Details

Time bar (total: 2.6s)

sample21.0ms

Algorithm
intervals
Results
6.0ms321×body80valid

simplify129.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0153
1253
2363
3403
4463
5583
6933
71303
81633
92733
105073
1116183
1250013

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

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* y (+ z x))
0.0b
(+ x (* y (+ z x)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
5.0ms
(* y (+ z x))
3.0ms
(+ x (* y (+ z x)))

series60.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* y (+ z x))
31.0ms
(+ x (* y (+ z x)))

simplify96.0ms

Algorithm
egg-herbie
Counts
42 → 42
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0186164
1769149
23884149
35001149

prune86.0ms

Filtered
42 candidates to 28 candidates (33.3%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New39342
Fresh000
Picked011
Done000
Total39443

Merged error: 0.0b

Counts
43 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (+ x (* z y)) (* y x))
0.0b
(+ x (* z y))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
5.0ms
(+ (+ x (* z y)) (* y x))
3.0ms
(+ x (* z y))

series64.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(+ (+ x (* z y)) (* y x))
30.0ms
(+ x (* z y))

simplify65.0ms

Algorithm
egg-herbie
Counts
30 → 30
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0160155
1624139
22460136
35001136

prune58.0ms

Filtered
30 candidates to 23 candidates (23.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New30030
Fresh022
Picked011
Done011
Total30434

Merged error: 0.0b

Counts
34 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
0.1b
(* y (sqrt (+ z x)))
0.1b
(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
14×sqrt-div associate-*r*
12×add-sqr-sqrt *-un-lft-identity
10×pow1 add-exp-log associate-*r/ add-cbrt-cube
9×sqrt-prod
8×add-cube-cbrt flip3-+ flip-+
5×add-log-exp
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/ *-commutative distribute-lft-out unswap-sqr
1×+-commutative sum-log
Counts
3 → 66
Calls
3 calls:
2.0ms
(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
6.0ms
(* y (sqrt (+ z x)))
11.0ms
(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

series258.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(+ x (* (* y (sqrt (+ z x))) (sqrt (+ z x))))
100.0ms
(* y (sqrt (+ z x)))
91.0ms
(* (* y (sqrt (+ z x))) (sqrt (+ z x)))

simplify56.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0416547
11965459
25001448

prune266.0ms

Filtered
75 candidates to 49 candidates (34.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh101
Picked011
Done022
Total75479

Merged error: 0.0b

Counts
79 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* x (- x z)) (pow z 2))
2.8b
(+ (pow z 3) (pow x 3))
3.9b
(* (+ (pow z 3) (pow x 3)) y)
35.3b
(/ (* (+ (pow z 3) (pow x 3)) y) (+ (* x (- x z)) (pow z 2)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
11×add-exp-log add-cbrt-cube
10×add-sqr-sqrt distribute-lft-out
9×associate-*l*
8×add-cube-cbrt unpow-prod-down cube-prod add-log-exp
6×pow1
5×flip3-+ flip-+
4×associate-+l+ associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv +-commutative distribute-rgt-in sub-neg distribute-lft-in div-exp prod-exp sum-log associate-/r/ sum-cubes cbrt-unprod associate-/l/
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 83
Calls
4 calls:
7.0ms
(+ (* x (- x z)) (pow z 2))
10.0ms
(+ (pow z 3) (pow x 3))
12.0ms
(* (+ (pow z 3) (pow x 3)) y)
18.0ms
(/ (* (+ (pow z 3) (pow x 3)) y) (+ (* x (- x z)) (pow z 2)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(+ (* x (- x z)) (pow z 2))
60.0ms
(+ (pow z 3) (pow x 3))
60.0ms
(* (+ (pow z 3) (pow x 3)) y)
81.0ms
(/ (* (+ (pow z 3) (pow x 3)) y) (+ (* x (- x z)) (pow z 2)))

simplify52.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0343692
11876592
25002592

prune350.0ms

Filtered
95 candidates to 61 candidates (35.8%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New95095
Fresh000
Picked011
Done033
Total95499

Merged error: 0.0b

Counts
99 → 4

regimes192.0ms

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
0114
1114

end0.0ms

sample535.0ms

Algorithm
intervals
Results
210.0ms10123×body80valid

Profiling

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