Details

Time bar (total: 3.9s)

analyze204.0ms (5.2%)

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)

sample19.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify170.0ms (4.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (10.0ms)

IterNodesCost
019812
119812

prune2.0ms (0%)

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)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
12×log-prod_binary64_160
10×add-sqr-sqrt_binary64_98
add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77
associate--l+_binary64_16 distribute-lft-in_binary64_28 distribute-rgt-in_binary64_29
pow1_binary64_135
add-exp-log_binary64_112 add-cbrt-cube_binary64_110 add-log-exp_binary64_113 associate-*r*_binary64_19
associate-*l*_binary64_20
pow-prod-down_binary64_145 cbrt-unprod_binary64_107 sub-neg_binary64_70 flip--_binary64_52 unswap-sqr_binary64_45 prod-exp_binary64_123 *-commutative_binary64_10 log-pow_binary64_163 flip3--_binary64_81 diff-log_binary64_166
Counts
2 → 42
Calls

2 calls:

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

series132.0ms (3.4%)

Counts
2 → 6
Calls

2 calls:

82.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
50.0ms
(*.f64 x (log.f64 y))

simplify90.0ms (2.3%)

Algorithm
egg-herbie
Counts
48 → 48
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
05130522

prune40.0ms (1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New42648
Fresh000
Picked011
Done000
Total42749

Merged error: 0.0b

Counts
49 → 7
Compiler

Compiled 723 to 245 computations (66.1% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b
(*.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))))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite23.0ms (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)

series542.0ms (13.9%)

Counts
4 → 12
Calls

4 calls:

142.0ms
(cbrt.f64 y)
140.0ms
(cbrt.f64 y)
135.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
124.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))

simplify70.0ms (1.8%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
04881752
14881752

prune73.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh325
Picked101
Done011
Total78583

Merged error: 0b

Counts
83 → 5
Compiler

Compiled 1509 to 658 computations (56.4% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b
(*.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))))
0.6b
(cbrt.f64 y)
5.2b
(pow.f64 y 1/3)

rewrite25.0ms (0.6%)

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:

9.0ms
(+.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)

series610.0ms (15.6%)

Counts
4 → 12
Calls

4 calls:

191.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
159.0ms
(cbrt.f64 y)
146.0ms
(pow.f64 y 1/3)
113.0ms
(*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2))

simplify90.0ms (2.3%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04937673
14937673

prune78.0ms (2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New83083
Fresh033
Picked011
Done011
Total83588

Merged error: 0b

Counts
88 → 5
Compiler

Compiled 1593 to 759 computations (52.4% saved)

localize26.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (pow.f64 y 2/3))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 (cbrt.f64 y))
6.2b
(pow.f64 y 2/3)

rewrite13.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod_binary64_105
11×add-cube-cbrt_binary64_109 *-un-lft-identity_binary64_77 add-sqr-sqrt_binary64_98
unpow-prod-down_binary64_153
add-exp-log_binary64_112 pow1_binary64_135
add-cbrt-cube_binary64_110 add-log-exp_binary64_113
pow-unpow_binary64_151 pow1/3_binary64_156
sqr-pow_binary64_49
pow-to-exp_binary64_143 pow-exp_binary64_142 pow-pow_binary64_146
Counts
4 → 57
Calls

4 calls:

2.0ms
(pow.f64 y 2/3)
2.0ms
(cbrt.f64 (pow.f64 y 2/3))
2.0ms
(cbrt.f64 (cbrt.f64 y))
1.0ms
(cbrt.f64 y)

series648.0ms (16.6%)

Counts
4 → 12
Calls

4 calls:

208.0ms
(cbrt.f64 (cbrt.f64 y))
156.0ms
(cbrt.f64 (pow.f64 y 2/3))
146.0ms
(cbrt.f64 y)
138.0ms
(pow.f64 y 2/3)

simplify78.0ms (2%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05042475

prune84.0ms (2.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done022
Total69574

Merged error: 0b

Counts
74 → 5
Compiler

Compiled 1788 to 973 computations (45.6% saved)

regimes187.0ms (4.8%)

Compiler

Compiled 354 to 272 computations (23.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02712
12712

end0.0ms (0%)

sample647.0ms (16.6%)

Algorithm
intervals
Results
342.0ms7999×body128valid
1.0ms37×body128nan
1.0ms24×body128invalid
1.0msbody2048valid
Compiler

Compiled 100 to 78 computations (22% saved)

Profiling

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