Details

Time bar (total: 1.4s)

sample21.0ms

Algorithm
intervals
Results
7.0ms325×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

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
(/ (- 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))

series12.0ms

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

simplify62.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0221273
1676261
22890261
35002261

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

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (- y x))
0.0b
(+ x (/ 1 (/ z (- y x))))
0.2b
(/ 1 (/ z (- y x)))

rewrite39.0ms

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
8×div-exp
7×div-inv
6×associate-/l*
5×flip3-- flip-- add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ inv-pow
Counts
3 → 158
Calls
3 calls:
5.0ms
(/ z (- y x))
18.0ms
(+ x (/ 1 (/ z (- y x))))
8.0ms
(/ 1 (/ z (- y x)))

series19.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ z (- y x))
5.0ms
(+ x (/ 1 (/ z (- y x))))
7.0ms
(/ 1 (/ z (- y x)))

simplify50.0ms

Algorithm
egg-herbie
Counts
167 → 167
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
04931141
12183916
25001901

prune92.0ms

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

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity sqrt-prod
28×add-sqr-sqrt
21×pow1
16×sqrt-div
14×add-cube-cbrt
11×swap-sqr
10×sqrt-pow1 pow1/2
9×flip3-+ flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log add-cbrt-cube add-log-exp
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*r/ associate-*l/
1×+-commutative pow2 associate-+r- pow-plus sqrt-unprod div-sub prod-exp sum-log rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
8.0ms
(+ x (/ (- y x) z))
8.0ms
(sqrt (+ x (/ (- y x) z)))
8.0ms
(sqrt (+ x (/ (- y x) z)))
22.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

series91.0ms

Counts
4 → 12
Calls
4 calls:
6.0ms
(+ x (/ (- y x) z))
37.0ms
(sqrt (+ x (/ (- y x) z)))
42.0ms
(sqrt (+ x (/ (- y x) z)))
6.0ms
(* (sqrt (+ x (/ (- y x) z))) (sqrt (+ x (/ (- y x) z))))

simplify37.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0223787
1845725
25001705

prune77.0ms

Filtered
66 candidates to 119 candidates (-80.3%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New1190119
Fresh000
Picked011
Done022
Total1193122

Merged error: 0b

Counts
122 → 3

regimes175.0ms

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

sample558.0ms

Algorithm
intervals
Results
232.0ms10206×body80valid

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