Details

Time bar (total: 3.9s)

sample23.0ms

Algorithm
intervals
Results
7.0ms323×body80valid

simplify15.0ms

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

prune4.0ms

Filtered
1 candidates to 0 candidates (100.0%)
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 2 expressions with local error:

0.0b
(/ (- y x) z)
0.0b
(+ x (/ (- 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
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 div-sub associate-/l/
1×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:
5.0ms
(/ (- y x) z)
8.0ms
(+ x (/ (- y x) z))

series58.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(/ (- y x) z)
29.0ms
(+ x (/ (- y x) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0221273
1676261
22890261
35002261

prune139.0ms

Filtered
57 candidates to 40 candidates (29.8%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New54357
Fresh000
Picked101
Done000
Total55358

Merged error: 0.0b

Counts
58 → 3

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity add-log-exp
7×add-sqr-sqrt
2×pow1 add-exp-log add-cube-cbrt flip3-+ diff-log sum-log frac-sub add-cbrt-cube flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares
1×+-commutative sub-neg flip3-- times-frac associate--l+ flip--
Counts
2 → 32
Calls
2 calls:
13.0ms
(- (+ x (/ y z)) (/ x z))
5.0ms
(+ x (/ y z))

series42.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(- (+ x (/ y z)) (/ x z))
18.0ms
(+ x (/ y z))

simplify42.0ms

Algorithm
egg-herbie
Counts
38 → 38
Iterations

Useful iterations: 2 (12.0ms)

IterNodesCost
0163232
1498222
21742217
35001217

prune71.0ms

Filtered
38 candidates to 25 candidates (34.2%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New38038
Fresh022
Picked011
Done000
Total38341

Merged error: 0.0b

Counts
41 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
0.6b
(cbrt (+ x (/ (- y x) z)))
0.6b
(cbrt (+ x (/ (- y x) z)))
0.6b
(cbrt (+ x (/ (- y x) z)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube 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 → 95
Calls
4 calls:
19.0ms
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
8.0ms
(cbrt (+ x (/ (- y x) z)))
8.0ms
(cbrt (+ x (/ (- y x) z)))
10.0ms
(cbrt (+ x (/ (- y x) z)))

series892.0ms

Counts
4 → 12
Calls
4 calls:
314.0ms
(* (cbrt (+ x (/ (- y x) z))) (cbrt (+ x (/ (- y x) z))))
197.0ms
(cbrt (+ x (/ (- y x) z)))
191.0ms
(cbrt (+ x (/ (- y x) z)))
190.0ms
(cbrt (+ x (/ (- y x) z)))

simplify149.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
02811163
19271097
248511002
350011002

prune333.0ms

Filtered
107 candidates to 75 candidates (29.9%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1070107
Fresh011
Picked011
Done011
Total1073110

Merged error: 0.0b

Counts
110 → 3

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- y x))
0.0b
(+ x (* (sqrt (- y x)) (/ (sqrt (- y x)) z)))
0.1b
(/ (sqrt (- y x)) z)
0.2b
(* (sqrt (- y x)) (/ (sqrt (- y x)) z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
74×add-sqr-sqrt
57×*-un-lft-identity
52×times-frac
50×sqrt-prod
39×add-cube-cbrt
28×associate-*r*
11×add-exp-log add-cbrt-cube
9×distribute-lft-out-- difference-of-squares
8×sqrt-div associate-*l* associate-/l*
7×pow1
6×add-log-exp unswap-sqr
4×flip3-- flip--
3×associate-/r*
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/
1×+-commutative rem-sqrt-square frac-2neg sqrt-pow1 flip3-+ pow1/2 associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
4 → 137
Calls
4 calls:
3.0ms
(sqrt (- y x))
3.0ms
(+ x (* (sqrt (- y x)) (/ (sqrt (- y x)) z)))
6.0ms
(/ (sqrt (- y x)) z)
18.0ms
(* (sqrt (- y x)) (/ (sqrt (- y x)) z))

series425.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(sqrt (- y x))
24.0ms
(+ x (* (sqrt (- y x)) (/ (sqrt (- y x)) z)))
168.0ms
(/ (sqrt (- y x)) z)
31.0ms
(* (sqrt (- y x)) (/ (sqrt (- y x)) z))

simplify55.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04381084
11731966
25001915

prune725.0ms

Filtered
149 candidates to 99 candidates (33.6%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh000
Picked011
Done022
Total1493152

Merged error: 0.0b

Counts
152 → 3

regimes178.0ms

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
084
184

end0.0ms

sample559.0ms

Algorithm
intervals
Results
216.0ms10140×body80valid

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