Details

Time bar (total: 2.9s)

analyze476.0ms (16.2%)

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 12 to 8 computations (33.3% saved)

sample25.0ms (0.8%)

Algorithm
intervals
Results
16.0ms256×body128valid
0.0msbody128invalid
Compiler

Compiled 26 to 18 computations (30.8% saved)

simplify185.0ms (6.3%)

Algorithm
egg-herbie
Rules
2274×distribute-rgt-in_binary64
1065×associate--r-_binary64
746×associate--l-_binary64
687×associate--l+_binary64
673×associate--r+_binary64
Counts
1 → 0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0812
11512
23212
36712
410812
518512
626812
752212
893412
9132412
10161212
11177412
12188312
13191612
14192012
15212212
16202312
17203512
18204712
19205512
20205512
21462612
22728712

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New000
Fresh011
Picked000
Done000
Total011
Error
0.1b
Counts
1 → 1
Alt Table
StatusErrorProgram
0.1b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
Compiler

Compiled 22 to 14 computations (36.4% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b
(-.f64 (*.f64 x (log.f64 y)) z)
0.2b
(*.f64 x (log.f64 y))

rewrite45.0ms (1.5%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×log-prod_binary64
11×add-sqr-sqrt_binary64
*-un-lft-identity_binary64
add-cube-cbrt_binary64
associate--l+_binary64
Counts
2 → 45
Calls

2 calls:

3.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
3.0ms
(*.f64 x (log.f64 y))
Compiler

Compiled 624 to 203 computations (67.5% saved)

series57.0ms (2%)

Error
0.1b
Counts
2 → 21
Calls

2 calls:

33.0ms
(-.f64 (*.f64 x (log.f64 y)) z)
17.0ms
(*.f64 x (log.f64 y))
Compiler

Compiled 495 to 330 computations (33.3% saved)

simplify68.0ms (2.3%)

Algorithm
egg-herbie
Rules
485×distribute-neg-out_binary64
482×distribute-rgt-in_binary64
438×distribute-lft-in_binary64
246×*-commutative_binary64
215×associate-*l*_binary64
Counts
66 → 39
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0101656
1195625
2460620
31050620
43162620
54945620

prune23.0ms (0.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New35439
Fresh000
Picked011
Done000
Total35540
Error
0.0b
Counts
40 → 5
Alt Table
StatusErrorProgram
0.1b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
28.6b
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (log.f64 y) x) (*.f64 (log.f64 y) x)) (*.f64 z z)) (+.f64 (*.f64 (log.f64 y) x) z)) y)
0.1b
(-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)
29.5b
(-.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x))) z) y)
0.5b
(-.f64 (-.f64 (*.f64 (*.f64 (cbrt.f64 (*.f64 (log.f64 y) x)) (cbrt.f64 (*.f64 (log.f64 y) x))) (cbrt.f64 (*.f64 (log.f64 y) x))) z) y)
Compiler

Compiled 539 to 213 computations (60.5% saved)

localize12.0ms (0.4%)

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))))
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)

rewrite79.0ms (2.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
12×associate-+r+_binary64
12×log-prod_binary64
12×cbrt-prod_binary64
11×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
Counts
4 → 64
Calls

4 calls:

10.0ms
(cbrt.f64 y)
5.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
4.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1497 to 604 computations (59.7% saved)

series128.0ms (4.3%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

46.0ms
(*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2))
45.0ms
(+.f64 (*.f64 x (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 x (log.f64 (cbrt.f64 y))))
16.0ms
(cbrt.f64 y)
12.0ms
(cbrt.f64 y)
Compiler

Compiled 921 to 659 computations (28.4% saved)

simplify92.0ms (3.1%)

Algorithm
egg-herbie
Rules
342×*-commutative_binary64
328×cancel-sign-sub-inv_binary64
306×distribute-rgt-out_binary64
259×distribute-rgt-in_binary64
259×log-prod_binary64
Counts
82 → 62
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01201166
1286917
2860771
32506747
44333747
54794747

prune45.0ms (1.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New60262
Fresh213
Picked101
Done011
Total63467
Error
0.0b
Counts
67 → 4
Alt Table
StatusErrorProgram
0.1b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.1b
(-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)) z) y)
29.5b
(-.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x))) z) y)
0.1b
(-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y 2/3)) (cbrt.f64 (cbrt.f64 y)))) 2)) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)
Compiler

Compiled 891 to 416 computations (53.3% saved)

localize20.0ms (0.7%)

Local error

Found 4 expressions with local error:

0.6b
(cbrt.f64 (cbrt.f64 y))
0.7b
(cbrt.f64 y)
0.7b
(cbrt.f64 y)
6.0b
(pow.f64 y 2/3)

rewrite70.0ms (2.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
15×cbrt-prod_binary64
10×*-un-lft-identity_binary64
10×add-sqr-sqrt_binary64
10×add-cube-cbrt_binary64
add-exp-log_binary64
Counts
4 → 53
Calls

4 calls:

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

Compiled 1410 to 727 computations (48.4% saved)

series70.0ms (2.4%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

19.0ms
(cbrt.f64 y)
18.0ms
(cbrt.f64 (cbrt.f64 y))
13.0ms
(cbrt.f64 y)
13.0ms
(pow.f64 y 2/3)
Compiler

Compiled 909 to 657 computations (27.7% saved)

simplify85.0ms (2.9%)

Algorithm
egg-herbie
Rules
796×log-prod_binary64
378×*-commutative_binary64
358×exp-sum_binary64
345×log-div_binary64
254×associate-/r*_binary64
Counts
65 → 42
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
069425
1126407
2301399
31212395
42912383
54408383
65113383

prune23.0ms (0.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New42042
Fresh022
Picked011
Done011
Total42446
Error
0.0b
Counts
46 → 4
Alt Table
StatusErrorProgram
0.1b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.1b
(-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 (log.f64 y) 5/6)) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)) z) y)
29.5b
(-.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (log.f64 y) x)) (sqrt.f64 (*.f64 (log.f64 y) x))) z) y)
0.1b
(-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y 2/3)) (cbrt.f64 (cbrt.f64 y)))) 2)) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)
Compiler

Compiled 627 to 356 computations (43.2% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b
(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
0.3b
(*.f64 x (*.f64 (log.f64 y) 5/6))
0.3b
(*.f64 (log.f64 y) 5/6)
0.7b
(cbrt.f64 y)

rewrite130.0ms (4.4%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
16×pow1_binary64
14×associate-*l*_binary64
14×add-sqr-sqrt_binary64
13×add-cbrt-cube_binary64
13×add-exp-log_binary64
Counts
4 → 70
Calls

4 calls:

10.0ms
(*.f64 x (*.f64 (log.f64 y) 5/6))
6.0ms
(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
3.0ms
(*.f64 (log.f64 y) 5/6)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 1389 to 604 computations (56.5% saved)

series111.0ms (3.8%)

Error
0.0b
Counts
4 → 18
Calls

4 calls:

52.0ms
(*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)
20.0ms
(*.f64 x (*.f64 (log.f64 y) 5/6))
18.0ms
(cbrt.f64 y)
12.0ms
(*.f64 (log.f64 y) 5/6)
Compiler

Compiled 999 to 691 computations (30.8% saved)

simplify85.0ms (2.9%)

Algorithm
egg-herbie
Rules
547×log-prod_binary64
384×*-commutative_binary64
251×log-div_binary64
249×exp-sum_binary64
221×exp-prod_binary64
Counts
88 → 64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
0127935
1255817
2735800
31498800
43491796
54762796
65047796

prune44.0ms (1.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New63164
Fresh101
Picked101
Done022
Total65368
Error
0.0b
Counts
68 → 3
Alt Table
StatusErrorProgram
0.1b
(-.f64 (-.f64 (*.f64 x (log.f64 y)) z) y)
0.1b
(-.f64 (-.f64 (+.f64 (*.f64 x (*.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 y 2/3)) (cbrt.f64 (cbrt.f64 y)))) 2)) (*.f64 x (log.f64 (cbrt.f64 y)))) z) y)
0.1b
(-.f64 (-.f64 (+.f64 (*.f64 x (log.f64 (pow.f64 y 5/6))) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) x)) z) y)
Compiler

Compiled 983 to 485 computations (50.7% saved)

regimes275.0ms (9.3%)

Accuracy

Total 0.1b remaining (85.9%)

Threshold costs 0.1b (85.9%)

Compiler

Compiled 5266 to 3388 computations (35.7% saved)

simplify5.0ms (0.2%)

Algorithm
egg-herbie
Rules
+-commutative_binary64
sub-neg_binary64
*-commutative_binary64
neg-sub0_binary64
neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01124
11624
22424
32824
43024
53024

end0.0ms (0%)

Compiler

Compiled 18 to 9 computations (50% saved)

sample770.0ms (26.2%)

Algorithm
intervals
Results
447.0ms7998×body128valid
1.0ms29×body128invalid
1.0ms29×body128nan
0.0msbody1024valid
0.0msbody256valid
Compiler

Compiled 90 to 59 computations (34.4% saved)

Profiling

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