Details

analyze677.0ms (27.2%)

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
0%	99.8%	0.2%	8
16.4%	83.4%	0.2%	9
21.4%	78.4%	0.2%	10
25.1%	74.7%	0.2%	11
28%	70.2%	1.9%	12
39.6%	55.8%	4.6%	13
43.9%	50.4%	5.8%	14

sample22.0ms (0.9%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	80	valid
2.0ms	67×	body	80	invalid

simplify42.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	733	9
1	733	9

prune7.0ms (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: 4.7b

Counts

2 → 1

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
4.8b	(/.f64 (*.f64 (-.f64 y x) z) t)

rewrite24.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `pow1_binary64` `associate-l_binary64`
4×	`associate-*l/_binary64`
3×	`associate-/r_binary64` `associate-r*_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `prod-exp_binary64` `div-exp_binary64` `flip--_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `difference-of-squares_binary64` `associate-/l_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

11.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
7.0ms	(*.f64 (-.f64 y x) z)
5.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))

series39.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

17.0ms	(/.f64 (*.f64 (-.f64 y x) z) t)
14.0ms	(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))
8.0ms	(*.f64 (-.f64 y x) z)

simplify39.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5581	558

prune101.0ms (4%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	57	9	66
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	58	9	67

Merged error: 0b

Counts

67 → 9

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite15.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-r_binary64`
12×	`*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`associate-l_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
2×	`flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `flip--_binary64` `frac-times_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

2 → 49

Calls

2 calls:

9.0ms	(*.f64 (-.f64 y x) (/.f64 z t))
4.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))

series32.0ms (1.3%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 x (*.f64 (-.f64 y x) (/.f64 z t)))
16.0ms	(*.f64 (-.f64 y x) (/.f64 z t))

simplify49.0ms (2%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5329	557

prune76.0ms (3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	55	9	64

Merged error: 0b

Counts

64 → 9

localize6.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
7.4b	(/.f64 (-.f64 y x) (/.f64 t z))

rewrite35.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

119×	`times-frac_binary64`
88×	`*-un-lft-identity_binary64`
86×	`add-sqr-sqrt_binary64`
58×	`add-cube-cbrt_binary64`
14×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`
13×	`associate-/r*_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `div-inv_binary64`
5×	`associate-/l*_binary64`
4×	`add-log-exp_binary64`
3×	`cbrt-undiv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `pow1_binary64` `div-sub_binary64`
1×	`flip3-+_binary64` `associate-+r-_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `associate-/r/_binary64` `clear-num_binary64` `frac-2neg_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

2 → 114

Calls

2 calls:

19.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))
9.0ms	(/.f64 (-.f64 y x) (/.f64 t z))

series30.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

16.0ms	(/.f64 (-.f64 y x) (/.f64 t z))
14.0ms	(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z)))

simplify46.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5387	1677

prune123.0ms (4.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	2	5	7
Picked	0	1	1
Done	0	1	1
Total	121	8	129

Merged error: 0b

Counts

129 → 8

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 y x) z)
0.0b	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
0.6b	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
4.8b	(/.f64 t (*.f64 (-.f64 y x) z))

rewrite41.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64`
32×	`add-exp-log_binary64`
31×	`*-un-lft-identity_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`add-cube-cbrt_binary64`
20×	`add-cbrt-cube_binary64`
14×	`div-exp_binary64`
12×	`associate-*l/_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/r*_binary64`
7×	`pow1_binary64` `cbrt-undiv_binary64` `div-inv_binary64`
6×	`add-log-exp_binary64` `flip3--_binary64` `associate-/l*_binary64` `flip--_binary64`
5×	`associate-l_binary64` `prod-exp_binary64`
3×	`cbrt-unprod_binary64` `associate-r_binary64` `1-exp_binary64` `rec-exp_binary64`
2×	`distribute-lft-out_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `unswap-sqr_binary64` `inv-pow_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `+-commutative_binary64` `pow-flip_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 122

Calls

4 calls:

12.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
11.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
7.0ms	(/.f64 t (*.f64 (-.f64 y x) z))
7.0ms	(*.f64 (-.f64 y x) z)

series57.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

18.0ms	(/.f64 t (*.f64 (-.f64 y x) z))
17.0ms	(/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z)))
14.0ms	(+.f64 x (/.f64 1 (/.f64 t (*.f64 (-.f64 y x) z))))
8.0ms	(*.f64 (-.f64 y x) z)

simplify46.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5092	1333

prune121.0ms (4.8%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	134	0	134
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	134	8	142

Merged error: 0b

Counts

142 → 8

regimes269.0ms (10.8%)

Accuracy

Total 1.9b remaining (99.5%)

Threshold costs 0b (0%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	9
1	20	9

end0.0ms (0%)

sample575.0ms (23.1%)

Algorithm

1×

intervals

Results

258.0ms	8000×	body	80	valid
66.0ms	2063×	body	80	invalid

Details

analyze677.0ms (27.2%)

sample22.0ms (0.9%)

simplify42.0ms (1.7%)

prune7.0ms (0.3%)

localize7.0ms (0.3%)

rewrite24.0ms (1%)

series39.0ms (1.6%)

simplify39.0ms (1.6%)

prune101.0ms (4%)

localize6.0ms (0.3%)

rewrite15.0ms (0.6%)

series32.0ms (1.3%)

simplify49.0ms (2%)

prune76.0ms (3%)

localize6.0ms (0.3%)

rewrite35.0ms (1.4%)

series30.0ms (1.2%)

simplify46.0ms (1.8%)

prune123.0ms (4.9%)

localize8.0ms (0.3%)

rewrite41.0ms (1.6%)

series57.0ms (2.3%)

simplify46.0ms (1.8%)

prune121.0ms (4.8%)

regimes269.0ms (10.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample575.0ms (23.1%)

Profiling