Details

Time bar (total: 4.3s)

sample83.0ms

Algorithm
intervals
Results
29.0ms629×body80nan
13.0ms257×body80valid

simplify28.0ms

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 4 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
34×associate--l+
27×log-prod
25×*-un-lft-identity
19×add-sqr-sqrt
17×add-log-exp
15×add-cube-cbrt
12×distribute-rgt-in distribute-lft-in
10×associate-+l+
9×pow1
7×diff-log
6×add-exp-log add-cbrt-cube
5×sub-neg
4×associate-*r* distribute-lft-out
3×associate-+r+ associate-*l* sum-log log-pow distribute-lft-out--
2×flip3-- flip--
1×+-commutative associate--l- associate-+l- flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ difference-of-squares unswap-sqr
Counts
4 → 98
Calls
4 calls:
7.0ms
(- (- (* x (log y)) y) z)
4.0ms
(- (* x (log y)) y)
11.0ms
(+ (- (- (* x (log y)) y) z) (log t))
4.0ms
(* x (log y))

series39.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(- (- (* x (log y)) y) z)
10.0ms
(- (* x (log y)) y)
13.0ms
(+ (- (- (* x (log y)) y) z) (log t))
9.0ms
(* x (log y))

simplify90.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0403637
11259592
24208548
35002548

prune120.0ms

Filtered
76 candidates to 110 candidates (-44.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1046110
Fresh000
Picked011
Done000
Total1047111

Merged error: 0.0b

Counts
111 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite24.0ms

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)

series83.0ms

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

simplify51.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0362765
11356673
25002593

prune140.0ms

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

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1122114
Fresh235
Picked101
Done011
Total1156121

Merged error: 0b

Counts
121 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
5.0b
(pow y 1/3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
52×log-prod
40×distribute-rgt-in distribute-lft-in
28×associate-+l+
27×add-sqr-sqrt
25×add-cube-cbrt *-un-lft-identity
15×cbrt-prod unpow-prod-down
12×associate-+r+
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*r* sqr-pow
3×pow-unpow associate-*l*
2×pow1/3 log-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 113
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
10.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series89.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* x (log (cbrt y)))
30.0ms
(+ (* x (* 2 (log (pow y 1/3)))) (* x (log (cbrt y))))
21.0ms
(cbrt y)
20.0ms
(pow y 1/3)

simplify64.0ms

Algorithm
egg-herbie
Counts
125 → 125
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0492803
11911693
25001507

prune178.0ms

Filtered
90 candidates to 125 candidates (-38.9%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1250125
Fresh044
Picked011
Done011
Total1256131

Merged error: 0b

Counts
131 → 6

localize22.0ms

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))

rewrite14.0ms

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:
7.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
1.0ms
(cbrt y)
2.0ms
(cbrt (sqrt y))
2.0ms
(cbrt (sqrt y))

series101.0ms

Counts
4 → 12
Calls
4 calls:
48.0ms
(+ (* 2 (log (cbrt y))) (log (cbrt (sqrt y))))
23.0ms
(cbrt y)
14.0ms
(cbrt (sqrt y))
14.0ms
(cbrt (sqrt y))

simplify114.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (107.0ms)

IterNodesCost
0326559
1914522
23467476
35002459

prune99.0ms

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

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh123
Picked011
Done022
Total83689

Merged error: 0b

Counts
89 → 6

regimes581.0ms

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

sample2.3s

Algorithm
intervals
Results
883.0ms19877×body80nan
420.0ms8032×body80valid
0.0ms1×body1280valid
0.0ms1×body320valid

Profiling

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