Details

Time bar (total: 2.8s)

analyze622.0ms

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

sample20.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
1.0ms26×body80invalid

simplify61.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
012189
112189

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: 5.5b

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)))
5.6b
(* x (/ 2.0 (* z (- y t))))

rewrite26.0ms

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)))
8.0ms
(* x (/ 2.0 (* z (- y t))))

series27.0ms

Counts
3 → 9
Calls
3 calls:
7.0ms
(* z (- y t))
7.0ms
(/ 2.0 (* z (- y t)))
13.0ms
(* x (/ 2.0 (* z (- y t))))

simplify46.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05973663

prune104.0ms

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

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New80585
Fresh011
Picked011
Done000
Total80787

Merged error: 0.0b

Counts
87 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
4.8b
(* (/ x z) (/ 2.0 (- y t)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
54×add-sqr-sqrt
43×times-frac
42×*-un-lft-identity
28×add-cube-cbrt
21×associate-*r*
16×add-exp-log add-cbrt-cube
13×associate-*l*
7×distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp associate-/r/ cbrt-unprod unswap-sqr
3×div-inv associate-/l*
2×flip3-- flip-- add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 95
Calls
2 calls:
5.0ms
(/ 2.0 (- y t))
13.0ms
(* (/ x z) (/ 2.0 (- y t)))

series17.0ms

Counts
2 → 6
Calls
2 calls:
5.0ms
(/ 2.0 (- y t))
12.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
04999979
14999979

prune123.0ms

Filtered
72 candidates to 101 candidates (-40.3%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New974101
Fresh235
Picked011
Done011
Total999108

Merged error: 0b

Counts
108 → 9

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (/ (sqrt 2.0) z))
0.4b
(/ (sqrt 2.0) z)
0.4b
(/ (sqrt 2.0) (- y t))
4.8b
(* (* x (/ (sqrt 2.0) z)) (/ (sqrt 2.0) (- y t)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
103×add-sqr-sqrt
98×times-frac
95×*-un-lft-identity
69×add-cube-cbrt
58×associate-*r*
55×sqrt-prod
34×add-exp-log add-cbrt-cube
13×distribute-lft-out-- difference-of-squares
12×prod-exp cbrt-unprod associate-/l*
11×pow1
8×cbrt-undiv div-exp associate-/r*
4×associate-*r/ associate-*l* pow-prod-down associate-/r/ div-inv add-log-exp
3×unswap-sqr
2×flip3-- frac-2neg clear-num *-commutative flip--
1×frac-times associate-*l/
Counts
4 → 198
Calls
4 calls:
8.0ms
(* x (/ (sqrt 2.0) z))
4.0ms
(/ (sqrt 2.0) z)
6.0ms
(/ (sqrt 2.0) (- y t))
15.0ms
(* (* x (/ (sqrt 2.0) z)) (/ (sqrt 2.0) (- y t)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* x (/ (sqrt 2.0) z))
4.0ms
(/ (sqrt 2.0) z)
8.0ms
(/ (sqrt 2.0) (- y t))
23.0ms
(* (* x (/ (sqrt 2.0) z)) (/ (sqrt 2.0) (- y t)))

simplify58.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
052952028

prune249.0ms

Filtered
121 candidates to 210 candidates (-73.6%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New2091210
Fresh156
Picked011
Done112
Total2118219

Merged error: 0b

Counts
219 → 8

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* x (/ 2.0 z))
4.7b
(/ (* x (/ 2.0 z)) (- y t))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
15×times-frac
13×associate-*r*
12×add-cube-cbrt
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp cbrt-unprod
3×associate-*l*
2×associate-*r/ associate-/r/ div-inv distribute-lft-out-- add-log-exp difference-of-squares unswap-sqr
1×flip3-- frac-2neg pow-prod-down clear-num *-commutative flip-- associate-/l/ associate-/l*
Counts
2 → 62
Calls
2 calls:
8.0ms
(* x (/ 2.0 z))
8.0ms
(/ (* x (/ 2.0 z)) (- y t))

series15.0ms

Counts
2 → 6
Calls
2 calls:
3.0ms
(* x (/ 2.0 z))
12.0ms
(/ (* x (/ 2.0 z)) (- y t))

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05436550

prune59.0ms

Filtered
45 candidates to 68 candidates (-51.1%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New67168
Fresh145
Picked011
Done112
Total69776

Merged error: 0b

Counts
76 → 7

regimes614.0ms

Accuracy

85.1% (0.9b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07270
17270

end0.0ms

sample510.0ms

Algorithm
intervals
Results
278.0ms8000×body80valid
30.0ms728×body80invalid

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