Details

Time bar (total: 2.3s)

sample16.0ms

Algorithm
intervals
Results
8.0ms338×body80valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2743
31123
41233
51273
61273

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
18×prod-diff
16×add-sqr-sqrt *-un-lft-identity
14×add-cube-cbrt
11×distribute-rgt-in distribute-lft-in
6×pow1 add-exp-log add-cbrt-cube
5×associate-*r*
3×pow-prod-down prod-exp cbrt-unprod
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- associate-*l* *-commutative flip-- log1p-expm1-u distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 46
Calls
1 calls:
8.0ms
(* (* x y) (- 1.0 y))

series48.0ms

Counts
1 → 3
Calls
1 calls:
48.0ms
(* (* x y) (- 1.0 y))

simplify46.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0292436
11402284
25001272

prune56.0ms

Filtered
49 candidates to 19 candidates (38.8%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New41849
Fresh000
Picked101
Done000
Total42850

Merged error: 0.0b

Counts
50 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r*
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×add-log-exp
3×distribute-lft-neg-in distribute-rgt-neg-in pow-prod-down prod-exp distribute-rgt-neg-out cbrt-unprod
2×expm1-log1p-u log1p-expm1-u
1×+-commutative neg-mul-1 fma-def flip3-+ associate-*l* unsub-neg sum-log *-commutative flip-+ distribute-lft-out
Counts
2 → 45
Calls
2 calls:
5.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
6.0ms
(* (* x y) (- y))

series108.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
32.0ms
(* (* x y) (- y))

simplify59.0ms

Algorithm
egg-herbie
Counts
51 → 51
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0252263
11522222
25002217

prune112.0ms

Filtered
51 candidates to 35 candidates (68.6%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New49251
Fresh167
Picked101
Done000
Total51859

Merged error: 0.0b

Counts
59 → 8

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
0.1b
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
6×associate-*r* associate-*l* associate-*l/
5×add-cube-cbrt
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-+ *-commutative flip-+ log1p-expm1-u distribute-lft-out add-log-exp
1×distribute-rgt-neg-in unswap-sqr
Counts
2 → 46
Calls
2 calls:
17.0ms
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
19.0ms
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

series114.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x)
63.0ms
(* (* (+ (* 1 (pow (cbrt 1.0) 3)) (- y)) x) y)

simplify47.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0224382
11118262
25001252

prune129.0ms

Filtered
52 candidates to 38 candidates (73.1%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New50252
Fresh167
Picked011
Done000
Total51960

Merged error: 0.0b

Counts
60 → 9

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
14.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))

series373.0ms

Counts
4 → 12
Calls
4 calls:
105.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
90.0ms
(cbrt (- 1.0 y))
88.0ms
(cbrt (- 1.0 y))
89.0ms
(cbrt (- 1.0 y))

simplify146.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0328874
11070836
24697779
35001776

prune404.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh077
Picked011
Done011
Total1219130

Merged error: 0.0b

Counts
130 → 9

regimes112.0ms

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
02512
12712
22712

end0.0ms

sample413.0ms

Algorithm
intervals
Results
242.0ms10679×body80valid

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