Details

Time bar (total: 1.8m)

sample20.0ms

Algorithm
intervals
Results
11.0ms280×body80valid

simplify179.0ms

Counts
1 → 1
Iterations
IterNodes
done241
8241
7230
6201
5169
4123
380
244
120
010

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 2.0 (/ z x))
6.6b
(/ (/ 2.0 (/ z x)) (- y t))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
691×times-frac
389×add-sqr-sqrt *-un-lft-identity
299×add-cube-cbrt
47×associate-/l*
45×distribute-lft-out-- difference-of-squares
30×div-inv
18×associate-/r*
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp associate-/r/
2×expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
1×flip3-- flip-- associate-/l/
Counts
2 → 364
Calls
2 calls:
8.0ms
(/ 2.0 (/ z x))
37.0ms
(/ (/ 2.0 (/ z x)) (- y t))

series103.0ms

Counts
2 → 6
Calls
2 calls:
24.0ms
(/ 2.0 (/ z x))
79.0ms
(/ (/ 2.0 (/ z x)) (- y t))

simplify2.2s

Counts
370 → 370
Iterations
IterNodes
done5005
24290
11502
0570

prune1.9s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.8b
(/ 2.0 (/ (cbrt z) x))
1.3b
(/ (- y t) (/ 2.0 (/ (cbrt z) x)))
4.1b
(/ (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (/ (- y t) (/ 2.0 (/ (cbrt z) x))))

rewrite2.9s

Algorithm
rewrite-expression-head
Rules
47188×times-frac
19870×add-sqr-sqrt *-un-lft-identity
15892×add-cube-cbrt
3846×cbrt-prod
2042×div-inv
1989×distribute-lft-out-- difference-of-squares
532×associate-/r/
453×associate-/r*
310×add-exp-log
257×div-exp
84×add-cbrt-cube
69×cbrt-undiv
44×1-exp
34×associate-/l*
24×prod-exp
20×rec-exp
4×expm1-log1p-u pow1 cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-/l/
1×flip3-- pow1/3 div-sub flip--
Counts
4 → 10418
Calls
4 calls:
1.0ms
(cbrt z)
11.0ms
(/ 2.0 (/ (cbrt z) x))
53.0ms
(/ (- y t) (/ 2.0 (/ (cbrt z) x)))
347.0ms
(/ (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (/ (- y t) (/ 2.0 (/ (cbrt z) x))))

series760.0ms

Counts
4 → 12
Calls
4 calls:
231.0ms
(cbrt z)
154.0ms
(/ 2.0 (/ (cbrt z) x))
193.0ms
(/ (- y t) (/ 2.0 (/ (cbrt z) x)))
181.0ms
(/ (/ 1 (/ (* (cbrt z) (cbrt z)) 1)) (/ (- y t) (/ 2.0 (/ (cbrt z) x))))

simplify13.2s

Counts
10430 → 10430
Iterations
IterNodes
done13006
013006

prune1.3m

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.9b
(/ 2.0 (* (- y t) (/ z x)))
5.3b
(* (- y t) (/ z x))

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×add-cbrt-cube add-exp-log
14×*-un-lft-identity
13×times-frac associate-*r*
12×add-cube-cbrt
5×cbrt-undiv div-exp associate-*l* associate-/r/
4×frac-times pow1 flip3-- associate-*l/ prod-exp cbrt-unprod flip--
3×associate-/l*
2×expm1-log1p-u associate-*r/ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num associate-/r* frac-2neg pow-prod-down *-commutative distribute-lft-out-- difference-of-squares
Counts
2 → 72
Calls
2 calls:
15.0ms
(/ 2.0 (* (- y t) (/ z x)))
40.0ms
(* (- y t) (/ z x))

series274.0ms

Counts
2 → 6
Calls
2 calls:
201.0ms
(/ 2.0 (* (- y t) (/ z x)))
73.0ms
(* (- y t) (/ z x))

simplify1.6s

Counts
78 → 78
Iterations
IterNodes
done5002
21219
1355
0142

prune448.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y t) z)
1.1b
(/ 2.0 (* (- y t) z))
5.7b
(* (/ 2.0 (* (- y t) z)) x)

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
19×add-cbrt-cube add-exp-log
16×add-sqr-sqrt
14×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt
7×pow1 associate-*l/
6×times-frac associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-/r/
3×expm1-log1p-u flip3-- insert-posit16 log1p-expm1-u flip-- associate-/l* add-log-exp
2×pow-prod-down *-commutative div-inv unswap-sqr
1×clear-num associate-/r* frac-2neg distribute-lft-out-- difference-of-squares
Counts
3 → 83
Calls
3 calls:
32.0ms
(* (- y t) z)
27.0ms
(/ 2.0 (* (- y t) z))
107.0ms
(* (/ 2.0 (* (- y t) z)) x)

series301.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(* (- y t) z)
100.0ms
(/ 2.0 (* (- y t) z))
166.0ms
(* (/ 2.0 (* (- y t) z)) x)

simplify1.5s

Counts
92 → 92
Iterations
IterNodes
done5001
21117
1303
0130

prune391.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes351.0ms

Accuracy

54.9% (2.3b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 5.1b

bsearch86.0ms

Steps
ItersRangePoint
8
38910778292.312386
1894903939847283.5
6920936089083.012
6
-4.0626767700977905e-56
-5.408670184405907e-57
-3.6423821146328647e-56

simplify5.0ms

Iterations
IterNodes
done23
123
018

end0.0ms

sample978.0ms

Algorithm
intervals
Results
707.0ms8735×body80valid