Details

Time bar (total: 4.3s)

analyze656.0ms

Algorithm
search

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify38.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 8.5b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.6b
(- (* (* z 2.0) z) (* y t))
15.3b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity add-log-exp
5×add-cube-cbrt
3×pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
2×sub-neg diff-log associate-/r/
1×frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 51
Calls
3 calls:
8.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
4.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series58.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms
(- (* (* z 2.0) z) (* y t))
26.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune115.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New51960
Fresh000
Picked101
Done000
Total52961

Merged error: 2.9b

Counts
61 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

3.1b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
16×add-exp-log
12×add-cbrt-cube
9×cbrt-prod flip3-- flip--
8×associate-/r/
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 cbrt-undiv frac-times div-exp prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×associate-*r/ associate-*l/
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 68
Calls
4 calls:
14.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series128.0ms

Counts
4 → 12
Calls
4 calls:
58.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
25.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
23.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
23.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
04441044
11490920
25001907

prune217.0ms

Filtered
67 candidates to 80 candidates (-19.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New79180
Fresh088
Picked011
Done000
Total791089

Merged error: 2.9b

Counts
89 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite18.0ms

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:
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
22.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
23.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
24.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify59.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0174668
1509624
21886616
35001588

prune287.0ms

Filtered
60 candidates to 64 candidates (-6.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New63164
Fresh088
Picked101
Done011
Total641074

Merged error: 2.9b

Counts
74 → 10

localize21.0ms

Local error

Found 4 expressions with local error:

19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))
19.3b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite19.0ms

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:
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
22.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
23.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
24.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify60.0ms

Algorithm
egg-herbie
Counts
64 → 64
Iterations

Useful iterations: 3 (51.0ms)

IterNodesCost
0174668
1509624
21886616
35001588

prune353.0ms

Filtered
60 candidates to 64 candidates (-6.7%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New64064
Fresh088
Picked011
Done011
Total641074

Merged error: 2.9b

Counts
74 → 10

regimes585.0ms

Accuracy

79.9% (0.3b remaining)

Error of 4.7b against oracle of 4.4b and baseline of 6.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02829
12829

end0.0ms

analyze657.0ms

Algorithm
search

sample576.0ms

Algorithm
intervals
Results
381.0ms8000×body80valid

Profiling

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