Details

analyze522.0ms (11.7%)

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
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

Compiler

Compiled 16 to 12 computations (25% saved)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

11.0ms	256×	body	128	valid
1.0ms	14×	body	128	invalid

Compiler

Compiled 31 to 27 computations (12.9% saved)

simplify171.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

prune2.0ms (0%)

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: 25.6b

Counts

2 → 1

Compiler

Compiled 30 to 22 computations (26.7% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.5b	(+.f64 (.f64 a c) (.f64 b d))
25.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite23.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
9×	`times-frac_binary64_1117`
7×	`add-log-exp_binary64_1150`
5×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
4×	`flip-+_binary64_1085` `flip3-+_binary64_1114`
3×	`associate-/r_binary64_1055` `associate-/l_binary64_1056` `pow1_binary64_1172`
2×	`associate-/l/_binary64_1058` `+-commutative_binary64_1041` `sum-log_binary64_1202` `associate-/r/_binary64_1057`
1×	`div-inv_binary64_1108` `frac-2neg_binary64_1122` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `clear-num_binary64_1110`

Counts

3 → 53

Calls

3 calls:

9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))
4.0ms	(+.f64 (.f64 c c) (.f64 d d))

series301.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

181.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))
80.0ms	(+.f64 (.f64 a c) (.f64 b d))
39.0ms	(+.f64 (.f64 c c) (.f64 d d))

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	5006	1420

prune271.0ms (6.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	54	8	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	8	63

Merged error: 24.8b

Counts

63 → 8

Compiler

Compiled 6996 to 2740 computations (60.8% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
15.9b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
28.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite33.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1133`
21×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
18×	`times-frac_binary64_1117` `sqrt-prod_binary64_1127`
6×	`add-cbrt-cube_binary64_1147` `sqrt-div_binary64_1128` `associate-/r*_binary64_1055` `add-log-exp_binary64_1150` `pow1_binary64_1172` `add-exp-log_binary64_1149`
5×	`flip-+_binary64_1085` `flip3-+_binary64_1114`
3×	`associate-/l*_binary64_1056`
2×	`pow1/2_binary64_1191` `rem-sqrt-square_binary64_1124` `associate-/l/_binary64_1058` `sqrt-pow1_binary64_1129` `associate-/r/_binary64_1057`
1×	`div-inv_binary64_1108` `frac-2neg_binary64_1122` `+-commutative_binary64_1041` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `sum-log_binary64_1202` `clear-num_binary64_1110`

Counts

4 → 84

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

series401.0ms (9%)

Counts

4 → 12

Calls

4 calls:

240.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
68.0ms	(+.f64 (.f64 a c) (.f64 b d))
48.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
43.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify71.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5228	2326

prune176.0ms (4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	92	4	96
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	93	11	104

Merged error: 22.5b

Counts

104 → 11

Compiler

Compiled 5116 to 1378 computations (73.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(+.f64 (.f64 a c) (.f64 b d))
15.9b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
28.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
28.5b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite36.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_1133`
21×	`*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
18×	`times-frac_binary64_1117` `sqrt-prod_binary64_1127`
6×	`add-cbrt-cube_binary64_1147` `sqrt-div_binary64_1128` `associate-/r*_binary64_1055` `add-log-exp_binary64_1150` `pow1_binary64_1172` `add-exp-log_binary64_1149`
5×	`flip-+_binary64_1085` `flip3-+_binary64_1114`
3×	`associate-/l*_binary64_1056`
2×	`pow1/2_binary64_1191` `rem-sqrt-square_binary64_1124` `associate-/l/_binary64_1058` `sqrt-pow1_binary64_1129` `associate-/r/_binary64_1057`
1×	`div-inv_binary64_1108` `frac-2neg_binary64_1122` `+-commutative_binary64_1041` `div-exp_binary64_1162` `cbrt-undiv_binary64_1145` `sum-log_binary64_1202` `clear-num_binary64_1110`

Counts

4 → 84

Calls

4 calls:

11.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
5.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

series397.0ms (8.9%)

Counts

4 → 12

Calls

4 calls:

238.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
73.0ms	(+.f64 (.f64 a c) (.f64 b d))
45.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
41.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify70.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5228	2326

prune115.0ms (2.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	95	12	107

Merged error: 22.5b

Counts

107 → 12

Compiler

Compiled 3839 to 839 computations (78.1% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.5b	(+.f64 (.f64 a c) (.f64 b d))
0.8b	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
24.6b	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))

rewrite50.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

90×	`times-frac_binary64_1117`
56×	`*-un-lft-identity_binary64_1111` `add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146`
18×	`associate-/r*_binary64_1055`
17×	`add-exp-log_binary64_1149`
11×	`add-cbrt-cube_binary64_1147` `associate-/r/_binary64_1057`
8×	`flip-+_binary64_1085` `flip3-+_binary64_1114` `div-exp_binary64_1162` `add-log-exp_binary64_1150`
6×	`div-inv_binary64_1108` `associate-/l*_binary64_1056`
5×	`pow1_binary64_1172`
4×	`cbrt-undiv_binary64_1145`
2×	`frac-2neg_binary64_1122` `associate-/l/_binary64_1058` `+-commutative_binary64_1041` `1-exp_binary64_1155` `rec-exp_binary64_1161` `sum-log_binary64_1202` `clear-num_binary64_1110`
1×	`pow-flip_binary64_1185` `inv-pow_binary64_1196`

Counts

4 → 137

Calls

4 calls:

12.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
10.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
8.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))

series492.0ms (11%)

Counts

4 → 12

Calls

4 calls:

272.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
106.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))
74.0ms	(+.f64 (.f64 a c) (.f64 b d))
40.0ms	(+.f64 (.f64 c c) (.f64 d d))

simplify98.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5342	4822

prune141.0ms (3.1%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	149	0	149
Fresh	0	9	9
Picked	0	1	1
Done	0	2	2
Total	149	12	161

Merged error: 22.5b

Counts

161 → 12

Compiler

Compiled 4477 to 840 computations (81.2% saved)

regimes139.0ms (3.1%)

Compiler: Compiled 1444 to 845 computations (41.5% saved)

bsearch1.0ms (0%)

Compiler: Compiled 15 to 11 computations (26.7% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	80
1	24	80

end0.0ms (0%)

sample833.0ms (18.7%)

Algorithm

1×

intervals

Results

345.0ms	8000×	body	128	valid
22.0ms	465×	body	128	invalid

Compiler

Compiled 370 to 204 computations (44.9% saved)

Details

analyze522.0ms (11.7%)

sample21.0ms (0.5%)

simplify171.0ms (3.8%)

prune2.0ms (0%)

localize10.0ms (0.2%)

rewrite23.0ms (0.5%)

series301.0ms (6.7%)

simplify45.0ms (1%)

prune271.0ms (6.1%)

localize13.0ms (0.3%)

rewrite33.0ms (0.7%)

series401.0ms (9%)

simplify71.0ms (1.6%)

prune176.0ms (4%)

localize15.0ms (0.3%)

rewrite36.0ms (0.8%)

series397.0ms (8.9%)

simplify70.0ms (1.6%)

prune115.0ms (2.6%)

localize12.0ms (0.3%)

rewrite50.0ms (1.1%)

series492.0ms (11%)

simplify98.0ms (2.2%)

prune141.0ms (3.1%)

regimes139.0ms (3.1%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample833.0ms (18.7%)

Profiling