Details

Time bar (total: 2.2s)

analyze537.0ms (23.9%)

Algorithm
1×search
2×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02072
12072
033
133
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
0%99.9%0.1%5
0%99.9%0.1%6
12.5%87.4%0.1%7
18.7%81.1%0.1%8
28.1%71.8%0.1%9
42.1%57.7%0.1%10
49.1%50.7%0.1%11
57.3%42.5%0.1%12
66.9%33%0.1%13
71.7%28.2%0.1%14
Compiler

Compiled 13 to 10 computations (23.1% saved)

sample19.0ms (0.8%)

Algorithm
1×intervals
Results
10.0ms256×body128valid
Compiler

Compiled 25 to 22 computations (12% saved)

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
02018
12018

prune3.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
35.9b
Counts
2 → 1
Compiler

Compiled 24 to 18 computations (25% saved)

localize8.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
33.1b
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))

rewrite17.0ms (0.8%)

Algorithm
1×rewrite-expression-head
Rules
4×add-log-exp_binary64_16826 add-sqr-sqrt_binary64_16809
3×pow1_binary64_16848 add-cube-cbrt_binary64_16822 sqrt-prod_binary64_16803 *-un-lft-identity_binary64_16787
2×sqrt-div_binary64_16804 flip-+_binary64_16761 add-exp-log_binary64_16825 add-cbrt-cube_binary64_16823 flip3-+_binary64_16790
1×rem-sqrt-square_binary64_16800 pow1/2_binary64_16867 sum-log_binary64_16878 sqrt-pow1_binary64_16805 +-commutative_binary64_16717
Counts
2 → 26
Calls

2 calls:

9.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
6.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series94.0ms (4.2%)

Counts
2 → 6
Calls

2 calls:

74.0ms
(sqrt.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 z z)))
20.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify59.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
05150566

prune29.0ms (1.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh000
Picked011
Done000
Total29433
Error
0.3b
Counts
33 → 4
Compiler

Compiled 574 to 133 computations (76.8% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify9.0ms (0.4%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune3.0ms (0.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New000
Fresh022
Picked011
Done011
Total044
Error
0.3b
Counts
4 → 4
Compiler

Compiled 16 to 15 computations (6.3% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

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

series0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.3%)

Algorithm
1×egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
000

prune2.0ms (0.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New000
Fresh011
Picked011
Done022
Total044
Error
0.3b
Counts
4 → 4
Compiler

Compiled 15 to 12 computations (20% saved)

localize11.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y y))
0.1b
(pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3)
20.0b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3))
33.1b
(sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3)) (*.f64 z z)))

rewrite32.0ms (1.4%)

Algorithm
1×rewrite-expression-head
Rules
12×cbrt-prod_binary64_16818 add-sqr-sqrt_binary64_16809
11×add-cube-cbrt_binary64_16822 *-un-lft-identity_binary64_16787
6×add-log-exp_binary64_16826 pow1_binary64_16848 cube-prod_binary64_16815 unpow-prod-down_binary64_16866
5×add-exp-log_binary64_16825 add-cbrt-cube_binary64_16823
4×cube-div_binary64_16816 flip-+_binary64_16761 flip3-+_binary64_16790
3×pow-unpow_binary64_16864 sqrt-prod_binary64_16803
2×cube-mult_binary64_16817 unpow3_binary64_16853 sqrt-div_binary64_16804 cbrt-div_binary64_16819 sqr-pow_binary64_16759
1×rem-sqrt-square_binary64_16800 pow1/2_binary64_16867 sum-log_binary64_16878 sqrt-pow1_binary64_16805 pow-exp_binary64_16855 rem-cube-cbrt_binary64_16810 pow-pow_binary64_16859 pow1/3_binary64_16869 +-commutative_binary64_16717 pow-to-exp_binary64_16856 rem-cbrt-cube_binary64_16811
Counts
4 → 74
Calls

4 calls:

10.0ms
(sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3)) (*.f64 z z)))
6.0ms
(pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3)
5.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3))
5.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

series161.0ms (7.2%)

Counts
4 → 12
Calls

4 calls:

69.0ms
(sqrt.f64 (+.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3)) (*.f64 z z)))
49.0ms
(pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3)
23.0ms
(cbrt.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y y)) 3))
20.0ms
(+.f64 (*.f64 x x) (*.f64 y y))

simplify59.0ms (2.6%)

Algorithm
1×egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
050561476

prune66.0ms (2.9%)

Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New86086
Fresh000
Picked011
Done033
Total86490
Error
0.3b
Counts
90 → 4
Compiler

Compiled 1684 to 519 computations (69.2% saved)

regimes403.0ms (17.9%)

Accuracy

Total 10.6b remaining (96%)

Threshold costs 0b (0%)

Compiler

Compiled 1123 to 815 computations (27.4% saved)

bsearch29.0ms (1.3%)

Steps
ItersRangePoint
6
-15110023124325.59
-1664629789935.1228
-1692150555434.604
8
-4.214381520403767e+121
-1.4765665031396456e+119
-7.460596671287825e+120
Compiler

Compiled 1 to 3 computations (-200% saved)

simplify6.0ms (0.3%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02734
12734
Compiler

Compiled 46 to 32 computations (30.4% saved)

end0.0ms (0%)

sample689.0ms (30.6%)

Algorithm
1×intervals
Results
320.0ms8000×body128valid
Compiler

Compiled 131 to 96 computations (26.7% saved)

Profiling

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