Details

Time bar (total: 5.7s)

sample21.0ms

Algorithm
intervals
Results
9.0ms279×body80valid

simplify127.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3819
41259
51659
61949
72059
done2059

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.4b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.4b
(/ (* x 2.0) (* z (- y t)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 49
Calls
2 calls:
10.0ms
(* z (- y t))
6.0ms
(/ (* x 2.0) (* z (- y t)))

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* z (- y t))
47.0ms
(/ (* x 2.0) (* z (- y t)))

simplify876.0ms

Counts
55 → 55
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
093556
1250543
21091427
done5000427

prune105.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.4b
(/ (* x 2.0) (* 1 (* z (- y t))))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log
25×add-cbrt-cube
18×prod-exp
10×div-exp cbrt-unprod
8×add-sqr-sqrt
6×cbrt-undiv *-un-lft-identity associate-*r/
5×associate-*r*
4×pow1 add-cube-cbrt 1-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- add-log-exp
1×frac-2neg times-frac pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 57
Calls
2 calls:
9.0ms
(* z (- y t))
13.0ms
(/ (* x 2.0) (* 1 (* z (- y t))))

series82.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(* z (- y t))
44.0ms
(/ (* x 2.0) (* 1 (* z (- y t))))

simplify755.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (154.0ms)

IterNodesCost
0116779
1341663
21392507
done5000507

prune103.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.2b
(/ 1 (* z (- y t)))
4.5b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
14×associate-*r*
13×pow1 add-sqr-sqrt cbrt-unprod
12×div-exp
11×*-un-lft-identity
9×add-cube-cbrt
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv
1×frac-2neg clear-num associate-/r* un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 98
Calls
3 calls:
9.0ms
(* z (- y t))
8.0ms
(/ 1 (* z (- y t)))
26.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series108.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* z (- y t))
27.0ms
(/ 1 (* z (- y t)))
46.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify1.3s

Counts
107 → 107
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
01391165
13781006
21225798
done5001798

prune157.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.7b
(/ 1 (/ (* z (- y t)) (* x 2.0)))
4.2b
(/ (* z (- y t)) (* x 2.0))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
35×add-cbrt-cube
26×div-exp
20×times-frac
19×add-sqr-sqrt
17×*-un-lft-identity prod-exp
15×add-cube-cbrt
13×cbrt-undiv
9×cbrt-unprod
6×pow1 associate-/r* div-inv
5×rec-exp 1-exp associate-*r*
4×associate-*r/ associate-/l*
3×associate-*l* add-log-exp
2×distribute-rgt-in sub-neg flip3-- frac-2neg distribute-lft-in clear-num flip-- associate-/l/
1×pow-flip pow-prod-down associate-/r/ *-commutative distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 105
Calls
3 calls:
9.0ms
(* z (- y t))
10.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
7.0ms
(/ (* z (- y t)) (* x 2.0))

series195.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(* z (- y t))
93.0ms
(/ 1 (/ (* z (- y t)) (* x 2.0)))
64.0ms
(/ (* z (- y t)) (* x 2.0))

simplify764.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
01691556
14531408
217051132
done50001132

prune148.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

59.3% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.8b

bsearch72.0ms

Steps
ItersRangePoint
8
3.9920367094066775e+70
1.3128586934298357e+74
3.071234821651189e+72
6
-1.3754745118843937e+46
-1.674724446095358e+45
-2.7901145904076587e+45

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
02143
13030
done3030

end0.0ms

sample501.0ms

Algorithm
intervals
Results
268.0ms8740×body80valid