Details

analyze583.0ms (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	60	84
1	60	84
0	4	4
1	4	4

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%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14

Compiler

Compiled 9 to 9 computations (0% saved)

sample31.0ms (0.5%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
3.0ms	90×	body	128	nan
1.0ms	35×	body	128	invalid

Compiler

Compiled 17 to 21 computations (-23.5% saved)

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	15	12
1	15	12

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

Error

17.1b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.2b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0b	(/.f64 A (*.f64 V l))
16.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite19.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`sqrt-prod_binary64_1117`
11×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-r_binary64_1041`
9×	`times-frac_binary64_1107`
6×	`pow1_binary64_1162`
3×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-l*_binary64_1042`
2×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `sqrt-div_binary64_1118` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `unswap-sqr_binary64_1069`
1×	`-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-/r*_binary64_1045` `pow1/2_binary64_1181`

Counts

3 → 66

Calls

3 calls:

8.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series106.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

55.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
32.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.0ms	(/.f64 A (*.f64 V l))

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4793	857
1	4793	857

prune81.0ms (1.2%)

Pruning

16 alts after pruning (16 fresh and 0 done)

	Pruned	Kept	Total
New	59	16	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	60	16	76

Error

9.4b

Counts

76 → 16

Compiler

Compiled 1109 to 382 computations (65.6% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(/.f64 A (*.f64 V l))
4.0b	(/.f64 A (*.f64 V l))
16.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))
16.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139` `sqrt-prod_binary64_1117` `add-cbrt-cube_binary64_1137`
12×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `times-frac_binary64_1107`
6×	`pow1_binary64_1162` `associate-/l*_binary64_1046`
4×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`rem-sqrt-square_binary64_1114` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `sqrt-div_binary64_1118` `associate-/r*_binary64_1045` `pow1/2_binary64_1181`

Counts

4 → 78

Calls

4 calls:

7.0ms	(/.f64 A (*.f64 V l))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series100.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

32.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
30.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.0ms	(/.f64 A (*.f64 V l))
18.0ms	(/.f64 A (*.f64 V l))

simplify106.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4687	904
1	4687	904

prune83.0ms (1.3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	2	13	15
Picked	0	1	1
Done	0	0	0
Total	89	17	106

Error

9.4b

Counts

106 → 17

Compiler

Compiled 2046 to 529 computations (74.1% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(/.f64 A (*.f64 V l))
4.0b	(/.f64 A (*.f64 V l))
16.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))
16.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite22.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`add-sqr-sqrt_binary64_1123` `add-exp-log_binary64_1139` `sqrt-prod_binary64_1117` `add-cbrt-cube_binary64_1137`
12×	`*-un-lft-identity_binary64_1101` `add-cube-cbrt_binary64_1136` `times-frac_binary64_1107`
6×	`pow1_binary64_1162` `associate-/l*_binary64_1046`
4×	`add-log-exp_binary64_1140` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`rem-sqrt-square_binary64_1114` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `frac-2neg_binary64_1112` `sqrt-pow1_binary64_1119` `clear-num_binary64_1100` `sqrt-div_binary64_1118` `associate-/r*_binary64_1045` `pow1/2_binary64_1181`

Counts

4 → 78

Calls

4 calls:

5.0ms	(/.f64 A (*.f64 V l))
4.0ms	(/.f64 A (*.f64 V l))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
4.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

series99.0ms (1.5%)

Counts

4 → 12

Calls

4 calls:

31.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
30.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
19.0ms	(/.f64 A (*.f64 V l))
18.0ms	(/.f64 A (*.f64 V l))

simplify110.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	4687	904
1	4687	904

prune79.0ms (1.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	15	15
Picked	0	1	1
Done	0	1	1
Total	90	17	107

Error

9.4b

Counts

107 → 17

Compiler

Compiled 2029 to 557 computations (72.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.4b	(/.f64 1 (/.f64 V (/.f64 A l)))
1.2b	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
4.4b	(/.f64 V (/.f64 A l))
16.3b	(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))

rewrite170.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

1155×	`times-frac_binary64_1107`
574×	`add-sqr-sqrt_binary64_1123`
539×	`*-un-lft-identity_binary64_1101`
533×	`add-cube-cbrt_binary64_1136`
281×	`sqrt-prod_binary64_1117`
140×	`associate-r_binary64_1041`
57×	`associate-/r*_binary64_1045`
48×	`div-inv_binary64_1098`
32×	`add-exp-log_binary64_1139`
20×	`add-cbrt-cube_binary64_1137`
18×	`div-exp_binary64_1152`
14×	`associate-/r/_binary64_1047`
9×	`pow1_binary64_1162` `cbrt-undiv_binary64_1135`
8×	`unswap-sqr_binary64_1069`
7×	`rem-sqrt-square_binary64_1114`
6×	`associate-/l*_binary64_1046`
4×	`add-log-exp_binary64_1140`
3×	`1-exp_binary64_1145` `sqrt-pow1_binary64_1119` `rec-exp_binary64_1151` `associate-l_binary64_1042`
2×	`inv-pow_binary64_1186` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `sqrt-div_binary64_1118` `pow-flip_binary64_1175`
1×	`-commutative_binary64_1032` `cbrt-unprod_binary64_1134` `prod-exp_binary64_1150` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `pow1/2_binary64_1181`

Counts

4 → 593

Calls

4 calls:

47.0ms	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
20.0ms	(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))
13.0ms	(/.f64 1 (/.f64 V (/.f64 A l)))
6.0ms	(/.f64 V (/.f64 A l))

series154.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

56.0ms	(*.f64 c0 (sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l)))))
50.0ms	(sqrt.f64 (/.f64 1 (/.f64 V (/.f64 A l))))
27.0ms	(/.f64 V (/.f64 A l))
20.0ms	(/.f64 1 (/.f64 V (/.f64 A l)))

simplify215.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

605 → 605

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4988	12577
1	4988	12577

prune574.0ms (8.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	591	14	605
Fresh	11	3	14
Picked	1	0	1
Done	2	0	2
Total	605	17	622

Error

0.1b

Counts

622 → 17

Compiler

Compiled 11731 to 3774 computations (67.8% saved)

regimes1.4s (21.2%)

Accuracy

Total 1.1b remaining (95.3%)

Threshold costs 0b (0%)

Compiler

Compiled 15517 to 12261 computations (21% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	38
1	20	38

end0.0ms (0%)

sample2.5s (37.7%)

Algorithm

1×

intervals

Results

309.0ms	8000×	body	128	valid
116.0ms	3031×	body	128	nan
37.0ms	901×	body	128	invalid

Compiler

Compiled 1847 to 1467 computations (20.6% saved)

Details

analyze583.0ms (8.9%)

sample31.0ms (0.5%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite19.0ms (0.3%)

series106.0ms (1.6%)

simplify96.0ms (1.5%)

prune81.0ms (1.2%)

localize10.0ms (0.2%)

rewrite24.0ms (0.4%)

series100.0ms (1.5%)

simplify106.0ms (1.6%)

prune83.0ms (1.3%)

localize10.0ms (0.2%)

rewrite22.0ms (0.3%)

series99.0ms (1.5%)

simplify110.0ms (1.7%)

prune79.0ms (1.2%)

localize9.0ms (0.1%)

rewrite170.0ms (2.6%)

series154.0ms (2.3%)

simplify215.0ms (3.3%)

prune574.0ms (8.7%)

regimes1.4s (21.2%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.5s (37.7%)

Profiling