Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	25%	25%	3
50%	12.5%	37.5%	4
50%	6.2%	43.8%	5
50%	3.1%	46.9%	6
50%	1.6%	48.5%	7
50%	0.8%	49.2%	8
50%	0.4%	49.6%	9
50%	0.2%	49.8%	10
50%	0.1%	49.9%	11
50%	0%	50%	12
50%	0%	50%	13
50%	0%	50%	14

sample16.0ms (0.8%)

Algorithm

1×

intervals

Results

10.0ms

256×

body

valid

simplify75.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5144	14

prune4.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.4b

Counts

2 → 1

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 6.0 (-.f64 x 1.0))
0.0b	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.3b	(/.f64 (.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))

rewrite27.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`*-un-lft-identity_binary64`
8×	`add-log-exp_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `associate-r_binary64`
4×	`associate-*r/_binary64`
3×	`associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `-commutative_binary64`

Counts

3 → 62

Calls

3 calls:

12.0ms	(/.f64 (.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))
7.0ms	(*.f64 6.0 (-.f64 x 1.0))
6.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))

series24.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 (.f64 6.0 (-.f64 x 1.0)) (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))))
7.0ms	(*.f64 6.0 (-.f64 x 1.0))
5.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))

simplify46.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4992	903
1	4992	903

prune107.0ms (5.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	66	5	71
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	5	72

Merged error: 0b

Counts

72 → 5

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.0b	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
0.0b	(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))

rewrite41.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

138×	`times-frac_binary64`
103×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
71×	`add-cube-cbrt_binary64`
26×	`associate-/r*_binary64`
16×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
11×	`associate-/r/_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
6×	`associate-/l*_binary64` `div-inv_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`cbrt-undiv_binary64` `div-exp_binary64`
3×	`pow1_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64` `+-commutative_binary64`

Counts

3 → 154

Calls

3 calls:

13.0ms	(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))
11.0ms	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
6.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))

series25.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

12.0ms	(/.f64 6.0 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0)))
8.0ms	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) (-.f64 x 1.0))
5.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))

simplify62.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

163 → 163

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5079	3735

prune255.0ms (13.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	162	1	163
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	163	5	168

Merged error: 0b

Counts

168 → 5

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))
0.0b	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.1b	(.f64 (/.f64 6.0 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x)))) (-.f64 x 1.0))

rewrite31.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64`
21×	`*-un-lft-identity_binary64`
19×	`add-cube-cbrt_binary64` `times-frac_binary64`
15×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
8×	`add-log-exp_binary64`
5×	`pow1_binary64` `associate-r_binary64`
4×	`associate-/r/_binary64`
3×	`flip3-+_binary64` `associate-/r_binary64` `associate-/l_binary64` `flip-+_binary64` `sum-log_binary64`
2×	`sub-neg_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-*r/_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

3 → 84

Calls

3 calls:

15.0ms	(.f64 (/.f64 6.0 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x)))) (-.f64 x 1.0))
7.0ms	(/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))
6.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))

series27.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(.f64 (/.f64 6.0 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x)))) (-.f64 x 1.0))
8.0ms	(/.f64 6.0 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))))
5.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))

simplify32.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5020	1630

prune128.0ms (6.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	92	1	93
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	94	4	98

Merged error: 0b

Counts

98 → 4

localize10.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))
0.0b	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)
0.1b	(.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))) 6.0)) (-.f64 x 1.0))
0.1b	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0))

rewrite55.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`times-frac_binary64`
106×	`add-sqr-sqrt_binary64`
94×	`*-un-lft-identity_binary64`
90×	`add-cube-cbrt_binary64`
44×	`associate-l_binary64`
36×	`add-exp-log_binary64`
20×	`add-cbrt-cube_binary64`
16×	`associate-/r*_binary64`
15×	`div-exp_binary64`
10×	`div-inv_binary64`
9×	`add-log-exp_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `prod-exp_binary64`
6×	`associate-/l*_binary64`
5×	`associate-r_binary64` `unswap-sqr_binary64`
4×	`1-exp_binary64` `rec-exp_binary64`
3×	`cbrt-unprod_binary64` `sum-log_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `sub-neg_binary64` `flip3--_binary64` `associate-*r/_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `flip--_binary64` `flip-+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `pow-flip_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 198

Calls

4 calls:

21.0ms	(.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))) 6.0)) (-.f64 x 1.0))
9.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0))
9.0ms	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)
7.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))

series33.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

13.0ms	(.f64 (/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (.f64 4.0 (sqrt.f64 x))) 6.0)) (-.f64 x 1.0))
9.0ms	(/.f64 1 (/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0))
6.0ms	(/.f64 (+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x))) 6.0)
5.0ms	(+.f64 (+.f64 x 1.0) (*.f64 4.0 (sqrt.f64 x)))

simplify88.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4968	3723
1	4968	3723

prune340.0ms (17.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	210	4	214

Merged error: 0b

Counts

214 → 4

regimes30.0ms (1.5%)

Accuracy

Total 0.0b remaining (78%)

Threshold costs 0.0b (78%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	14
1	24	14

end0.0ms (0%)

sample468.0ms (24%)

Algorithm

1×

intervals

Results

361.0ms

8000×

body

valid

Details

analyze3.0ms (0.1%)

sample16.0ms (0.8%)

simplify75.0ms (3.8%)

prune4.0ms (0.2%)

localize8.0ms (0.4%)

rewrite27.0ms (1.4%)

series24.0ms (1.2%)

simplify46.0ms (2.4%)

prune107.0ms (5.5%)

localize8.0ms (0.4%)

rewrite41.0ms (2.1%)

series25.0ms (1.3%)

simplify62.0ms (3.2%)

prune255.0ms (13.1%)

localize9.0ms (0.4%)

rewrite31.0ms (1.6%)

series27.0ms (1.4%)

simplify32.0ms (1.6%)

prune128.0ms (6.5%)

localize10.0ms (0.5%)

rewrite55.0ms (2.8%)

series33.0ms (1.7%)

simplify88.0ms (4.5%)

prune340.0ms (17.4%)

regimes30.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample468.0ms (24%)

Profiling