Details

Time bar (total: 2.8s)

analyze240.0ms (8.5%)

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%87.4%12.6%5
9.4%65.5%25.1%6
14%60.8%25.1%7
19.5%49.1%31.4%8
24.6%37.8%37.6%9
28.7%33.7%37.6%10
33.3%26%40.7%11
36.2%19.9%43.8%12
38.6%17.6%43.8%13
41.3%13.3%45.4%14
Compiler

Compiled 9 to 8 computations (11.1% saved)

sample19.0ms (0.7%)

Algorithm
intervals
Results
10.0ms256×body80valid
1.0ms19×body80nan
0.0msbody80invalid
Compiler

Compiled 17 to 18 computations (-5.9% saved)

simplify179.0ms (6.3%)

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (170.0ms)

IterNodesCost
0493012
1493012

prune4.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.2b

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 x (log.f64 (/.f64 x y))) z)
0.3b
(*.f64 x (log.f64 (/.f64 x y)))
14.7b
(log.f64 (/.f64 x y))

rewrite22.0ms (0.8%)

Algorithm
rewrite-expression-head
Rules
65×log-prod_binary64
45×times-frac_binary64
42×add-sqr-sqrt_binary64
40×*-un-lft-identity_binary64 add-cube-cbrt_binary64
26×distribute-lft-in_binary64 distribute-rgt-in_binary64 associate--l+_binary64
add-exp-log_binary64
pow1_binary64
add-log-exp_binary64 add-cbrt-cube_binary64 div-inv_binary64
associate-*r*_binary64
associate-*l*_binary64
rem-log-exp_binary64 log-pow_binary64
pow-prod-down_binary64 sub-neg_binary64 flip3--_binary64 diff-log_binary64 cbrt-unprod_binary64 unswap-sqr_binary64 prod-exp_binary64 div-exp_binary64 log-div_binary64 flip--_binary64 *-commutative_binary64
Counts
3 → 106
Calls

3 calls:

8.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
6.0ms
(*.f64 x (log.f64 (/.f64 x y)))
3.0ms
(log.f64 (/.f64 x y))

series32.0ms (1.1%)

Counts
3 → 9
Calls

3 calls:

16.0ms
(-.f64 (*.f64 x (log.f64 (/.f64 x y))) z)
9.0ms
(*.f64 x (log.f64 (/.f64 x y)))
7.0ms
(log.f64 (/.f64 x y))

simplify86.0ms (3%)

Algorithm
egg-herbie
Counts
115 → 115
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
055701767

prune91.0ms (3.2%)

Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1078115
Fresh000
Picked101
Done000
Total1088116

Merged error: 0.0b

Counts
116 → 8
Compiler

Compiled 1910 to 528 computations (72.4% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 44
Calls

4 calls:

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

series62.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

17.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 x)

simplify67.0ms (2.4%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04925340
14925340

prune53.0ms (1.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New54256
Fresh077
Picked101
Done000
Total55964

Merged error: 0.0b

Counts
64 → 9
Compiler

Compiled 1548 to 618 computations (60.1% saved)

localize23.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 44
Calls

4 calls:

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

series58.0ms (2.1%)

Counts
4 → 12
Calls

4 calls:

15.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 y)
14.0ms
(cbrt.f64 y)

simplify44.0ms (1.6%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (28.0ms)

IterNodesCost
05000340

prune55.0ms (1.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New56056
Fresh088
Picked011
Done000
Total56965

Merged error: 0.0b

Counts
65 → 9
Compiler

Compiled 2022 to 704 computations (65.2% saved)

localize12.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod_binary64
*-un-lft-identity_binary64 add-cube-cbrt_binary64 add-sqr-sqrt_binary64
add-log-exp_binary64 pow1_binary64 pow1/3_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 44
Calls

4 calls:

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

series62.0ms (2.2%)

Counts
4 → 12
Calls

4 calls:

17.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 y)
15.0ms
(cbrt.f64 x)
15.0ms
(cbrt.f64 y)

simplify67.0ms (2.4%)

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04925340
14925340

prune35.0ms (1.2%)

Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New56056
Fresh077
Picked011
Done011
Total56965

Merged error: 0.0b

Counts
65 → 9
Compiler

Compiled 1240 to 471 computations (62% saved)

regimes136.0ms (4.8%)

Compiler

Compiled 594 to 384 computations (35.4% saved)

bsearch0.0ms (0%)

simplify186.0ms (6.6%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03450
13450

end0.0ms (0%)

sample1.2s (44.2%)

Algorithm
intervals
Results
321.0ms8000×body80valid
30.0ms741×body80nan
2.0ms46×body80invalid
Compiler

Compiled 256 to 166 computations (35.2% saved)

Profiling

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