Details

Time bar (total: 13.2s)

sample24.0ms

Algorithm
intervals
Results
10.0ms276×body80valid

simplify188.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51739
61989
72049
done2049

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.5b
(/ (* x 2.0) (* z (- y t)))

rewrite43.0ms

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:
21.0ms
(* z (- y t))
20.0ms
(/ (* x 2.0) (* z (- y t)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(* z (- y t))
70.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.1s

Counts
55 → 55
Iterations

Useful iterations: 2 (160.0ms)

IterNodesCost
093556
1243543
21070427
done5000427

prune137.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
53×times-frac
37×add-sqr-sqrt *-un-lft-identity
21×add-cube-cbrt
10×add-exp-log add-cbrt-cube
8×distribute-lft-out-- difference-of-squares
7×div-inv associate-/l*
5×cbrt-undiv div-exp associate-/r*
2×associate-/r/
1×pow1 flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod associate-/l/ add-log-exp
Counts
1 → 66
Calls
1 calls:
25.0ms
(/ (/ (* x 2.0) z) (- y t))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.4s

Counts
69 → 69
Iterations

Useful iterations: 2 (279.0ms)

IterNodesCost
01451073
13681025
21163951
done5001951

prune251.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite88.0ms

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:
23.0ms
(/ 2.0 (- y t))
57.0ms
(* (/ x z) (/ 2.0 (- y t)))

series144.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ 2.0 (- y t))
70.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify3.6s

Counts
101 → 101
Iterations

Useful iterations: 2 (259.0ms)

IterNodesCost
01531141
13991092
21303980
34981980
done5001980

prune660.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.2b
(* x (/ 2.0 (- y t)))
4.9b
(/ (* x (/ 2.0 (- y t))) z)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
44×add-sqr-sqrt
39×*-un-lft-identity
34×times-frac
25×add-cube-cbrt
21×associate-*r*
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-*l* div-inv add-log-exp
2×flip3-- frac-2neg associate-*r/ clear-num flip-- unswap-sqr
1×pow-prod-down *-commutative associate-/l/
Counts
3 → 101
Calls
3 calls:
17.0ms
(/ 2.0 (- y t))
46.0ms
(* x (/ 2.0 (- y t)))
18.0ms
(/ (* x (/ 2.0 (- y t))) z)

series195.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ 2.0 (- y t))
41.0ms
(* x (/ 2.0 (- y t)))
92.0ms
(/ (* x (/ 2.0 (- y t))) z)

simplify3.3s

Counts
110 → 110
Iterations

Useful iterations: 2 (252.0ms)

IterNodesCost
01481124
13371070
21030936
34483936
done5000936

prune356.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes287.0ms

Accuracy

59.5% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.6b

bsearch88.0ms

Steps
ItersRangePoint
6
6.405668428507795e-09
2.9210494299769893e-08
2.2688982000271057e-08
7
-4.179401188089465e+54
-2.243188915027544e+53
-2.776525036283728e+53

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02035
12435
done2435

end0.0ms

sample1.1s

Algorithm
intervals
Results
551.0ms8731×body80valid