Details

Time bar (total: 4.4s)

sample13.0ms

Algorithm
intervals
Results
5.0ms295×body80valid

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
082
1152
2152

prune1.0ms

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: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* y z))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* y z))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(- x (* y z))

simplify53.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
07358
120953
264353
3159953
4500153

prune25.0ms

Filtered
15 candidates to 12 candidates (80.0%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New14115
Fresh000
Picked011
Done000
Total14216

Merged error: 0.0b

Counts
16 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (* y z) (+ (* y z) x)) (* x x))
3.1b
(* (* y z) (+ (* y z) x))
3.8b
(- (pow x 3) (pow (* y z) 3))
42.5b
(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
73×add-sqr-sqrt
40×difference-of-squares
39×times-frac
33×*-un-lft-identity
30×sqr-pow
23×add-cube-cbrt
13×associate-/l*
11×add-exp-log add-cbrt-cube
10×unpow-prod-down cube-prod
9×pow1
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+l+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 129
Calls
4 calls:
9.0ms
(+ (* (* y z) (+ (* y z) x)) (* x x))
8.0ms
(* (* y z) (+ (* y z) x))
9.0ms
(- (pow x 3) (pow (* y z) 3))
19.0ms
(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

series328.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(+ (* (* y z) (+ (* y z) x)) (* x x))
33.0ms
(* (* y z) (+ (* y z) x))
141.0ms
(- (pow x 3) (pow (* y z) 3))
102.0ms
(/ (- (pow x 3) (pow (* y z) 3)) (+ (* (* y z) (+ (* y z) x)) (* x x)))

simplify103.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (81.0ms)

IterNodesCost
05621917
130231833
250021831

prune311.0ms

Filtered
141 candidates to 103 candidates (73.0%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1392141
Fresh000
Picked101
Done011
Total1403143

Merged error: 0.0b

Counts
143 → 3

localize16.0ms

Local error

Found 4 expressions with local error:

3.1b
(* (* y z) (+ (* y z) x))
3.1b
(* (* y z) (+ (* y z) x))
30.2b
(/ (- x (* y z)) (+ (* (* y z) (+ (* y z) x)) (* x x)))
30.2b
(* (+ (* (* y z) (+ (* y z) x)) (pow x 2)) (/ (- x (* y z)) (+ (* (* y z) (+ (* y z) x)) (* x x))))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
21×add-exp-log associate-*r* add-cbrt-cube
19×times-frac
16×pow1
8×prod-exp cbrt-unprod
7×pow-prod-down
6×flip3-+ flip-+
5×associate-*r/ associate-*l*
4×associate-/r/ add-log-exp
3×associate-/r* *-commutative associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times distribute-lft-in div-exp associate-*l/ div-inv associate-/l/ unswap-sqr
1×flip3-- frac-2neg div-sub clear-num flip--
Counts
4 → 114
Calls
4 calls:
8.0ms
(* (* y z) (+ (* y z) x))
8.0ms
(* (* y z) (+ (* y z) x))
13.0ms
(/ (- x (* y z)) (+ (* (* y z) (+ (* y z) x)) (* x x)))
26.0ms
(* (+ (* (* y z) (+ (* y z) x)) (pow x 2)) (/ (- x (* y z)) (+ (* (* y z) (+ (* y z) x)) (* x x))))

series170.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* (* y z) (+ (* y z) x))
35.0ms
(* (* y z) (+ (* y z) x))
79.0ms
(/ (- x (* y z)) (+ (* (* y z) (+ (* y z) x)) (* x x)))
25.0ms
(* (+ (* (* y z) (+ (* y z) x)) (pow x 2)) (/ (- x (* y z)) (+ (* (* y z) (+ (* y z) x)) (* x x))))

simplify108.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05121574
132981405
250011405

prune257.0ms

Filtered
126 candidates to 88 candidates (69.8%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh011
Picked011
Done011
Total1263129

Merged error: 0.0b

Counts
129 → 3

localize28.0ms

Local error

Found 4 expressions with local error:

6.1b
(- (pow (pow x 3) 3) (pow (pow (* y z) 3) 3))
6.8b
(+ (+ (pow x 6) (pow (* y z) 6)) (* (pow x 3) (pow (* y z) 3)))
16.3b
(* (pow x 3) (pow (* y z) 3))
55.4b
(/ (- (pow (pow x 3) 3) (pow (pow (* y z) 3) 3)) (* (+ (+ (pow x 6) (pow (* y z) 6)) (* (pow x 3) (pow (* y z) 3))) (+ (* (* y z) (+ (* y z) x)) (* x x))))

rewrite134.0ms

Algorithm
rewrite-expression-head
Rules
236×add-sqr-sqrt
186×unpow-prod-down cube-prod
180×difference-of-squares
152×sqr-pow
69×times-frac associate-/l*
40×*-un-lft-identity
29×add-exp-log
16×prod-exp
15×distribute-lft-out--
12×associate-*l*
11×add-cbrt-cube add-log-exp
10×add-cube-cbrt pow-exp
8×associate-*r* associate-/r/ unswap-sqr
7×pow-to-exp flip3-+ flip-+
4×pow1 frac-times
3×difference-cubes sum-log
2×cbrt-undiv cube-mult flip3-- unpow3 associate-*r/ div-exp associate-*l/ flip-- cbrt-unprod associate-/l/
1×+-commutative sub-neg associate-+l+ frac-2neg diff-log div-sub pow-prod-down clear-num associate-/r* *-commutative div-inv
Counts
4 → 305
Calls
4 calls:
33.0ms
(- (pow (pow x 3) 3) (pow (pow (* y z) 3) 3))
10.0ms
(+ (+ (pow x 6) (pow (* y z) 6)) (* (pow x 3) (pow (* y z) 3)))
12.0ms
(* (pow x 3) (pow (* y z) 3))
58.0ms
(/ (- (pow (pow x 3) 3) (pow (pow (* y z) 3) 3)) (* (+ (+ (pow x 6) (pow (* y z) 6)) (* (pow x 3) (pow (* y z) 3))) (+ (* (* y z) (+ (* y z) x)) (* x x))))

series1.2s

Counts
4 → 12
Calls
4 calls:
416.0ms
(- (pow (pow x 3) 3) (pow (pow (* y z) 3) 3))
506.0ms
(+ (+ (pow x 6) (pow (* y z) 6)) (* (pow x 3) (pow (* y z) 3)))
122.0ms
(* (pow x 3) (pow (* y z) 3))
183.0ms
(/ (- (pow (pow x 3) 3) (pow (pow (* y z) 3) 3)) (* (+ (+ (pow x 6) (pow (* y z) 6)) (* (pow x 3) (pow (* y z) 3))) (+ (* (* y z) (+ (* y z) x)) (* x x))))

simplify230.0ms

Algorithm
egg-herbie
Counts
317 → 317
Iterations

Useful iterations: 1 (29.0ms)

IterNodesCost
08666159
146395951
250025951

prune792.0ms

Filtered
317 candidates to 149 candidates (47.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New3170317
Fresh000
Picked011
Done022
Total3173320

Merged error: 0.0b

Counts
320 → 3

regimes95.0ms

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
062
162

end0.0ms

sample359.0ms

Algorithm
intervals
Results
181.0ms9155×body80valid

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