Details

Time bar (total: 3.4s)

sample25.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

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: 12.8b

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))))
1.0b
(- (* (* z 2.0) z) (* y t))
21.2b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite24.0ms

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))))
5.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series296.0ms

Counts
3 → 9
Calls
3 calls:
80.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
39.0ms
(- (* (* z 2.0) z) (* y t))
177.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0318564
11519493
25002493

prune140.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New54660
Fresh000
Picked011
Done000
Total54761

Merged error: 4.6b

Counts
61 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

6.6b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
24.1b
(cbrt (- (* (* z 2.0) z) (* y t)))
24.1b
(cbrt (- (* (* z 2.0) z) (* y t)))
24.1b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite35.0ms

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:
18.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
5.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series594.0ms

Counts
4 → 12
Calls
4 calls:
227.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
123.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
120.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
123.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify51.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
04361040
11466915
25001900

prune255.0ms

Filtered
80 candidates to 67 candidates (83.8%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New80080
Fresh055
Picked011
Done011
Total80787

Merged error: 4.6b

Counts
87 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.0b
(- (* (* z 2.0) z) (* y t))
5.6b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.0b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
28×add-sqr-sqrt *-un-lft-identity
26×add-cube-cbrt
18×add-exp-log add-cbrt-cube
16×associate-/r*
8×add-log-exp
7×cbrt-undiv div-exp
4×pow1 div-inv associate-/l*
3×flip3-- flip--
2×sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
1×div-sub associate-/r/ distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
10.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
5.0ms
(- (* (* z 2.0) z) (* y t))
9.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series364.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
37.0ms
(- (* (* z 2.0) z) (* y t))
187.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
56.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify69.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
04721105
12263993
25003988

prune226.0ms

Filtered
114 candidates to 84 candidates (73.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1104114
Fresh224
Picked101
Done112
Total1147121

Merged error: 1.9b

Counts
121 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.7b
(/ (* t y) z)
5.6b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
9×add-sqr-sqrt *-un-lft-identity
7×add-cube-cbrt
6×times-frac associate-/r*
5×add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×flip3-- frac-2neg prod-exp clear-num associate-/r/ flip-- cbrt-unprod div-inv associate-/l*
1×sub-neg diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
8.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.0ms
(/ (* t y) z)
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series256.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
19.0ms
(/ (* t y) z)
169.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0312463
11403412
25001412

prune114.0ms

Filtered
67 candidates to 46 candidates (68.7%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New64367
Fresh325
Picked101
Done011
Total68674

Merged error: 0.2b

Counts
74 → 6

regimes163.0ms

Accuracy

34.1% (1.3b remaining)

Error of 1.8b against oracle of 0.5b and baseline of 2.4b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03223
13223

end0.0ms

sample571.0ms

Algorithm
intervals
Results
369.0ms8000×body80valid

Profiling

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