Details

Time bar (total: 7.3s)

analyze1.4s

Algorithm
search

sample44.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
8.0ms167×body80invalid

simplify9.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0267
1487
2817
3987
4987

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (* z t))
0.0b
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
0.0b
(+ (+ (* x y) (* z t)) (* a b))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
3.0ms
(+ (* x y) (* z t))
7.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
9.0ms
(+ (+ (* x y) (* z t)) (* a b))

series134.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(+ (* x y) (* z t))
106.0ms
(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
18.0ms
(+ (+ (* x y) (* z t)) (* a b))

simplify34.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0276348
11151333
25001333

prune77.0ms

Filtered
37 candidates to 47 candidates (-27.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New43447
Fresh000
Picked011
Done000
Total43548

Merged error: 0.0b

Counts
48 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
10.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
36.0ms
(cbrt (+ (* x y) (* z t)))
34.0ms
(cbrt (+ (* x y) (* z t)))
37.0ms
(cbrt (+ (* x y) (* z t)))

simplify100.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
03151087
110671022
24322952
35001933

prune129.0ms

Filtered
75 candidates to 99 candidates (-32.0%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New98199
Fresh123
Picked101
Done011
Total1004104

Merged error: 0.0b

Counts
104 → 4

localize21.0ms

Local error

Found 4 expressions with local error:

1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))
1.3b
(cbrt (+ (* x y) (* z t)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt cbrt-div *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 52
Calls
4 calls:
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))
3.0ms
(cbrt (+ (* x y) (* z t)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (+ (* x y) (* z t)))
34.0ms
(cbrt (+ (* x y) (* z t)))
36.0ms
(cbrt (+ (* x y) (* z t)))
34.0ms
(cbrt (+ (* x y) (* z t)))

simplify128.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 4 (119.0ms)

IterNodesCost
0177592
1486556
21464540
34313528
45002520

prune105.0ms

Filtered
56 candidates to 64 candidates (-14.3%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh022
Picked011
Done011
Total64468

Merged error: 0.0b

Counts
68 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
1.3b
(* (* z t) (- (* z t) (* x y)))
2.1b
(+ (pow (* x y) 3) (pow (* z t) 3))
37.2b
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

rewrite40.0ms

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:
8.0ms
(+ (* (* 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))
15.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

series134.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y)))
15.0ms
(* (* z t) (- (* z t) (* x y)))
43.0ms
(+ (pow (* x y) 3) (pow (* z t) 3))
49.0ms
(/ (+ (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* z t) (- (* z t) (* x y))) (* (* x y) (* x y))))

simplify105.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
04371484
125621357
250011352

prune146.0ms

Filtered
71 candidates to 103 candidates (-45.1%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh011
Picked011
Done022
Total1034107

Merged error: 0.0b

Counts
107 → 4

regimes1.4s

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
0227
1227

end0.0ms

analyze1.6s

Algorithm
search

sample1.3s

Algorithm
intervals
Results
398.0ms8000×body80valid
318.0ms5713×body80invalid

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