Details

Time bar (total: 4.4s)

analyze727.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample22.0ms

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: 12.7b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
1.3b
(- (* (* z 2.0) z) (* y t))
20.8b
(/ (* (* 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)))

series60.0ms

Counts
3 → 9
Calls
3 calls:
25.0ms
(- x (/ (* (* y 2.0) z) (- (* (* z 2.0) z) (* y t))))
8.0ms
(- (* (* z 2.0) z) (* y t))
27.0ms
(/ (* (* 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

prune112.0ms

Filtered
42 candidates to 60 candidates (-42.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New52860
Fresh000
Picked101
Done000
Total53861

Merged error: 4.6b

Counts
61 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

4.8b
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
20.2b
(cbrt (- (* (* z 2.0) z) (* y t)))
20.2b
(cbrt (- (* (* z 2.0) z) (* y t)))
20.2b
(cbrt (- (* (* z 2.0) z) (* y t)))

rewrite30.0ms

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:
14.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
4.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

series139.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (* y 2.0) (* (cbrt (- (* (* z 2.0) z) (* y t))) (cbrt (- (* (* z 2.0) z) (* y t)))))
26.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
25.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))
24.0ms
(cbrt (- (* (* z 2.0) z) (* y t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
04441044
11490920
25001907

prune259.0ms

Filtered
67 candidates to 80 candidates (-19.4%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New78280
Fresh077
Picked011
Done000
Total781088

Merged error: 4.5b

Counts
88 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
1.3b
(- (* 2.0 (pow z 2)) (* t y))
3.4b
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
15.8b
(/ z (- (* 2.0 (pow z 2)) (* t y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×add-exp-log times-frac add-cbrt-cube
15×associate-*r*
9×pow1
8×add-log-exp
6×prod-exp cbrt-unprod
4×flip3-- associate-/r/ flip--
3×cbrt-undiv div-exp pow-prod-down associate-/r* associate-/l*
2×sub-neg diff-log div-inv
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
4 → 88
Calls
4 calls:
3.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
4.0ms
(- (* 2.0 (pow z 2)) (* t y))
11.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
6.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

series73.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- x (* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y)))))
8.0ms
(- (* 2.0 (pow z 2)) (* t y))
28.0ms
(* (* y 2.0) (/ z (- (* 2.0 (pow z 2)) (* t y))))
11.0ms
(/ z (- (* 2.0 (pow z 2)) (* t y)))

simplify60.0ms

Algorithm
egg-herbie
Counts
100 → 100
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
0391883
11978774
25001773

prune190.0ms

Filtered
69 candidates to 100 candidates (-44.9%)
Pruning

11 alts after pruning (9 fresh and 2 done)

PrunedKeptTotal
New982100
Fresh178
Picked011
Done011
Total9911110

Merged error: 4.5b

Counts
110 → 11

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
1.3b
(- (* (* z 2.0) z) (* y t))
3.9b
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
15.6b
(/ (- (* (* 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))
8.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
7.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

series81.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- x (/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z)))
10.0ms
(- (* (* z 2.0) z) (* y t))
27.0ms
(/ (* y 2.0) (/ (- (* (* z 2.0) z) (* y t)) z))
10.0ms
(/ (- (* (* z 2.0) z) (* y t)) z)

simplify72.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
04721105
12263993
25003988

prune158.0ms

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

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New1113114
Fresh448
Picked101
Done022
Total1169125

Merged error: 2.0b

Counts
125 → 9

regimes568.0ms

Accuracy

0% (0.7b remaining)

Error of 2.7b against oracle of 2.0b and baseline of 2.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157
1157

end0.0ms

analyze905.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%99.8%0.2%7
9.4%90.4%0.2%8
9.4%90.4%0.2%9
10.9%88.9%0.2%10
25.9%73.9%0.2%11
47.1%52.7%0.2%12
55.3%44.5%0.2%13
59.2%40.6%0.2%14

sample692.0ms

Algorithm
intervals
Results
457.0ms8000×body80valid

Profiling

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