Details

Time bar (total: 7.5s)

sample21.0ms

Algorithm
intervals
Results
9.0ms339×body80valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1103

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: 0.0b

Counts
2 → 1

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ sum-log add-cbrt-cube flip-+
Counts
1 → 11
Calls
1 calls:
3.0ms
(+ (* x y) (* z t))

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(+ (* x y) (* z t))

simplify117.0ms

Algorithm
egg-herbie
Counts
14 → 14
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
010074
136367
2105167
3293167
4500167

prune39.0ms

Filtered
14 candidates to 12 candidates (85.7%)
Pruning

2 alts after pruning (1 fresh and 1 done)

PrunedKeptTotal
New13114
Fresh000
Picked011
Done000
Total13215

Merged error: 0.0b

Counts
15 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
2.2b
(* (* z t) (- (* z t) (* x y)))
2.5b
(+ (pow (* x y) 3) (pow (* z t) 3))
35.3b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
25×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt times-frac
11×add-exp-log add-cbrt-cube
9×pow1
8×add-log-exp
5×sum-cubes distribute-lft-out associate-/l*
4×distribute-rgt-in sub-neg associate-+l+ distribute-lft-in flip3-+ flip-+
3×associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod
2×+-commutative associate-*r/ sum-log associate-/r/ associate-/l/
1×cbrt-undiv flip3-- frac-2neg div-exp associate-*l* clear-num *-commutative flip-- div-inv
Counts
4 → 91
Calls
4 calls:
9.0ms
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
7.0ms
(* (* z t) (- (* z t) (* x y)))
7.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
16.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series477.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
56.0ms
(* (* z t) (- (* z t) (* x y)))
197.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
134.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify111.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (95.0ms)

IterNodesCost
04371484
125621357
250011352

prune235.0ms

Filtered
103 candidates to 71 candidates (68.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh000
Picked101
Done011
Total1023105

Merged error: 0.0b

Counts
105 → 3

localize26.0ms

Local error

Found 4 expressions with local error:

2.5b
(+ (pow (* x y) 3) (pow (* z t) 3))
9.0b
(- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1))
25.0b
(* (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1))) (- (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
41.3b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1)))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
363×add-sqr-sqrt
298×*-un-lft-identity
180×difference-of-squares
108×associate-*l*
72×sqr-pow
58×add-cube-cbrt
42×sum-cubes distribute-lft-out
26×div-inv
20×associate-/r*
12×distribute-rgt-out-- distribute-lft-out--
11×add-exp-log add-cbrt-cube
10×distribute-rgt-in distribute-lft-in
8×associate--l+ associate-/r/ add-log-exp
7×sub-neg
6×pow1
5×flip3-- flip-- associate-/l*
3×associate-*r* frac-sub sub-div
2×cbrt-undiv frac-times flip3-+ associate-*r/ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ unswap-sqr
1×+-commutative frac-2neg diff-log pow-prod-down associate-*l/ clear-num sum-log *-commutative
Counts
4 → 330
Calls
4 calls:
7.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
20.0ms
(- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1))
54.0ms
(* (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1))) (- (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
32.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1)))

series1.0s

Counts
4 → 12
Calls
4 calls:
198.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
467.0ms
(- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1))
250.0ms
(* (/ (+ (pow (* x y) 3) (pow (* z t) 3)) (- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1))) (- (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
118.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (- (/ (* (* (* z t) (- (* z t) (* x y))) (* (* z t) (- (* z t) (* x y)))) 1) (/ (pow (* x y) 4) 1)))

simplify114.0ms

Algorithm
egg-herbie
Counts
342 → 342
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
0109010834
150029955

prune996.0ms

Filtered
342 candidates to 203 candidates (59.4%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New3420342
Fresh011
Picked011
Done011
Total3423345

Merged error: 0.0b

Counts
345 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* z t) (- (* z t) (* x y)))
8.1b
(- (pow (* x y) 6) (pow (* z t) 6))
35.3b
(/ (/ (- (pow (* x y) 6) (pow (* z t) 6)) (- (pow (* x y) 3) (pow (* z t) 3))) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
46.5b
(/ (- (pow (* x y) 6) (pow (* z t) 6)) (- (pow (* x y) 3) (pow (* z t) 3)))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
594×times-frac
527×add-sqr-sqrt
352×difference-of-squares sqr-pow
351×*-un-lft-identity
175×add-cube-cbrt
88×distribute-lft-out--
86×associate-/l*
41×difference-cubes
16×add-exp-log add-cbrt-cube
12×associate-/r* associate-/r/
9×pow1
8×flip3-- flip--
6×div-inv add-log-exp
4×cbrt-undiv div-exp
3×sub-neg div-sub associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l/
2×distribute-rgt-in frac-2neg distribute-lft-in associate-*r/ clear-num
1×flip3-+ diff-log associate-*l* *-commutative flip-+
Counts
4 → 480
Calls
4 calls:
7.0ms
(* (* z t) (- (* z t) (* x y)))
5.0ms
(- (pow (* x y) 6) (pow (* z t) 6))
31.0ms
(/ (/ (- (pow (* x y) 6) (pow (* z t) 6)) (- (pow (* x y) 3) (pow (* z t) 3))) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
17.0ms
(/ (- (pow (* x y) 6) (pow (* z t) 6)) (- (pow (* x y) 3) (pow (* z t) 3)))

series1.3s

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (* z t) (- (* z t) (* x y)))
655.0ms
(- (pow (* x y) 6) (pow (* z t) 6))
203.0ms
(/ (/ (- (pow (* x y) 6) (pow (* z t) 6)) (- (pow (* x y) 3) (pow (* z t) 3))) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))
356.0ms
(/ (- (pow (* x y) 6) (pow (* z t) 6)) (- (pow (* x y) 3) (pow (* z t) 3)))

simplify171.0ms

Algorithm
egg-herbie
Counts
492 → 492
Iterations

Useful iterations: 1 (38.0ms)

IterNodesCost
0183715669
1500215261

prune1.8s

Filtered
492 candidates to 374 candidates (76.0%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New4920492
Fresh000
Picked011
Done022
Total4923495

Merged error: 0.0b

Counts
495 → 3

regimes147.0ms

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
0103
1103

end0.0ms

sample546.0ms

Algorithm
intervals
Results
284.0ms10454×body80valid

Profiling

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