Details

Time bar (total: 8.5s)

analyze738.0ms (8.7%)

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)

sample39.0ms (0.5%)

Algorithm
1×intervals
Results
9.0ms256×body128valid
3.0ms90×body128nan
1.0ms30×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

prune3.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
20.3b
Counts
2 → 1
Compiler

Compiled 16 to 16 computations (0% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.7b
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
5.9b
(/.f64 A (*.f64 V l))
17.7b
(sqrt.f64 (/.f64 A (*.f64 V l)))

rewrite92.0ms (1.1%)

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)

series341.0ms (4%)

Error
20.3b
Counts
3 → 30
Calls

3 calls:

156.0ms
(*.f64 c0 (sqrt.f64 (/.f64 A (*.f64 V l))))
105.0ms
(/.f64 A (*.f64 V l))
68.0ms
(sqrt.f64 (/.f64 A (*.f64 V l)))
Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify82.0ms (1%)

Algorithm
1×egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
048941105
148941105

prune86.0ms (1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New841296
Fresh000
Picked011
Done000
Total841397
Error
9.7b
Counts
97 → 13
Compiler

Compiled 1236 to 348 computations (71.8% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.7b
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
5.1b
(/.f64 (/.f64 A V) l)
17.7b
(sqrt.f64 (/.f64 (/.f64 A V) l))

rewrite235.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Error
0.8b
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:

21.0ms
(*.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)

series334.0ms (3.9%)

Error
9.7b
Counts
3 → 30
Calls

3 calls:

150.0ms
(*.f64 c0 (sqrt.f64 (/.f64 (/.f64 A V) l)))
104.0ms
(/.f64 (/.f64 A V) l)
68.0ms
(sqrt.f64 (/.f64 (/.f64 A V) l))
Compiler

Compiled 1032 to 758 computations (26.6% saved)

simplify134.0ms (1.6%)

Algorithm
1×egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 0 (91.0ms)

IterNodesCost
049173725
149173725

prune193.0ms (2.3%)

Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New20714221
Fresh7411
Picked101
Done101
Total21618234
Error
0.0b
Counts
234 → 18
Compiler

Compiled 3718 to 991 computations (73.3% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite49.0ms (0.6%)

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

Compiled 1108 to 252 computations (77.3% saved)

series320.0ms (3.8%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

83.0ms
(cbrt.f64 A)
79.0ms
(cbrt.f64 A)
75.0ms
(cbrt.f64 V)
72.0ms
(cbrt.f64 V)
Compiler

Compiled 852 to 558 computations (34.5% saved)

simplify84.0ms (1%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (74.0ms)

IterNodesCost
04832324
14832324

prune72.0ms (0.8%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh11617
Picked011
Done000
Total551974
Error
0.0b
Counts
74 → 19
Compiler

Compiled 1644 to 508 computations (69.1% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite63.0ms (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 V)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 A)
1.0ms
(cbrt.f64 V)
Compiler

Compiled 1504 to 302 computations (79.9% saved)

series343.0ms (4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

89.0ms
(cbrt.f64 A)
87.0ms
(cbrt.f64 A)
79.0ms
(cbrt.f64 V)
73.0ms
(cbrt.f64 V)
Compiler

Compiled 1176 to 647 computations (45% saved)

simplify88.0ms (1%)

Algorithm
1×egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
04832324
14832324

prune64.0ms (0.7%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh31417
Picked101
Done011
Total571875
Error
0.0b
Counts
75 → 18
Compiler

Compiled 1844 to 325 computations (82.4% saved)

regimes1.8s (21.3%)

Accuracy

Total 1.1b remaining (96.3%)

Threshold costs 0b (0%)

Compiler

Compiled 19351 to 13473 computations (30.4% saved)

bsearch0.0ms (0%)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01635
11635
Compiler

Compiled 42 to 26 computations (38.1% saved)

end0.0ms (0%)

sample3.3s (38.5%)

Algorithm
1×intervals
Results
305.0ms8000×body128valid
106.0ms2893×body128nan
33.0ms882×body128invalid
Compiler

Compiled 2287 to 1599 computations (30.1% saved)

Profiling

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