Details

analyze5.0ms (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)

sample843.0ms (57.7%)

Results

829.0ms

8256×

body

128

valid

preprocess15.0ms (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

15.5b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.5b	(/.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
✓	15.5b	(/.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	@	0	(/.f64 x (fma.f64 x x 1))
1.0ms	x	@	-inf	(/.f64 x (fma.f64 x x 1))

rewrite36.0ms (2.5%)

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))))))))

simplify31.0ms (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)))))

prune28.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Alt Table

Status	Error	Program
✓	15.5b	(/.f64 x (fma.f64 x x 1))
	40.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
▶	29.0b	(/.f64 1 x)
	33.9b	(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))

Compiler

Compiled 574 to 385 computations (32.9% saved)

localize2.0ms (0.1%)

prune3.0ms (0.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	1	1
Total	4	4

Error

Counts

4 → 4

Alt Table

Status	Error	Program
✓	15.5b	(/.f64 x (fma.f64 x x 1))
	40.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
✓	29.0b	(/.f64 1 x)
▶	33.9b	(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))

Compiler

Compiled 57 to 37 computations (35.1% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))
✓	20.6b	(-.f64 (pow.f64 x 5) (pow.f64 x 3))

series4.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

427×	`fma-def_binary64`
394×	`log-prod_binary64`
230×	`fma-neg_binary64`
164×	`expm1-udef_binary64`
164×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	196	23
2	2640	23

Stop Event

1×	node limit

Counts

2 → 162

Calls

Call 1

Inputs
(-.f64 (pow.f64 x 5) (pow.f64 x 3))
(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 5) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 x 5) (.f64 (neg.f64 (pow.f64 x 3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) (fma.f64 (neg.f64 (pow.f64 x 3)) 1 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) (+.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 x 3)) (pow.f64 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (pow.f64 x 5) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)))) (cbrt.f64 (exp.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))))) (log.f64 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Outputs

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(log.f64 (sqrt.f64 (exp.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (pow.f64 x 5) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (sqrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 15) (pow.f64 x 9)) (/.f64 1 (+.f64 (+.f64 (pow.f64 x 10) (pow.f64 x 6)) (pow.f64 x 8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 x 10) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 5) (pow.f64 x 3))))))) 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3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 5) (fma.f64 -1 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 x 5) (neg.f64 (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.f64 (pow.f64 x 5) (pow.f64 x 3)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x (pow.f64 x 5)) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) 2) (-.f64 (pow.f64 x 5) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (pow.f64 x 5) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))) (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))) 2) (cbrt.f64 (-.f64 (pow.f64 x 5) (pow.f64 x 3))) x)))) (#(struct:change #<rule 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x 10) (pow.f64 x 6)) (/.f64 1 (+.f64 (pow.f64 x 5) (pow.f64 x 3))) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (pow.f64 x 5/2) (fma.f64 -1 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 x 5/2) (pow.f64 x 5/2) (neg.f64 (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (+.f64 x (pow.f64 x 5))) (cbrt.f64 (+.f64 x (pow.f64 x 5)))) (cbrt.f64 (+.f64 x (pow.f64 x 5))) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (hypot.f64 (sqrt.f64 x) (pow.f64 x 5/2)) (hypot.f64 (sqrt.f64 x) (pow.f64 x 5/2)) (neg.f64 (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 5) (pow.f64 (cbrt.f64 x) 5) (fma.f64 -1 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (pow.f64 (cbrt.f64 x) 2) 5) (pow.f64 (cbrt.f64 x) 5) (neg.f64 (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) 5) (pow.f64 (sqrt.f64 x) 5) (fma.f64 -1 (pow.f64 x 3) x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (sqrt.f64 x) 5) (pow.f64 (sqrt.f64 x) 5) (neg.f64 (-.f64 (pow.f64 x 3) x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 x 5/2) (pow.f64 x 3/2)) (-.f64 (pow.f64 x 5/2) (pow.f64 x 3/2)) x)))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (+.f64 x (pow.f64 x 5)) (pow.f64 x 3))) 1))))))

simplify31.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

419×	`fma-neg_binary64`
418×	`unswap-sqr_binary64`
417×	`fma-def_binary64`
254×	`distribute-rgt-neg-in_binary64`
250×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	236
1	34	218
2	78	218
3	175	218
4	369	218
5	993	218
6	2436	218

Stop Event

1×	node limit

Counts

186 → 172

Calls

Call 1

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

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

prune110.0ms (7.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	172	0	172
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	172	4	176

Error

Counts

176 → 4

Alt Table

Status	Error	Program
✓	15.5b	(/.f64 x (fma.f64 x x 1))
▶	40.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
✓	29.0b	(/.f64 1 x)
✓	33.9b	(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))

Compiler

Compiled 2908 to 2097 computations (27.9% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 1 (fma.f64 x x 1))
✓	2.8b	(*.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1)))
✓	4.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))

series5.0ms (0.4%)

Counts

3 → 20

Calls

9 calls:

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

rewrite47.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

728×	`pow1_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`
74×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	162	26
2	1945	26

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

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

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

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

simplify36.0ms (2.5%)

Algorithm

1×	egg-herbie

Rules

643×	`fma-def_binary64`
412×	`associate-l_binary64`
264×	`associate-r_binary64`
243×	`fma-neg_binary64`
210×	`associate-/r*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	50	323
1	132	314
2	347	312
3	1144	310
4	4906	310

Stop Event

1×	node limit

Counts

87 → 96

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))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(/.f64 1 (pow.f64 x 2))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))

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 (.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 3)) (pow.f64 x 7)))
(-.f64 x (+.f64 (-.f64 (pow.f64 x 7) (pow.f64 x 5)) (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 (pow.f64 x 5)) (+.f64 (/.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 (/.f64 1 (pow.f64 x 5)) (-.f64 (/.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))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (neg.f64 (*.f64 x x)))
(-.f64 1 (*.f64 x x))
(neg.f64 (fma.f64 x x -1))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (pow.f64 x 4)))
(+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4)))
(+.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x 4))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) 1)
(-.f64 (pow.f64 x 4) (fma.f64 x x -1))
(+.f64 (.f64 -1 (pow.f64 x 6)) (+.f64 1 (+.f64 (.f64 -1 (pow.f64 x 2)) (pow.f64 x 4))))
(fma.f64 -1 (pow.f64 x 6) (+.f64 1 (fma.f64 -1 (*.f64 x x) (pow.f64 x 4))))
(-.f64 (+.f64 (-.f64 1 (*.f64 x x)) (pow.f64 x 4)) (pow.f64 x 6))
(fma.f64 (*.f64 x x) (fma.f64 x x -1) (-.f64 1 (pow.f64 x 6)))
(-.f64 (-.f64 (pow.f64 x 4) (fma.f64 x x -1)) (pow.f64 x 6))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))
(/.f64 1 (pow.f64 x 2))
(/.f64 1 (*.f64 x x))
(-.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 4)))
(-.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (/.f64 -1 (pow.f64 x 4)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (/.f64 1 (pow.f64 x 4)))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 1 (pow.f64 x 4))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))))
(-.f64 (+.f64 (/.f64 1 (pow.f64 x 2)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(-.f64 (+.f64 (/.f64 1 (*.f64 x x)) (/.f64 1 (pow.f64 x 6))) (+.f64 (/.f64 1 (pow.f64 x 4)) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (*.f64 x x)) (-.f64 (+.f64 (/.f64 1 (pow.f64 x 6)) (/.f64 -1 (pow.f64 x 4))) (/.f64 1 (pow.f64 x 8))))
(+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))
(+.f64 (/.f64 1 (*.f64 x x)) (+.f64 (/.f64 1 (pow.f64 x 6)) (+.f64 (/.f64 -1 (pow.f64 x 4)) (/.f64 -1 (pow.f64 x 8)))))

prune45.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	96	4	100

Error

Counts

100 → 4

Alt Table

Status	Error	Program
✓	15.5b	(/.f64 x (fma.f64 x x 1))
✓	40.7b	(.f64 (sqrt.f64 x) (.f64 (sqrt.f64 x) (/.f64 1 (fma.f64 x x 1))))
✓	29.0b	(/.f64 1 x)
✓	33.9b	(+.f64 x (-.f64 (pow.f64 x 5) (pow.f64 x 3)))

Compiler

Compiled 1339 to 825 computations (38.4% saved)

regimes44.0ms (3%)

Accuracy

Total -63.2b remaining (-543555.2%)

Threshold costs -63.2b (-543555.2%)

Counts

12 → 3

Compiler

Compiled 99 to 60 computations (39.4% saved)

bsearch31.0ms (2.1%)

Algorithm

2×	binary-search

Calls

2 calls:

16.0ms	x
14.0ms	x

Steps

Iters	Point		Range
391223377.91839087	∈ [	391223377.91839087	,	7.647745108357964e+25	]
-11062827482934330.0	∈ [	-11062827482934330.0	,	-7614438583.898254	]

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	28
1	15	28

Stop Event

1×

saturated

Calls

Call 1

Inputs
(if (<=.f64 x -11062827482934330) (/.f64 1 x) (if (<=.f64 x 1680291613590137344/4294967296) (/.f64 x (fma.f64 x x 1)) (/.f64 1 x)))

Outputs

(if (<=.f64 x -11062827482934330) (/.f64 1 x) (if (<=.f64 x 1680291613590137344/4294967296) (/.f64 x (fma.f64 x x 1)) (/.f64 1 x)))

(if (<=.f64 x -11062827482934330) (/.f64 1 x) (if (<=.f64 x 3281819557793237/8388608) (/.f64 x (fma.f64 x x 1)) (/.f64 1 x)))

end54.0ms (3.7%)

Stop Event

1×

done

Compiler

Compiled 72 to 46 computations (36.1% saved)

Details

analyze5.0ms (0.3%)

sample843.0ms (57.7%)

preprocess15.0ms (1%)

simplify6.0ms (0.4%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series2.0ms (0.1%)

rewrite36.0ms (2.5%)

simplify31.0ms (2.1%)

prune28.0ms (1.9%)

localize2.0ms (0.1%)

prune3.0ms (0.2%)

localize5.0ms (0.3%)

series4.0ms (0.2%)

rewrite62.0ms (4.3%)

simplify31.0ms (2.1%)

prune110.0ms (7.5%)

localize6.0ms (0.4%)

series5.0ms (0.4%)

rewrite47.0ms (3.2%)

simplify36.0ms (2.5%)

prune45.0ms (3.1%)

regimes44.0ms (3%)

bsearch31.0ms (2.1%)

simplify2.0ms (0.1%)

end54.0ms (3.7%)

Profiling