Details

Time bar (total: 2.9s)

analyze652.0ms

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

sample21.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify50.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
0508513

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: 0.3b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- z (* y (/ t (* 2.0 z))))
3.9b
(/ y (- z (* y (/ t (* 2.0 z)))))
4.0b
(* y (/ t (* 2.0 z)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
14×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
12×times-frac
7×associate-*r*
5×pow1 add-log-exp
4×prod-exp cbrt-unprod
3×cbrt-undiv div-exp associate-*l* associate-/r* associate-/l*
2×flip3-- associate-/r/ flip-- div-inv
1×sub-neg frac-2neg diff-log associate-*r/ pow-prod-down clear-num *-commutative unswap-sqr
Counts
3 → 67
Calls
3 calls:
3.0ms
(- z (* y (/ t (* 2.0 z))))
4.0ms
(/ y (- z (* y (/ t (* 2.0 z)))))
7.0ms
(* y (/ t (* 2.0 z)))

series38.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- z (* y (/ t (* 2.0 z))))
22.0ms
(/ y (- z (* y (/ t (* 2.0 z)))))
6.0ms
(* y (/ t (* 2.0 z)))

simplify49.0ms

Algorithm
egg-herbie
Counts
76 → 76
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
04977918
14977918

prune100.0ms

Filtered
54 candidates to 76 candidates (-40.7%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New73376
Fresh101
Picked101
Done000
Total75378

Merged error: 0b

Counts
78 → 3

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ z y) (/ t (* 2.0 z)))
0.7b
(/ 1 (- (/ z y) (/ t (* 2.0 z))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
23×*-un-lft-identity times-frac
13×add-cube-cbrt
10×difference-of-squares
6×add-exp-log associate-/r*
5×distribute-lft-out--
4×add-cbrt-cube add-log-exp
3×pow1 associate-/r/ associate-/l*
2×flip3-- div-exp frac-sub flip--
1×cbrt-undiv sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp clear-num div-inv inv-pow
Counts
2 → 61
Calls
2 calls:
10.0ms
(- (/ z y) (/ t (* 2.0 z)))
13.0ms
(/ 1 (- (/ z y) (/ t (* 2.0 z))))

series15.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(- (/ z y) (/ t (* 2.0 z)))
8.0ms
(/ 1 (- (/ z y) (/ t (* 2.0 z))))

simplify58.0ms

Algorithm
egg-herbie
Counts
67 → 67
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
063631018

prune76.0ms

Filtered
45 candidates to 67 candidates (-48.9%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New66167
Fresh112
Picked011
Done000
Total67370

Merged error: 0b

Counts
70 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ z y) (* t (/ 0.5 z)))
0.2b
(* t (/ 0.5 z))
0.7b
(/ 1 (- (/ z y) (* t (/ 0.5 z))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×associate-*r*
12×add-exp-log
10×add-cbrt-cube
6×pow1
5×add-log-exp
3×associate-*r/ div-exp associate-*l* associate-/r* associate-/r/ associate-/l*
2×cbrt-undiv flip3-- prod-exp frac-sub flip-- cbrt-unprod div-inv unswap-sqr
1×sub-neg rec-exp pow-flip frac-2neg diff-log 1-exp pow-prod-down clear-num *-commutative inv-pow
Counts
3 → 78
Calls
3 calls:
6.0ms
(- (/ z y) (* t (/ 0.5 z)))
6.0ms
(* t (/ 0.5 z))
9.0ms
(/ 1 (- (/ z y) (* t (/ 0.5 z))))

series18.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(- (/ z y) (* t (/ 0.5 z)))
3.0ms
(* t (/ 0.5 z))
8.0ms
(/ 1 (- (/ z y) (* t (/ 0.5 z))))

simplify56.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04973950
14973950

prune86.0ms

Filtered
57 candidates to 87 candidates (-52.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New87087
Fresh011
Picked011
Done011
Total87390

Merged error: 0b

Counts
90 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- z (/ (* y t) (* 2.0 z)))
3.5b
(/ (* y t) (* 2.0 z))
3.9b
(/ y (- z (/ (* y t) (* 2.0 z))))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt *-un-lft-identity
17×add-exp-log add-cbrt-cube
16×times-frac
13×add-cube-cbrt
6×associate-/r*
5×cbrt-undiv div-exp distribute-lft-out-- add-log-exp difference-of-squares
4×prod-exp cbrt-unprod associate-/l*
3×pow1
2×flip3-- frac-2neg clear-num associate-/r/ flip-- div-inv
1×sub-neg diff-log
Counts
3 → 71
Calls
3 calls:
4.0ms
(- z (/ (* y t) (* 2.0 z)))
5.0ms
(/ (* y t) (* 2.0 z))
6.0ms
(/ y (- z (/ (* y t) (* 2.0 z))))

series37.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(- z (/ (* y t) (* 2.0 z)))
6.0ms
(/ (* y t) (* 2.0 z))
22.0ms
(/ y (- z (/ (* y t) (* 2.0 z))))

simplify46.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
050041054

prune77.0ms

Filtered
56 candidates to 80 candidates (-42.9%)
Pruning

3 alts after pruning (0 fresh and 3 done)

PrunedKeptTotal
New80080
Fresh000
Picked011
Done022
Total80383

Merged error: 0b

Counts
83 → 3

regimes198.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01413
11413

end0.0ms

analyze641.0ms

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

sample574.0ms

Algorithm
intervals
Results
381.0ms8000×body80valid

Profiling

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