Details

Time bar (total: 3.6s)

sample21.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify35.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune3.0ms

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: 10.0b

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))))
0.9b
(- (* (* z 2.0) z) (* y t))
19.4b
(/ (* (* 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))))
4.0ms
(- (* (* z 2.0) z) (* y t))
10.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series318.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
38.0ms
(- (* (* z 2.0) z) (* y t))
194.0ms
(/ (* (* 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

prune140.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New53760
Fresh000
Picked101
Done000
Total54761

Merged error: 4.8b

Counts
61 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.9b
(- (* (* z 2.0) z) (* y t))
4.3b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
18.1b
(/ (- (* (* 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)

series553.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
38.0ms
(- (* (* z 2.0) z) (* y t))
369.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
58.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify67.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04721105
12263993
25002988

prune241.0ms

Filtered
114 candidates to 84 candidates (73.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1095114
Fresh516
Picked101
Done000
Total1156121

Merged error: 2.2b

Counts
121 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.3b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
6.7b
(/ (* t y) z)

rewrite25.0ms

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:
11.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
8.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
5.0ms
(/ (* t y) z)

series261.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
172.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
19.0ms
(/ (* t y) z)

simplify37.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0312463
11403412
25001412

prune124.0ms

Filtered
67 candidates to 46 candidates (68.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New65267
Fresh325
Picked101
Done000
Total69473

Merged error: 0.2b

Counts
73 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
3.4b
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
4.3b
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
31×times-frac
30×add-exp-log
23×add-cube-cbrt *-un-lft-identity add-cbrt-cube
22×associate-*r*
17×cbrt-prod
9×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l*
6×pow1 unswap-sqr
4×add-log-exp
3×associate-/r* div-inv
2×pow1/3 associate-/r/
1×frac-times flip3-- frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-- associate-/l*
Counts
4 → 104
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
15.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
6.0ms
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

series613.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt z)
177.0ms
(cbrt z)
50.0ms
(* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))
208.0ms
(/ (* y 2.0) (- (* z 2.0) (* (/ t (* (cbrt z) (cbrt z))) (/ y (cbrt z)))))

simplify71.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (61.0ms)

IterNodesCost
05691058
13033868
25001820

prune275.0ms

Filtered
116 candidates to 86 candidates (74.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1160116
Fresh033
Picked011
Done000
Total1164120

Merged error: 0.2b

Counts
120 → 4

regimes109.0ms

Accuracy

0% (1.1b remaining)

Error of 1.5b against oracle of 0.4b and baseline of 1.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01812
11812

end0.0ms

sample505.0ms

Algorithm
intervals
Results
307.0ms8000×body80valid

Profiling

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