Details

Time bar (total: 1.6s)

analyze267.0ms (16.9%)

Algorithm
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
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
31.2%68.6%0.1%9
43.3%49.9%6.8%10
49.7%40.8%9.5%11
55.7%34%10.3%12
61.3%24.4%14.3%13
65%19.8%15.3%14

sample14.0ms (0.9%)

Algorithm
intervals
Results
6.0ms256×body80valid
0.0ms15×body80invalid

simplify13.0ms (0.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (11.0ms)

IterNodesCost
03007
13007

prune5.0ms (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

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(+.f64 x (*.f64 (-.f64 y x) z))
0.0b
(*.f64 (-.f64 y x) z)

rewrite11.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64
*-un-lft-identity_binary64
associate-*l*_binary64
add-log-exp_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64
associate-*l/_binary64
pow-prod-down_binary64 flip3-+_binary64 flip3--_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 difference-of-squares_binary64 distribute-lft-out--_binary64 +-commutative_binary64 flip--_binary64 flip-+_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 33
Calls

2 calls:

7.0ms
(*.f64 (-.f64 y x) z)
4.0ms
(+.f64 x (*.f64 (-.f64 y x) z))

series17.0ms (1.1%)

Counts
2 → 6
Calls

2 calls:

9.0ms
(*.f64 (-.f64 y x) z)
9.0ms
(+.f64 x (*.f64 (-.f64 y x) z))

simplify52.0ms (3.3%)

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05046303

prune42.0ms (2.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New37239
Fresh000
Picked011
Done000
Total37340

Merged error: 0b

Counts
40 → 3

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite13.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64
23×add-sqr-sqrt_binary64
15×*-un-lft-identity_binary64 add-cube-cbrt_binary64
11×pow1_binary64
pow1/3_binary64
swap-sqr_binary64 associate-*r*_binary64 add-exp-log_binary64 associate-*l*_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 unswap-sqr_binary64
pow-prod-down_binary64 pow-prod-up_binary64 pow-sqr_binary64
cbrt-unprod_binary64 pow-plus_binary64 prod-exp_binary64 pow2_binary64 *-commutative_binary64
Counts
4 → 73
Calls

4 calls:

6.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
3.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series79.0ms (5%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(*.f64 (cbrt.f64 z) (cbrt.f64 z))
18.0ms
(cbrt.f64 z)
18.0ms
(cbrt.f64 z)
18.0ms
(cbrt.f64 z)

simplify46.0ms (2.9%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04940374
14940374

prune80.0ms (5.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done011
Total85388

Merged error: 0b

Counts
88 → 3

localize14.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.3b
(+.f64 (*.f64 x x) (*.f64 y x))
2.3b
(-.f64 (pow.f64 y 3) (pow.f64 x 3))
6.0b
(*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3)))
34.5b
(/.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y x))))

rewrite62.0ms (3.9%)

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt_binary64
32×difference-of-squares_binary64
28×*-un-lft-identity_binary64
25×associate-*r*_binary64
24×unpow-prod-down_binary64 cube-prod_binary64
16×sqr-pow_binary64
11×add-exp-log_binary64 add-cbrt-cube_binary64
10×distribute-lft-out--_binary64
add-log-exp_binary64 add-cube-cbrt_binary64
pow1_binary64
associate-*r/_binary64
associate-/r*_binary64 sub-neg_binary64 flip3--_binary64 associate-*l*_binary64 times-frac_binary64 flip--_binary64
difference-cubes_binary64 flip3-+_binary64 associate-/l/_binary64 cbrt-unprod_binary64 cbrt-undiv_binary64 associate-/r/_binary64 prod-exp_binary64 div-exp_binary64 flip-+_binary64
pow-prod-down_binary64 diff-log_binary64 distribute-rgt-out_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 unswap-sqr_binary64 clear-num_binary64 frac-2neg_binary64 associate-/l*_binary64 div-inv_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
4 → 114
Calls

4 calls:

23.0ms
(/.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y x))))
18.0ms
(*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3)))
12.0ms
(-.f64 (pow.f64 y 3) (pow.f64 x 3))
4.0ms
(+.f64 (*.f64 x x) (*.f64 y x))

series98.0ms (6.2%)

Counts
4 → 12
Calls

4 calls:

55.0ms
(/.f64 (*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3))) (+.f64 (*.f64 y y) (+.f64 (*.f64 x x) (*.f64 y x))))
28.0ms
(*.f64 z (-.f64 (pow.f64 y 3) (pow.f64 x 3)))
10.0ms
(-.f64 (pow.f64 y 3) (pow.f64 x 3))
6.0ms
(+.f64 (*.f64 x x) (*.f64 y x))

simplify33.0ms (2.1%)

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 0 (20.0ms)

IterNodesCost
053491569

prune164.0ms (10.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh000
Picked011
Done022
Total1263129

Merged error: 0b

Counts
129 → 3

regimes176.0ms (11.1%)

Accuracy

Total 0.0b remaining (27.2%)

Threshold costs 0.0b (27.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1187

end0.0ms (0%)

sample375.0ms (23.8%)

Algorithm
intervals
Results
190.0ms8000×body80valid
13.0ms577×body80invalid

Profiling

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