Details

analyze241.0ms (14.9%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	56.2%	3.3%	9
46.8%	46%	7.2%	10
58.5%	32.8%	8.7%	11
60.8%	27.9%	11.3%	12
63.8%	22.4%	13.8%	13
69.1%	16.5%	14.4%	14

sample15.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

prune9.0ms (0.6%)

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 → 2

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 d1 d2) (.f64 d1 d3))

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `distribute-lft-out_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 12

Calls

1 calls:

5.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

series9.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

9.0ms

(+.f64 (*.f64 d1 d2) (*.f64 d1 d3))

simplify68.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

15 → 15

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5364	114

prune25.0ms (1.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	14	1	15
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	14	3	17

Merged error: 0.0b

Counts

17 → 3

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 d1 (+.f64 d2 d3))

rewrite7.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

1 → 23

Calls

1 calls:

7.0ms

(*.f64 d1 (+.f64 d2 d3))

series8.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

8.0ms

(*.f64 d1 (+.f64 d2 d3))

simplify89.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4889	163
1	4889	163

prune32.0ms (2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	25	4	29

Merged error: 0b

Counts

29 → 4

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 d3))))
4.4b	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
4.4b	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
4.4b	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))

rewrite25.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 d3))))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
5.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))

series142.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (cbrt.f64 (.f64 d1 (+.f64 d2 d3))) (cbrt.f64 (*.f64 d1 (+.f64 d2 d3))))
34.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
31.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))
31.0ms	(cbrt.f64 (*.f64 d1 (+.f64 d2 d3)))

simplify46.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5119	779

prune88.0ms (5.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	84	0	84
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	84	4	88

Merged error: 0b

Counts

88 → 4

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

2.9b	(-.f64 (.f64 d2 d2) (.f64 d3 d3))
6.9b	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
22.9b	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))

rewrite26.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`*-un-lft-identity_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`associate-/r*_binary64` `add-log-exp_binary64` `pow1_binary64` `times-frac_binary64`
4×	`flip3--_binary64` `associate-r_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `flip--_binary64`
3×	`sub-neg_binary64` `associate-l_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `prod-exp_binary64` `distribute-lft-out--_binary64` `div-exp_binary64`
1×	`pow-prod-down_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` `-commutative_binary64`

Counts

3 → 64

Calls

3 calls:

11.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
8.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
5.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

series58.0ms (3.6%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(/.f64 (.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3))) (-.f64 d2 d3))
20.0ms	(.f64 d1 (-.f64 (.f64 d2 d2) (*.f64 d3 d3)))
8.0ms	(-.f64 (.f64 d2 d2) (.f64 d3 d3))

simplify57.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4976	743
1	4976	743

prune69.0ms (4.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	73	4	77

Merged error: 0b

Counts

77 → 4

regimes182.0ms (11.2%)

Accuracy

Total 0.0b remaining (79.3%)

Threshold costs 0.0b (79.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	7
1	9	7

end0.0ms (0%)

sample386.0ms (23.8%)

Algorithm

1×

intervals

Results

199.0ms	8000×	body	80	valid
16.0ms	676×	body	80	invalid

Details

analyze241.0ms (14.9%)

sample15.0ms (1%)

simplify6.0ms (0.4%)

prune9.0ms (0.6%)

localize5.0ms (0.3%)

rewrite6.0ms (0.4%)

series9.0ms (0.5%)

simplify68.0ms (4.2%)

prune25.0ms (1.5%)

localize4.0ms (0.2%)

rewrite7.0ms (0.5%)

series8.0ms (0.5%)

simplify89.0ms (5.5%)

prune32.0ms (2%)

localize8.0ms (0.5%)

rewrite25.0ms (1.5%)

series142.0ms (8.8%)

simplify46.0ms (2.8%)

prune88.0ms (5.4%)

localize9.0ms (0.5%)

rewrite26.0ms (1.6%)

series58.0ms (3.6%)

simplify57.0ms (3.5%)

prune69.0ms (4.2%)

regimes182.0ms (11.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample386.0ms (23.8%)

Profiling