Details

Time bar (total: 4.6s)

analyze392.0ms (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%99.9%0.1%5
0%74.9%25.1%6
6.2%68.6%25.1%7
10.1%64.7%25.1%8
17.2%32.8%50.1%9
23%26.9%50.1%10
26.8%23.1%50.1%11
31.6%18.3%50.1%12
35.2%14.7%50.1%13
37.5%12.4%50.1%14
Compiler

Compiled 16 to 11 computations (31.3% saved)

sample22.0ms (0.5%)

Algorithm
intervals
Results
12.0ms256×body128valid
Compiler

Compiled 34 to 24 computations (29.4% saved)

simplify179.0ms (3.9%)

Algorithm
egg-herbie
Rules
772×sub-neg_binary64
624×unsub-neg_binary64
614×+-commutative_binary64
567×distribute-rgt-in_binary64
391×neg-sub0_binary64
Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01118
12518
27318
322918
455618
5127818
6141218
7153118
8162218
9162118
10163818
11194818
12266418
13412418
14415918
15432318
16434718
17436818
18474218
19493218

prune4.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New101
Fresh011
Picked000
Done000
Total112
Error
0.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
Compiler

Compiled 45 to 30 computations (33.3% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
0.0b
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
0.1b
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
0.2b
(*.f64 (+.f64 y 1/2) (log.f64 y))

rewrite139.0ms (3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×add-log-exp_binary64 *-un-lft-identity_binary64
15×add-sqr-sqrt_binary64
12×log-prod_binary64
11×add-cube-cbrt_binary64
pow1_binary64
Counts
4 → 83
Calls

4 calls:

8.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
7.0ms
(*.f64 (+.f64 y 1/2) (log.f64 y))
5.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
4.0ms
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
Compiler

Compiled 1606 to 882 computations (45.1% saved)

series219.0ms (4.8%)

Error
0.1b
Counts
4 → 44
Calls

4 calls:

75.0ms
(-.f64 (+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y) z)
49.0ms
(+.f64 (-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y))) y)
47.0ms
(-.f64 x (*.f64 (+.f64 y 1/2) (log.f64 y)))
16.0ms
(*.f64 (+.f64 y 1/2) (log.f64 y))
Compiler

Compiled 1511 to 976 computations (35.4% saved)

simplify178.0ms (3.9%)

Algorithm
egg-herbie
Rules
471×exp-sum_binary64
436×sub-neg_binary64
351×associate-+l+_binary64
305×exp-diff_binary64
295×associate-+r+_binary64
Counts
127 → 109
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01941994
15001921
214761880
334861880
444301876
549651876
649931876
748091876

prune102.0ms (2.2%)

Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1027109
Fresh000
Picked101
Done000
Total1037110
Error
0.0b
Counts
110 → 7
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) z)
1.0b
(-.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)) (cbrt.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x))) (cbrt.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x))) z)
36.8b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) 3)) z)
0.2b
(-.f64 (+.f64 (-.f64 x (+.f64 (*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))) y) z)
0.5b
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (+.f64 1/2 y) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y)))) y) z)
0.3b
(-.f64 (+.f64 (-.f64 x (*.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
20.9b
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (*.f64 y y) (-.f64 (*.f64 1/2 1/2) (*.f64 y 1/2))))) y) z)
Compiler

Compiled 1582 to 885 computations (44.1% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)
0.0b
(-.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) z)
0.1b
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
0.2b
(*.f64 (log.f64 y) (+.f64 1/2 y))

rewrite130.0ms (2.8%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
20×add-log-exp_binary64
16×*-un-lft-identity_binary64
11×add-sqr-sqrt_binary64
pow1_binary64 add-cube-cbrt_binary64
add-exp-log_binary64 add-cbrt-cube_binary64 diff-log_binary64
Counts
4 → 75
Calls

4 calls:

8.0ms
(-.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) z)
6.0ms
(*.f64 (log.f64 y) (+.f64 1/2 y))
5.0ms
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)
5.0ms
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
Compiler

Compiled 1410 to 773 computations (45.2% saved)

series199.0ms (4.3%)

Error
0.0b
Counts
4 → 38
Calls

4 calls:

75.0ms
(-.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) z)
49.0ms
(+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x)
22.0ms
(-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y)))
17.0ms
(*.f64 (log.f64 y) (+.f64 1/2 y))
Compiler

Compiled 1348 to 885 computations (34.3% saved)

simplify149.0ms (3.3%)

Algorithm
egg-herbie
Rules
465×exp-sum_binary64
421×sub-neg_binary64
368×associate-+l+_binary64
312×associate-+r+_binary64
310×exp-diff_binary64
Counts
113 → 87
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01721807
14411748
213651695
334671695
443911688
549871688
648091688

prune87.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New86187
Fresh156
Picked011
Done000
Total87794
Error
0.0b
Counts
94 → 7
Alt Table
StatusErrorProgram
0.2b
(-.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) z)
0.5b
(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))) (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))) x) z)
36.8b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) 3)) z)
0.2b
(-.f64 (+.f64 (-.f64 x (+.f64 (*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))) y) z)
0.5b
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (+.f64 1/2 y) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y)))) y) z)
0.3b
(-.f64 (+.f64 (-.f64 x (*.f64 (sqrt.f64 (+.f64 y 1/2)) (*.f64 (log.f64 y) (sqrt.f64 (+.f64 1/2 y))))) y) z)
20.9b
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (*.f64 y y) (-.f64 (*.f64 1/2 1/2) (*.f64 y 1/2))))) y) z)
Compiler

Compiled 1270 to 672 computations (47.1% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b
(*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2))
0.3b
(+.f64 (*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
0.6b
(cbrt.f64 y)
0.6b
(cbrt.f64 y)

rewrite168.0ms (3.7%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
13×*-un-lft-identity_binary64
12×cbrt-prod_binary64 log-prod_binary64 associate-+r+_binary64
11×add-cube-cbrt_binary64 add-sqr-sqrt_binary64
10×associate-*l/_binary64
pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 71
Calls

4 calls:

11.0ms
(+.f64 (*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
8.0ms
(*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2))
1.0ms
(cbrt.f64 y)
1.0ms
(cbrt.f64 y)
Compiler

Compiled 2271 to 1260 computations (44.5% saved)

series131.0ms (2.9%)

Error
0.0b
Counts
4 → 16
Calls

4 calls:

41.0ms
(+.f64 (*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))
31.0ms
(*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2))
19.0ms
(cbrt.f64 y)
17.0ms
(cbrt.f64 y)
Compiler

Compiled 1113 to 819 computations (26.4% saved)

simplify119.0ms (2.6%)

Algorithm
egg-herbie
Rules
458×cancel-sign-sub-inv_binary64
220×associate-+l+_binary64
216×associate-*r*_binary64
204×associate-*l*_binary64
196×associate-+r+_binary64
Counts
87 → 67
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01601679
14501367
216061165
336251147
449611147
549711147

prune114.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh145
Picked011
Done101
Total67774
Error
0.0b
Counts
74 → 7
Alt Table
StatusErrorProgram
0.5b
(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))) (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))) x) z)
36.8b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) 3)) z)
0.2b
(-.f64 (+.f64 (-.f64 x (+.f64 (*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))) y) z)
0.2b
(-.f64 (+.f64 (-.f64 x (+.f64 (*.f64 (+.f64 y 1/2) (*.f64 2 (+.f64 (log.f64 (cbrt.f64 y)) (log.f64 (cbrt.f64 (cbrt.f64 y)))))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 y))) (+.f64 1/2 y)))) y) z)
0.5b
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (+.f64 1/2 y) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y)))) y) z)
20.9b
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (*.f64 y y) (-.f64 (*.f64 1/2 1/2) (*.f64 y 1/2))))) y) z)
0.2b
(-.f64 (+.f64 (-.f64 x (+.f64 (*.f64 (+.f64 y 1/2) (log.f64 (*.f64 (pow.f64 y 1/6) (pow.f64 y 2/3)))) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) (+.f64 1/2 y)))) y) z)
Compiler

Compiled 1685 to 1010 computations (40.1% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite107.0ms (2.3%)

Algorithm
rewrite-expression-head
Error
0.0b
Rules
18×cbrt-prod_binary64
add-cube-cbrt_binary64 add-sqr-sqrt_binary64 *-un-lft-identity_binary64
pow1/3_binary64 pow1_binary64 add-log-exp_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
Counts
4 → 47
Calls

4 calls:

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

Compiled 1539 to 707 computations (54.1% saved)

series93.0ms (2%)

Error
0.0b
Counts
4 → 12
Calls

4 calls:

22.0ms
(cbrt.f64 (cbrt.f64 y))
19.0ms
(cbrt.f64 y)
19.0ms
(cbrt.f64 y)
19.0ms
(cbrt.f64 y)
Compiler

Compiled 1093 to 760 computations (30.5% saved)

simplify129.0ms (2.8%)

Algorithm
egg-herbie
Rules
490×log-prod_binary64
447×unswap-sqr_binary64
391×associate-+l+_binary64
359×associate-+r+_binary64
347×distribute-rgt-in_binary64
Counts
59 → 35
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
037412
162412
2157412
3490364
4994348
53219348
64305348
74726348
84976348
94730348

prune47.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New35035
Fresh055
Picked011
Done011
Total35742
Error
0.0b
Counts
42 → 7
Alt Table
StatusErrorProgram
0.5b
(-.f64 (+.f64 (*.f64 (*.f64 (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y)))) (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))) (cbrt.f64 (+.f64 y (*.f64 (log.f64 y) (-.f64 -1/2 y))))) x) z)
36.8b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (-.f64 y (*.f64 (log.f64 y) (+.f64 1/2 y))) x) 3)) z)
0.2b
(-.f64 (+.f64 (-.f64 x (+.f64 (*.f64 (+.f64 1/2 y) (*.f64 (log.f64 (cbrt.f64 y)) 2)) (*.f64 (+.f64 1/2 y) (log.f64 (cbrt.f64 y))))) y) z)
0.2b
(-.f64 (+.f64 (-.f64 x (+.f64 (*.f64 (+.f64 y 1/2) (*.f64 2 (+.f64 (log.f64 (cbrt.f64 y)) (log.f64 (cbrt.f64 (cbrt.f64 y)))))) (*.f64 (log.f64 (cbrt.f64 (cbrt.f64 y))) (+.f64 1/2 y)))) y) z)
0.5b
(-.f64 (+.f64 (-.f64 x (*.f64 (*.f64 (+.f64 1/2 y) (*.f64 (cbrt.f64 (log.f64 y)) (cbrt.f64 (log.f64 y)))) (cbrt.f64 (log.f64 y)))) y) z)
20.9b
(-.f64 (+.f64 (-.f64 x (/.f64 (*.f64 (log.f64 y) (+.f64 (pow.f64 y 3) 1/8)) (+.f64 (*.f64 y y) (-.f64 (*.f64 1/2 1/2) (*.f64 y 1/2))))) y) z)
0.2b
(-.f64 (+.f64 (-.f64 x (+.f64 (*.f64 (+.f64 y 1/2) (log.f64 (*.f64 (pow.f64 y 1/6) (pow.f64 y 2/3)))) (*.f64 (log.f64 (sqrt.f64 (cbrt.f64 y))) (+.f64 1/2 y)))) y) z)
Compiler

Compiled 762 to 438 computations (42.5% saved)

regimes969.0ms (21.1%)

Accuracy

Total 0.1b remaining (79.2%)

Threshold costs 0.1b (79.2%)

Compiler

Compiled 13845 to 9306 computations (32.8% saved)

simplify5.0ms (0.1%)

Algorithm
egg-herbie
Rules
10×+-commutative_binary64
sub-neg_binary64 *-commutative_binary64
neg-mul-1_binary64 neg-sub0_binary64
distribute-rgt-neg-in_binary64 distribute-lft-neg-in_binary64
unsub-neg_binary64 distribute-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01223
12023
23223
35423
46423
57023
67223
77123

end1.0ms (0%)

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample854.0ms (18.6%)

Algorithm
intervals
Results
388.0ms7999×body128valid
2.0ms35×body128invalid
0.0msbody512valid
Compiler

Compiled 232 to 154 computations (33.6% saved)

Profiling

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