Details

analyze80.0ms (5.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	69	7
1	69	7

prune5.0ms (0.3%)

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: 0.0b

Counts

2 → 1

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) (+.f64 x y))

rewrite14.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 40

Calls

1 calls:

12.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

series5.0ms (0.3%)

Counts

1 → 3

Calls

1 calls:

5.0ms

(*.f64 (+.f64 x y) (+.f64 x y))

simplify32.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5592	356

prune99.0ms (6.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

localize10.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
0.0b	(*.f64 y (+.f64 x y))
0.0b	(*.f64 x (+.f64 x y))

rewrite38.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`distribute-rgt-out_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 66

Calls

3 calls:

13.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
11.0ms	(*.f64 y (+.f64 x y))
11.0ms	(*.f64 x (+.f64 x y))

series19.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
6.0ms	(*.f64 x (+.f64 x y))
5.0ms	(*.f64 y (+.f64 x y))

simplify53.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4841	616
1	4841	616

prune87.0ms (6.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	71	4	75
Fresh	3	0	3
Picked	1	0	1
Done	0	1	1
Total	75	5	80

Merged error: 0b

Counts

80 → 5

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 x y)) (*.f64 y (+.f64 x y)))
0.0b	(*.f64 y (+.f64 x y))
0.0b	(+.f64 (.f64 x x) (.f64 x y))

rewrite21.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64`
7×	`flip3-+_binary64` `*-un-lft-identity_binary64` `add-sqr-sqrt_binary64` `flip-+_binary64`
6×	`associate-*r/_binary64`
5×	`pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-r_binary64` `frac-add_binary64` `sum-log_binary64`
3×	`distribute-lft-out_binary64` `associate-l_binary64`
2×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-+l+_binary64` `distribute-rgt-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 x y)) (*.f64 y (+.f64 x y)))
7.0ms	(*.f64 y (+.f64 x y))
4.0ms	(+.f64 (.f64 x x) (.f64 x y))

series20.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 x y)) (*.f64 y (+.f64 x y)))
6.0ms	(+.f64 (.f64 x x) (.f64 x y))
5.0ms	(*.f64 y (+.f64 x y))

simplify69.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4782	620
1	4782	620

prune72.0ms (5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	64	5	69

Merged error: 0b

Counts

69 → 5

localize11.0ms (0.8%)

Local error

Found 4 expressions with local error:

0.4b	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))
0.6b	(cbrt.f64 (+.f64 x y))

rewrite24.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))
3.0ms	(cbrt.f64 (+.f64 x y))

series157.0ms (11%)

Counts

4 → 12

Calls

4 calls:

51.0ms	(*.f64 (cbrt.f64 (+.f64 x y)) (cbrt.f64 (+.f64 x y)))
38.0ms	(cbrt.f64 (+.f64 x y))
34.0ms	(cbrt.f64 (+.f64 x y))
34.0ms	(cbrt.f64 (+.f64 x y))

simplify38.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5175	995

prune110.0ms (7.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	107	5	112

Merged error: 0b

Counts

112 → 5

regimes174.0ms (12.2%)

Accuracy

Total 0.0b remaining (62.1%)

Threshold costs 0.0b (62.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms (0%)

sample263.0ms (18.4%)

Algorithm

1×

intervals

Results

139.0ms	8000×	body	80	valid
2.0ms	97×	body	80	invalid

Details

analyze80.0ms (5.6%)

sample11.0ms (0.7%)

simplify6.0ms (0.4%)

prune5.0ms (0.3%)

localize3.0ms (0.2%)

rewrite14.0ms (1%)

series5.0ms (0.3%)

simplify32.0ms (2.2%)

prune99.0ms (6.9%)

localize10.0ms (0.7%)

rewrite38.0ms (2.6%)

series19.0ms (1.3%)

simplify53.0ms (3.7%)

prune87.0ms (6.1%)

localize7.0ms (0.5%)

rewrite21.0ms (1.5%)

series20.0ms (1.4%)

simplify69.0ms (4.8%)

prune72.0ms (5%)

localize11.0ms (0.8%)

rewrite24.0ms (1.7%)

series157.0ms (11%)

simplify38.0ms (2.7%)

prune110.0ms (7.7%)

regimes174.0ms (12.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample263.0ms (18.4%)

Profiling