Details

Time bar (total: 4.0s)

analyze174.0ms (4.4%)

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)

sample21.0ms (0.5%)

Algorithm
intervals
Results
13.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 25 to 26 computations (-4% saved)

simplify44.0ms (1.1%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
068218
168218

prune3.0ms (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)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

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)))

rewrite23.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×*-un-lft-identity_binary64
associate-*r*_binary64
pow1_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 distribute-lft-out_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
associate-*l*_binary64
flip3-+_binary64 associate-*r/_binary64 log-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 distribute-lft-out--_binary64 flip-+_binary64 associate-+r+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 +-commutative_binary64 sum-log_binary64 *-commutative_binary64
Counts
2 → 39
Calls

2 calls:

13.0ms
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
7.0ms
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

series205.0ms (5.1%)

Counts
2 → 6
Calls

2 calls:

113.0ms
(*.f64 y (+.f64 (-.f64 1 z) (log.f64 z)))
92.0ms
(+.f64 (*.f64 x 1/2) (*.f64 y (+.f64 (-.f64 1 z) (log.f64 z))))

simplify66.0ms (1.7%)

Algorithm
egg-herbie
Counts
45 → 45
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05013754

prune119.0ms (3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New38745
Fresh000
Picked101
Done000
Total39746

Merged error: 0.0b

Counts
46 → 7
Compiler

Compiled 2067 to 1483 computations (28.3% saved)

localize11.0ms (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)))
0.2b
(*.f64 y (log.f64 z))

rewrite31.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt_binary64
12×log-prod_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
10×add-log-exp_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64
associate-+l+_binary64
associate-+r+_binary64
pow1_binary64 cancel-sign-sub-inv_binary64
add-exp-log_binary64 add-cbrt-cube_binary64
associate-*r*_binary64 sum-log_binary64
associate-*l*_binary64
flip3-+_binary64 sub-neg_binary64 +-commutative_binary64 flip-+_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 distribute-lft-out_binary64 log-pow_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
Counts
3 → 64
Calls

3 calls:

10.0ms
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
10.0ms
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z)))
5.0ms
(*.f64 y (log.f64 z))

series267.0ms (6.7%)

Counts
3 → 9
Calls

3 calls:

127.0ms
(+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z)))
86.0ms
(+.f64 (*.f64 x 1/2) (+.f64 (*.f64 y (-.f64 1 z)) (*.f64 y (log.f64 z))))
54.0ms
(*.f64 y (log.f64 z))

simplify77.0ms (1.9%)

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049491072
149491072

prune132.0ms (3.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New70373
Fresh336
Picked011
Done000
Total73780

Merged error: 0b

Counts
80 → 7
Compiler

Compiled 2433 to 1585 computations (34.9% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
0.2b
(*.f64 (log.f64 (cbrt.f64 z)) y)
0.6b
(cbrt.f64 z)
0.6b
(cbrt.f64 z)

rewrite25.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt_binary64
10×*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow1_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
associate-*r*_binary64 cbrt-prod_binary64
add-log-exp_binary64
pow1/3_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r/_binary64 log-pow_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
flip3-+_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64
Counts
4 → 64
Calls

4 calls:

11.0ms
(*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
5.0ms
(*.f64 (log.f64 (cbrt.f64 z)) y)
1.0ms
(cbrt.f64 z)
1.0ms
(cbrt.f64 z)

series758.0ms (19%)

Counts
4 → 12
Calls

4 calls:

259.0ms
(*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
173.0ms
(cbrt.f64 z)
163.0ms
(*.f64 (log.f64 (cbrt.f64 z)) y)
163.0ms
(cbrt.f64 z)

simplify60.0ms (1.5%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
05015855

prune116.0ms (2.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New75176
Fresh145
Picked101
Done011
Total77683

Merged error: 0b

Counts
83 → 6
Compiler

Compiled 2363 to 1360 computations (42.4% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
0.2b
(*.f64 (log.f64 (pow.f64 z 1/3)) y)
0.6b
(cbrt.f64 z)
5.0b
(pow.f64 z 1/3)

rewrite26.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt_binary64
11×*-un-lft-identity_binary64 add-cube-cbrt_binary64
pow1_binary64 add-exp-log_binary64
add-cbrt-cube_binary64
associate-*l*_binary64
associate-*r*_binary64
add-log-exp_binary64
pow-unpow_binary64 unpow-prod-down_binary64 cbrt-prod_binary64
pow-prod-down_binary64 cbrt-unprod_binary64 associate-*r/_binary64 unswap-sqr_binary64 prod-exp_binary64 *-commutative_binary64
pow-to-exp_binary64 flip3-+_binary64 pow1/3_binary64 pow-pow_binary64 log-pow_binary64 sqr-pow_binary64 distribute-lft-in_binary64 distribute-rgt-in_binary64 flip-+_binary64 pow-exp_binary64 unpow1/3_binary64
Counts
4 → 70
Calls

4 calls:

11.0ms
(*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
5.0ms
(*.f64 (log.f64 (pow.f64 z 1/3)) y)
2.0ms
(pow.f64 z 1/3)
1.0ms
(cbrt.f64 z)

series719.0ms (18%)

Counts
4 → 12
Calls

4 calls:

249.0ms
(*.f64 y (+.f64 (*.f64 2 (log.f64 (cbrt.f64 z))) (-.f64 1 z)))
167.0ms
(cbrt.f64 z)
153.0ms
(*.f64 (log.f64 (pow.f64 z 1/3)) y)
149.0ms
(pow.f64 z 1/3)

simplify46.0ms (1.1%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
04928862
14928862

prune110.0ms (2.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New82082
Fresh044
Picked011
Done011
Total82688

Merged error: 0b

Counts
88 → 6
Compiler

Compiled 2254 to 1404 computations (37.7% saved)

regimes107.0ms (2.7%)

Compiler

Compiled 814 to 676 computations (17% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02821
12821

end0.0ms (0%)

sample798.0ms (20%)

Algorithm
intervals
Results
399.0ms8000×body128valid
15.0ms301×body128invalid
3.0ms84×body128nan
Compiler

Compiled 168 to 140 computations (16.7% saved)

Profiling

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