Details

Time bar (total: 3.3s)

sample11.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1163
2183
3183

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: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(/ (- x y) (- 1.0 y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
37×add-sqr-sqrt *-un-lft-identity
25×times-frac
13×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
5×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-- associate-/r/ flip-- associate-/l/
1×pow1 cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv add-log-exp
Counts
1 → 52
Calls
1 calls:
7.0ms
(/ (- x y) (- 1.0 y))

series40.0ms

Counts
1 → 3
Calls
1 calls:
40.0ms
(/ (- x y) (- 1.0 y))

simplify57.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0252370
1683352
22384352
35001352

prune90.0ms

Filtered
55 candidates to 38 candidates (69.1%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New53255
Fresh000
Picked101
Done000
Total54256

Merged error: 0.0b

Counts
56 → 2

localize5.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
0.0b
(/ y (- 1.0 y))
0.0b
(/ x (- 1.0 y))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
57×add-sqr-sqrt
48×times-frac
25×add-cube-cbrt
20×distribute-lft-out--
14×difference-of-squares
10×associate-/r*
8×associate-/r/
7×add-exp-log add-cbrt-cube
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×div-inv
3×pow1 distribute-rgt-out--
2×cbrt-undiv frac-2neg div-exp clear-num
1×sub-neg diff-log frac-sub sub-div
Counts
3 → 103
Calls
3 calls:
24.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
5.0ms
(/ y (- 1.0 y))
5.0ms
(/ x (- 1.0 y))

series115.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (/ x (- 1.0 y)) (/ y (- 1.0 y)))
34.0ms
(/ y (- 1.0 y))
35.0ms
(/ x (- 1.0 y))

simplify41.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0387679
11233649
25001647

prune205.0ms

Filtered
112 candidates to 85 candidates (75.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1102112
Fresh101
Picked011
Done000
Total1113114

Merged error: 0b

Counts
114 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 y))
0.1b
(/ x (sqrt (- 1.0 y)))
0.1b
(/ 1 (sqrt (- 1.0 y)))
0.1b
(* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
146×add-sqr-sqrt
118×times-frac
105×*-un-lft-identity
86×sqrt-prod
69×add-cube-cbrt
32×add-exp-log
30×associate-*r* associate-*l*
20×add-cbrt-cube
16×associate-/r*
15×distribute-lft-out-- difference-of-squares unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
6×cbrt-undiv associate-/l*
5×flip3-- flip--
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num
1×frac-times rem-sqrt-square associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 220
Calls
4 calls:
3.0ms
(sqrt (- 1.0 y))
6.0ms
(/ x (sqrt (- 1.0 y)))
6.0ms
(/ 1 (sqrt (- 1.0 y)))
26.0ms
(* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))

series192.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(sqrt (- 1.0 y))
81.0ms
(/ x (sqrt (- 1.0 y)))
50.0ms
(/ 1 (sqrt (- 1.0 y)))
29.0ms
(* (/ 1 (sqrt (- 1.0 y))) (/ x (sqrt (- 1.0 y))))

simplify89.0ms

Algorithm
egg-herbie
Counts
232 → 232
Iterations

Useful iterations: 2 (70.0ms)

IterNodesCost
07531922
136731669
250021538

prune405.0ms

Filtered
232 candidates to 131 candidates (56.5%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New2320232
Fresh011
Picked011
Done011
Total2323235

Merged error: 0b

Counts
235 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* y y) (* 1.0 y))
2.1b
(/ x (- (pow 1.0 3) (pow y 3)))
5.0b
(/ y (- (pow 1.0 3) (pow y 3)))
14.4b
(* (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))) (- (/ x (- (pow 1.0 3) (pow y 3))) (/ y (- (pow 1.0 3) (pow y 3)))))

rewrite303.0ms

Algorithm
rewrite-expression-head
Rules
394×add-sqr-sqrt
342×*-un-lft-identity
272×times-frac
204×difference-of-squares
176×unpow-prod-down cube-prod
136×distribute-lft-out--
88×sqr-pow
70×associate-*r*
68×add-cube-cbrt
50×associate-/r*
10×difference-cubes add-exp-log add-cbrt-cube
8×frac-times associate-/r/
7×flip3-- flip--
6×pow1 flip3-+ flip-+ associate-/l* add-log-exp
4×associate-*r/ div-inv
3×distribute-rgt-out-- associate-*l* frac-sub sub-div
2×cbrt-undiv distribute-rgt-in sub-neg frac-2neg distribute-lft-in div-exp associate-*l/ clear-num
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
4 → 349
Calls
4 calls:
4.0ms
(+ (* y y) (* 1.0 y))
15.0ms
(/ x (- (pow 1.0 3) (pow y 3)))
15.0ms
(/ y (- (pow 1.0 3) (pow y 3)))
241.0ms
(* (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))) (- (/ x (- (pow 1.0 3) (pow y 3))) (/ y (- (pow 1.0 3) (pow y 3)))))

series276.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(+ (* y y) (* 1.0 y))
49.0ms
(/ x (- (pow 1.0 3) (pow y 3)))
90.0ms
(/ y (- (pow 1.0 3) (pow y 3)))
88.0ms
(* (+ (* 1.0 1.0) (+ (* y y) (* 1.0 y))) (- (/ x (- (pow 1.0 3) (pow y 3))) (/ y (- (pow 1.0 3) (pow y 3)))))

simplify183.0ms

Algorithm
egg-herbie
Counts
361 → 361
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
09763678
149503552
250023552

prune817.0ms

Filtered
361 candidates to 195 candidates (54.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3610361
Fresh000
Picked011
Done022
Total3613364

Merged error: 0b

Counts
364 → 3

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
075

end0.0ms

sample270.0ms

Algorithm
intervals
Results
147.0ms8000×body80valid