Details

analyze888.0ms (23.5%)

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
0%	99.8%	0.2%	8
0%	99.8%	0.2%	9
0%	99.8%	0.2%	10
16.4%	83.4%	0.2%	11
19.9%	79.9%	0.2%	12
21.6%	77.2%	1.2%	13
24.8%	73.7%	1.4%	14

sample28.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	80	valid
3.0ms	96×	body	80	invalid

simplify29.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	550	9
1	550	9

prune8.0ms (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: 6.8b

Counts

2 → 1

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
6.4b	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)

rewrite11.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `flip3--_binary64` `flip--_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 41

Calls

2 calls:

6.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series35.0ms (0.9%)

Counts

2 → 6

Calls

2 calls:

18.0ms	(/.f64 (-.f64 (.f64 x y) (.f64 z t)) a)
17.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5334	577

prune94.0ms (2.5%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	37	10	47
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	11	48

Merged error: 6.4b

Counts

48 → 11

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.3b	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
6.4b	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))

rewrite26.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64`
55×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`associate-/r*_binary64`
16×	`add-exp-log_binary64`
11×	`associate-/r/_binary64`
10×	`add-cbrt-cube_binary64`
8×	`div-exp_binary64`
6×	`flip3--_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64` `cbrt-undiv_binary64`
2×	`1-exp_binary64` `clear-num_binary64` `frac-2neg_binary64` `rec-exp_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 124

Calls

3 calls:

11.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
6.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series56.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

26.0ms	(/.f64 1 (/.f64 a (-.f64 (.f64 x y) (.f64 z t))))
18.0ms	(/.f64 a (-.f64 (.f64 x y) (.f64 z t)))
12.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify60.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5193	2109

prune171.0ms (4.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	129	4	133
Fresh	1	8	9
Picked	1	0	1
Done	0	1	1
Total	131	13	144

Merged error: 6.4b

Counts

144 → 13

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
6.5b	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))

rewrite16.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `times-frac_binary64`
10×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `prod-exp_binary64`
3×	`flip3--_binary64` `associate-l_binary64` `unswap-sqr_binary64` `flip--_binary64`
2×	`cbrt-unprod_binary64` `div-exp_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `sub-neg_binary64` `diff-log_binary64` `1-exp_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `rec-exp_binary64` `un-div-inv_binary64` `div-inv_binary64` `-commutative_binary64`

Counts

2 → 51

Calls

2 calls:

10.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series30.0ms (0.8%)

Counts

2 → 6

Calls

2 calls:

18.0ms	(.f64 (-.f64 (.f64 x y) (*.f64 z t)) (/.f64 1 a))
12.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify46.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5281	652

prune99.0ms (2.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	57	13	70

Merged error: 6.4b

Counts

70 → 13

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x y) (.f64 z t))
0.9b	(/.f64 1 (-.f64 (.f64 x y) (.f64 z t)))
5.6b	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (.f64 x y) (.f64 z t))))

rewrite44.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

474×	`times-frac_binary64`
221×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
47×	`add-exp-log_binary64`
34×	`div-exp_binary64`
32×	`div-inv_binary64`
31×	`associate-/r/_binary64`
18×	`associate-/r*_binary64`
17×	`add-cbrt-cube_binary64`
16×	`flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
9×	`1-exp_binary64` `cbrt-undiv_binary64` `rec-exp_binary64`
5×	`add-log-exp_binary64`
4×	`pow1_binary64`
2×	`clear-num_binary64` `frac-2neg_binary64`
1×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `inv-pow_binary64` `pow-flip_binary64`

Counts

3 → 299

Calls

3 calls:

15.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (.f64 x y) (.f64 z t))))
6.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 z t)))
4.0ms	(-.f64 (.f64 x y) (.f64 z t))

series57.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

30.0ms	(/.f64 (/.f64 1 a) (/.f64 1 (-.f64 (.f64 x y) (.f64 z t))))
14.0ms	(/.f64 1 (-.f64 (.f64 x y) (.f64 z t)))
12.0ms	(-.f64 (.f64 x y) (.f64 z t))

simplify90.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5337	6602

prune317.0ms (8.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	2	8	10
Picked	0	1	1
Done	1	1	2
Total	309	12	321

Merged error: 6.4b

Counts

321 → 12

regimes880.0ms (23.3%)

Accuracy

Total 0.3b remaining (4.4%)

Threshold costs 0.3b (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	9
1	37	9

end0.0ms (0%)

sample705.0ms (18.7%)

Algorithm

1×

intervals

Results

284.0ms	8000×	body	80	valid
102.0ms	3001×	body	80	invalid

Details

analyze888.0ms (23.5%)

sample28.0ms (0.8%)

simplify29.0ms (0.8%)

prune8.0ms (0.2%)

localize7.0ms (0.2%)

rewrite11.0ms (0.3%)

series35.0ms (0.9%)

simplify46.0ms (1.2%)

prune94.0ms (2.5%)

localize9.0ms (0.2%)

rewrite26.0ms (0.7%)

series56.0ms (1.5%)

simplify60.0ms (1.6%)

prune171.0ms (4.5%)

localize10.0ms (0.3%)

rewrite16.0ms (0.4%)

series30.0ms (0.8%)

simplify46.0ms (1.2%)

prune99.0ms (2.6%)

localize9.0ms (0.2%)

rewrite44.0ms (1.2%)

series57.0ms (1.5%)

simplify90.0ms (2.4%)

prune317.0ms (8.4%)

regimes880.0ms (23.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample705.0ms (18.7%)

Profiling