Details

Time bar (total: 1.6s)

analyze183.0ms (11.4%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0824
1824
022
122
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
25%74.9%0.1%5
37.5%62.4%0.1%6
56.2%43.7%0.1%7
65.6%34.3%0.1%8
76.5%23.4%0.1%9
82%18%0.1%10
87.8%12.1%0.1%11
90.7%9.2%0.1%12
93.8%6.1%0.1%13
95.3%4.6%0.1%14
Compiler

Compiled 9 to 7 computations (22.2% saved)

sample19.0ms (1.2%)

Algorithm
1×intervals
Results
11.0ms256×body128valid
Compiler

Compiled 17 to 15 computations (11.8% saved)

simplify7.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0812
1812

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
32.6b
Counts
2 → 1
Compiler

Compiled 16 to 12 computations (25% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
30.7b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite9.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
4×add-log-exp_binary64_19213 add-sqr-sqrt_binary64_19196
3×sqrt-prod_binary64_19190 *-un-lft-identity_binary64_19174 pow1_binary64_19235 add-cube-cbrt_binary64_19209
2×sqrt-div_binary64_19191 flip3-+_binary64_19177 add-cbrt-cube_binary64_19210 add-exp-log_binary64_19212 flip-+_binary64_19148
1×sqrt-pow1_binary64_19192 +-commutative_binary64_19104 pow1/2_binary64_19254 rem-sqrt-square_binary64_19187 sum-log_binary64_19265
Counts
2 → 26
Calls

2 calls:

4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series45.0ms (2.8%)

Counts
2 → 6
Calls

2 calls:

24.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
21.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify68.0ms (4.2%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04924443
14924443

prune28.0ms (1.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433
Error
0.7b
Counts
33 → 4
Compiler

Compiled 420 to 114 computations (72.9% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044
Error
0.7b
Counts
4 → 4
Compiler

Compiled 20 to 10 computations (50% saved)

localize8.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
0.5b
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))))
30.7b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
30.7b
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

rewrite45.0ms (2.8%)

Algorithm
1×rewrite-expression-head
Rules
86×sqrt-prod_binary64_19190
62×add-sqr-sqrt_binary64_19196
38×sqrt-pow1_binary64_19192
32×sqrt-div_binary64_19191
31×pow1_binary64_19235
20×pow1/2_binary64_19254 *-un-lft-identity_binary64_19174 add-cube-cbrt_binary64_19209
15×swap-sqr_binary64_19141
12×rem-sqrt-square_binary64_19187
9×associate-*r*_binary64_19114 flip3-+_binary64_19177 flip-+_binary64_19148 associate-*l*_binary64_19115 unswap-sqr_binary64_19142 pow-prod-up_binary64_19244
6×add-cbrt-cube_binary64_19210 add-exp-log_binary64_19212
5×pow-sqr_binary64_19147 pow-prod-down_binary64_19245
4×add-log-exp_binary64_19213 frac-times_binary64_19184 sqr-abs_binary64_19189
2×associate-*r/_binary64_19116 associate-*l/_binary64_19117
1×prod-exp_binary64_19223 rem-square-sqrt_binary64_19186 pow2_binary64_19255 *-commutative_binary64_19105 cbrt-unprod_binary64_19207 sqrt-unprod_binary64_19194 pow-plus_binary64_19237
Counts
4 → 138
Calls

4 calls:

17.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))))
5.0ms
(sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
4.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

series137.0ms (8.5%)

Counts
4 → 12
Calls

4 calls:

57.0ms
(sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y))))
28.0ms
(*.f64 (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))) (sqrt.f64 (sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))))
27.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))
24.0ms
(sqrt.f64 (+.f64 (*.f64 x x) (*.f64 y y)))

simplify118.0ms (7.3%)

Algorithm
1×egg-herbie
Counts
150 → 150
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
048862359
148862359

prune102.0ms (6.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1500150
Fresh011
Picked011
Done022
Total1504154
Error
0.7b
Counts
154 → 4
Compiler

Compiled 2987 to 478 computations (84% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm
1×rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms (0%)

Counts
0 → 0

simplify6.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune1.0ms (0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New000
Fresh000
Picked011
Done033
Total044
Error
0.7b
Counts
4 → 4
Compiler

Compiled 0 to 0 computations (0% saved)

regimes232.0ms (14.5%)

Accuracy

Total 6.9b remaining (96.3%)

Threshold costs 0b (0%)

Compiler

Compiled 660 to 422 computations (36.1% saved)

bsearch23.0ms (1.4%)

Steps
ItersRangePoint
7
-6.724214751890231e-141
-1.885936919017803e-142
-1.9188115774116228e-142
7
-2.0758876113051619e+155
-7.838822288435352e+153
-7.963631238209208e+153
Compiler

Compiled 1 to 2 computations (-100% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02328
12328
Compiler

Compiled 38 to 26 computations (31.6% saved)

end0.0ms (0%)

sample550.0ms (34.3%)

Algorithm
1×intervals
Results
244.0ms8000×body128valid
Compiler

Compiled 107 to 72 computations (32.7% saved)

Profiling

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