Details

Time bar (total: 17.6s)

analyze326.0ms (1.9%)

Algorithm
1×search
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
25%50%25.1%6
25%31.2%43.8%7
31.2%25%43.8%8
39%17.2%43.8%9
42.9%13.3%43.8%10
47.2%9%43.8%11
49.4%6.8%43.8%12
51.6%4.6%43.8%13
52.7%3.5%43.8%14
Compiler

Compiled 16 to 8 computations (50% saved)

sample59.0ms (0.3%)

Algorithm
1×intervals
Results
23.0ms256×body128valid
Compiler

Compiled 31 to 17 computations (45.2% saved)

simplify468.0ms (2.7%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
03913
13913

prune41.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 2
Compiler

Compiled 33 to 21 computations (36.4% saved)

localize91.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))
0.1b
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))

rewrite85.0ms (0.5%)

Algorithm
1×rewrite-expression-head
Rules
16×add-log-exp_binary64_12734
9×sum-log_binary64_12786
2×*-un-lft-identity_binary64_12695 associate-+l+_binary64_12628 add-cube-cbrt_binary64_12730 flip-+_binary64_12669 flip3-+_binary64_12698 add-exp-log_binary64_12733 add-sqr-sqrt_binary64_12717 +-commutative_binary64_12625 pow1_binary64_12756 add-cbrt-cube_binary64_12731
Counts
2 → 27
Calls

2 calls:

46.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
30.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))

series236.0ms (1.3%)

Counts
2 → 6
Calls

2 calls:

126.0ms
(+.f64 (+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y)) (*.f64 y y))
110.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y y)) (*.f64 y y))

simplify420.0ms (2.4%)

Algorithm
1×egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 0 (382.0ms)

IterNodesCost
04853565
14853565

prune528.0ms (3%)

Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New181533
Fresh011
Picked011
Done000
Total181735

Merged error: 0.0b

Counts
35 → 17
Compiler

Compiled 891 to 317 computations (64.4% saved)

localize36.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))
0.1b
(+.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) (*.f64 y y))

rewrite62.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
9×add-log-exp_binary64_12734
4×sum-log_binary64_12786
2×*-un-lft-identity_binary64_12695 add-cube-cbrt_binary64_12730 flip-+_binary64_12669 flip3-+_binary64_12698 add-exp-log_binary64_12733 add-sqr-sqrt_binary64_12717 +-commutative_binary64_12625 pow1_binary64_12756 add-cbrt-cube_binary64_12731 associate-+r+_binary64_12627
1×associate-+l+_binary64_12628 distribute-rgt-in_binary64_12645 distribute-lft-in_binary64_12644
Counts
2 → 26
Calls

2 calls:

30.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) (*.f64 y y))
20.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))

series106.0ms (0.6%)

Counts
2 → 6
Calls

2 calls:

60.0ms
(+.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) (*.f64 y y))
46.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))

simplify246.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
32 → 32
Iterations

Useful iterations: 0 (192.0ms)

IterNodesCost
05161551

prune381.0ms (2.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New29332
Fresh01515
Picked011
Done101
Total301949

Merged error: 0.0b

Counts
49 → 19
Compiler

Compiled 926 to 365 computations (60.6% saved)

localize40.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))
0.1b
(+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) 1) (*.f64 y y))

rewrite57.0ms (0.3%)

Algorithm
1×rewrite-expression-head
Rules
6×add-log-exp_binary64_12734
2×*-un-lft-identity_binary64_12695 add-cube-cbrt_binary64_12730 flip-+_binary64_12669 flip3-+_binary64_12698 sum-log_binary64_12786 add-exp-log_binary64_12733 add-sqr-sqrt_binary64_12717 +-commutative_binary64_12625 pow1_binary64_12756 add-cbrt-cube_binary64_12731 associate-+r+_binary64_12627
1×distribute-rgt-in_binary64_12645 distribute-lft-in_binary64_12644
Counts
2 → 24
Calls

2 calls:

35.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) 1) (*.f64 y y))
19.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))

series249.0ms (1.4%)

Counts
2 → 6
Calls

2 calls:

131.0ms
(+.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) 1) (*.f64 y y))
118.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))

simplify240.0ms (1.4%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (213.0ms)

IterNodesCost
04932526
14932526

prune638.0ms (3.6%)

Pruning

25 alts after pruning (23 fresh and 2 done)

PrunedKeptTotal
New23730
Fresh11617
Picked011
Done011
Total242549

Merged error: 0.0b

Counts
49 → 25
Compiler

Compiled 1093 to 493 computations (54.9% saved)

localize68.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))
0.1b
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) 1) 1) (*.f64 y y))

rewrite110.0ms (0.6%)

Algorithm
1×rewrite-expression-head
Rules
6×add-log-exp_binary64_12734
2×*-un-lft-identity_binary64_12695 add-cube-cbrt_binary64_12730 flip-+_binary64_12669 flip3-+_binary64_12698 sum-log_binary64_12786 add-exp-log_binary64_12733 add-sqr-sqrt_binary64_12717 +-commutative_binary64_12625 pow1_binary64_12756 add-cbrt-cube_binary64_12731 associate-+r+_binary64_12627
1×distribute-rgt-in_binary64_12645 distribute-lft-in_binary64_12644
Counts
2 → 24
Calls

2 calls:

76.0ms
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) 1) 1) (*.f64 y y))
21.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))

series374.0ms (2.1%)

Counts
2 → 6
Calls

2 calls:

207.0ms
(+.f64 (*.f64 x x) (*.f64 y (+.f64 y y)))
167.0ms
(+.f64 (pow.f64 (pow.f64 (+.f64 (*.f64 x x) (*.f64 y (+.f64 y y))) 1) 1) (*.f64 y y))

simplify336.0ms (1.9%)

Algorithm
1×egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 0 (283.0ms)

IterNodesCost
04932526
14932526

prune540.0ms (3.1%)

Pruning

31 alts after pruning (28 fresh and 3 done)

PrunedKeptTotal
New24630
Fresh02222
Picked011
Done022
Total243155

Merged error: 0.0b

Counts
55 → 31
Compiler

Compiled 594 to 222 computations (62.6% saved)

regimes3.4s (19.6%)

Compiler

Compiled 6875 to 4130 computations (39.9% saved)

bsearch2.7s (15.3%)

simplify18.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01219
11219

end0.0ms (0%)

sample5.7s (32.3%)

Algorithm
1×intervals
Results
1.0s8000×body128valid
1.0ms11×body128invalid
Compiler

Compiled 1344 to 809 computations (39.8% saved)

Pareto

0

Profiling

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