Details

Time bar (total: 2.9s)

analyze250.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
13.0ms255×body80valid
0.0ms12×body80nan
0.0ms1×body320valid
0.0ms2×body80invalid

simplify30.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0206
1486
21186
32476
45256
57326
69376
711086
811286
911286

prune6.0ms

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)
0.3b
(* x (log y))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×log-prod
20×*-un-lft-identity associate--l+
14×add-sqr-sqrt
12×add-cube-cbrt
11×add-log-exp
10×associate-+l+
9×distribute-rgt-in distribute-lft-in
8×pow1
5×add-exp-log add-cbrt-cube
4×diff-log associate-*r* distribute-lft-out
3×sub-neg associate-+r+ associate-*l* sum-log log-pow
2×distribute-lft-out--
1×+-commutative associate-+l- flip3-- flip3-+ pow-prod-down prod-exp *-commutative flip-- cbrt-unprod flip-+ unswap-sqr
Counts
3 → 74
Calls
3 calls:
11.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(- (* x (log y)) y)
4.0ms
(* x (log y))

series29.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
9.0ms
(- (* x (log y)) y)
7.0ms
(* x (log y))

simplify81.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0357487
11130439
23828405
35001405

prune88.0ms

Filtered
56 candidates to 83 candidates (-48.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New79483
Fresh000
Picked011
Done000
Total79584

Merged error: 0.0b

Counts
84 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
36×log-prod
30×distribute-rgt-in distribute-lft-in
24×cbrt-prod
23×add-sqr-sqrt
21×add-cube-cbrt *-un-lft-identity
12×pow1
11×add-exp-log add-cbrt-cube
6×associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 96
Calls
4 calls:
6.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (cbrt y)))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series82.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* x (* 2 (log (cbrt y))))
19.0ms
(* x (log (cbrt y)))
21.0ms
(cbrt y)
23.0ms
(cbrt y)

simplify95.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (87.0ms)

IterNodesCost
0317684
11171607
24308566
35001542

prune101.0ms

Filtered
62 candidates to 108 candidates (-74.2%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh123
Picked101
Done011
Total1085113

Merged error: 0.0b

Counts
113 → 5

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (* 2 (log (cbrt y))))
0.3b
(* x (log (pow y 1/3)))
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
38×log-prod
31×distribute-rgt-in distribute-lft-in
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
15×cbrt-prod
12×pow1 add-exp-log
11×add-cbrt-cube
9×unpow-prod-down
6×associate-*l*
5×associate-*r*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow-unpow sqr-pow
2×*-commutative
1×pow-to-exp pow-pow unpow1/3 pow1/3 pow-exp log-pow unswap-sqr
Counts
4 → 104
Calls
4 calls:
6.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (pow y 1/3)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series78.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* x (* 2 (log (cbrt y))))
16.0ms
(* x (log (pow y 1/3)))
20.0ms
(cbrt y)
19.0ms
(pow y 1/3)

simplify52.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0411686
11736540
25001475

prune129.0ms

Filtered
60 candidates to 116 candidates (-93.3%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh033
Picked011
Done011
Total1165121

Merged error: 0.0b

Counts
121 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x (log (cbrt y)))
0.3b
(* (* 2/3 (log y)) x)
0.4b
(* 2/3 (log y))
0.6b
(cbrt y)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×log-prod
16×add-cube-cbrt *-un-lft-identity
15×pow1
13×add-exp-log add-cbrt-cube
12×associate-*r*
9×cbrt-prod distribute-rgt-in distribute-lft-in
7×associate-*l*
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×log-pow *-commutative
2×pow1/3 unswap-sqr
Counts
4 → 86
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
5.0ms
(* (* 2/3 (log y)) x)
4.0ms
(* 2/3 (log y))
1.0ms
(cbrt y)

series65.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
11.0ms
(* (* 2/3 (log y)) x)
12.0ms
(* 2/3 (log y))
22.0ms
(cbrt y)

simplify100.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0302478
11309411
24312382
35001373

prune86.0ms

Filtered
59 candidates to 98 candidates (-66.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New97198
Fresh022
Picked011
Done022
Total976103

Merged error: 0b

Counts
103 → 6

regimes573.0ms

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
02312
12312

end0.0ms

analyze242.0ms

Algorithm
search

sample647.0ms

Algorithm
intervals
Results
428.0ms7995×body80valid
17.0ms357×body80nan
1.0ms28×body80invalid
1.0ms2×body1280valid
1.0ms3×body320valid

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