Details

Time bar (total: 2.7s)

analyze398.0ms (14.6%)

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
9.4%90.5%0.1%7
14%85.8%0.1%8
21.1%78%0.9%9
37.3%60.3%2.5%10
39.7%56.1%4.2%11
45.6%48.7%5.7%12
55.9%35.1%8.9%13
57.6%32.1%10.3%14
Compiler

Compiled 10 to 8 computations (20% saved)

sample17.0ms (0.6%)

Algorithm
intervals
Results
8.0ms256×body128valid
1.0ms40×body128invalid
Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify444.0ms (16.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (346.0ms)

IterNodesCost
0565913

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
9.6b
Counts
2 → 1
Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 x (*.f64 y (-.f64 z x)))
0.0b
(*.f64 y (-.f64 z x))
9.0b
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)

rewrite21.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt_binary64_20560
19×*-un-lft-identity_binary64_20538
17×add-cube-cbrt_binary64_20573
12×cancel-sign-sub-inv_binary64_20504
times-frac_binary64_20544
distribute-rgt-in_binary64_20488 distribute-lft-in_binary64_20487 associate-+r+_binary64_20470
add-cbrt-cube_binary64_20574 add-exp-log_binary64_20576
pow1_binary64_20599 associate-*r*_binary64_20478 add-log-exp_binary64_20577
sub-neg_binary64_20531
associate-/l*_binary64_20483 associate-/r*_binary64_20482 associate-*l*_binary64_20479
associate-*r/_binary64_20480 associate-/l/_binary64_20485 flip3-+_binary64_20541 flip-+_binary64_20512
distribute-lft-out--_binary64_20490 clear-num_binary64_20537 cbrt-unprod_binary64_20571 pow-prod-down_binary64_20609 flip3--_binary64_20542 sum-log_binary64_20629 frac-2neg_binary64_20549 +-commutative_binary64_20468 flip--_binary64_20513 *-commutative_binary64_20469 prod-exp_binary64_20587 unswap-sqr_binary64_20506 div-inv_binary64_20535 div-exp_binary64_20589 difference-of-squares_binary64_20507 cbrt-undiv_binary64_20572
Counts
3 → 78
Calls

3 calls:

7.0ms
(*.f64 y (-.f64 z x))
5.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
4.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

series102.0ms (3.8%)

Counts
3 → 9
Calls

3 calls:

45.0ms
(/.f64 (+.f64 x (*.f64 y (-.f64 z x))) z)
29.0ms
(*.f64 y (-.f64 z x))
28.0ms
(+.f64 x (*.f64 y (-.f64 z x)))

simplify75.0ms (2.8%)

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050301239

prune67.0ms (2.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New82587
Fresh000
Picked101
Done000
Total83588
Error
2.8b
Counts
88 → 5
Compiler

Compiled 1387 to 315 computations (77.3% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x y) x)
2.7b
(/.f64 (-.f64 (*.f64 x y) x) z)

rewrite13.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity_binary64_20538 add-cube-cbrt_binary64_20573 add-sqr-sqrt_binary64_20560
times-frac_binary64_20544
add-cbrt-cube_binary64_20574 add-log-exp_binary64_20577 add-exp-log_binary64_20576
cancel-sign-sub-inv_binary64_20504 associate-/l*_binary64_20483 associate-/r*_binary64_20482
associate-/l/_binary64_20485 pow1_binary64_20599 flip3--_binary64_20542 flip--_binary64_20513
clear-num_binary64_20537 sub-neg_binary64_20531 div-sub_binary64_20543 frac-2neg_binary64_20549 diff-log_binary64_20630 div-inv_binary64_20535 div-exp_binary64_20589 cbrt-undiv_binary64_20572
Counts
2 → 44
Calls

2 calls:

6.0ms
(/.f64 (-.f64 (*.f64 x y) x) z)
4.0ms
(-.f64 (*.f64 x y) x)

series60.0ms (2.2%)

Counts
2 → 6
Calls

2 calls:

37.0ms
(/.f64 (-.f64 (*.f64 x y) x) z)
23.0ms
(-.f64 (*.f64 x y) x)

simplify65.0ms (2.4%)

Algorithm
egg-herbie
Counts
50 → 50
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
04944703
14944703

prune33.0ms (1.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New49150
Fresh134
Picked101
Done000
Total51455
Error
2.8b
Counts
55 → 4
Compiler

Compiled 789 to 210 computations (73.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (/.f64 (*.f64 x y) z) (/.f64 x z))
4.7b
(/.f64 (*.f64 x y) z)

rewrite20.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt_binary64_20560
13×cancel-sign-sub-inv_binary64_20504 *-un-lft-identity_binary64_20538 times-frac_binary64_20544
11×add-cube-cbrt_binary64_20573
add-cbrt-cube_binary64_20574 add-exp-log_binary64_20576
add-log-exp_binary64_20577 div-inv_binary64_20535
associate-/r*_binary64_20482
pow1_binary64_20599 div-exp_binary64_20589 difference-of-squares_binary64_20507 cbrt-undiv_binary64_20572
distribute-lft-out--_binary64_20490 clear-num_binary64_20537 cbrt-unprod_binary64_20571 sub-neg_binary64_20531 associate-/l*_binary64_20483 flip3--_binary64_20542 sub-div_binary64_20545 frac-2neg_binary64_20549 flip--_binary64_20513 distribute-rgt-out--_binary64_20492 diff-log_binary64_20630 frac-sub_binary64_20547 prod-exp_binary64_20587
Counts
2 → 51
Calls

2 calls:

12.0ms
(-.f64 (/.f64 (*.f64 x y) z) (/.f64 x z))
4.0ms
(/.f64 (*.f64 x y) z)

series53.0ms (2%)

Counts
2 → 6
Calls

2 calls:

31.0ms
(-.f64 (/.f64 (*.f64 x y) z) (/.f64 x z))
22.0ms
(/.f64 (*.f64 x y) z)

simplify68.0ms (2.5%)

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04956639
14956639

prune44.0ms (1.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New55257
Fresh213
Picked101
Done000
Total58361
Error
0b
Counts
61 → 3
Compiler

Compiled 840 to 232 computations (72.4% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

2.0b
(*.f64 (/.f64 x z) (+.f64 y -1))

rewrite12.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64_20560
13×associate-*l*_binary64_20479
11×*-un-lft-identity_binary64_20538
10×times-frac_binary64_20544
add-cube-cbrt_binary64_20573
add-cbrt-cube_binary64_20574 add-exp-log_binary64_20576
associate-*r*_binary64_20478
pow1_binary64_20599
cbrt-unprod_binary64_20571 associate-*r/_binary64_20480 flip3-+_binary64_20541 prod-exp_binary64_20587 unswap-sqr_binary64_20506 flip-+_binary64_20512 frac-times_binary64_20548
distribute-rgt-in_binary64_20488 associate-*l/_binary64_20481 distribute-lft-in_binary64_20487 pow-prod-down_binary64_20609 difference-of-sqr--1_binary64_20509 *-commutative_binary64_20469 add-log-exp_binary64_20577 div-inv_binary64_20535 div-exp_binary64_20589 distribute-lft-out_binary64_20489 cbrt-undiv_binary64_20572
Counts
1 → 40
Calls

1 calls:

9.0ms
(*.f64 (/.f64 x z) (+.f64 y -1))

series42.0ms (1.5%)

Counts
1 → 3
Calls

1 calls:

42.0ms
(*.f64 (/.f64 x z) (+.f64 y -1))

simplify46.0ms (1.7%)

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
04974555
14974555

prune32.0ms (1.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New43043
Fresh022
Picked011
Done000
Total43346
Error
0b
Counts
46 → 3
Compiler

Compiled 627 to 313 computations (50.1% saved)

regimes196.0ms (7.2%)

Accuracy

Total 0.0b remaining (93.5%)

Threshold costs 0.0b (93.5%)

Compiler

Compiled 2100 to 1210 computations (42.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05813
15813

end0.0ms (0%)

sample882.0ms (32.4%)

Algorithm
intervals
Results
249.0ms8000×body128valid
33.0ms1064×body128invalid
Compiler

Compiled 526 to 309 computations (41.3% saved)

Profiling

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