Details

Time bar (total: 2.2s)

analyze188.0ms

Algorithm
search

sample18.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
0.0ms1×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
14×associate--l+
12×add-sqr-sqrt log-prod
10×*-un-lft-identity
8×add-cube-cbrt
7×add-log-exp
6×distribute-rgt-in distribute-lft-in
5×pow1
4×add-exp-log associate-*r* add-cbrt-cube
3×diff-log associate-*l*
2×sub-neg
1×associate--l- flip3-- pow-prod-down prod-exp log-pow *-commutative flip-- cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
7.0ms
(- (- (* x (log y)) z) y)
4.0ms
(* x (log y))

series18.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(- (- (* x (log y)) z) y)
7.0ms
(* x (log y))

simplify46.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0229284
1693253
22061235
35002235

prune54.0ms

Filtered
36 candidates to 55 candidates (-52.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh000
Picked011
Done000
Total52456

Merged error: 0.0b

Counts
56 → 4

localize12.0ms

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)

rewrite21.0ms

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)

series94.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
23.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
22.0ms
(cbrt y)
30.0ms
(cbrt y)

simplify46.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0362765
11356673
25002593

prune122.0ms

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh112
Picked101
Done011
Total1144118

Merged error: 0b

Counts
118 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (pow y 1/3)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
0.6b
(cbrt y)
5.1b
(pow y 1/3)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
38×distribute-rgt-in distribute-lft-in
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
24×associate-+l+
15×cbrt-prod unpow-prod-down
14×associate-+r+
7×pow1 add-exp-log
6×add-cbrt-cube add-log-exp
5×sqr-pow
4×associate-*r*
3×pow-unpow associate-*l*
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 pow-prod-down pow-exp prod-exp sum-log log-pow *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 112
Calls
4 calls:
5.0ms
(* x (log (pow y 1/3)))
11.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series92.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(* x (log (pow y 1/3)))
31.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (pow y 1/3))))
22.0ms
(cbrt y)
21.0ms
(pow y 1/3)

simplify65.0ms

Algorithm
egg-herbie
Counts
124 → 124
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0460798
11882686
25002512

prune167.0ms

Filtered
89 candidates to 124 candidates (-39.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1231124
Fresh112
Picked011
Done011
Total1244128

Merged error: 0b

Counts
128 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (log y)) (cbrt (log y)))
0.5b
(cbrt (log y))
0.5b
(cbrt (log y))
0.5b
(cbrt (log y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
23×add-sqr-sqrt
20×pow1
17×*-un-lft-identity
15×add-cube-cbrt
9×pow1/3 swap-sqr log-pow
7×associate-*r* associate-*l*
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
6.0ms
(* (cbrt (log y)) (cbrt (log y)))
1.0ms
(cbrt (log y))
1.0ms
(cbrt (log y))
1.0ms
(cbrt (log y))

series148.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (cbrt (log y)) (cbrt (log y)))
36.0ms
(cbrt (log y))
35.0ms
(cbrt (log y))
37.0ms
(cbrt (log y))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0127502
1388461
21756389
35001367

prune62.0ms

Filtered
52 candidates to 93 candidates (-78.8%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New92193
Fresh101
Picked011
Done022
Total93497

Merged error: 0b

Counts
97 → 4

regimes204.0ms

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
084
184

end0.0ms

analyze186.0ms

Algorithm
search

sample466.0ms

Algorithm
intervals
Results
299.0ms8000×body80valid
1.0ms28×body80invalid
1.0ms31×body80nan

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