Details

Time bar (total: 4.5s)

analyze761.0ms

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
12.0ms256×body80valid
1.0ms22×body80invalid

simplify20.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0194
1444
2824
31324
41754
52084
62214
72214

prune13.0ms

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: 5.1b

Counts
2 → 2

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ (* z (- y t)) 2.0)
5.1b
(/ x (/ (* z (- y t)) 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
27×add-sqr-sqrt
25×*-un-lft-identity
23×add-cube-cbrt
19×add-exp-log add-cbrt-cube
10×associate-/r*
7×cbrt-undiv div-exp
6×div-inv
5×pow1 associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* prod-exp cbrt-unprod add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-prod-down associate-/r/ *-commutative distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 97
Calls
3 calls:
8.0ms
(* z (- y t))
12.0ms
(/ (* z (- y t)) 2.0)
10.0ms
(/ x (/ (* z (- y t)) 2.0))

series36.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(* z (- y t))
10.0ms
(/ (* z (- y t)) 2.0)
16.0ms
(/ x (/ (* z (- y t)) 2.0))

simplify57.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0413592
11829518
25002515

prune181.0ms

Filtered
76 candidates to 106 candidates (-39.5%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh101
Picked101
Done000
Total1008108

Merged error: 0b

Counts
108 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
1.1b
(/ 2.0 (* z (- y t)))
5.0b
(* x (/ 2.0 (* z (- y t))))

rewrite37.0ms

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×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down *-commutative div-inv unswap-sqr
1×frac-2neg clear-num associate-/r* distribute-lft-out-- difference-of-squares
Counts
3 → 78
Calls
3 calls:
11.0ms
(* z (- y t))
12.0ms
(/ 2.0 (* z (- y t)))
10.0ms
(* 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))))

simplify41.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0276393
11366323
25001323

prune112.0ms

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

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New85287
Fresh257
Picked011
Done000
Total87895

Merged error: 0b

Counts
95 → 8

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.3b
(* (/ 1 z) (/ 2.0 (- y t)))
5.0b
(* x (* (/ 1 z) (/ 2.0 (- y t))))

rewrite39.0ms

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))
17.0ms
(* (/ 1 z) (/ 2.0 (- y t)))
11.0ms
(* x (* (/ 1 z) (/ 2.0 (- y t))))

series24.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ 2.0 (- y t))
7.0ms
(* (/ 1 z) (/ 2.0 (- y t)))
12.0ms
(* x (* (/ 1 z) (/ 2.0 (- y t))))

simplify57.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
0528814
12324672
25001665

prune155.0ms

Filtered
90 candidates to 141 candidates (-56.7%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New1401141
Fresh246
Picked011
Done011
Total1427149

Merged error: 0b

Counts
149 → 7

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* (/ 2.0 (- y t)) x)
5.2b
(/ (* (/ 2.0 (- y t)) x) z)

rewrite156.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*l*
19×add-exp-log add-cbrt-cube
8×associate-/r*
7×distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp
5×pow1
4×prod-exp associate-/r/ cbrt-unprod associate-/l*
3×associate-*r* div-inv add-log-exp
2×flip3-- frac-2neg associate-*l/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
6.0ms
(/ 2.0 (- y t))
10.0ms
(* (/ 2.0 (- y t)) x)
10.0ms
(/ (* (/ 2.0 (- y t)) x) z)

series58.0ms

Counts
3 → 9
Calls
3 calls:
9.0ms
(/ 2.0 (- y t))
23.0ms
(* (/ 2.0 (- y t)) x)
26.0ms
(/ (* (/ 2.0 (- y t)) x) z)

simplify46.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0353536
11532469
25001469

prune98.0ms

Filtered
78 candidates to 110 candidates (-41.0%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1100110
Fresh044
Picked011
Done022
Total1107117

Merged error: 0b

Counts
117 → 7

regimes305.0ms

Accuracy

45.9% (2.8b remaining)

Error of 2.8b against oracle of 0.0b and baseline of 5.2b

bsearch849.0ms

Steps
ItersRangePoint
9
5.623750507543591e-103
8.036772356692978e-97
5.511497961932089e-97
8
-3.5285294684366334e+97
-4.12846890579473e+94
-4.1923207770632654e+94

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02412
12412

end0.0ms

analyze707.0ms

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

sample611.0ms

Algorithm
intervals
Results
325.0ms8000×body80valid
32.0ms752×body80invalid

Profiling

Loading profile data...