Details

Time bar (total: 4.0s)

analyze202.0ms (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)

sample19.0ms (0.5%)

Algorithm
intervals
Results
11.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify175.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

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))

rewrite14.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
12×log-prod_binary64_165
11×add-sqr-sqrt_binary64_101
add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
associate--l+_binary64_16 distribute-lft-in_binary64_28 distribute-rgt-in_binary64_29
pow1_binary64_140
add-exp-log_binary64_117 add-cbrt-cube_binary64_115 add-log-exp_binary64_118 associate-*r*_binary64_19
associate-*l*_binary64_20 cancel-sign-sub-inv_binary64_45
flip--_binary64_54 unswap-sqr_binary64_47 cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow-prod-down_binary64_150 diff-log_binary64_171 log-pow_binary64_168 flip3--_binary64_83 sub-neg_binary64_72
Counts
2 → 45
Calls

2 calls:

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

series141.0ms (3.5%)

Counts
2 → 6
Calls

2 calls:

83.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
59.0ms
(*.f64 x (log.f64 y))

simplify87.0ms (2.2%)

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 0 (76.0ms)

IterNodesCost
04800531
14800531

prune75.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New45651
Fresh000
Picked011
Done000
Total45752

Merged error: 0.0b

Counts
52 → 7
Compiler

Compiled 1307 to 607 computations (53.6% saved)

localize15.0ms (0.4%)

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_165 cbrt-prod_binary64_110 associate-+r+_binary64_11
11×add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 *-un-lft-identity_binary64_79
add-exp-log_binary64_117 add-cbrt-cube_binary64_115 pow1_binary64_140
distribute-lft-in_binary64_28 add-log-exp_binary64_118 distribute-rgt-in_binary64_29
associate-*l*_binary64_20 cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150
pow1/3_binary64_161
flip-+_binary64_53 sum-log_binary64_170 +-commutative_binary64_9 *-commutative_binary64_10 flip3-+_binary64_82 distribute-lft-out_binary64_30 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 (14.2%)

Counts
4 → 12
Calls

4 calls:

158.0ms
(cbrt.f64 y)
142.0ms
(cbrt.f64 y)
140.0ms
(+.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))

simplify75.0ms (1.9%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04863760
14863760

prune101.0ms (2.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh325
Picked101
Done011
Total78583

Merged error: 0b

Counts
83 → 5
Compiler

Compiled 1983 to 997 computations (49.7% saved)

localize156.0ms (3.9%)

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)

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
12×add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 log-prod_binary64_165 associate-+r+_binary64_11 *-un-lft-identity_binary64_79
10×add-exp-log_binary64_117 pow1_binary64_140
add-cbrt-cube_binary64_115 cbrt-prod_binary64_110
distribute-lft-in_binary64_28 add-log-exp_binary64_118 distribute-rgt-in_binary64_29
associate-*l*_binary64_20 pow-unpow_binary64_156 cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150 unpow-prod-down_binary64_158
pow-exp_binary64_147 pow-to-exp_binary64_148 unpow1/3_binary64_146 flip-+_binary64_53 sqr-pow_binary64_51 pow-pow_binary64_151 sum-log_binary64_170 +-commutative_binary64_9 *-commutative_binary64_10 pow1/3_binary64_161 flip3-+_binary64_82 distribute-lft-out_binary64_30 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))
2.0ms
(pow.f64 y 1/3)
1.0ms
(cbrt.f64 y)

series622.0ms (15.6%)

Counts
4 → 12
Calls

4 calls:

198.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
158.0ms
(pow.f64 y 1/3)
148.0ms
(cbrt.f64 y)
117.0ms
(*.f64 x (*.f64 (log.f64 (pow.f64 y 1/3)) 2))

simplify71.0ms (1.8%)

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05028688

prune82.0ms (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 1700 to 815 computations (52.1% 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)

rewrite15.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod_binary64_110
11×add-cube-cbrt_binary64_114 add-sqr-sqrt_binary64_101 *-un-lft-identity_binary64_79
unpow-prod-down_binary64_158
add-exp-log_binary64_117 pow1_binary64_140
add-cbrt-cube_binary64_115 add-log-exp_binary64_118
pow-unpow_binary64_156 pow1/3_binary64_161
sqr-pow_binary64_51
pow-exp_binary64_147 pow-to-exp_binary64_148 pow-pow_binary64_151
Counts
4 → 57
Calls

4 calls:

5.0ms
(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)

series638.0ms (16%)

Counts
4 → 12
Calls

4 calls:

201.0ms
(cbrt.f64 (cbrt.f64 y))
152.0ms
(cbrt.f64 y)
147.0ms
(cbrt.f64 (pow.f64 y 2/3))
138.0ms
(pow.f64 y 2/3)

simplify61.0ms (1.5%)

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04784508
14784508

prune84.0ms (2.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New69069
Fresh022
Picked011
Done022
Total69574

Merged error: 0b

Counts
74 → 5
Compiler

Compiled 1803 to 966 computations (46.4% saved)

regimes57.0ms (1.4%)

Compiler

Compiled 354 to 272 computations (23.2% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02712
12712

end0.0ms (0%)

sample644.0ms (16.2%)

Algorithm
intervals
Results
337.0ms7999×body128valid
1.0ms37×body128nan
1.0ms24×body128invalid
1.0msbody2048valid
Compiler

Compiled 100 to 78 computations (22% saved)

Profiling

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