Details

Time bar (total: 3.6s)

sample571.0ms

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 64.84375%

Guaranteed chance to sample good point: 71.111111%

Results
16.0ms256×body80valid
5.0ms118×body80nan

simplify29.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1486
21186
32476
45256
57326
69376
711086
811286
911286

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (- (- (* x (log y)) y) z) (log t))
0.0b
(- (- (* x (log y)) y) z)
0.3b
(* x (log y))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×associate--l+
22×*-un-lft-identity
21×log-prod
16×add-sqr-sqrt
14×add-log-exp
12×add-cube-cbrt
10×associate-+l+
9×distribute-rgt-in distribute-lft-in
8×pow1
6×diff-log
5×add-exp-log add-cbrt-cube
4×sub-neg associate-*r* distribute-lft-out
3×associate-+r+ associate-*l* sum-log log-pow distribute-lft-out--
1×+-commutative associate--l- associate-+l- flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
3 → 80
Calls
3 calls:
11.0ms
(+ (- (- (* x (log y)) y) z) (log t))
7.0ms
(- (- (* x (log y)) y) z)
4.0ms
(* x (log y))

series30.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(+ (- (- (* x (log y)) y) z) (log t))
8.0ms
(- (- (* x (log y)) y) z)
7.0ms
(* x (log y))

simplify79.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0353536
11136489
23845455
35001455

prune90.0ms

Filtered
60 candidates to 89 candidates (-48.3%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New85489
Fresh000
Picked101
Done000
Total86490

Merged error: 0.0b

Counts
90 → 4

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (- (* x (log y)) y) (- (log t) z))
0.3b
(* x (log y))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
16×*-un-lft-identity
15×log-prod
12×add-log-exp
11×add-sqr-sqrt
9×add-cube-cbrt associate--l+
8×associate-+l+
6×pow1 distribute-rgt-in distribute-lft-in
5×associate-+r+
4×add-exp-log flip3-- diff-log associate-*r* frac-add sum-log add-cbrt-cube flip--
3×associate-*l* distribute-lft-out
2×sub-neg log-pow distribute-lft-out--
1×+-commutative associate-+l- associate-+r- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
2 → 61
Calls
2 calls:
11.0ms
(+ (- (* x (log y)) y) (- (log t) z))
6.0ms
(* x (log y))

series20.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(+ (- (* x (log y)) y) (- (log t) z))
7.0ms
(* x (log y))

simplify41.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0445534
11627496
25002465

prune66.0ms

Filtered
46 candidates to 67 candidates (-45.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New67067
Fresh033
Picked011
Done000
Total67471

Merged error: 0.0b

Counts
71 → 4

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
7×pow1
6×add-exp-log add-cbrt-cube add-log-exp
5×associate-*r*
3×pow1/3 associate-*l*
2×log-pow
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series81.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
20.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
21.0ms
(cbrt y)

simplify48.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0362765
11356673
25002593

prune124.0ms

Filtered
87 candidates to 114 candidates (-31.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1131114
Fresh022
Picked011
Done011
Total1135118

Merged error: 0b

Counts
118 → 5

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
0.6b
(cbrt y)
0.6b
(cbrt (sqrt y))
0.6b
(cbrt (sqrt y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×cbrt-prod
21×log-prod
16×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×associate-+l+
9×associate-+r+ sqrt-prod
6×distribute-rgt-in distribute-lft-in
5×add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow1/3
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 71
Calls
4 calls:
8.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series138.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
21.0ms
(cbrt y)
15.0ms
(cbrt (sqrt y))
15.0ms
(cbrt (sqrt y))

simplify115.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0326559
1914522
23467476
35002459

prune101.0ms

Filtered
64 candidates to 83 candidates (-29.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New83083
Fresh022
Picked011
Done022
Total83588

Merged error: 0b

Counts
88 → 5

regimes389.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0126
1126

end0.0ms

sample1.6s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 64.84375%

Guaranteed chance to sample good point: 71.111111%

Results
453.0ms8028×body80valid
155.0ms3159×body80nan
0.0ms1×body1280valid

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