Details

Time bar (total: 3.8s)

analyze193.0ms (5.1%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%74.9%25.1%3
0%74.9%25.1%4
0%62.4%37.6%5
0%56.2%43.8%6
7.8%48.4%43.8%7
12.5%40.6%47%8
18.3%33.2%48.5%9
25.2%26.3%48.5%10
29.7%21%49.3%11
32.6%17.7%49.7%12
36.7%13.6%49.7%13
39.4%10.7%49.9%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample18.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify164.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
019812
119812

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 16 to 14 computations (12.5% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.3b
(*.f64 x (log.f64 y))

rewrite18.0ms (0.5%)

Algorithm
rewrite-expression-head
Rules
13×associate--l+_binary64_16
12×log-prod_binary64_160 add-sqr-sqrt_binary64_98
10×*-un-lft-identity_binary64_77
add-cube-cbrt_binary64_109
add-log-exp_binary64_113
distribute-lft-in_binary64_28 distribute-rgt-in_binary64_29
pow1_binary64_135
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 associate-*r*_binary64_19
associate-*l*_binary64_20 diff-log_binary64_166
sub-neg_binary64_70
associate--l-_binary64_17 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 distribute-lft-out--_binary64_31 flip--_binary64_52 unswap-sqr_binary64_45 difference-of-squares_binary64_46 prod-exp_binary64_123 *-commutative_binary64_10 log-pow_binary64_163 flip3--_binary64_81
Counts
2 → 47
Calls

2 calls:

9.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
5.0ms
(*.f64 x (log.f64 y))

series114.0ms (3%)

Counts
2 → 6
Calls

2 calls:

59.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
55.0ms
(*.f64 x (log.f64 y))

simplify53.0ms (1.4%)

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05065660

prune40.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New48553
Fresh000
Picked011
Done000
Total48654

Merged error: 0.0b

Counts
54 → 6
Compiler

Compiled 759 to 222 computations (70.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×log-prod_binary64_160 cbrt-prod_binary64_105 associate-+r+_binary64_11
11×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 pow1_binary64_135
add-log-exp_binary64_113 distribute-lft-in_binary64_28 distribute-rgt-in_binary64_29
associate-*l*_binary64_20 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 prod-exp_binary64_123
pow1/3_binary64_156
flip-+_binary64_51 flip3-+_binary64_80 +-commutative_binary64_9 *-commutative_binary64_10 distribute-lft-out_binary64_30 sum-log_binary64_165 associate-*r*_binary64_19
Counts
4 → 64
Calls

4 calls:

9.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series564.0ms (15%)

Counts
4 → 12
Calls

4 calls:

150.0ms
(cbrt.f64 y)
146.0ms
(cbrt.f64 y)
140.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
128.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))

simplify71.0ms (1.9%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04881752
14881752

prune72.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh044
Picked101
Done011
Total75782

Merged error: 0b

Counts
82 → 7
Compiler

Compiled 1532 to 673 computations (56.1% saved)

localize23.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
0.7b
(cbrt.f64 y)
5.0b
(pow.f64 y 1/3)

rewrite26.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
12×log-prod_binary64_160 add-cube-cbrt_binary64_109 associate-+r+_binary64_11 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
10×add-exp-log_binary64_112 pow1_binary64_135
add-cbrt-cube_binary64_110 cbrt-prod_binary64_105
add-log-exp_binary64_113 distribute-lft-in_binary64_28 distribute-rgt-in_binary64_29
associate-*l*_binary64_20 pow-prod-down_binary64_145 cbrt-unprod_binary64_107 pow-unpow_binary64_151 prod-exp_binary64_123 unpow-prod-down_binary64_153
pow-to-exp_binary64_143 unpow1/3_binary64_141 flip-+_binary64_51 sqr-pow_binary64_49 flip3-+_binary64_80 pow-exp_binary64_142 +-commutative_binary64_9 *-commutative_binary64_10 pow1/3_binary64_156 pow-pow_binary64_146 distribute-lft-out_binary64_30 sum-log_binary64_165 associate-*r*_binary64_19
Counts
4 → 71
Calls

4 calls:

10.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
6.0ms
(*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2))
3.0ms
(pow.f64 y 1/3)
1.0ms
(cbrt.f64 y)

series589.0ms (15.6%)

Counts
4 → 12
Calls

4 calls:

184.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
157.0ms
(cbrt.f64 y)
133.0ms
(pow.f64 y 1/3)
115.0ms
(*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2))

simplify95.0ms (2.5%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (79.0ms)

IterNodesCost
04937673
14937673

prune75.0ms (2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh055
Picked011
Done011
Total83790

Merged error: 0b

Counts
90 → 7
Compiler

Compiled 1616 to 774 computations (52.1% saved)

localize17.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.6b
(cbrt.f64 x)
0.7b
(cbrt.f64 y)

rewrite9.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64_105
add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 pow1_binary64_135 pow1/3_binary64_156
Counts
4 → 44
Calls

4 calls:

1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 x)
1.0ms
(cbrt.f64 x)

series612.0ms (16.2%)

Counts
4 → 12
Calls

4 calls:

158.0ms
(cbrt.f64 y)
156.0ms
(cbrt.f64 x)
149.0ms
(cbrt.f64 x)
148.0ms
(cbrt.f64 x)

simplify50.0ms (1.3%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05028340

prune57.0ms (1.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh044
Picked011
Done022
Total56763

Merged error: 0b

Counts
63 → 7
Compiler

Compiled 1464 to 556 computations (62% saved)

regimes193.0ms (5.1%)

Compiler

Compiled 446 to 332 computations (25.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02712
12712

end0.0ms (0%)

sample666.0ms (17.7%)

Algorithm
intervals
Results
342.0ms7998×body128valid
1.0ms25×body128invalid
1.0ms24×body128nan
0.0msbody1024valid
0.0msbody256valid
Compiler

Compiled 123 to 93 computations (24.4% saved)

Profiling

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