Details

Time bar (total: 1.9s)

analyze2.0ms (0.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 6 to 6 computations (0% saved)

sample11.0ms (0.6%)

Algorithm
intervals
Results
6.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify162.0ms (8.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
0528
1528

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1
Compiler

Compiled 10 to 10 computations (0% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))

rewrite3.0ms (0.1%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_1123 sqrt-prod_binary64_1117
*-un-lft-identity_binary64_1101 pow1_binary64_1162 add-cube-cbrt_binary64_1136
rem-sqrt-square_binary64_1114 add-log-exp_binary64_1140 add-exp-log_binary64_1139 sqrt-pow1_binary64_1119 add-cbrt-cube_binary64_1137 pow1/2_binary64_1181
Counts
1 → 13
Calls

1 calls:

2.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

series49.0ms (2.6%)

Counts
1 → 3
Calls

1 calls:

49.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify159.0ms (8.3%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (152.0ms)

IterNodesCost
04767157
14767157

prune11.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0b

Counts
17 → 3
Compiler

Compiled 156 to 48 computations (69.2% saved)

localize11.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b
(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
0.3b
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
0.5b
(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.5b
(cbrt.f64 (fabs.f64 (-.f64 x y)))

rewrite17.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt_binary64_1123
14×sqrt-prod_binary64_1117 cbrt-prod_binary64_1132
12×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
associate-*r*_binary64_1041
pow1_binary64_1162
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
add-log-exp_binary64_1140
pow1/3_binary64_1183 associate-*l*_binary64_1042 unswap-sqr_binary64_1069
rem-sqrt-square_binary64_1114 sqrt-pow1_binary64_1119
*-commutative_binary64_1032 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 pow-prod-down_binary64_1172 pow1/2_binary64_1181
Counts
4 → 66
Calls

4 calls:

7.0ms
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
2.0ms
(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
1.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))
1.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))

series494.0ms (25.7%)

Counts
4 → 12
Calls

4 calls:

179.0ms
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
114.0ms
(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
100.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))
100.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))

simplify71.0ms (3.7%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049061310
149061310

prune55.0ms (2.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh011
Picked011
Done011
Total78381

Merged error: 0b

Counts
81 → 3
Compiler

Compiled 1424 to 222 computations (84.4% saved)

localize8.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.5b
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
20.8b
(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))

rewrite13.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_1132
15×add-sqr-sqrt_binary64_1123 sqrt-prod_binary64_1117
14×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
12×cube-prod_binary64_1129 unpow-prod-down_binary64_1180
pow1_binary64_1162
add-exp-log_binary64_1139 add-cbrt-cube_binary64_1137
add-log-exp_binary64_1140 pow-pow_binary64_1173 pow-unpow_binary64_1178
cube-mult_binary64_1131 sqrt-pow1_binary64_1119 unpow3_binary64_1167 sqr-pow_binary64_1073 pow1/2_binary64_1181
pow-exp_binary64_1169 rem-cube-cbrt_binary64_1124 rem-sqrt-square_binary64_1114 pow1/3_binary64_1183 sqrt-pow2_binary64_1120 pow-to-exp_binary64_1170 rem-cbrt-cube_binary64_1125
Counts
3 → 72
Calls

3 calls:

3.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))
3.0ms
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
1.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

series191.0ms (9.9%)

Counts
3 → 9
Calls

3 calls:

110.0ms
(pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3)
44.0ms
(cbrt.f64 (pow.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))) 3))
37.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify94.0ms (4.9%)

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04894974
14894974

prune49.0ms (2.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New81081
Fresh000
Picked011
Done022
Total81384

Merged error: 0b

Counts
84 → 3
Compiler

Compiled 882 to 274 computations (68.9% saved)

regimes69.0ms (3.6%)

Compiler

Compiled 353 to 252 computations (28.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0168
1168

end0.0ms (0%)

sample445.0ms (23.1%)

Algorithm
intervals
Results
197.0ms8000×body128valid
Compiler

Compiled 76 to 57 computations (25% saved)

Profiling

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