Details

Time bar (total: 3.8s)

analyze619.0ms

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
1.0ms18×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01149
11149

prune14.0ms

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: 6.8b

Counts
2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.6b
(/ 2.0 (* z (- y t)))
6.6b
(* x (/ 2.0 (* z (- y t))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
9×add-sqr-sqrt associate-*r*
7×add-cube-cbrt *-un-lft-identity
6×times-frac
5×associate-*r/ prod-exp cbrt-unprod
4×pow1 cbrt-undiv div-exp associate-/r/
3×associate-*l* associate-/l*
2×flip3-- flip-- div-inv add-log-exp
1×frac-2neg pow-prod-down clear-num associate-/r* *-commutative unswap-sqr
Counts
2 → 52
Calls
2 calls:
6.0ms
(/ 2.0 (* z (- y t)))
8.0ms
(* x (/ 2.0 (* z (- y t))))

series18.0ms

Counts
2 → 6
Calls
2 calls:
7.0ms
(/ 2.0 (* z (- y t)))
11.0ms
(* x (/ 2.0 (* z (- y t))))

simplify54.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
05004492

prune89.0ms

Filtered
40 candidates to 58 candidates (-45.0%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New52658
Fresh101
Picked011
Done000
Total53760

Merged error: 0.0b

Counts
60 → 7

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 2.0 (- y t))
4.9b
(* (/ x z) (/ 2.0 (- y t)))

rewrite21.0ms

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)))

simplify67.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
04991980
14991980

prune127.0ms

Filtered
70 candidates to 101 candidates (-44.3%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New983101
Fresh235
Picked011
Done011
Total1008108

Merged error: 0b

Counts
108 → 8

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
16×add-exp-log *-un-lft-identity add-cbrt-cube
15×times-frac
13×associate-*l*
12×add-cube-cbrt
5×cbrt-undiv div-exp associate-/r*
4×pow1 prod-exp cbrt-unprod
3×associate-*r*
2×associate-*l/ 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:
6.0ms
(* (/ x z) 2.0)
8.0ms
(/ (* (/ x z) 2.0) (- y t))

series15.0ms

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

simplify35.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
05264543

prune85.0ms

Filtered
46 candidates to 68 candidates (-47.8%)
Pruning

8 alts after pruning (5 fresh and 3 done)

PrunedKeptTotal
New68068
Fresh055
Picked011
Done022
Total68876

Merged error: 0b

Counts
76 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (/ (sqrt 2.0) z))
0.4b
(/ (sqrt 2.0) z)
0.5b
(/ (sqrt 2.0) (- y t))
4.9b
(* (* x (/ (sqrt 2.0) z)) (/ (sqrt 2.0) (- y t)))

rewrite219.0ms

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))
193.0ms
(* (* x (/ (sqrt 2.0) z)) (/ (sqrt 2.0) (- y t)))

series37.0ms

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))
21.0ms
(* (* x (/ (sqrt 2.0) z)) (/ (sqrt 2.0) (- y t)))

simplify67.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
051322029

prune234.0ms

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

8 alts after pruning (4 fresh and 4 done)

PrunedKeptTotal
New2100210
Fresh044
Picked011
Done033
Total2108218

Merged error: 0b

Counts
218 → 8

regimes449.0ms

Accuracy

53.2% (2.7b remaining)

Error of 2.7b against oracle of 0.0b and baseline of 5.7b

bsearch347.0ms

Steps
ItersRangePoint
5
3723617812715.48
12505414926116.502
6731197093309.679
5
-4.6663962584189496e+154
-1.3713468735954863e+154
-1.4073254993549903e+154

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03041
13041

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

sample534.0ms

Algorithm
intervals
Results
303.0ms8000×body80valid
25.0ms700×body80invalid

Profiling

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