Details

analyze1.4s (12.2%)

Algorithm

2×	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%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	6
0%	93.6%	6.4%	7
0%	93.6%	6.4%	7
3.1%	84.2%	12.7%	8
3.1%	84.2%	12.7%	8
12.5%	67.1%	20.5%	9
12.5%	67.1%	20.5%	9
16%	63.5%	20.5%	10
16%	63.5%	20.5%	10
17.9%	57.7%	24.4%	11
17.9%	57.7%	24.4%	11
22.6%	48.7%	28.7%	12
22.6%	48.7%	28.7%	12
28.7%	37.8%	33.6%	13
28.7%	37.8%	33.6%	13
30.4%	35.9%	33.7%	14
30.4%	35.9%	33.7%	14

Symmetry

(sort V l)

Compiler

Compiled 18 to 18 computations (0% saved)

sample2.4s (21.6%)

Algorithm

2×

intervals

Results

28.0ms	599×	body	128	nan
20.0ms	512×	body	128	valid
3.0ms	67×	body	128	invalid

Compiler

Compiled 5030 to 7262 computations (-44.4% 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

prune3.0ms (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

19.7b

Counts

2 → 1

Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

3.1b	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
4.8b	(/.f64 A (*.f64 V l))
14.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite90.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

10.4b

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)

series501.0ms (4.5%)

Error

19.7b

Counts

3 → 30

Calls

3 calls:

231.0ms	(.f64 c0 (sqrt.f64 (/.f64 A (.f64 V l))))
160.0ms	(/.f64 A (*.f64 V l))
97.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4894	1105
1	4894	1105

prune91.0ms (0.8%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	85	11	96
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	85	12	97

Error

10.4b

Counts

97 → 12

Compiler

Compiled 1225 to 339 computations (72.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

4.8b	(/.f64 A (*.f64 V l))
4.8b	(/.f64 A (*.f64 V l))
14.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))
14.3b	(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite104.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

10.4b

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 347 computations (80.1% saved)

series542.0ms (4.9%)

Error

10.4b

Counts

4 → 36

Calls

4 calls:

172.0ms	(/.f64 A (*.f64 V l))
146.0ms	(/.f64 A (*.f64 V l))
107.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))
93.0ms	(sqrt.f64 (/.f64 A (*.f64 V l)))

Compiler

Compiled 2130 to 1116 computations (47.6% saved)

simplify108.0ms (1%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4962	1144
1	4962	1144

prune115.0ms (1%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	112	14	126

Error

10.4b

Counts

126 → 14

Compiler

Compiled 2425 to 495 computations (79.6% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

1.1b	(/.f64 1 (*.f64 V l))
3.1b	(.f64 c0 (sqrt.f64 (.f64 A (/.f64 1 (*.f64 V l)))))
4.3b	(.f64 A (/.f64 1 (.f64 V l)))
14.3b	(sqrt.f64 (.f64 A (/.f64 1 (.f64 V l))))

rewrite122.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

10.4b

Rules

36×	`add-exp-log_binary64_1139`
20×	`add-cbrt-cube_binary64_1137`
15×	`add-sqr-sqrt_binary64_1123`
14×	`pow1_binary64_1162` `prod-exp_binary64_1150`
11×	`add-cube-cbrt_binary64_1136` `-un-lft-identity_binary64_1101` `associate-r*_binary64_1041`
8×	`div-exp_binary64_1152`
6×	`cbrt-unprod_binary64_1134` `associate-l_binary64_1042` `times-frac_binary64_1107`
5×	`associate-*r/_binary64_1043`
4×	`add-log-exp_binary64_1140` `pow-prod-down_binary64_1172` `sqrt-div_binary64_1118` `1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135`
3×	`un-div-inv_binary64_1099` `associate-/l*_binary64_1046`
2×	`sqrt-pow1_binary64_1119` `sqrt-prod_binary64_1117` `unswap-sqr_binary64_1069` `div-inv_binary64_1098` `*-commutative_binary64_1032` `pow-flip_binary64_1175`
1×	`pow1/2_binary64_1181` `inv-pow_binary64_1186` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/r*_binary64_1045`

Counts

4 → 94

Calls

4 calls:

8.0ms	(.f64 c0 (sqrt.f64 (.f64 A (/.f64 1 (*.f64 V l)))))
8.0ms	(.f64 A (/.f64 1 (.f64 V l)))
5.0ms	(sqrt.f64 (.f64 A (/.f64 1 (.f64 V l))))
4.0ms	(/.f64 1 (*.f64 V l))

Compiler

Compiled 1480 to 815 computations (44.9% saved)

series568.0ms (5.1%)

Error

10.4b

Counts

4 → 36

Calls

4 calls:

219.0ms	(.f64 c0 (sqrt.f64 (.f64 A (/.f64 1 (*.f64 V l)))))
164.0ms	(.f64 A (/.f64 1 (.f64 V l)))
99.0ms	(sqrt.f64 (.f64 A (/.f64 1 (.f64 V l))))
70.0ms	(/.f64 1 (*.f64 V l))

Compiler

Compiled 1212 to 908 computations (25.1% saved)

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4926	1265
1	4926	1265

prune103.0ms (0.9%)

Pruning

15 alts after pruning (12 fresh and 3 done)

	Pruned	Kept	Total
New	129	1	130
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	129	15	144

Error

10.4b

Counts

144 → 15

Compiler

Compiled 1676 to 637 computations (62% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

14.3b	(sqrt.f64 (.f64 (.f64 A (.f64 (cbrt.f64 (/.f64 1 (.f64 V l))) (cbrt.f64 (/.f64 1 (.f64 V l))))) (cbrt.f64 (/.f64 1 (.f64 V l)))))
14.6b	(cbrt.f64 (/.f64 1 (*.f64 V l)))
14.6b	(cbrt.f64 (/.f64 1 (*.f64 V l)))
14.6b	(cbrt.f64 (/.f64 1 (*.f64 V l)))

rewrite145.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

8.1b

Rules

21×	`cbrt-prod_binary64_1132`
15×	`cbrt-div_binary64_1133`
14×	`pow1_binary64_1162`
10×	`add-cube-cbrt_binary64_1136` `add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
9×	`times-frac_binary64_1107` `associate-*r/_binary64_1043`
7×	`sqrt-div_binary64_1118`
6×	`pow-prod-down_binary64_1172`
5×	`frac-times_binary64_1111` `associate-*l/_binary64_1044`
4×	`add-log-exp_binary64_1140` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `sqrt-pow1_binary64_1119`
3×	`pow1/3_binary64_1183` `div-inv_binary64_1098`
1×	`pow1/2_binary64_1181` `sqrt-prod_binary64_1117`

Counts

4 → 68

Calls

4 calls:

12.0ms	(sqrt.f64 (.f64 (.f64 A (.f64 (cbrt.f64 (/.f64 1 (.f64 V l))) (cbrt.f64 (/.f64 1 (.f64 V l))))) (cbrt.f64 (/.f64 1 (.f64 V l)))))
4.0ms	(cbrt.f64 (/.f64 1 (*.f64 V l)))
4.0ms	(cbrt.f64 (/.f64 1 (*.f64 V l)))
3.0ms	(cbrt.f64 (/.f64 1 (*.f64 V l)))

Compiler

Compiled 2161 to 1284 computations (40.6% saved)

series1.1s (10.2%)

Error

10.4b

Counts

4 → 27

Calls

4 calls:

322.0ms	(cbrt.f64 (/.f64 1 (*.f64 V l)))
318.0ms	(cbrt.f64 (/.f64 1 (*.f64 V l)))
316.0ms	(cbrt.f64 (/.f64 1 (*.f64 V l)))
147.0ms	(sqrt.f64 (.f64 (.f64 A (.f64 (cbrt.f64 (/.f64 1 (.f64 V l))) (cbrt.f64 (/.f64 1 (.f64 V l))))) (cbrt.f64 (/.f64 1 (.f64 V l)))))

Compiler

Compiled 2095 to 1651 computations (21.2% saved)

simplify59.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4999	1142
1	4999	1142

prune129.0ms (1.2%)

Pruning

15 alts after pruning (11 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	11	11
Picked	0	1	1
Done	0	3	3
Total	95	15	110

Error

10.4b

Counts

110 → 15

Compiler

Compiled 2354 to 1310 computations (44.4% saved)

regimes916.0ms (8.2%)

Accuracy

Total 2.5b remaining (28.3%)

Threshold costs 0b (0%)

Compiler

Compiled 7117 to 4729 computations (33.6% saved)

bsearch2.0ms (0%)

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

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	121
1	51	121

Compiler

Compiled 156 to 84 computations (46.2% saved)

end0.0ms (0%)

sample2.4s (21.8%)

Algorithm

1×

intervals

Results

335.0ms	8775×	body	128	nan
310.0ms	8000×	body	128	valid
35.0ms	925×	body	128	invalid

Compiler

Compiled 786 to 524 computations (33.3% saved)

Details

analyze1.4s (12.2%)

sample2.4s (21.6%)

simplify7.0ms (0.1%)

prune3.0ms (0%)

localize7.0ms (0.1%)

rewrite90.0ms (0.8%)

series501.0ms (4.5%)

simplify76.0ms (0.7%)

prune91.0ms (0.8%)

localize10.0ms (0.1%)

rewrite104.0ms (0.9%)

series542.0ms (4.9%)

simplify108.0ms (1%)

prune115.0ms (1%)

localize8.0ms (0.1%)

rewrite122.0ms (1.1%)

series568.0ms (5.1%)

simplify76.0ms (0.7%)

prune103.0ms (0.9%)

localize12.0ms (0.1%)

rewrite145.0ms (1.3%)

series1.1s (10.2%)

simplify59.0ms (0.5%)

prune129.0ms (1.2%)

regimes916.0ms (8.2%)

bsearch2.0ms (0%)

simplify15.0ms (0.1%)

end0.0ms (0%)

sample2.4s (21.8%)

Profiling