Details

analyze592.0ms (20.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample27.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

prune7.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x y) z)
0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
8.0ms	(.f64 (+.f64 (.f64 x y) z) y)
4.0ms	(+.f64 (*.f64 x y) z)

series39.0ms (1.3%)

Counts

3 → 9

Calls

3 calls:

20.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
12.0ms	(.f64 (+.f64 (.f64 x y) z) y)
7.0ms	(+.f64 (*.f64 x y) z)

simplify45.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune75.0ms (2.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0b

Counts

52 → 6

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
5.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

series170.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
46.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
41.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
35.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify39.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5201	1158

prune120.0ms (4.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize11.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t)) (cbrt.f64 (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) t)))
0.6b	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
0.6b	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
0.6b	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))

rewrite43.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_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 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t)) (cbrt.f64 (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) t)))
7.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
7.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
7.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))

series237.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

89.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t)) (cbrt.f64 (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) t)))
54.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
48.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
46.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))

simplify52.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5042	1780

prune111.0ms (3.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x y) (*.f64 x y))
1.0b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
7.2b	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
12.8b	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

rewrite43.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`pow1_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64`
4×	`flip3--_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `associate-l*_binary64` `pow-sqr_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `pow-plus_binary64` `difference-of-squares_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`swap-sqr_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow2_binary64`

Counts

4 → 94

Calls

4 calls:

15.0ms	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))
11.0ms	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
8.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))

series77.0ms (2.6%)

Counts

4 → 12

Calls

4 calls:

25.0ms	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))
23.0ms	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
21.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
9.0ms	(.f64 (.f64 x y) (*.f64 x y))

simplify47.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4961	1213
1	4961	1213

prune106.0ms (3.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	106	6	112

Merged error: 0b

Counts

112 → 6

regimes450.0ms (15.4%)

Accuracy

Total 0.0b remaining (55.7%)

Threshold costs 0.0b (55.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms (0%)

sample545.0ms (18.6%)

Algorithm

1×

intervals

Results

250.0ms	8000×	body	80	valid
53.0ms	1811×	body	80	invalid

Details

analyze592.0ms (20.2%)

sample27.0ms (0.9%)

simplify6.0ms (0.2%)

prune7.0ms (0.2%)

localize7.0ms (0.2%)

rewrite22.0ms (0.7%)

series39.0ms (1.3%)

simplify45.0ms (1.5%)

prune75.0ms (2.6%)

localize10.0ms (0.4%)

rewrite28.0ms (1%)

series170.0ms (5.8%)

simplify39.0ms (1.3%)

prune120.0ms (4.1%)

localize11.0ms (0.4%)

rewrite43.0ms (1.5%)

series237.0ms (8.1%)

simplify52.0ms (1.8%)

prune111.0ms (3.8%)

localize14.0ms (0.5%)

rewrite43.0ms (1.5%)

series77.0ms (2.6%)

simplify47.0ms (1.6%)

prune106.0ms (3.6%)

regimes450.0ms (15.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample545.0ms (18.6%)

Profiling