Details

Time bar (total: 2.1s)

sample27.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify35.0ms

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: 11.1b

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))
18.7b
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

rewrite28.0ms

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))
14.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

series57.0ms

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))
24.0ms
(/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
60 → 60
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0318564
11519493
25002493

prune114.0ms

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: 4.4b

Counts
61 → 9

localize12.0ms

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))
6.2b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
14.6b
(/ (- (* (* z 2.0) z) (* y t)) z)

rewrite33.0ms

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))
9.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series68.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
8.0ms
(- (* (* z 2.0) z) (* y t))
26.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify63.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (51.0ms)

IterNodesCost
04721105
12263993
25003988

prune159.0ms

Filtered
84 candidates to 114 candidates (-35.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1113114
Fresh358
Picked101
Done000
Total1158123

Merged error: 2.2b

Counts
123 → 8

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.4b
(/ (* t y) z)
6.2b
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

rewrite20.0ms

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:
7.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
4.0ms
(/ (* t y) z)
7.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

series43.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ (* t y) z))))
5.0ms
(/ (* t y) z)
21.0ms
(/ (* y 2.0) (- (* z 2.0) (/ (* t y) z)))

simplify35.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0312463
11403412
25001412

prune85.0ms

Filtered
46 candidates to 67 candidates (-45.7%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New63467
Fresh617
Picked101
Done000
Total70575

Merged error: 0.8b

Counts
75 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
6.2b
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
6.6b
(/ t (/ z y))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
49×add-sqr-sqrt *-un-lft-identity
47×add-cube-cbrt
16×associate-/r*
13×add-exp-log add-cbrt-cube
6×div-inv
5×cbrt-undiv div-exp add-log-exp
4×associate-/l*
3×pow1 associate-/r/
2×flip3-- frac-2neg clear-num flip--
1×sub-neg diff-log prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
Counts
3 → 107
Calls
3 calls:
14.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
12.0ms
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
6.0ms
(/ t (/ z y))

series44.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(- x (/ (* y 2.0) (- (* z 2.0) (/ t (/ z y)))))
21.0ms
(/ (* y 2.0) (- (* z 2.0) (/ t (/ z y))))
5.0ms
(/ t (/ z y))

simplify55.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
0528830
12279774
25001773

prune114.0ms

Filtered
91 candidates to 116 candidates (-27.5%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1151116
Fresh044
Picked101
Done000
Total1165121

Merged error: 0.7b

Counts
121 → 5

regimes244.0ms

Accuracy

-53.1% (2.1b remaining)

Error of 3.0b against oracle of 1.0b and baseline of 2.3b

bsearch44.0ms

Steps
ItersRangePoint
8
1.836982267931771e-131
2.8055663881106013e-128
7.008903515888398e-130
9
-1.9941763095820656e-302
4.796248405077553e-307
-4.932734956933989e-308

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04123
14123

end0.0ms

sample722.0ms

Algorithm
intervals
Results
374.0ms8000×body80valid

Profiling

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