Details

Time bar (total: 4.2s)

sample30.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify33.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0268
1618
21418
33478
47928
550028

prune9.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.8b

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))))
0.5b
(- (* (* z 2.0) z) (* y t))
19.1b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite23.0ms

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)))

series377.0ms

Counts
3 → 9
Calls
3 calls:
96.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
46.0ms
(- (* (* z 2.0) z) (* y t))
234.0ms
(/ (* (* 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

prune184.0ms

Filtered
60 candidates to 42 candidates (30.0%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New53760
Fresh000
Picked011
Done000
Total53861

Merged error: 5.2b

Counts
61 → 8

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
0.5b
(- (* (* z 2.0) z) (* y t))
5.2b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
16.3b
(/ (- (* (* 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)))
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)

series452.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
47.0ms
(- (* (* z 2.0) z) (* y t))
234.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
77.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
04721105
12263993
25003988

prune557.0ms

Filtered
114 candidates to 84 candidates (26.3%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1095114
Fresh426
Picked101
Done011
Total1148122

Merged error: 2.0b

Counts
122 → 8

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.5b
(/ (* t y) z)
5.2b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite21.0ms

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)))

series316.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
25.0ms
(/ (* t y) z)
215.0ms
(/ (* 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

prune215.0ms

Filtered
67 candidates to 46 candidates (31.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New65267
Fresh426
Picked101
Done011
Total70575

Merged error: 0.7b

Counts
75 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
5.2b
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
6.2b
(* t (/ y z))

rewrite22.0ms

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
5×pow1 add-log-exp
3×cbrt-undiv div-exp associate-*l* prod-exp associate-/r* cbrt-unprod
2×flip3-- associate-/r/ flip-- div-inv unswap-sqr
1×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:
7.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
6.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
7.0ms
(* t (/ y z))

series317.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (* t (/ y z)))))
215.0ms
(/ (* y 2.0) (- (* z 2.0) (* t (/ y z))))
25.0ms
(* t (/ y z))

simplify44.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0369511
11679460
25002460

prune285.0ms

Filtered
78 candidates to 55 candidates (29.5%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New78078
Fresh033
Picked011
Done011
Total78583

Merged error: 0.7b

Counts
83 → 5

regimes422.0ms

Accuracy

65% (0.6b remaining)

Error of 1.1b against oracle of 0.5b and baseline of 2.2b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04551
14551

end0.0ms

sample699.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid

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