Details

analyze306.0ms (17%)

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
18.7%	81.1%	0.1%	7
21.8%	78%	0.1%	8
27.3%	67.1%	5.6%	9
41%	50.3%	8.7%	10
43.9%	47%	9.1%	11
48.3%	38%	13.7%	12
56.3%	27.4%	16.2%	13
58.2%	25.4%	16.4%	14

sample16.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	80	valid
1.0ms	25×	body	80	invalid

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	7
1	12	7

prune8.0ms (0.4%)

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: 6.9b

Counts

2 → 1

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (*.f64 y y) z))
10.9b	(/.f64 (*.f64 y y) z)

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r*_binary64` `times-frac_binary64`
2×	`pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 33

Calls

2 calls:

5.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
5.0ms	(/.f64 (*.f64 y y) z)

series14.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 x (/.f64 (*.f64 y y) z))
4.0ms	(/.f64 (*.f64 y y) z)

simplify49.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5116	297

prune54.0ms (3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	4	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	5	40

Merged error: 0.0b

Counts

40 → 5

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (*.f64 y (/.f64 y z)))
0.2b	(*.f64 y (/.f64 y z))

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`associate-l_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 43

Calls

2 calls:

7.0ms	(*.f64 y (/.f64 y z))
3.0ms	(+.f64 x (*.f64 y (/.f64 y z)))

series15.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 x (*.f64 y (/.f64 y z)))
4.0ms	(*.f64 y (/.f64 y z))

simplify60.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4932	359
1	4932	359

prune59.0ms (3.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	47	2	49
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	47	7	54

Merged error: 0b

Counts

54 → 7

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)
0.6b	(cbrt.f64 z)

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_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`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)
1.0ms	(cbrt.f64 z)

series77.0ms (4.3%)

Counts

4 → 12

Calls

4 calls:

24.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
18.0ms	(cbrt.f64 z)
18.0ms	(cbrt.f64 z)
17.0ms	(cbrt.f64 z)

simplify46.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune90.0ms (5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))
0.3b	(/.f64 1 (/.f64 z (*.f64 y y)))
10.9b	(/.f64 z (*.f64 y y))

rewrite27.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`times-frac_binary64`
29×	`add-exp-log_binary64`
24×	`*-un-lft-identity_binary64`
21×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
17×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
8×	`associate-/r*_binary64`
7×	`cbrt-undiv_binary64` `div-inv_binary64`
6×	`associate-/l*_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `prod-exp_binary64`
3×	`1-exp_binary64` `rec-exp_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `associate-/r/_binary64` `inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

3 → 90

Calls

3 calls:

10.0ms	(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))
7.0ms	(/.f64 1 (/.f64 z (*.f64 y y)))
7.0ms	(/.f64 z (*.f64 y y))

series25.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(+.f64 x (/.f64 1 (/.f64 z (*.f64 y y))))
7.0ms	(/.f64 1 (/.f64 z (*.f64 y y)))
6.0ms	(/.f64 z (*.f64 y y))

simplify50.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4947	798
1	4947	798

prune89.0ms (5%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	2	1	3
Picked	0	1	1
Done	0	3	3
Total	100	6	106

Merged error: 0b

Counts

106 → 6

regimes346.0ms (19.2%)

Accuracy

Total 0.1b remaining (77.9%)

Threshold costs 0.1b (77.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	7
1	8	7

end0.0ms (0%)

sample402.0ms (22.3%)

Algorithm

1×

intervals

Results

205.0ms	8000×	body	80	valid
21.0ms	876×	body	80	invalid

Details

analyze306.0ms (17%)

sample16.0ms (0.9%)

simplify5.0ms (0.3%)

prune8.0ms (0.4%)

localize5.0ms (0.3%)

rewrite11.0ms (0.6%)

series14.0ms (0.8%)

simplify49.0ms (2.7%)

prune54.0ms (3%)

localize5.0ms (0.3%)

rewrite12.0ms (0.6%)

series15.0ms (0.8%)

simplify60.0ms (3.3%)

prune59.0ms (3.3%)

localize9.0ms (0.5%)

rewrite13.0ms (0.7%)

series77.0ms (4.3%)

simplify46.0ms (2.6%)

prune90.0ms (5%)

localize6.0ms (0.3%)

rewrite27.0ms (1.5%)

series25.0ms (1.4%)

simplify50.0ms (2.8%)

prune89.0ms (5%)

regimes346.0ms (19.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample402.0ms (22.3%)

Profiling