Details

Time bar (total: 1.4s)

analyze42.0ms (3%)

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
25%74.9%0.1%5
50%50%0.1%6
59.3%37.5%3.2%7
70.2%23.4%6.3%8
74.1%17.2%8.7%9
79.2%11.3%9.5%10
81%8.2%10.8%11
83.4%5.6%11%12
84.2%4%11.8%13
85.4%2.8%11.8%14
Compiler

Compiled 6 to 5 computations (16.7% saved)

sample16.0ms (1.1%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 11 to 11 computations (0% saved)

simplify97.0ms (6.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (6.0ms)

IterNodesCost
01287
11287

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 10 to 8 computations (20% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
add-log-exp_binary64_7619 cancel-sign-sub-inv_binary64_7546
add-sqr-sqrt_binary64_7602 *-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
add-cbrt-cube_binary64_7616 pow1_binary64_7641 diff-log_binary64_7672 flip--_binary64_7555 sub-neg_binary64_7573 flip3--_binary64_7584 add-exp-log_binary64_7618
Counts
1 → 14
Calls

1 calls:

5.0ms
(-.f64 (*.f64 x y) x)

series24.0ms (1.7%)

Counts
1 → 3
Calls

1 calls:

24.0ms
(-.f64 (*.f64 x y) x)

simplify59.0ms (4.2%)

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04944166
14944166

prune14.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New16117
Fresh000
Picked011
Done000
Total16218
Error
0.0b
Counts
18 → 2
Compiler

Compiled 166 to 55 computations (66.9% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 x (*.f64 x y))
2.9b
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
10.7b
(*.f64 x (*.f64 y y))
26.5b
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (+.f64 x (*.f64 x y)))

rewrite35.0ms (2.5%)

Algorithm
rewrite-expression-head
Rules
16×add-cbrt-cube_binary64_7616 add-exp-log_binary64_7618
14×add-sqr-sqrt_binary64_7602
11×*-un-lft-identity_binary64_7580 pow1_binary64_7641 add-cube-cbrt_binary64_7615
add-log-exp_binary64_7619 cancel-sign-sub-inv_binary64_7546 associate-*l*_binary64_7521
cbrt-unprod_binary64_7613 prod-exp_binary64_7629
associate-*r*_binary64_7520 distribute-lft-in_binary64_7529 pow-prod-down_binary64_7651 distribute-rgt-in_binary64_7530 associate-*r/_binary64_7522
times-frac_binary64_7586 associate-/r*_binary64_7524
unswap-sqr_binary64_7548 associate-/l/_binary64_7527 flip-+_binary64_7554 associate-/r/_binary64_7526 flip--_binary64_7555 sub-neg_binary64_7573 cbrt-undiv_binary64_7614 div-exp_binary64_7631 *-commutative_binary64_7511 flip3--_binary64_7584 flip3-+_binary64_7583
frac-2neg_binary64_7591 div-inv_binary64_7577 clear-num_binary64_7579 associate-/l*_binary64_7525 +-commutative_binary64_7510 sum-log_binary64_7671
Counts
4 → 83
Calls

4 calls:

12.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (+.f64 x (*.f64 x y)))
9.0ms
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
5.0ms
(*.f64 x (*.f64 y y))
3.0ms
(+.f64 x (*.f64 x y))

series204.0ms (14.5%)

Counts
4 → 12
Calls

4 calls:

95.0ms
(/.f64 (*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x)) (+.f64 x (*.f64 x y)))
57.0ms
(*.f64 x (-.f64 (*.f64 x (*.f64 y y)) x))
27.0ms
(*.f64 x (*.f64 y y))
24.0ms
(+.f64 x (*.f64 x y))

simplify83.0ms (5.9%)

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
049841478
149841478

prune61.0ms (4.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New94195
Fresh000
Picked011
Done011
Total94397
Error
0b
Counts
97 → 3
Compiler

Compiled 1889 to 311 computations (83.5% saved)

localize9.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 (*.f64 x (*.f64 y y)) x)
0.0b
(+.f64 x (*.f64 x y))
8.8b
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (+.f64 x (*.f64 x y)))
10.7b
(*.f64 x (*.f64 y y))

rewrite33.0ms (2.4%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_7602
14×*-un-lft-identity_binary64_7580 add-cube-cbrt_binary64_7615
11×add-cbrt-cube_binary64_7616 add-exp-log_binary64_7618
times-frac_binary64_7586 pow1_binary64_7641
add-log-exp_binary64_7619
pow-prod-down_binary64_7651 associate-/r*_binary64_7524 associate-/l*_binary64_7525 cbrt-unprod_binary64_7613 prod-exp_binary64_7629 cancel-sign-sub-inv_binary64_7546 associate-*l*_binary64_7521
associate-/l/_binary64_7527 flip-+_binary64_7554 associate-/r/_binary64_7526 flip--_binary64_7555 flip3--_binary64_7584 flip3-+_binary64_7583
associate-*r*_binary64_7520 unswap-sqr_binary64_7548 frac-2neg_binary64_7591 div-inv_binary64_7577 clear-num_binary64_7579 diff-log_binary64_7672 +-commutative_binary64_7510 sub-neg_binary64_7573 cbrt-undiv_binary64_7614 div-exp_binary64_7631 sum-log_binary64_7671 *-commutative_binary64_7511 div-sub_binary64_7585
Counts
4 → 76
Calls

4 calls:

10.0ms
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (+.f64 x (*.f64 x y)))
9.0ms
(-.f64 (*.f64 x (*.f64 y y)) x)
6.0ms
(*.f64 x (*.f64 y y))
3.0ms
(+.f64 x (*.f64 x y))

series165.0ms (11.7%)

Counts
4 → 12
Calls

4 calls:

73.0ms
(/.f64 (-.f64 (*.f64 x (*.f64 y y)) x) (+.f64 x (*.f64 x y)))
44.0ms
(-.f64 (*.f64 x (*.f64 y y)) x)
24.0ms
(+.f64 x (*.f64 x y))
23.0ms
(*.f64 x (*.f64 y y))

simplify85.0ms (6.1%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
049661472
149661472

prune63.0ms (4.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh000
Picked011
Done022
Total88391
Error
0b
Counts
91 → 3
Compiler

Compiled 1837 to 349 computations (81% saved)

regimes33.0ms (2.4%)

Accuracy

Total 0.0b remaining (96.7%)

Threshold costs 0.0b (96.7%)

Compiler

Compiled 134 to 97 computations (27.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
087
187

end0.0ms (0%)

sample361.0ms (25.7%)

Algorithm
intervals
Results
153.0ms8000×body128valid
1.0ms64×body128invalid
Compiler

Compiled 51 to 39 computations (23.5% saved)

Profiling

Loading profile data...