Details

Time bar (total: 3.1s)

sample20.0ms

Algorithm
intervals
Results
7.0ms337×body80valid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973

prune7.0ms

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) (- 1.0 y))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
associate-*r*
add-sqr-sqrt *-un-lft-identity
pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in add-cube-cbrt sub-neg distribute-lft-in associate-*r/
flip3-- associate-*l* *-commutative flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 26
Calls
1 calls:
7.0ms
(* (* x y) (- 1.0 y))

series6.0ms

Counts
1 → 3
Calls
1 calls:
6.0ms
(* (* x y) (- 1.0 y))

simplify29.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0167140
1840114
25002114

prune61.0ms

Filtered
29 candidates to 15 candidates (48.3%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New21829
Fresh000
Picked101
Done000
Total22830

Merged error: 0.0b

Counts
30 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (* x y) 1.0) (* (* x y) (neg y)))
0.2b
(* (* x y) (neg y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
add-log-exp
distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
+-commutative neg-mul-1 flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 40
Calls
2 calls:
4.0ms
(+ (* (* x y) 1.0) (* (* x y) (neg y)))
6.0ms
(* (* x y) (neg y))

series17.0ms

Counts
2 → 6
Calls
2 calls:
11.0ms
(+ (* (* x y) 1.0) (* (* x y) (neg y)))
7.0ms
(* (* x y) (neg y))

simplify54.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
0242241
11448200
25001195

prune116.0ms

Filtered
46 candidates to 30 candidates (34.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New45146
Fresh167
Picked011
Done000
Total46854

Merged error: 0.0b

Counts
54 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 1.0 y))
0.1b
(cbrt (- 1.0 y))
0.2b
(* (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))
0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
70×cbrt-div
43×cbrt-prod
38×add-sqr-sqrt
36×*-un-lft-identity
35×flip3-- flip--
34×associate-*r/
32×frac-times
29×pow1
24×add-exp-log
16×add-cube-cbrt associate-*r* associate-*l/
15×pow-prod-down
14×prod-exp cbrt-unprod
13×add-cbrt-cube
10×swap-sqr
associate-*l* distribute-lft-out--
pow1/3
difference-of-squares
add-log-exp unswap-sqr
pow-sqr *-commutative pow-prod-up
pow2 pow-plus
Counts
4 → 144
Calls
4 calls:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
19.0ms
(* (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
6.0ms
(cbrt (- 1.0 y))
7.0ms
(* (* (* x y) (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))) (cbrt (- 1.0 y)))
7.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify86.0ms

Algorithm
egg-herbie
Counts
156 → 156
Iterations

Useful iterations: 2 (69.0ms)

IterNodesCost
06701751
128511576
250021475

prune648.0ms

Filtered
156 candidates to 91 candidates (41.7%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1542156
Fresh156
Picked011
Done011
Total1559164

Merged error: 0b

Counts
164 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
0.2b
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
0.2b
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-div
31×cbrt-prod
28×add-sqr-sqrt
26×*-un-lft-identity
24×flip3-- flip--
16×frac-times
12×add-cube-cbrt
11×pow1
10×swap-sqr
pow1/3
associate-*r/ associate-*r* associate-*l* associate-*l/
add-exp-log distribute-lft-out--
add-cbrt-cube add-log-exp difference-of-squares unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
8.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
8.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
8.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

series26.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
6.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
6.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))
7.0ms
(cbrt (* (cbrt (- 1.0 y)) (cbrt (- 1.0 y))))

simplify151.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
03661334
111401273
248061222
350011222

prune1.0s

Filtered
119 candidates to 87 candidates (26.9%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh066
Picked011
Done022
Total1199128

Merged error: 0b

Counts
128 → 9

regimes193.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0146
1186
2246
3246

end0.0ms

sample491.0ms

Algorithm
intervals
Results
228.0ms10825×body80valid

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