Details

Time bar (total: 3.5s)

sample31.0ms

Algorithm
intervals
Results
9.0ms258×body80valid
7.0ms267×body80nan

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
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)) z) y)
0.0b
(- (* x (log y)) z)
0.3b
(* x (log y))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
20×associate--l+
18×log-prod
15×add-sqr-sqrt
13×*-un-lft-identity
11×add-cube-cbrt
10×add-log-exp
distribute-rgt-in distribute-lft-in
pow1
add-exp-log add-cbrt-cube
diff-log associate-*r*
sub-neg associate-*l*
flip3-- flip--
associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 67
Calls
3 calls:
7.0ms
(- (- (* x (log y)) z) y)
4.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series130.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (- (* x (log y)) z) y)
59.0ms
(- (* x (log y)) z)
39.0ms
(* x (log y))

simplify65.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0257372
1752352
22351328
35001328

prune131.0ms

Filtered
76 candidates to 53 candidates (69.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New71576
Fresh000
Picked011
Done000
Total71677

Merged error: 0.0b

Counts
77 → 6

localize14.0ms

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
associate-*r* associate-*l*
pow-prod-down prod-exp cbrt-unprod add-log-exp
pow1/3
log-pow *-commutative
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)

series539.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(* x (* 2 (log (cbrt y))))
91.0ms
(* x (log (cbrt y)))
176.0ms
(cbrt y)
175.0ms
(cbrt y)

simplify42.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0291642
11173565
25001541

prune214.0ms

Filtered
108 candidates to 68 candidates (63.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1071108
Fresh224
Picked101
Done011
Total1104114

Merged error: 0.0b

Counts
114 → 4

localize19.0ms

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)

rewrite21.0ms

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
unpow-prod-down
associate-*l*
associate-*r*
pow-prod-down prod-exp cbrt-unprod add-log-exp
pow-unpow sqr-pow
*-commutative
pow-to-exp pow-pow unpow1/3 pow1/3 pow-exp log-pow unswap-sqr
Counts
4 → 104
Calls
4 calls:
9.0ms
(* x (* 2 (log (cbrt y))))
5.0ms
(* x (log (pow y 1/3)))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series513.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(* x (* 2 (log (cbrt y))))
78.0ms
(* x (log (pow y 1/3)))
171.0ms
(cbrt y)
170.0ms
(pow y 1/3)

simplify49.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0386656
11554517
25001476

prune213.0ms

Filtered
116 candidates to 65 candidates (56.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1160116
Fresh022
Picked011
Done011
Total1164120

Merged error: 0.0b

Counts
120 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (log y))
0.1b
(sqrt (log y))
0.1b
(* x (sqrt (log y)))
0.2b
(* (* x (sqrt (log y))) (sqrt (log y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
17×pow1 add-sqr-sqrt sqrt-prod
14×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*l* pow-prod-down prod-exp log-pow cbrt-unprod add-log-exp
rem-sqrt-square sqrt-pow1 pow1/2 *-commutative unswap-sqr
Counts
4 → 73
Calls
4 calls:
1.0ms
(sqrt (log y))
1.0ms
(sqrt (log y))
5.0ms
(* x (sqrt (log y)))
7.0ms
(* (* x (sqrt (log y))) (sqrt (log y)))

series366.0ms

Counts
4 → 12
Calls
4 calls:
140.0ms
(sqrt (log y))
132.0ms
(sqrt (log y))
56.0ms
(* x (sqrt (log y)))
37.0ms
(* (* x (sqrt (log y))) (sqrt (log y)))

simplify63.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0163386
1711332
22199308
35001308

prune125.0ms

Filtered
85 candidates to 46 candidates (54.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New85085
Fresh011
Picked011
Done022
Total85489

Merged error: 0.0b

Counts
89 → 4

regimes86.0ms

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
01910
11910

end0.0ms

sample835.0ms

Algorithm
intervals
Results
291.0ms8032×body80valid
210.0ms7942×body80nan
1.0msbody2560valid
0.0msbody640valid

Profiling

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