Details

Time bar (total: 2.0s)

analyze283.0ms

Algorithm
search

sample17.0ms

Algorithm
intervals
Results
7.0ms256×body80valid
1.0ms43×body80invalid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903

prune3.0ms

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 2 expressions with local error:

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

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
associate-/l*
add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
associate-/r*
pow1 div-sub associate-/l/
cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 51
Calls
2 calls:
8.0ms
(+ x (/ (- y x) z))
5.0ms
(/ (- y x) z)

series12.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(+ x (/ (- y x) z))
6.0ms
(/ (- y x) z)

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0221273
1676261
22890261
35001261

prune53.0ms

Filtered
40 candidates to 57 candidates (-42.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New55257
Fresh000
Picked011
Done000
Total55358

Merged error: 0b

Counts
58 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- y x))
0.0b
(+ x (/ 1 (/ z (- y x))))
0.7b
(/ 1 (/ z (- y x)))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
106×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×add-exp-log distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-cbrt-cube
div-exp
div-inv
associate-/l*
flip3-- flip-- add-log-exp
pow1 cbrt-undiv
rec-exp frac-2neg 1-exp clear-num distribute-lft-out
+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 158
Calls
3 calls:
5.0ms
(/ z (- y x))
19.0ms
(+ x (/ 1 (/ z (- y x))))
8.0ms
(/ 1 (/ z (- y x)))

series20.0ms

Counts
3 → 9
Calls
3 calls:
8.0ms
(/ z (- y x))
6.0ms
(+ x (/ 1 (/ z (- y x))))
7.0ms
(/ 1 (/ z (- y x)))

simplify78.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
04931141
12183916
25001901

prune98.0ms

Filtered
84 candidates to 167 candidates (-98.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1670167
Fresh011
Picked011
Done011
Total1673170

Merged error: 0b

Counts
170 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y x) z)
0.2b
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
2.6b
(sqrt (/ (- y x) z))
2.6b
(sqrt (/ (- y x) z))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
154×add-sqr-sqrt
140×sqrt-prod
138×*-un-lft-identity
125×times-frac
76×add-cube-cbrt
30×swap-sqr
28×distribute-lft-out--
22×associate-*r* associate-*l* difference-of-squares
21×pow1
10×sqrt-pow1 pow1/2
unswap-sqr
add-exp-log add-cbrt-cube
div-inv
sqrt-div
pow-prod-up associate-/l*
rem-sqrt-square add-log-exp
pow-prod-down associate-/r* pow-sqr
associate-/l/
cbrt-undiv pow2 frac-times flip3-- frac-2neg pow-plus sqrt-unprod div-sub associate-*r/ div-exp associate-*l/ prod-exp clear-num rem-square-sqrt *-commutative flip-- cbrt-unprod
Counts
4 → 211
Calls
4 calls:
5.0ms
(/ (- y x) z)
23.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
5.0ms
(sqrt (/ (- y x) z))
5.0ms
(sqrt (/ (- y x) z))

series74.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (- y x) z)
27.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
20.0ms
(sqrt (/ (- y x) z))
21.0ms
(sqrt (/ (- y x) z))

simplify64.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
03791374
118191291
250011272

prune152.0ms

Filtered
141 candidates to 223 candidates (-58.2%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New2230223
Fresh000
Picked011
Done022
Total2233226

Merged error: 0b

Counts
226 → 3

regimes185.0ms

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
073
173

end0.0ms

analyze281.0ms

Algorithm
search

sample443.0ms

Algorithm
intervals
Results
221.0ms8000×body80valid
35.0ms1342×body80invalid

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