Details

analyze741.0ms (10.7%)

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)

sample39.0ms (0.6%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
4.0ms	104×	body	128	nan
1.0ms	25×	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

19.2b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.9b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.0b	(/.f64 A (*.f64 V l))
18.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite90.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

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:

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)))

Compiler

Compiled 937 to 244 computations (74% saved)

series317.0ms (4.6%)

Error

19.2b

Counts

3 → 30

Calls

3 calls:

138.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
101.0ms	(/.f64 A (*.f64 V l))
65.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify83.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune88.0ms (1.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	81	15	96
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	15	97

Error

9.7b

Counts

97 → 15

Compiler

Compiled 1299 to 384 computations (70.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.0b	(/.f64 A (*.f64 V l))
4.0b	(/.f64 A (*.f64 V l))
18.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))
18.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite85.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

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:

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)))

Compiler

Compiled 1748 to 384 computations (78% saved)

series383.0ms (5.6%)

Error

9.7b

Counts

4 → 36

Calls

4 calls:

114.0ms	(/.f64 A (*.f64 V l))
113.0ms	(/.f64 A (*.f64 V l))
72.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
64.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 2130 to 1122 computations (47.3% saved)

simplify115.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4962	1144
1	4962	1144

prune101.0ms (1.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	14	14
Picked	1	0	1
Done	0	0	0
Total	114	15	129

Error

9.7b

Counts

129 → 15

Compiler

Compiled 2479 to 566 computations (77.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.0b	(/.f64 A (*.f64 V l))
4.0b	(/.f64 A (*.f64 V l))
18.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))
18.7b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite81.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

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)

series384.0ms (5.6%)

Error

9.7b

Counts

4 → 36

Calls

4 calls:

116.0ms	(/.f64 A (*.f64 V l))
110.0ms	(/.f64 A (*.f64 V l))
73.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
66.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 2130 to 1116 computations (47.6% saved)

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	4962	1144
1	4962	1144

prune94.0ms (1.4%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	114	15	129

Error

9.7b

Counts

129 → 15

Compiler

Compiled 2462 to 516 computations (79% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

4.0b	(/.f64 A (*.f64 V l))
4.0b	(/.f64 A (*.f64 V l))
21.4b	(cbrt.f64 (/.f64 A (*.f64 V l)))
21.4b	(cbrt.f64 (/.f64 A (*.f64 V l)))

rewrite86.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

9.7b

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:

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

series983.0ms (14.3%)

Error

9.7b

Counts

4 → 36

Calls

4 calls:

366.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
361.0ms	(cbrt.f64 (/.f64 A (*.f64 V l)))
115.0ms	(/.f64 A (*.f64 V l))
110.0ms	(/.f64 A (*.f64 V l))

Compiler

Compiled 2214 to 1345 computations (39.3% saved)

simplify100.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4986	1136
1	4986	1136

prune88.0ms (1.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	107	3	110
Fresh	2	11	13
Picked	1	0	1
Done	0	1	1
Total	110	15	125

Error

9.7b

Counts

125 → 15

Compiler

Compiled 2188 to 392 computations (82.1% saved)

regimes972.0ms (14.1%)

Accuracy

Total 4.1b remaining (31.5%)

Threshold costs 0b (0%)

Compiler

Compiled 7672 to 5094 computations (33.6% saved)

bsearch2.0ms (0%)

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

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	31	59
1	31	59

Compiler

Compiled 78 to 48 computations (38.5% saved)

end0.0ms (0%)

sample1.9s (27.5%)

Algorithm

1×

intervals

Results

309.0ms	8000×	body	128	valid
108.0ms	2918×	body	128	nan
32.0ms	899×	body	128	invalid

Compiler

Compiled 802 to 543 computations (32.3% saved)

Details

analyze741.0ms (10.7%)

sample39.0ms (0.6%)

simplify7.0ms (0.1%)

prune2.0ms (0%)

localize6.0ms (0.1%)

rewrite90.0ms (1.3%)

series317.0ms (4.6%)

simplify83.0ms (1.2%)

prune88.0ms (1.3%)

localize9.0ms (0.1%)

rewrite85.0ms (1.2%)

series383.0ms (5.6%)

simplify115.0ms (1.7%)

prune101.0ms (1.5%)

localize9.0ms (0.1%)

rewrite81.0ms (1.2%)

series384.0ms (5.6%)

simplify114.0ms (1.7%)

prune94.0ms (1.4%)

localize11.0ms (0.2%)

rewrite86.0ms (1.3%)

series983.0ms (14.3%)

simplify100.0ms (1.5%)

prune88.0ms (1.3%)

regimes972.0ms (14.1%)

bsearch2.0ms (0%)

simplify11.0ms (0.2%)

end0.0ms (0%)

sample1.9s (27.5%)

Profiling