Details

Time bar (total: 4.8s)

sample26.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms232×body80nan

simplify16.0ms

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 (100.0%)
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 3 expressions with local error:

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

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
20×add-sqr-sqrt associate--l+
18×log-prod
11×add-cube-cbrt
10×add-log-exp
9×distribute-rgt-in distribute-lft-in
7×distribute-lft-out--
6×pow1
5×add-exp-log associate-*l* add-cbrt-cube
4×diff-log associate-*r*
3×sub-neg difference-of-squares
2×flip3-- flip-- unswap-sqr
1×associate--l- pow-prod-down prod-exp log-pow *-commutative cbrt-unprod
Counts
3 → 73
Calls
3 calls:
12.0ms
(- (- (* x (log y)) z) y)
9.0ms
(- (* x (log y)) z)
4.0ms
(* x (log y))

series140.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(- (- (* x (log y)) z) y)
53.0ms
(- (* x (log y)) z)
43.0ms
(* x (log y))

simplify61.0ms

Algorithm
egg-herbie
Counts
82 → 82
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0262408
1750388
22284364
35002364

prune120.0ms

Filtered
82 candidates to 56 candidates (31.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New77582
Fresh000
Picked011
Done000
Total77683

Merged error: 0.0b

Counts
83 → 6

localize12.0ms

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))))
0.5b
(cbrt y)
0.5b
(cbrt y)

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
44×*-un-lft-identity
43×associate-*r*
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod add-sqr-sqrt
28×add-cube-cbrt
24×associate-+l+
15×pow1
13×distribute-rgt-out associate-*l*
12×associate-+r+ log-pow
11×distribute-lft-out
6×add-exp-log add-cbrt-cube add-log-exp
5×pow1/3
3×*-commutative
1×+-commutative flip3-+ pow-prod-down prod-exp sum-log cbrt-unprod flip-+ unswap-sqr
Counts
4 → 125
Calls
4 calls:
5.0ms
(* x (log (cbrt y)))
44.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series543.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(* x (log (cbrt y)))
102.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
175.0ms
(cbrt y)
173.0ms
(cbrt y)

simplify69.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
0398823
11899687
25003649

prune297.0ms

Filtered
137 candidates to 102 candidates (25.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1334137
Fresh404
Picked011
Done011
Total1376143

Merged error: 0b

Counts
143 → 6

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (* 2 (log (cbrt y))))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
0.5b
(cbrt y)
5.1b
(pow y 1/3)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
76×distribute-rgt-in log-prod distribute-lft-in
45×*-un-lft-identity
42×add-sqr-sqrt
35×add-cube-cbrt
28×associate-+r+ associate-*r*
27×cbrt-prod
24×associate-+l+
15×unpow-prod-down
12×pow1
11×associate-*l*
10×add-exp-log
9×add-cbrt-cube
6×log-pow distribute-lft-out add-log-exp
5×sqr-pow
4×pow1/3 *-commutative unswap-sqr
3×pow-unpow distribute-rgt-out pow-prod-down prod-exp cbrt-unprod
2×pow-pow
1×+-commutative pow-to-exp flip3-+ unpow1/3 pow-exp sum-log flip-+
Counts
4 → 158
Calls
4 calls:
10.0ms
(* x (* 2 (log (cbrt y))))
50.0ms
(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
1.0ms
(cbrt y)
2.0ms
(pow y 1/3)

series602.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* x (* 2 (log (cbrt y))))
141.0ms
(+ (* x (* 2 (log (cbrt y)))) (* 1 (* x (log (pow y 1/3)))))
175.0ms
(cbrt y)
172.0ms
(pow y 1/3)

simplify80.0ms

Algorithm
egg-herbie
Counts
170 → 170
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
06631211
12763972
25002843

prune402.0ms

Filtered
170 candidates to 118 candidates (30.6%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1691170
Fresh123
Picked011
Done022
Total1706176

Merged error: 0b

Counts
176 → 6

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt y)
0.5b
(cbrt y)
0.6b
(cbrt (* (cbrt y) (cbrt y)))
0.6b
(cbrt (cbrt y))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
58×cbrt-prod
25×add-sqr-sqrt
17×add-cube-cbrt *-un-lft-identity
6×swap-sqr associate-*r* associate-*l*
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp unswap-sqr
1×*-commutative
Counts
4 → 71
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
7.0ms
(cbrt (* (cbrt y) (cbrt y)))
2.0ms
(cbrt (cbrt y))

series995.0ms

Counts
4 → 12
Calls
4 calls:
309.0ms
(cbrt y)
177.0ms
(cbrt y)
272.0ms
(cbrt (* (cbrt y) (cbrt y)))
237.0ms
(cbrt (cbrt y))

simplify51.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 2 (16.0ms)

IterNodesCost
0150447
1450427
22195388
35001388

prune264.0ms

Filtered
83 candidates to 64 candidates (22.9%)
Pruning

6 alts after pruning (2 fresh and 4 done)

PrunedKeptTotal
New83083
Fresh022
Picked011
Done033
Total83689

Merged error: 0b

Counts
89 → 6

regimes122.0ms

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

sample743.0ms

Algorithm
intervals
Results
234.0ms8035×body80valid
178.0ms7886×body80nan