Details

Time bar (total: 6.9s)

analyze330.0ms (4.8%)

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%74.9%25.1%4
0%74.9%25.1%5
0%62.4%37.6%6
12.5%43.7%43.8%7
12.5%43.7%43.8%8
25%28.1%47%9
28.1%20.3%51.6%10
28.1%20.3%51.6%11
34.3%13.3%52.4%12
35.9%9.8%54.4%13
35.9%9.8%54.4%14
Compiler

Compiled 13 to 12 computations (7.7% saved)

sample45.0ms (0.6%)

Algorithm
intervals
Results
23.0ms256×body128valid
1.0ms10×body128invalid
0.0msbody128nan
Compiler

Compiled 25 to 26 computations (-4% saved)

simplify799.0ms (11.6%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (640.0ms)

IterNodesCost
0488918
1488918

prune5.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1
Compiler

Compiled 24 to 22 computations (8.3% saved)

localize18.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (-.f64 1 z) (log.f64 z))
0.0b
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))
0.2b
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))

rewrite67.0ms (1%)

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity_binary64_10649
pow1_binary64_10710 add-sqr-sqrt_binary64_10671
add-log-exp_binary64_10688 distribute-lft-out_binary64_10600
add-cube-cbrt_binary64_10684 associate-*r*_binary64_10589
add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687 associate-+r+_binary64_10581
log-pow_binary64_10738 associate-+l+_binary64_10582 distribute-lft-out--_binary64_10601
sum-log_binary64_10740 cancel-sign-sub-inv_binary64_10615 flip-+_binary64_10623 flip3-+_binary64_10652 associate-*l*_binary64_10590 log-prod_binary64_10735
+-commutative_binary64_10579 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 associate-*r/_binary64_10591
prod-exp_binary64_10698 cbrt-unprod_binary64_10682 associate-+l-_binary64_10584 pow-prod-down_binary64_10720 sub-neg_binary64_10642 unswap-sqr_binary64_10617 *-commutative_binary64_10580 diff-log_binary64_10741
Counts
3 → 63
Calls

3 calls:

23.0ms
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
22.0ms
(+.f64 (-.f64 1 z) (log.f64 z))
14.0ms
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series294.0ms (4.3%)

Counts
3 → 9
Calls

3 calls:

111.0ms
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
93.0ms
(+.f64 (-.f64 1 z) (log.f64 z))
89.0ms
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify127.0ms (1.8%)

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 0 (97.0ms)

IterNodesCost
052741057

prune137.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New67572
Fresh000
Picked011
Done000
Total67673

Merged error: 0b

Counts
73 → 6
Compiler

Compiled 1338 to 834 computations (37.7% saved)

localize21.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
0.1b
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z)))
0.3b
(*.f64 y (log.f64 z))

rewrite60.0ms (0.9%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64_10671
12×log-prod_binary64_10735
11×*-un-lft-identity_binary64_10649 add-cube-cbrt_binary64_10684
10×add-log-exp_binary64_10688 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598
associate-+l+_binary64_10582
associate-+r+_binary64_10581
pow1_binary64_10710 cancel-sign-sub-inv_binary64_10615
add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687
sum-log_binary64_10740 associate-*r*_binary64_10589
associate-*l*_binary64_10590
sub-neg_binary64_10642 +-commutative_binary64_10579 flip-+_binary64_10623 flip3-+_binary64_10652
prod-exp_binary64_10698 cbrt-unprod_binary64_10682 log-pow_binary64_10738 pow-prod-down_binary64_10720 unswap-sqr_binary64_10617 *-commutative_binary64_10580 distribute-lft-out_binary64_10600
Counts
3 → 64
Calls

3 calls:

18.0ms
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
18.0ms
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z)))
9.0ms
(*.f64 y (log.f64 z))

series261.0ms (3.8%)

Counts
3 → 9
Calls

3 calls:

112.0ms
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z)))
93.0ms
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
55.0ms
(*.f64 y (log.f64 z))

simplify109.0ms (1.6%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (78.0ms)

IterNodesCost
051271072

prune137.0ms (2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New72173
Fresh134
Picked011
Done011
Total73679

Merged error: 0b

Counts
79 → 6
Compiler

Compiled 1421 to 798 computations (43.8% saved)

localize30.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(+.f64 (*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z))) (*.f64 (log.f64 (cbrt.f64 z)) y))
0.3b
(*.f64 (log.f64 (cbrt.f64 z)) y)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite44.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt_binary64_10671
*-un-lft-identity_binary64_10649 add-cube-cbrt_binary64_10684
pow1_binary64_10710
cbrt-prod_binary64_10680 add-log-exp_binary64_10688 add-cbrt-cube_binary64_10685 add-exp-log_binary64_10687
associate-*l*_binary64_10590
pow1/3_binary64_10731 associate-*r*_binary64_10589
log-pow_binary64_10738 associate-+l+_binary64_10582
prod-exp_binary64_10698 cbrt-unprod_binary64_10682 sum-log_binary64_10740 pow-prod-down_binary64_10720 unswap-sqr_binary64_10617 +-commutative_binary64_10579 *-commutative_binary64_10580 distribute-rgt-in_binary64_10599 distribute-lft-in_binary64_10598 flip-+_binary64_10623 flip3-+_binary64_10652
Counts
4 → 55
Calls

4 calls:

21.0ms
(+.f64 (*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z))) (*.f64 (log.f64 (cbrt.f64 z)) y))
9.0ms
(*.f64 (log.f64 (cbrt.f64 z)) y)
2.0ms
(cbrt.f64 z)
2.0ms
(cbrt.f64 z)

series740.0ms (10.7%)

Counts
4 → 12
Calls

4 calls:

250.0ms
(+.f64 (*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z))) (*.f64 (log.f64 (cbrt.f64 z)) y))
167.0ms
(cbrt.f64 z)
167.0ms
(*.f64 (log.f64 (cbrt.f64 z)) y)
155.0ms
(cbrt.f64 z)

simplify123.0ms (1.8%)

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (94.0ms)

IterNodesCost
04967725
14967725

prune138.0ms (2%)

Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done022
Total67673

Merged error: 0b

Counts
73 → 6
Compiler

Compiled 1672 to 888 computations (46.9% saved)

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite31.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod_binary64_10680
23×add-sqr-sqrt_binary64_10671
15×*-un-lft-identity_binary64_10649 add-cube-cbrt_binary64_10684
11×pow1_binary64_10710
pow1/3_binary64_10731
add-exp-log_binary64_10687 associate-*r*_binary64_10589 associate-*l*_binary64_10590 swap-sqr_binary64_10616
add-log-exp_binary64_10688 unswap-sqr_binary64_10617 add-cbrt-cube_binary64_10685
pow-sqr_binary64_10622 pow-prod-up_binary64_10719 pow-prod-down_binary64_10720
prod-exp_binary64_10698 cbrt-unprod_binary64_10682 pow-plus_binary64_10712 *-commutative_binary64_10580 pow2_binary64_10730
Counts
4 → 73
Calls

4 calls:

13.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)
2.0ms
(cbrt.f64 y)

series654.0ms (9.5%)

Counts
4 → 12
Calls

4 calls:

184.0ms
(*.f64 (cbrt.f64 y) (cbrt.f64 y))
165.0ms
(cbrt.f64 y)
160.0ms
(cbrt.f64 y)
145.0ms
(cbrt.f64 y)

simplify112.0ms (1.6%)

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (88.0ms)

IterNodesCost
04892563
14892563

prune155.0ms (2.2%)

Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New85085
Fresh022
Picked011
Done033
Total85691

Merged error: 0b

Counts
91 → 6
Compiler

Compiled 1839 to 913 computations (50.4% saved)

regimes558.0ms (8.1%)

Compiler

Compiled 2908 to 2352 computations (19.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03130
13130

end0.0ms (0%)

sample1.9s (27.2%)

Algorithm
intervals
Results
722.0ms8000×body128valid
28.0ms310×body128invalid
5.0ms72×body128nan
Compiler

Compiled 406 to 326 computations (19.7% saved)

Profiling

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