Details

Time bar (total: 2.5s)

analyze189.0ms (7.6%)

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 (0.7%)

Algorithm
intervals
Results
10.0ms256×body128valid
0.0msbody128nan
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify419.0ms (16.9%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (324.0ms)

IterNodesCost
0578612

prune2.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
0.0b
Counts
2 → 1
Compiler

Compiled 16 to 14 computations (12.5% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.2b
(*.f64 x (log.f64 y))

rewrite6.0ms (0.3%)

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt_binary64_100
log-prod_binary64_164
add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
associate-*r*_binary64_18 pow1_binary64_139
add-cbrt-cube_binary64_114 distribute-lft-in_binary64_27 associate-*l*_binary64_19 distribute-rgt-in_binary64_28 add-exp-log_binary64_116
*-commutative_binary64_9 add-log-exp_binary64_117 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149 unswap-sqr_binary64_46 log-pow_binary64_167
Counts
1 → 25
Calls

1 calls:

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

series29.0ms (1.2%)

Counts
1 → 3
Calls

1 calls:

29.0ms
(*.f64 x (log.f64 y))

simplify63.0ms (2.5%)

Algorithm
egg-herbie
Counts
28 → 28
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04828265
14828265

prune26.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New27128
Fresh000
Picked011
Done000
Total27229
Error
0.0b
Counts
29 → 2
Compiler

Compiled 355 to 124 computations (65.1% saved)

localize11.0ms (0.5%)

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

rewrite21.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
12×associate-+r+_binary64_10 log-prod_binary64_164 cbrt-prod_binary64_109
11×add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 add-exp-log_binary64_116 pow1_binary64_139
distribute-lft-in_binary64_27 add-log-exp_binary64_117 distribute-rgt-in_binary64_28
associate-*l*_binary64_19 cbrt-unprod_binary64_111 prod-exp_binary64_127 pow-prod-down_binary64_149
pow1/3_binary64_160
+-commutative_binary64_8 *-commutative_binary64_9 flip-+_binary64_52 associate-*r*_binary64_18 distribute-lft-out_binary64_29 sum-log_binary64_169 flip3-+_binary64_81
Counts
4 → 64
Calls

4 calls:

8.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
5.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series312.0ms (12.6%)

Counts
4 → 12
Calls

4 calls:

85.0ms
(cbrt.f64 y)
77.0ms
(cbrt.f64 y)
76.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
73.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))

simplify88.0ms (3.6%)

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04881730
14881730

prune65.0ms (2.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New75176
Fresh000
Picked011
Done011
Total75378
Error
0b
Counts
78 → 3
Compiler

Compiled 1447 to 628 computations (56.6% saved)

localize16.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.5b
(cbrt.f64 (cbrt.f64 y))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite9.0ms (0.4%)

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod_binary64_109
add-sqr-sqrt_binary64_100 add-cube-cbrt_binary64_113 *-un-lft-identity_binary64_78
add-cbrt-cube_binary64_114 add-log-exp_binary64_117 pow1/3_binary64_160 add-exp-log_binary64_116 pow1_binary64_139
Counts
4 → 47
Calls

4 calls:

2.0ms
(cbrt.f64 (cbrt.f64 y))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)

series354.0ms (14.2%)

Counts
4 → 12
Calls

4 calls:

104.0ms
(cbrt.f64 (cbrt.f64 y))
84.0ms
(cbrt.f64 y)
83.0ms
(cbrt.f64 y)
82.0ms
(cbrt.f64 y)

simplify31.0ms (1.2%)

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 0 (19.0ms)

IterNodesCost
04984391
14984391

prune61.0ms (2.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New59059
Fresh000
Picked011
Done022
Total59362
Error
0b
Counts
62 → 3
Compiler

Compiled 1546 to 612 computations (60.4% saved)

regimes75.0ms (3%)

Accuracy

Total 0.1b remaining (93.3%)

Threshold costs 0.1b (93.3%)

Compiler

Compiled 598 to 440 computations (26.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02712
12712

end0.0ms (0%)

sample680.0ms (27.4%)

Algorithm
intervals
Results
322.0ms8000×body128valid
1.0ms26×body128invalid
1.0ms31×body128nan
Compiler

Compiled 161 to 120 computations (25.5% saved)

Profiling

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