Details

Time bar (total: 3.9s)

analyze198.0ms (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
10.0ms256×body128valid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify170.0ms (4.4%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (9.0ms)

IterNodesCost
019812
119812

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 16 to 14 computations (12.5% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite25.0ms (0.7%)

Algorithm
rewrite-expression-head
Rules
22×associate--l+_binary64_16
18×add-sqr-sqrt_binary64_101 log-prod_binary64_165
16×*-un-lft-identity_binary64_79
14×add-cube-cbrt_binary64_114
10×add-log-exp_binary64_118
distribute-lft-in_binary64_28 cancel-sign-sub-inv_binary64_45 distribute-rgt-in_binary64_29
pow1_binary64_140
add-exp-log_binary64_117 add-cbrt-cube_binary64_115
diff-log_binary64_171 associate-*r*_binary64_19
associate-*l*_binary64_20 sub-neg_binary64_72
flip--_binary64_54 flip3--_binary64_83
associate--l-_binary64_17 distribute-lft-out--_binary64_31 unswap-sqr_binary64_47 cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow-prod-down_binary64_150 difference-of-squares_binary64_48 log-pow_binary64_168
Counts
3 → 73
Calls

3 calls:

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

series197.0ms (5.1%)

Counts
3 → 9
Calls

3 calls:

84.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
59.0ms
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
53.0ms
(*.f64 x (log.f64 y))

simplify58.0ms (1.5%)

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05204953

prune82.0ms (2.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New78482
Fresh000
Picked011
Done000
Total78583

Merged error: 0.0b

Counts
83 → 5
Compiler

Compiled 1509 to 565 computations (62.6% saved)

localize141.0ms (3.6%)

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

rewrite24.0ms (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)

series557.0ms (14.4%)

Counts
4 → 12
Calls

4 calls:

159.0ms
(cbrt.f64 y)
140.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
135.0ms
(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 (61.0ms)

IterNodesCost
04863760
14863760

prune90.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New74276
Fresh123
Picked101
Done011
Total76581

Merged error: 0b

Counts
81 → 5
Compiler

Compiled 1765 to 854 computations (51.6% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 x (log.f64 (pow.f64 y 1/3)))
0.3b
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
0.5b
(cbrt.f64 y)
5.0b
(pow.f64 y 1/3)

rewrite30.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
28×log-prod_binary64_165
19×add-sqr-sqrt_binary64_101
17×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
15×unpow-prod-down_binary64_158
14×distribute-lft-in_binary64_28 associate-+r+_binary64_11 distribute-rgt-in_binary64_29
add-exp-log_binary64_117 pow1_binary64_140
add-cbrt-cube_binary64_115 add-log-exp_binary64_118
sqr-pow_binary64_51
associate-*r*_binary64_19
associate-*l*_binary64_20 pow-unpow_binary64_156 cbrt-prod_binary64_110
pow-exp_binary64_147 pow-to-exp_binary64_148 unpow1/3_binary64_146 flip-+_binary64_53 pow-pow_binary64_151 sum-log_binary64_170 +-commutative_binary64_9 unswap-sqr_binary64_47 cbrt-unprod_binary64_112 prod-exp_binary64_128 *-commutative_binary64_10 pow-prod-down_binary64_150 log-pow_binary64_168 pow1/3_binary64_161 flip3-+_binary64_82 distribute-lft-out_binary64_30
Counts
4 → 88
Calls

4 calls:

9.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
7.0ms
(*.f64 x (log.f64 (pow.f64 y 1/3)))
2.0ms
(pow.f64 y 1/3)
1.0ms
(cbrt.f64 y)

series593.0ms (15.3%)

Counts
4 → 12
Calls

4 calls:

188.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (pow.f64 y 1/3))))
148.0ms
(cbrt.f64 y)
147.0ms
(pow.f64 y 1/3)
110.0ms
(*.f64 x (log.f64 (pow.f64 y 1/3)))

simplify97.0ms (2.5%)

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 0 (80.0ms)

IterNodesCost
04953905
14953905

prune115.0ms (3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New991100
Fresh123
Picked011
Done011
Total1005105

Merged error: 0b

Counts
105 → 5
Compiler

Compiled 2300 to 1204 computations (47.7% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (log.f64 (sqrt.f64 (pow.f64 y 1/3))) x)
0.3b
(*.f64 x (*.f64 (log.f64 y) 5/6))
0.3b
(*.f64 (log.f64 y) 5/6)
5.0b
(pow.f64 y 1/3)

rewrite24.0ms (0.6%)

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64_140
15×add-sqr-sqrt_binary64_101
14×add-exp-log_binary64_117
13×associate-*l*_binary64_20 add-cbrt-cube_binary64_115
11×add-cube-cbrt_binary64_114 *-un-lft-identity_binary64_79
associate-*r*_binary64_19
cbrt-unprod_binary64_112 prod-exp_binary64_128 pow-prod-down_binary64_150
add-log-exp_binary64_118 log-pow_binary64_168
pow-unpow_binary64_156 *-commutative_binary64_10 unpow-prod-down_binary64_158
unswap-sqr_binary64_47
pow-exp_binary64_147 pow-to-exp_binary64_148 unpow1/3_binary64_146 sqr-pow_binary64_51 pow-pow_binary64_151 sqrt-pow1_binary64_97 pow1/2_binary64_159
Counts
4 → 76
Calls

4 calls:

6.0ms
(*.f64 x (*.f64 (log.f64 y) 5/6))
5.0ms
(*.f64 (log.f64 (sqrt.f64 (pow.f64 y 1/3))) x)
5.0ms
(*.f64 (log.f64 y) 5/6)
2.0ms
(pow.f64 y 1/3)

series452.0ms (11.7%)

Counts
4 → 12
Calls

4 calls:

156.0ms
(*.f64 (log.f64 (sqrt.f64 (pow.f64 y 1/3))) x)
145.0ms
(pow.f64 y 1/3)
96.0ms
(*.f64 (log.f64 y) 5/6)
55.0ms
(*.f64 x (*.f64 (log.f64 y) 5/6))

simplify82.0ms (2.1%)

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
04896771
14896771

prune95.0ms (2.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New88088
Fresh022
Picked011
Done022
Total88593

Merged error: 0b

Counts
93 → 5
Compiler

Compiled 1921 to 1101 computations (42.7% saved)

regimes54.0ms (1.4%)

Compiler

Compiled 318 to 256 computations (19.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02712
12712

end0.0ms (0%)

sample633.0ms (16.4%)

Algorithm
intervals
Results
335.0ms7998×body128valid
1.0ms24×body128invalid
1.0ms26×body128nan
1.0msbody1024valid
Compiler

Compiled 91 to 74 computations (18.7% saved)

Profiling

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