Details

Time bar (total: 2.4s)

sample15.0ms

Algorithm
intervals
Results
7.0ms345×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))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* (* x y) (- 1.0 y))

simplify44.0ms

Algorithm
egg-herbie
Counts
49 → 49
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0292436
11402284
25001272

prune50.0ms

Filtered
49 candidates to 19 candidates (38.8%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New45449
Fresh000
Picked011
Done000
Total45550

Merged error: 0.0b

Counts
50 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite23.0ms

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:
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
3.0ms
(cbrt (- 1.0 y))
10.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

series360.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(cbrt (- 1.0 y))
85.0ms
(cbrt (- 1.0 y))
84.0ms
(cbrt (- 1.0 y))
106.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))

simplify146.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0328874
11077836
24703779
35001778

prune266.0ms

Filtered
121 candidates to 89 candidates (73.6%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1210121
Fresh033
Picked011
Done011
Total1215126

Merged error: 0.0b

Counts
126 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (- 1.0 y))
5.2b
(* x (* y (- 1.0 y)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
55×distribute-rgt-in distribute-lft-in
54×prod-diff
45×add-sqr-sqrt
43×*-un-lft-identity
41×add-cube-cbrt
9×pow1 add-exp-log add-cbrt-cube
6×sub-neg associate-*r/ associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod
2×expm1-log1p-u flip3-- *-commutative flip-- log1p-expm1-u add-log-exp
1×distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 112
Calls
2 calls:
7.0ms
(* y (- 1.0 y))
9.0ms
(* x (* y (- 1.0 y)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* y (- 1.0 y))
45.0ms
(* x (* y (- 1.0 y)))

simplify52.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03961094
11575666
25002648

prune82.0ms

Filtered
118 candidates to 41 candidates (34.7%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New1180118
Fresh022
Picked011
Done022
Total1185123

Merged error: 0.0b

Counts
123 → 5

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* y y) (* 1.0 y))
1.9b
(* (* x y) (- (pow 1.0 3) (pow y 3)))
9.2b
(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
288×prod-diff
174×add-sqr-sqrt
160×*-un-lft-identity
156×unpow-prod-down cube-prod
150×add-cube-cbrt
146×distribute-rgt-in distribute-lft-in
56×sqr-pow
48×cube-mult unpow3
25×associate-*r*
17×add-exp-log add-cbrt-cube
16×difference-of-squares
8×pow1
6×prod-exp cbrt-unprod
5×distribute-lft-out-- add-log-exp
4×associate-*r/
3×cbrt-undiv expm1-log1p-u times-frac div-exp pow-prod-down associate-/r* log1p-expm1-u
2×sub-neg flip3-- flip3-+ associate-/r/ flip-- flip-+ associate-/l/
1×difference-cubes +-commutative distribute-rgt-out fma-def frac-2neg associate-*l* clear-num sum-log *-commutative div-inv associate-/l*
Counts
3 → 380
Calls
3 calls:
4.0ms
(+ (* y y) (* 1.0 y))
27.0ms
(* (* x y) (- (pow 1.0 3) (pow y 3)))
40.0ms
(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

series306.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(+ (* y y) (* 1.0 y))
96.0ms
(* (* x y) (- (pow 1.0 3) (pow y 3)))
159.0ms
(/ (* (* x y) (- (pow 1.0 3) (pow y 3))) (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))))

simplify89.0ms

Algorithm
egg-herbie
Counts
389 → 389
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
014015288
150013917

prune227.0ms

Filtered
389 candidates to 71 candidates (18.3%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New3890389
Fresh011
Picked011
Done033
Total3895394

Merged error: 0.0b

Counts
394 → 5

regimes56.0ms

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
083
183

end0.0ms

sample377.0ms

Algorithm
intervals
Results
211.0ms10662×body80valid