Details

Time bar (total: 2.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms264×body80valid

simplify7.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(/ (- x y) (- z y))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(/ (- x y) (- z y))

simplify50.0ms

Algorithm
egg-herbie
Counts
55 → 55
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0223354
1618340
22045340
35001340

prune86.0ms

Filtered
55 candidates to 37 candidates (67.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New52355
Fresh000
Picked011
Done000
Total52456

Merged error: 0b

Counts
56 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- z y))
0.3b
(* (- x y) (/ 1 (- z y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
5×pow1 associate-*l* associate-/r*
4×flip3-- div-exp prod-exp associate-/r/ flip--
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ cbrt-unprod div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative inv-pow
Counts
2 → 91
Calls
2 calls:
5.0ms
(/ 1 (- z y))
17.0ms
(* (- x y) (/ 1 (- z y)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ 1 (- z y))
47.0ms
(* (- x y) (/ 1 (- z y)))

simplify41.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0295486
11355423
25001377

prune110.0ms

Filtered
97 candidates to 55 candidates (56.7%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done011
Total974101

Merged error: 0b

Counts
101 → 4

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- z y) (- x y))
0.3b
(/ 1 (/ (- z y) (- x y)))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
218×times-frac
194×add-sqr-sqrt *-un-lft-identity
90×add-cube-cbrt
52×distribute-lft-out-- difference-of-squares
36×associate-/r*
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×flip3-- flip-- div-inv
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×pow-flip div-sub inv-pow
Counts
2 → 200
Calls
2 calls:
8.0ms
(/ (- z y) (- x y))
12.0ms
(/ 1 (/ (- z y) (- x y)))

series179.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (- z y) (- x y))
131.0ms
(/ 1 (/ (- z y) (- x y)))

simplify69.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
05841790
126781621
250021454

prune197.0ms

Filtered
206 candidates to 92 candidates (44.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New2060206
Fresh011
Picked011
Done022
Total2064210

Merged error: 0b

Counts
210 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- x y) (- z y))
0.2b
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
3.3b
(sqrt (/ (- x y) (- z y)))
3.3b
(sqrt (/ (- x y) (- z y)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
338×*-un-lft-identity
288×add-sqr-sqrt
248×sqrt-prod
231×times-frac
108×distribute-lft-out--
94×add-cube-cbrt
80×difference-of-squares
60×swap-sqr
34×associate-*r* associate-*l*
21×pow1
14×associate-/r/
10×sqrt-pow1 pow1/2
9×unswap-sqr
8×add-exp-log flip3-- add-cbrt-cube flip--
7×div-inv
6×sqrt-div
5×associate-/r* pow-prod-up associate-/l*
4×rem-sqrt-square add-log-exp
3×pow-prod-down pow-sqr
2×associate-/l/
1×cbrt-undiv pow2 frac-times frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 303
Calls
4 calls:
8.0ms
(/ (- x y) (- z y))
36.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
8.0ms
(sqrt (/ (- x y) (- z y)))
8.0ms
(sqrt (/ (- x y) (- z y)))

series302.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (- x y) (- z y))
50.0ms
(* (sqrt (/ (- x y) (- z y))) (sqrt (/ (- x y) (- z y))))
102.0ms
(sqrt (/ (- x y) (- z y)))
104.0ms
(sqrt (/ (- x y) (- z y)))

simplify136.0ms

Algorithm
egg-herbie
Counts
315 → 315
Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
04752525
121982410
250012378

prune495.0ms

Filtered
315 candidates to 184 candidates (58.4%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New3150315
Fresh000
Picked011
Done033
Total3154319

Merged error: 0b

Counts
319 → 4

regimes65.0ms

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
063

end0.0ms

sample360.0ms

Algorithm
intervals
Results
197.0ms8347×body80valid