025	]
-14277634393320366000.0	∈ [	-14277634393320366000.0	,	-10534283003872584.0	]

Compiler

Compiled 12 to 8 computations (33.3% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

8×	`+-commutative_binary64`
6×	`sub-neg_binary64`
5×	`*-commutative_binary64`
5×	`neg-sub0_binary64`
5×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	50
1	36	50
2	47	50
3	58	50
4	64	50
5	66	50

Stop Event

1×

saturated

Calls

Call 1

Inputs

(if (<=.f64 x -14277634393320366080) (/.f64 (neg.f64 (cbrt.f64 -1)) x) (if (<=.f64 x 17054338572062005248/18446744073709551616) (/.f64 x (fma.f64 x x 1)) (+.f64 (pow.f64 x -5) (-.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))

Outputs

(if (<=.f64 x -14277634393320366080) (/.f64 (neg.f64 (cbrt.f64 -1)) x) (if (<=.f64 x 17054338572062005248/18446744073709551616) (/.f64 x (fma.f64 x x 1)) (+.f64 (pow.f64 x -5) (-.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))

(if (<=.f64 x -14277634393320366080) (/.f64 (neg.f64 (cbrt.f64 -1)) x) (if (<=.f64 x 8327313755889651/9007199254740992) (/.f64 x (fma.f64 x x 1)) (+.f64 (pow.f64 x -5) (-.f64 (/.f64 1 x) (+.f64 (pow.f64 x -3) (pow.f64 x -7))))))

end68.0ms (4.9%)

Stop Event

1×

done

Compiler

Compiled 107 to 77 computations (28% saved)

Details

analyze4.0ms (0.3%)

sample755.0ms (54%)

preprocess16.0ms (1.1%)

simplify6.0ms (0.4%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series2.0ms (0.1%)

rewrite33.0ms (2.4%)

simplify29.0ms (2.1%)

prune26.0ms (1.8%)

localize13.0ms (0.9%)

series6.0ms (0.4%)

rewrite46.0ms (3.3%)

simplify33.0ms (2.4%)

prune110.0ms (7.9%)

localize7.0ms (0.5%)

series6.0ms (0.4%)

rewrite44.0ms (3.2%)

simplify27.0ms (1.9%)

prune80.0ms (5.7%)

regimes45.0ms (3.2%)

bsearch33.0ms (2.4%)

simplify3.0ms (0.2%)

end68.0ms (4.9%)

Profiling