Details

Time bar (total: 4.2s)

analyze645.0ms

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
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14

sample26.0ms

Algorithm
intervals
Results
14.0ms256×body80valid
1.0ms21×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01149
11149

prune11.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 6.5b

Counts
2 → 2

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.5b
(/ 2.0 (* z (- y t)))
6.7b
(* x (/ 2.0 (* z (- y t))))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
19×add-exp-log add-cbrt-cube
16×add-sqr-sqrt
14×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt
7×pow1 associate-*r/
6×times-frac associate-*l* prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×sub-neg pow-prod-down *-commutative div-inv unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 76
Calls
3 calls:
6.0ms
(* z (- y t))
6.0ms
(/ 2.0 (* z (- y t)))
9.0ms
(* x (/ 2.0 (* z (- y t))))

series26.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 2.0 (* z (- y t)))
12.0ms
(* x (/ 2.0 (* z (- y t))))

simplify61.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04983664
14983664

prune105.0ms

Filtered
57 candidates to 85 candidates (-49.1%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New78785
Fresh101
Picked011
Done000
Total79887

Merged error: 0.0b

Counts
87 → 8

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.5b
(/ (* x 2.0) (* z (- y t)))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×sub-neg flip3-- associate-/r/ flip-- add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 47
Calls
2 calls:
6.0ms
(* z (- y t))
7.0ms
(/ (* x 2.0) (* z (- y t)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(* z (- y t))
12.0ms
(/ (* x 2.0) (* z (- y t)))

simplify49.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
04989413
14989413

prune65.0ms

Filtered
31 candidates to 53 candidates (-71.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New51253
Fresh156
Picked011
Done011
Total52961

Merged error: 0b

Counts
61 → 9

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 2.0 z) (- y t))
6.7b
(* x (/ (/ 2.0 z) (- y t)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
232×times-frac
171×add-sqr-sqrt
162×*-un-lft-identity
108×add-cube-cbrt
71×associate-*r*
27×distribute-lft-out-- difference-of-squares
16×add-exp-log add-cbrt-cube
13×div-inv associate-/l*
6×cbrt-undiv div-exp
5×associate-/r*
4×pow1 associate-/r/
3×associate-*l* prod-exp cbrt-unprod unswap-sqr
2×flip3-- flip-- add-log-exp
1×frac-2neg associate-*r/ pow-prod-down clear-num *-commutative associate-/l/
Counts
2 → 193
Calls
2 calls:
10.0ms
(/ (/ 2.0 z) (- y t))
21.0ms
(* x (/ (/ 2.0 z) (- y t)))

series19.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ (/ 2.0 z) (- y t))
12.0ms
(* x (/ (/ 2.0 z) (- y t)))

simplify75.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
049642486
149642486

prune209.0ms

Filtered
142 candidates to 199 candidates (-40.1%)
Pruning

9 alts after pruning (6 fresh and 3 done)

PrunedKeptTotal
New1990199
Fresh066
Picked011
Done022
Total1999208

Merged error: 0b

Counts
208 → 9

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.3b
(* (/ 1 z) (/ 2.0 (- y t)))
6.7b
(* x (* (/ 1 z) (/ 2.0 (- y t))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
61×add-sqr-sqrt
59×add-exp-log
46×*-un-lft-identity times-frac
35×add-cbrt-cube
30×add-cube-cbrt
25×prod-exp
22×associate-*r*
17×div-exp
16×associate-*l*
13×cbrt-unprod
10×pow1
9×cbrt-undiv
7×distribute-lft-out-- difference-of-squares
6×unswap-sqr
5×associate-*r/ associate-/r*
4×rec-exp 1-exp pow-prod-down associate-/r/
3×div-inv associate-/l* add-log-exp
2×frac-times flip3-- associate-*l/ *-commutative flip--
1×frac-2neg clear-num
Counts
3 → 132
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
14.0ms
(* (/ 1 z) (/ 2.0 (- y t)))
11.0ms
(* x (* (/ 1 z) (/ 2.0 (- y t))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
10.0ms
(* (/ 1 z) (/ 2.0 (- y t)))
12.0ms
(* x (* (/ 1 z) (/ 2.0 (- y t))))

simplify61.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
052141246

prune117.0ms

Filtered
85 candidates to 141 candidates (-65.9%)
Pruning

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New1401141
Fresh235
Picked011
Done033
Total1428150

Merged error: 0b

Counts
150 → 8

regimes469.0ms

Accuracy

52.7% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.3b

bsearch882.0ms

Steps
ItersRangePoint
8
1.2968663761847255e-44
6.323274897959387e-41
6.676781766092113e-43
8
-6.714150139753306e+37
-3.9102910260831385e+34
-1.9170945823704876e+37

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02737
12737

end0.0ms

analyze626.0ms

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
12.5%87.3%0.2%8
18.7%81.1%0.2%9
22.6%77.2%0.2%10
25%74.9%0.2%11
39.4%60.4%0.2%12
46.5%53.2%0.3%13
48%51.4%0.6%14

sample593.0ms

Algorithm
intervals
Results
325.0ms8000×body80valid
28.0ms708×body80invalid

Profiling

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