Details

Time bar (total: 4.2s)

analyze726.0ms

Algorithm
search

sample27.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
4.0ms99×body80invalid

simplify72.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0196
1506
21596
33516
46096
57336
610686
713426
815066
915536
1015536

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.9b

Counts
2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* (* y 4.0) (- (* z z) t)))
6.4b
(* (* y 4.0) (- (* z z) t))

rewrite12.0ms

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

series34.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (* x x) (* (* y 4.0) (- (* z z) t)))
15.0ms
(* (* y 4.0) (- (* z z) t))

simplify39.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0269322
11276286
25001281

prune81.0ms

Filtered
29 candidates to 47 candidates (-62.1%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New38947
Fresh000
Picked101
Done000
Total39948

Merged error: 2.0b

Counts
48 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x x) (* y (* 4.0 (- (* z z) t))))
6.4b
(* y (* 4.0 (- (* z z) t)))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
16×distribute-rgt-in distribute-lft-in
9×sub-neg
8×associate--r+
7×pow1 add-exp-log add-cbrt-cube
4×associate-*r/ add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
2×flip3-- flip--
1×diff-log associate-*r* *-commutative
Counts
2 → 48
Calls
2 calls:
6.0ms
(- (* x x) (* y (* 4.0 (- (* z z) t))))
8.0ms
(* y (* 4.0 (- (* z z) t)))

series31.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(- (* x x) (* y (* 4.0 (- (* z z) t))))
12.0ms
(* y (* 4.0 (- (* z z) t)))

simplify125.0ms

Algorithm
egg-herbie
Counts
54 → 54
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0268359
1970323
24771321
35001321

prune86.0ms

Filtered
29 candidates to 54 candidates (-86.2%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New52254
Fresh268
Picked011
Done000
Total54963

Merged error: 2.0b

Counts
63 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.8b
(* (cbrt y) (* 4.0 (- (* z z) t)))
5.0b
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
32×distribute-rgt-in distribute-lft-in
30×pow1 add-exp-log
18×pow-prod-down prod-exp add-cbrt-cube cbrt-unprod
12×sub-neg
10×associate-*r/
9×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×associate-*l*
4×add-log-exp
2×flip3-- pow1/3 associate-*r* *-commutative flip--
Counts
4 → 99
Calls
4 calls:
2.0ms
(cbrt y)
2.0ms
(cbrt y)
17.0ms
(* (cbrt y) (* 4.0 (- (* z z) t)))
25.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

series109.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt y)
24.0ms
(cbrt y)
44.0ms
(* (cbrt y) (* 4.0 (- (* z z) t)))
20.0ms
(* (* (cbrt y) (cbrt y)) (* (cbrt y) (* 4.0 (- (* z z) t))))

simplify49.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
04631015
11634738
25001611

prune95.0ms

Filtered
56 candidates to 111 candidates (-98.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1092111
Fresh437
Picked011
Done011
Total1137120

Merged error: 0.0b

Counts
120 → 7

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x x) (+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0))))
0.2b
(* (* y z) (* 4.0 z))
0.2b
(* (neg y) (* t 4.0))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log add-cbrt-cube
11×associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-log-exp
7×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity
3×distribute-lft-neg-out distribute-lft-neg-in distribute-rgt-neg-in
2×diff-log associate-*r* *-commutative associate--r-
1×neg-mul-1 sub-neg flip3-- unsub-neg sum-log flip-- associate--r+ difference-of-squares
Counts
3 → 65
Calls
3 calls:
7.0ms
(- (* x x) (+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0))))
6.0ms
(* (* y z) (* 4.0 z))
5.0ms
(* (neg y) (* t 4.0))

series30.0ms

Counts
3 → 9
Calls
3 calls:
19.0ms
(- (* x x) (+ (* (* y z) (* 4.0 z)) (* (neg y) (* t 4.0))))
7.0ms
(* (* y z) (* 4.0 z))
3.0ms
(* (neg y) (* t 4.0))

simplify47.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0362483
11602403
25001396

prune65.0ms

Filtered
44 candidates to 74 candidates (-68.2%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New72274
Fresh134
Picked011
Done112
Total74781

Merged error: 0.0b

Counts
81 → 7

regimes842.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0229
1269
2339
3339

end0.0ms

analyze892.0ms

Algorithm
search

sample743.0ms

Algorithm
intervals
Results
329.0ms8000×body80valid
123.0ms3034×body80invalid

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