Details

Time bar (total: 3.6s)

analyze4.0ms (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)

sample21.0ms (0.6%)

Algorithm
intervals
Results
11.0ms256×body128valid
Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify178.0ms (4.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
0708
1708

prune11.0ms (0.3%)

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)

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite4.0ms (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)))

series47.0ms (1.3%)

Counts
1 → 3
Calls

1 calls:

47.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify268.0ms (7.4%)

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (254.0ms)

IterNodesCost
04785157
14785157

prune20.0ms (0.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New14216
Fresh000
Picked011
Done000
Total14317

Merged error: 0.0b

Counts
17 → 3
Compiler

Compiled 168 to 48 computations (71.4% saved)

localize13.0ms (0.4%)

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)))

rewrite28.0ms (0.8%)

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:

12.0ms
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
3.0ms
(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))

series481.0ms (13.3%)

Counts
4 → 12
Calls

4 calls:

166.0ms
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))))
109.0ms
(sqrt.f64 (cbrt.f64 (fabs.f64 (-.f64 x y))))
107.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))
98.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))

simplify125.0ms (3.5%)

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (96.0ms)

IterNodesCost
049181310
149181310

prune104.0ms (2.9%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New77178
Fresh011
Picked011
Done011
Total77481

Merged error: 0b

Counts
81 → 4
Compiler

Compiled 1450 to 232 computations (84% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (fabs.f64 (-.f64 x y)))
0.3b
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (fabs.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
0.5b
(cbrt.f64 (fabs.f64 (-.f64 x y)))
0.6b
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))

rewrite21.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_1123
10×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
cbrt-prod_binary64_1132
pow1_binary64_1162
add-exp-log_binary64_1139 sqrt-prod_binary64_1117 add-cbrt-cube_binary64_1137
add-log-exp_binary64_1140
associate-*r*_binary64_1041 associate-*l*_binary64_1042
pow1/3_binary64_1183
*-commutative_binary64_1032 rem-sqrt-square_binary64_1114 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 sqrt-pow1_binary64_1119 pow-prod-down_binary64_1172 unswap-sqr_binary64_1069 pow1/2_binary64_1181
Counts
4 → 56
Calls

4 calls:

6.0ms
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (fabs.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
3.0ms
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
2.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))
2.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))

series320.0ms (8.9%)

Counts
4 → 12
Calls

4 calls:

112.0ms
(cbrt.f64 (fabs.f64 (-.f64 x y)))
97.0ms
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
75.0ms
(*.f64 (fabs.f64 (cbrt.f64 (fabs.f64 (-.f64 x y)))) (fabs.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))))
36.0ms
(sqrt.f64 (fabs.f64 (-.f64 x y)))

simplify128.0ms (3.5%)

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (98.0ms)

IterNodesCost
048611064
148611064

prune93.0ms (2.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh011
Picked011
Done022
Total68472

Merged error: 0b

Counts
72 → 4
Compiler

Compiled 1269 to 221 computations (82.6% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
0.6b
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
0.6b
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
0.6b
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))

rewrite47.0ms (1.3%)

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod_binary64_1132
44×add-sqr-sqrt_binary64_1123
29×sqrt-prod_binary64_1117
22×*-un-lft-identity_binary64_1101 add-cube-cbrt_binary64_1136
11×pow1_binary64_1162 swap-sqr_binary64_1068
pow1/3_binary64_1183 associate-*r*_binary64_1041 associate-*l*_binary64_1042 unswap-sqr_binary64_1069
add-exp-log_binary64_1139
add-log-exp_binary64_1140 add-cbrt-cube_binary64_1137
pow-prod-up_binary64_1171 pow-sqr_binary64_1074 pow-prod-down_binary64_1172
pow-plus_binary64_1164 *-commutative_binary64_1032 cbrt-unprod_binary64_1134 prod-exp_binary64_1150 pow2_binary64_1182
Counts
4 → 98
Calls

4 calls:

18.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
3.0ms
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
3.0ms
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
3.0ms
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))

series396.0ms (11%)

Counts
4 → 12
Calls

4 calls:

109.0ms
(*.f64 (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))) (cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y)))))
102.0ms
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
95.0ms
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))
91.0ms
(cbrt.f64 (sqrt.f64 (fabs.f64 (-.f64 x y))))

simplify132.0ms (3.7%)

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
052191910

prune148.0ms (4.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1100110
Fresh000
Picked011
Done033
Total1104114

Merged error: 0b

Counts
114 → 4
Compiler

Compiled 2625 to 289 computations (89% saved)

regimes159.0ms (4.4%)

Compiler

Compiled 528 to 332 computations (37.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0168
1168

end0.0ms (0%)

sample812.0ms (22.5%)

Algorithm
intervals
Results
331.0ms8000×body128valid
Compiler

Compiled 111 to 73 computations (34.2% saved)

Profiling

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