Details

Time bar (total: 2.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms317×body80valid

simplify197.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0144
1344
2844
32064
44064
55404
67064
79574
814584
923844
1036584
1140314
1244294
1350024

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 4.9b

Counts
2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (- 1.0 y) z)
4.6b
(* x (- 1.0 (* (- 1.0 y) z)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
*-un-lft-identity associate-*l*
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-*r/ pow-prod-down associate-*l/ prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
distribute-lft-out-- difference-of-squares
Counts
2 → 46
Calls
2 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

series79.0ms

Counts
2 → 6
Calls
2 calls:
29.0ms
(* (- 1.0 y) z)
49.0ms
(* x (- 1.0 (* (- 1.0 y) z)))

simplify97.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (28.0ms)

IterNodesCost
0211251
1863221
23970215
35001215

prune78.0ms

Filtered
52 candidates to 33 candidates (63.5%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New49352
Fresh000
Picked011
Done000
Total49453

Merged error: 0.0b

Counts
53 → 4

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* (* x z) (- y 1.0)))
2.1b
(* (* x z) (- y 1.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity associate-*r*
distribute-rgt-in sub-neg associate-+r+ distribute-lft-in add-log-exp
add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
associate-*r/
+-commutative flip3-- flip3-+ associate-*l* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 41
Calls
2 calls:
4.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
8.0ms
(* (* x z) (- y 1.0))

series114.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (* x 1.0) (* (* x z) (- y 1.0)))
48.0ms
(* (* x z) (- y 1.0))

simplify43.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0257266
11177224
25002219

prune67.0ms

Filtered
47 candidates to 30 candidates (63.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New47047
Fresh022
Picked011
Done011
Total47451

Merged error: 0.0b

Counts
51 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.8b
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
3.1b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×pow1 add-exp-log
13×add-sqr-sqrt
11×add-cbrt-cube
10×cbrt-prod distribute-rgt-in distribute-lft-in
add-cube-cbrt *-un-lft-identity pow-prod-down prod-exp cbrt-unprod
associate-*l*
sub-neg associate-*r/
associate-*r* add-log-exp
flip3-- pow1/3 *-commutative flip-- unswap-sqr
Counts
4 → 82
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
6.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
11.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

series531.0ms

Counts
4 → 12
Calls
4 calls:
178.0ms
(cbrt x)
178.0ms
(cbrt x)
106.0ms
(* (cbrt x) (- 1.0 (* (- 1.0 y) z)))
68.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- 1.0 (* (- 1.0 y) z))))

simplify56.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0334759
11439577
25001488

prune160.0ms

Filtered
94 candidates to 58 candidates (61.7%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh011
Picked011
Done022
Total94498

Merged error: 0.0b

Counts
98 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1.0 y) z)
0.2b
(pow (* x (- 1.0 (* (- 1.0 y) z))) 3)
4.6b
(* x (- 1.0 (* (- 1.0 y) z)))
38.4b
(cbrt (pow (* x (- 1.0 (* (- 1.0 y) z))) 3))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
12×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×add-cube-cbrt
cbrt-prod associate-*l*
associate-*r/ associate-*r*
cube-div flip3-- flip-- add-log-exp
pow-unpow pow-prod-down prod-exp cbrt-unprod
distribute-rgt-in cube-mult sub-neg unpow-prod-down cbrt-div pow-pow distribute-lft-in unpow3 cube-prod associate-*l/ pow-exp *-commutative rem-cube-cbrt unswap-sqr sqr-pow
pow-to-exp pow1/3 rem-cbrt-cube distribute-lft-out-- difference-of-squares
Counts
4 → 89
Calls
4 calls:
6.0ms
(* (- 1.0 y) z)
5.0ms
(pow (* x (- 1.0 (* (- 1.0 y) z))) 3)
5.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
3.0ms
(cbrt (pow (* x (- 1.0 (* (- 1.0 y) z))) 3))

series225.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(* (- 1.0 y) z)
78.0ms
(pow (* x (- 1.0 (* (- 1.0 y) z))) 3)
46.0ms
(* x (- 1.0 (* (- 1.0 y) z)))
71.0ms
(cbrt (pow (* x (- 1.0 (* (- 1.0 y) z))) 3))

simplify60.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0394608
11863565
25003564

prune179.0ms

Filtered
101 candidates to 68 candidates (67.3%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New1010101
Fresh000
Picked011
Done033
Total1014105

Merged error: 0.0b

Counts
105 → 4

regimes227.0ms

Accuracy

96.9% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 1.7b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02813
12813

end0.0ms

sample429.0ms

Algorithm
intervals
Results
232.0ms10135×body80valid

Profiling

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