Details

Time bar (total: 4.5s)

analyze1.1s

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
15.6%84.2%0.2%8
15.6%84.2%0.2%9
20.3%79.5%0.2%10
25.3%74.5%0.2%11
34.2%65.6%0.2%12
37.4%62%0.6%13
41.7%57.7%0.6%14

sample36.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
5.0ms120×body80invalid

simplify40.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 3.9b

Counts
2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.2b
(/ y (* z 3.0))
6.7b
(/ t (* (* z 3.0) y))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
9.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
5.0ms
(* (* z 3.0) y)
4.0ms
(/ y (* z 3.0))
5.0ms
(/ t (* (* z 3.0) y))

series29.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
3.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
6.0ms
(/ t (* (* z 3.0) y))

simplify59.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (12.0ms)

IterNodesCost
0405532
12039469
25001469

prune141.0ms

Filtered
62 candidates to 93 candidates (-50.0%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New85893
Fresh000
Picked101
Done000
Total86894

Merged error: 0.0b

Counts
94 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ y (* z 3.0))
0.2b
(/ t (* z 3.0))
4.4b
(/ (/ t (* z 3.0)) y)

rewrite32.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
14.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms
(/ y (* z 3.0))
4.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series29.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ y (* z 3.0))
3.0ms
(/ t (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

simplify48.0ms

Algorithm
egg-herbie
Counts
121 → 121
Iterations

Useful iterations: 1 (11.0ms)

IterNodesCost
0482721
11906657
25001657

prune146.0ms

Filtered
87 candidates to 121 candidates (-39.1%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1201121
Fresh167
Picked101
Done000
Total1227129

Merged error: 0b

Counts
129 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.4b
(* (/ 1 z) (/ y 3.0))
4.4b
(/ (/ t (* z 3.0)) y)

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
61×times-frac
53×add-sqr-sqrt
40×add-exp-log *-un-lft-identity
36×add-cube-cbrt
30×add-cbrt-cube
15×div-exp
13×associate-*r* associate-*l*
11×cbrt-undiv
10×prod-exp associate-/l*
9×add-log-exp
8×div-inv
6×pow1 cbrt-unprod unswap-sqr
4×associate-/r*
2×rec-exp associate-+l+ frac-2neg 1-exp frac-add clear-num sum-log
1×+-commutative frac-times associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*r/ pow-prod-down associate-*l/ *-commutative flip-- flip-+ associate-/l/ distribute-lft-out
Counts
4 → 143
Calls
4 calls:
10.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
4.0ms
(/ t (* z 3.0))
10.0ms
(* (/ 1 z) (/ y 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series30.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(+ (- x (* (/ 1 z) (/ y 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
3.0ms
(* (/ 1 z) (/ y 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

simplify78.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
0738956
13458851
25001841

prune252.0ms

Filtered
112 candidates to 155 candidates (-38.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1541155
Fresh156
Picked011
Done000
Total1557162

Merged error: 0b

Counts
162 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
0.2b
(* z (* 3.0 y))
0.2b
(/ y (* z 3.0))
6.7b
(/ t (* z (* 3.0 y)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*l* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*r* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
10.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
5.0ms
(* z (* 3.0 y))
4.0ms
(/ y (* z 3.0))
5.0ms
(/ t (* z (* 3.0 y)))

series33.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* z (* 3.0 y))))
3.0ms
(* z (* 3.0 y))
3.0ms
(/ y (* z 3.0))
10.0ms
(/ t (* z (* 3.0 y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0414530
11744467
25003467

prune85.0ms

Filtered
62 candidates to 93 candidates (-50.0%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New93093
Fresh055
Picked011
Done011
Total937100

Merged error: 0b

Counts
100 → 7

regimes508.0ms

Accuracy

58.6% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 1.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04025
14025

end0.0ms

analyze856.0ms

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
15.6%84.2%0.2%8
15.6%84.2%0.2%9
20.3%79.5%0.2%10
25.3%74.5%0.2%11
34.2%65.6%0.2%12
37.4%62%0.6%13
41.7%57.7%0.6%14

sample878.0ms

Algorithm
intervals
Results
404.0ms8000×body80valid
158.0ms3177×body80invalid

Profiling

Loading profile data...