Details

Time bar (total: 6.0s)

analyze1.4s (22.7%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
1.6%98.1%0.3%13
2.3%97.4%0.3%14
Compiler

Compiled 18 to 18 computations (0% saved)

sample33.0ms (0.5%)

Algorithm
1×intervals
Results
12.0ms256×body128valid
5.0ms111×body128invalid
Compiler

Compiled 35 to 41 computations (-17.1% saved)

simplify141.0ms (2.3%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
078825
178825

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
2.7b
Counts
2 → 1
Compiler

Compiled 34 to 34 computations (0% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
0.2b
(*.f64 (*.f64 y 9) z)
0.3b
(*.f64 (*.f64 a 27) b)
6.6b
(*.f64 (*.f64 (*.f64 y 9) z) t)

rewrite32.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
23×add-cbrt-cube_binary64_18869 pow1_binary64_18894 add-exp-log_binary64_18871
12×pow-prod-down_binary64_18904 cbrt-unprod_binary64_18866 prod-exp_binary64_18882
9×add-log-exp_binary64_18872 associate-*r*_binary64_18773
7×*-un-lft-identity_binary64_18833 add-cube-cbrt_binary64_18868 add-sqr-sqrt_binary64_18855
3×*-commutative_binary64_18764 associate-*l*_binary64_18774
2×sum-log_binary64_18924 associate-+l+_binary64_18766
1×+-commutative_binary64_18763 associate-+l-_binary64_18768 diff-log_binary64_18925 flip3-+_binary64_18836 flip-+_binary64_18807 sub-neg_binary64_18826 cancel-sign-sub-inv_binary64_18799
Counts
4 → 72
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
5.0ms
(*.f64 (*.f64 y 9) z)
5.0ms
(*.f64 (*.f64 a 27) b)

series198.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

139.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 (*.f64 y 9) z) t)) (*.f64 (*.f64 a 27) b))
27.0ms
(*.f64 (*.f64 (*.f64 y 9) z) t)
16.0ms
(*.f64 (*.f64 y 9) z)
16.0ms
(*.f64 (*.f64 a 27) b)

simplify88.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (73.0ms)

IterNodesCost
049781170
149781170

prune108.0ms (1.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New76884
Fresh000
Picked101
Done000
Total77885
Error
0.0b
Counts
85 → 8
Compiler

Compiled 1917 to 1282 computations (33.1% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t)))
0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t))) (*.f64 (*.f64 a 27) b))
0.3b
(*.f64 (*.f64 a 27) b)
5.5b
(*.f64 (*.f64 y 9) (*.f64 z t))

rewrite31.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
21×add-cbrt-cube_binary64_18869 pow1_binary64_18894 add-exp-log_binary64_18871
11×pow-prod-down_binary64_18904 add-log-exp_binary64_18872 cbrt-unprod_binary64_18866 prod-exp_binary64_18882
5×*-un-lft-identity_binary64_18833 add-cube-cbrt_binary64_18868 add-sqr-sqrt_binary64_18855
4×associate-*r*_binary64_18773
2×*-commutative_binary64_18764 sum-log_binary64_18924 diff-log_binary64_18925 associate-+l+_binary64_18766 associate-*l*_binary64_18774 sub-neg_binary64_18826 cancel-sign-sub-inv_binary64_18799
1×+-commutative_binary64_18763 associate-+l-_binary64_18768 flip--_binary64_18808 flip3-+_binary64_18836 flip3--_binary64_18837 flip-+_binary64_18807
Counts
4 → 67
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t))) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 (*.f64 y 9) (*.f64 z t))
6.0ms
(*.f64 (*.f64 a 27) b)
5.0ms
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t)))

series256.0ms (4.3%)

Counts
4 → 12
Calls

4 calls:

147.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t))) (*.f64 (*.f64 a 27) b))
66.0ms
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t)))
27.0ms
(*.f64 (*.f64 y 9) (*.f64 z t))
16.0ms
(*.f64 (*.f64 a 27) b)

simplify73.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
049451324
149451324

prune87.0ms (1.4%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New76379
Fresh347
Picked101
Done000
Total80787
Error
0.0b
Counts
87 → 7
Compiler

Compiled 1823 to 1104 computations (39.4% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t)))
0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t))) (*.f64 a (*.f64 27 b)))
0.2b
(*.f64 a (*.f64 27 b))
5.5b
(*.f64 (*.f64 y 9) (*.f64 z t))

rewrite30.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
21×add-cbrt-cube_binary64_18869 pow1_binary64_18894 add-exp-log_binary64_18871
11×pow-prod-down_binary64_18904 add-log-exp_binary64_18872 cbrt-unprod_binary64_18866 prod-exp_binary64_18882
5×*-un-lft-identity_binary64_18833 add-cube-cbrt_binary64_18868 add-sqr-sqrt_binary64_18855
4×associate-*l*_binary64_18774
2×*-commutative_binary64_18764 sum-log_binary64_18924 associate-*r*_binary64_18773 diff-log_binary64_18925 associate-+l+_binary64_18766 sub-neg_binary64_18826 cancel-sign-sub-inv_binary64_18799
1×+-commutative_binary64_18763 associate-+l-_binary64_18768 flip--_binary64_18808 flip3-+_binary64_18836 flip3--_binary64_18837 flip-+_binary64_18807
Counts
4 → 67
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t))) (*.f64 a (*.f64 27 b)))
7.0ms
(*.f64 (*.f64 y 9) (*.f64 z t))
6.0ms
(*.f64 a (*.f64 27 b))
4.0ms
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t)))

series239.0ms (4%)

Counts
4 → 12
Calls

4 calls:

135.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t))) (*.f64 a (*.f64 27 b)))
58.0ms
(-.f64 (*.f64 x 2) (*.f64 (*.f64 y 9) (*.f64 z t)))
30.0ms
(*.f64 (*.f64 y 9) (*.f64 z t))
15.0ms
(*.f64 a (*.f64 27 b))

simplify71.0ms (1.2%)

Algorithm
1×egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
049331322
149331322

prune87.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New78179
Fresh066
Picked011
Done000
Total78886
Error
0.0b
Counts
86 → 8
Compiler

Compiled 1832 to 1109 computations (39.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 (*.f64 x 2) (*.f64 y (*.f64 9 (*.f64 z t)))) (*.f64 (*.f64 a 27) b))
0.3b
(*.f64 9 (*.f64 z t))
0.3b
(*.f64 (*.f64 a 27) b)
5.4b
(*.f64 y (*.f64 9 (*.f64 z t)))

rewrite31.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
23×add-cbrt-cube_binary64_18869 pow1_binary64_18894 add-exp-log_binary64_18871
12×pow-prod-down_binary64_18904 cbrt-unprod_binary64_18866 prod-exp_binary64_18882
9×add-log-exp_binary64_18872
7×*-un-lft-identity_binary64_18833 add-cube-cbrt_binary64_18868 associate-*l*_binary64_18774 add-sqr-sqrt_binary64_18855
5×associate-*r*_binary64_18773
3×*-commutative_binary64_18764
2×sum-log_binary64_18924 associate-+l+_binary64_18766
1×+-commutative_binary64_18763 associate-+l-_binary64_18768 diff-log_binary64_18925 flip3-+_binary64_18836 flip-+_binary64_18807 sub-neg_binary64_18826 cancel-sign-sub-inv_binary64_18799
Counts
4 → 72
Calls

4 calls:

8.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 y (*.f64 9 (*.f64 z t)))) (*.f64 (*.f64 a 27) b))
7.0ms
(*.f64 y (*.f64 9 (*.f64 z t)))
5.0ms
(*.f64 9 (*.f64 z t))
5.0ms
(*.f64 (*.f64 a 27) b)

series198.0ms (3.3%)

Counts
4 → 12
Calls

4 calls:

140.0ms
(+.f64 (-.f64 (*.f64 x 2) (*.f64 y (*.f64 9 (*.f64 z t)))) (*.f64 (*.f64 a 27) b))
28.0ms
(*.f64 y (*.f64 9 (*.f64 z t)))
15.0ms
(*.f64 (*.f64 a 27) b)
15.0ms
(*.f64 9 (*.f64 z t))

simplify91.0ms (1.5%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
049561164
149561164

prune85.0ms (1.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New82284
Fresh156
Picked101
Done011
Total84892
Error
0.0b
Counts
92 → 8
Compiler

Compiled 1753 to 1047 computations (40.3% saved)

regimes1.1s (19.1%)

Accuracy

Total 0.7b remaining (96.5%)

Threshold costs 0.7b (96.5%)

Compiler

Compiled 10709 to 10403 computations (2.9% saved)

bsearch1.0ms (0%)

Compiler

Compiled 5 to 9 computations (-80% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
0180111
1180111

end0.0ms (0%)

sample1.6s (25.9%)

Algorithm
1×intervals
Results
391.0ms8000×body128valid
154.0ms3058×body128invalid
Compiler

Compiled 736 to 691 computations (6.1% saved)

Profiling

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