Details

analyze883.0ms (9.8%)

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

Symmetry

(sort V l)

Compiler

Compiled 9 to 9 computations (0% saved)

sample45.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	113×	body	128	nan
1.0ms	33×	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

19.9b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.9b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.3b	(/.f64 A (*.f64 V l))
16.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite318.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

Rules

16×	`add-sqr-sqrt_binary64_1123`
15×	`sqrt-prod_binary64_1117`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
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×	`sqrt-div_binary64_1118` `prod-exp_binary64_1150` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r_binary64_1045` `pow-prod-down_binary64_1172` `associate-r/_binary64_1043` `*-commutative_binary64_1032`

Counts

3 → 66

Calls

3 calls:

12.0ms	(.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)))

Compiler

Compiled 937 to 244 computations (74% saved)

series438.0ms (4.9%)

Error

19.9b

Counts

3 → 30

Calls

3 calls:

194.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
145.0ms	(/.f64 A (*.f64 V l))
86.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify87.0ms (1%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune100.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	82	14	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	15	97

Error

10.2b

Counts

97 → 15

Compiler

Compiled 1275 to 372 computations (70.8% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.3b	(/.f64 A (*.f64 V l))
4.3b	(/.f64 A (*.f64 V l))
16.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))
16.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite89.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-sqr-sqrt_binary64_1123` `sqrt-prod_binary64_1117`
12×	`add-cube-cbrt_binary64_1136` `times-frac_binary64_1107` `*-un-lft-identity_binary64_1101`
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×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `sqrt-div_binary64_1118` `rem-sqrt-square_binary64_1114` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r*_binary64_1045`

Counts

4 → 78

Calls

4 calls:

4.0ms	(/.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)))

Compiler

Compiled 1748 to 347 computations (80.1% saved)

series423.0ms (4.7%)

Error

10.2b

Counts

4 → 36

Calls

4 calls:

125.0ms	(/.f64 A (*.f64 V l))
118.0ms	(/.f64 A (*.f64 V l))
79.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
78.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 2130 to 1116 computations (47.6% saved)

simplify124.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (106.0ms)

Iter	Nodes	Cost
0	4962	1144
1	4962	1144

prune106.0ms (1.2%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	1	12	13
Picked	1	0	1
Done	0	1	1
Total	114	15	129

Error

10.2b

Counts

129 → 15

Compiler

Compiled 2458 to 517 computations (79% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.3b	(/.f64 A (*.f64 V l))
4.3b	(/.f64 A (*.f64 V l))
18.4b	(cbrt.f64 (/.f64 A (*.f64 V l)))
18.4b	(cbrt.f64 (/.f64 A (*.f64 V l)))

rewrite103.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

10.2b

Rules

14×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `cbrt-prod_binary64_1132`
12×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `times-frac_binary64_1107` `*-un-lft-identity_binary64_1101`
6×	`associate-/l*_binary64_1046`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140` `div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
2×	`pow1/3_binary64_1183` `cbrt-div_binary64_1133` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r*_binary64_1045`

Counts

4 → 74

Calls

4 calls:

8.0ms	(/.f64 A (*.f64 V l))
6.0ms	(/.f64 A (*.f64 V l))
3.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
3.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1672 to 353 computations (78.9% saved)

series1.2s (13%)

Error

10.2b

Counts

4 → 36

Calls

4 calls:

460.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
410.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
141.0ms	(/.f64 A (*.f64 V l))
129.0ms	(/.f64 A (*.f64 V l))

Compiler

Compiled 2214 to 1345 computations (39.3% saved)

simplify121.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4986	1136
1	4986	1136

prune118.0ms (1.3%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	2	11	13
Picked	0	1	1
Done	0	1	1
Total	110	15	125

Error

10.2b

Counts

125 → 15

Compiler

Compiled 2393 to 546 computations (77.2% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 A)
4.3b	(/.f64 A (*.f64 V l))
12.4b	(cbrt.f64 (*.f64 V l))
18.4b	(cbrt.f64 (/.f64 A (*.f64 V l)))

rewrite67.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

5.2b

Rules

11×	`cbrt-prod_binary64_1132`
9×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
6×	`times-frac_binary64_1107`
4×	`pow1_binary64_1162` `add-log-exp_binary64_1140`
3×	`pow1/3_binary64_1183` `associate-/l*_binary64_1046`
2×	`div-inv_binary64_1098` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`cbrt-div_binary64_1133` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r*_binary64_1045`

Counts

4 → 57

Calls

4 calls:

4.0ms	(/.f64 A (*.f64 V l))
3.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
2.0ms	(cbrt.f64 (*.f64 V l))
1.0ms	(cbrt.f64 A)

Compiler

Compiled 1320 to 333 computations (74.8% saved)

series871.0ms (9.7%)

Error

8.2b

Counts

4 → 27

Calls

4 calls:

425.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
222.0ms	(cbrt.f64 (*.f64 V l))
113.0ms	(/.f64 A (*.f64 V l))
82.0ms	(cbrt.f64 A)

Compiler

Compiled 1785 to 1197 computations (32.9% saved)

simplify64.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4971	814
1	4971	814

prune81.0ms (0.9%)

Pruning

18 alts after pruning (15 fresh and 3 done)

	Pruned	Kept	Total
New	80	4	84
Fresh	1	11	12
Picked	0	1	1
Done	0	2	2
Total	81	18	99

Error

5.2b

Counts

99 → 18

Compiler

Compiled 1779 to 379 computations (78.7% saved)

regimes1.4s (15.4%)

Accuracy

Total 4.5b remaining (51.3%)

Threshold costs 0b (0%)

Compiler

Compiled 10708 to 7594 computations (29.1% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 5 computations (-66.7% saved)

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	44	89
1	44	89

Remove

(sort V l)

Compiler

Compiled 114 to 68 computations (40.4% saved)

end0.0ms (0%)

sample2.4s (26.1%)

Algorithm

1×

intervals

Results

391.0ms	8000×	body	128	valid
140.0ms	3081×	body	128	nan
39.0ms	858×	body	128	invalid

Compiler

Compiled 1188 to 854 computations (28.1% saved)

Details

analyze883.0ms (9.8%)

sample45.0ms (0.5%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite318.0ms (3.5%)

series438.0ms (4.9%)

simplify87.0ms (1%)

prune100.0ms (1.1%)

localize9.0ms (0.1%)

rewrite89.0ms (1%)

series423.0ms (4.7%)

simplify124.0ms (1.4%)

prune106.0ms (1.2%)

localize10.0ms (0.1%)

rewrite103.0ms (1.1%)

series1.2s (13%)

simplify121.0ms (1.3%)

prune118.0ms (1.3%)

localize14.0ms (0.2%)

rewrite67.0ms (0.7%)

series871.0ms (9.7%)

simplify64.0ms (0.7%)

prune81.0ms (0.9%)

regimes1.4s (15.4%)

bsearch2.0ms (0%)

simplify15.0ms (0.2%)

end0.0ms (0%)

sample2.4s (26.1%)

Profiling