Details

Time bar (total: 7.3s)

analyze702.0ms (9.7%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06084
16084
044
144
Search
TrueOtherFalseIter
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)

sample40.0ms (0.5%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
3.0ms76×body128nan
1.0ms24×body128invalid
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)

IterNodesCost
01512
11512

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
19.7b
Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.1b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
6.0b
(/.f64 A (*.f64 V l))
15.3b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite84.0ms (1.2%)

Algorithm
1×rewrite-expression-head
Error
7.9b
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)

series326.0ms (4.5%)

Error
19.7b
Counts
3 → 30
Calls

3 calls:

141.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
107.0ms
(/.f64 A (*.f64 V l))
66.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify78.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
048941105
148941105

prune85.0ms (1.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New811596
Fresh000
Picked011
Done000
Total811697
Error
7.9b
Counts
97 → 16
Compiler

Compiled 1287 to 385 computations (70.1% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

1.1b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
6.0b
(/.f64 (/.f64 A V) l)
15.3b
(sqrt.f64 (/.f64 (/.f64 A V) l))

rewrite213.0ms (2.9%)

Algorithm
1×rewrite-expression-head
Error
1.5b
Rules
213×times-frac_binary64_1107
134×add-sqr-sqrt_binary64_1123
117×add-cube-cbrt_binary64_1136 *-un-lft-identity_binary64_1101
89×sqrt-prod_binary64_1117
46×associate-*r*_binary64_1041
13×div-inv_binary64_1098 associate-/l*_binary64_1046
10×add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
6×pow1_binary64_1162
4×unswap-sqr_binary64_1069
3×add-log-exp_binary64_1140 rem-sqrt-square_binary64_1114 div-exp_binary64_1152 cbrt-undiv_binary64_1135 associate-/r*_binary64_1045 associate-*l*_binary64_1042
2×sqrt-div_binary64_1118
1×pow1/2_binary64_1181 sqrt-pow1_binary64_1119 frac-2neg_binary64_1112 clear-num_binary64_1100 associate-/l/_binary64_1048 pow-prod-down_binary64_1172 prod-exp_binary64_1150 cbrt-unprod_binary64_1134 associate-*r/_binary64_1043 *-commutative_binary64_1032
Counts
3 → 191
Calls

3 calls:

17.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
8.0ms
(sqrt.f64 (/.f64 (/.f64 A V) l))
6.0ms
(/.f64 (/.f64 A V) l)
Compiler

Compiled 3504 to 961 computations (72.6% saved)

series311.0ms (4.3%)

Error
7.9b
Counts
3 → 30
Calls

3 calls:

136.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
100.0ms
(/.f64 (/.f64 A V) l)
63.0ms
(sqrt.f64 (/.f64 (/.f64 A V) l))
Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify124.0ms (1.7%)

Algorithm
1×egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 0 (87.0ms)

IterNodesCost
049173725
149173725

prune176.0ms (2.4%)

Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New20615221
Fresh10414
Picked101
Done101
Total21819237
Error
0.0b
Counts
237 → 19
Compiler

Compiled 3736 to 1009 computations (73% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 l)
0.6b
(cbrt.f64 l)

rewrite53.0ms (0.7%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64_1132
8×add-cube-cbrt_binary64_1136 add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101
4×pow1/3_binary64_1183 pow1_binary64_1162 add-log-exp_binary64_1140 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 l)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 l)
Compiler

Compiled 1108 to 237 computations (78.6% saved)

series308.0ms (4.2%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

81.0ms
(cbrt.f64 l)
73.0ms
(cbrt.f64 l)
71.0ms
(cbrt.f64 A)
71.0ms
(cbrt.f64 A)
Compiler

Compiled 852 to 540 computations (36.6% saved)

simplify81.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (72.0ms)

IterNodesCost
04832324
14832324

prune76.0ms (1%)

Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New50656
Fresh31518
Picked011
Done000
Total532275
Error
0.0b
Counts
75 → 22
Compiler

Compiled 1739 to 552 computations (68.3% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 A)
0.6b
(cbrt.f64 l)
0.6b
(cbrt.f64 l)

rewrite59.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Error
0.0b
Rules
12×cbrt-prod_binary64_1132
8×add-cube-cbrt_binary64_1136 add-sqr-sqrt_binary64_1123 *-un-lft-identity_binary64_1101
4×pow1/3_binary64_1183 pow1_binary64_1162 add-log-exp_binary64_1140 add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 l)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 l)
Compiler

Compiled 1504 to 297 computations (80.3% saved)

series333.0ms (4.6%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

86.0ms
(cbrt.f64 l)
79.0ms
(cbrt.f64 l)
78.0ms
(cbrt.f64 A)
76.0ms
(cbrt.f64 A)
Compiler

Compiled 1176 to 653 computations (44.5% saved)

simplify82.0ms (1.1%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
04832324
14832324

prune60.0ms (0.8%)

Pruning

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh02020
Picked011
Done011
Total562278
Error
0.0b
Counts
78 → 22
Compiler

Compiled 1844 to 322 computations (82.5% saved)

regimes1.5s (20.6%)

Accuracy

Total 1.1b remaining (95.6%)

Threshold costs 0b (0%)

Compiler

Compiled 17456 to 12225 computations (30% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01635
11635
Remove

(sort V l)

Compiler

Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

sample2.5s (34.5%)

Algorithm
1×intervals
Results
291.0ms8000×body128valid
108.0ms2928×body128nan
29.0ms866×body128invalid
Compiler

Compiled 2028 to 1429 computations (29.5% saved)

Profiling

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