Details

Time bar (total: 3.9s)

sample31.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune10.0ms

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: 10.3b

Counts
2 → 1

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
0.2b
(- (* (* z 2.0) z) (* y t))
18.6b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
12×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity add-log-exp
add-cube-cbrt
pow1 cbrt-undiv flip3-- times-frac div-exp prod-exp associate-/r* flip-- cbrt-unprod
sub-neg diff-log associate-/r/
frac-2neg clear-num div-inv associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 51
Calls
3 calls:
7.0ms
(- 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)))

series312.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
40.0ms
(- (* (* z 2.0) z) (* y t))
190.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify45.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0318564
11519493
25002493

prune254.0ms

Filtered
60 candidates to 42 candidates (70.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New52860
Fresh000
Picked101
Done000
Total53861

Merged error: 3.9b

Counts
61 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.2b
(- (* (* z 2.0) z) (* y t))
3.8b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
19.1b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite35.0ms

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*
add-log-exp
cbrt-undiv div-exp
pow1 div-inv associate-/l*
flip3-- flip--
sub-neg frac-2neg diff-log prod-exp clear-num cbrt-unprod associate-/l/
div-sub associate-/r/ distribute-lft-out-- difference-of-squares
Counts
4 → 102
Calls
4 calls:
13.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
4.0ms
(- (* (* z 2.0) z) (* y t))
8.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series370.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
39.0ms
(- (* (* z 2.0) z) (* y t))
190.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
54.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify69.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
04721105
12263993
25003988

prune473.0ms

Filtered
114 candidates to 84 candidates (73.7%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1131114
Fresh167
Picked101
Done000
Total1157122

Merged error: 1.0b

Counts
122 → 7

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
3.8b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.6b
(/ (* t y) z)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
add-cube-cbrt
times-frac associate-/r*
add-log-exp
cbrt-undiv div-exp
pow1
flip3-- frac-2neg prod-exp clear-num associate-/r/ flip-- cbrt-unprod div-inv associate-/l*
sub-neg diff-log distribute-lft-out-- difference-of-squares
Counts
3 → 58
Calls
3 calls:
7.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
7.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
4.0ms
(/ (* t y) z)

series277.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
182.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))
24.0ms
(/ (* t y) z)

simplify40.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0312463
11403412
25001412

prune249.0ms

Filtered
67 candidates to 46 candidates (68.7%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh516
Picked011
Done000
Total70474

Merged error: 0.2b

Counts
74 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
3.8b
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
6.1b
(* t (/ y z))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
15×*-un-lft-identity
13×add-exp-log add-cube-cbrt times-frac associate-*r* add-cbrt-cube
pow1 add-log-exp
cbrt-undiv div-exp associate-*l* prod-exp associate-/r* cbrt-unprod
flip3-- associate-/r/ flip-- div-inv unswap-sqr
sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares
Counts
3 → 69
Calls
3 calls:
6.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
6.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
6.0ms
(* t (/ y z))

series270.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
180.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
20.0ms
(* t (/ y z))

simplify47.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0369511
11679460
25002460

prune272.0ms

Filtered
78 candidates to 54 candidates (69.2%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh022
Picked011
Done011
Total78482

Merged error: 0.2b

Counts
82 → 4

regimes257.0ms

Accuracy

0% (1.8b remaining)

Error of 2.5b against oracle of 0.7b and baseline of 2.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

sample747.0ms

Algorithm
intervals
Results
376.0ms8000×body80valid

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