Details

Time bar (total: 1.8s)

sample24.0ms

Algorithm
intervals
Results
7.0ms315×body80valid

simplify21.0ms

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

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))

series13.0ms

Counts
2 → 6
Calls
2 calls:
6.0ms
(/ (- y x) z)
7.0ms
(+ x (/ (- y x) z))

simplify59.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0221273
1676261
22890261
35002261

prune57.0ms

Filtered
57 candidates to 40 candidates (29.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New54357
Fresh000
Picked011
Done000
Total54458

Merged error: 0b

Counts
58 → 4

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(* (cbrt z) (cbrt z))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
31×cbrt-prod
29×add-sqr-sqrt
21×*-un-lft-identity
15×add-cube-cbrt
11×pow1
9×pow1/3
6×add-exp-log cbrt-div swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×flip3-- flip-- distribute-lft-out-- difference-of-squares
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 85
Calls
4 calls:
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
3.0ms
(cbrt (- y x))
5.0ms
(* (cbrt z) (cbrt z))

series105.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (- y x))
29.0ms
(cbrt (- y x))
25.0ms
(cbrt (- y x))
26.0ms
(* (cbrt z) (cbrt z))

simplify99.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0263529
1763500
23279439
35002424

prune92.0ms

Filtered
97 candidates to 66 candidates (32.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done011
Total974101

Merged error: 0b

Counts
101 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
53×*-un-lft-identity
52×times-frac
45×sqrt-prod
37×add-cube-cbrt
28×associate-*r*
10×add-exp-log add-cbrt-cube
8×associate-*l* associate-/l* distribute-lft-out-- difference-of-squares
6×sqrt-div unswap-sqr
5×pow1 add-log-exp
3×flip3-- associate-/r* flip--
2×cbrt-undiv frac-times div-exp associate-*l/ prod-exp cbrt-unprod div-inv associate-/l/
1×+-commutative frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-+
Counts
3 → 120
Calls
3 calls:
2.0ms
(+ x (* (sqrt (- y x)) (/ (sqrt (- y x)) z)))
6.0ms
(/ (sqrt (- y x)) z)
15.0ms
(* (sqrt (- y x)) (/ (sqrt (- y x)) z))

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(+ x (* (sqrt (- y x)) (/ (sqrt (- y x)) z)))
19.0ms
(/ (sqrt (- y x)) z)
6.0ms
(* (sqrt (- y x)) (/ (sqrt (- y x)) z))

simplify51.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0406989
11583872
25001823

prune91.0ms

Filtered
129 candidates to 83 candidates (35.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1290129
Fresh011
Picked011
Done022
Total1294133

Merged error: 0b

Counts
133 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- y x) z)
0.3b
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
3.0b
(sqrt (/ (- y x) z))
3.0b
(sqrt (/ (- y x) z))

rewrite49.0ms

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
9×unswap-sqr
8×add-exp-log add-cbrt-cube
7×div-inv
6×sqrt-div
5×pow-prod-up associate-/l*
4×rem-sqrt-square add-log-exp
3×pow-prod-down associate-/r* pow-sqr
2×associate-/l/
1×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)
20.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
7.0ms
(sqrt (/ (- y x) z))
5.0ms
(sqrt (/ (- y x) z))

series74.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(/ (- y x) z)
24.0ms
(* (sqrt (/ (- y x) z)) (sqrt (/ (- y x) z)))
24.0ms
(sqrt (/ (- y x) z))
21.0ms
(sqrt (/ (- y x) z))

simplify67.0ms

Algorithm
egg-herbie
Counts
223 → 223
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
03791380
119361291
250031272

prune147.0ms

Filtered
223 candidates to 139 candidates (37.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2230223
Fresh000
Picked011
Done033
Total2234227

Merged error: 0b

Counts
227 → 4

regimes186.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
073
173

end0.0ms

sample540.0ms

Algorithm
intervals
Results
240.0ms10002×body80valid

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