Details

Time bar (total: 9.4s)

sample47.0ms

Algorithm
intervals
Results
20.0ms276×body80valid

simplify308.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
18×*-un-lft-identity prod-diff
16×add-exp-log add-cube-cbrt add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv associate-*r/ div-exp
3×associate-*l*
2×expm1-log1p-u sub-neg flip3-- associate-/r/ flip-- log1p-expm1-u 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 → 71
Calls
2 calls:
55.0ms
(* z (- y t))
35.0ms
(/ (* x 2.0) (* z (- y t)))

series123.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(* z (- y t))
69.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.1s

Counts
77 → 77
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01451080
1324905
21205699
done5000675

prune175.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite40.0ms

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 expm1-log1p-u flip3-- frac-2neg prod-exp clear-num flip-- cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
Counts
1 → 68
Calls
1 calls:
36.0ms
(/ (/ (* x 2.0) z) (- y t))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: 2 (261.0ms)

IterNodesCost
01471093
13711045
21163971
done5000971

prune173.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
35×times-frac
25×add-cbrt-cube
23×add-cube-cbrt
21×associate-*r*
16×div-exp prod-exp
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×rec-exp 1-exp associate-/r/
3×div-inv associate-/l* unswap-sqr
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-times pow-flip frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num un-div-inv *-commutative inv-pow
Counts
2 → 107
Calls
2 calls:
13.0ms
(/ 1 (- y t))
52.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ 1 (- y t))
53.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

simplify2.1s

Counts
113 → 113
Iterations

Useful iterations: 2 (288.0ms)

IterNodesCost
01611400
14161158
21358972
done5000972

prune240.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
36×add-sqr-sqrt *-un-lft-identity
24×add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
10×associate-/r/
8×associate-/r*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out-- difference-of-squares
5×flip3-- flip--
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×associate-/l/
Counts
2 → 95
Calls
2 calls:
20.0ms
(/ (* x 2.0) (- y t))
36.0ms
(/ (/ (* x 2.0) (- y t)) z)

series171.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ (* x 2.0) (- y t))
123.0ms
(/ (/ (* x 2.0) (- y t)) z)

simplify1.5s

Counts
101 → 101
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
01691373
14101308
213651192
done50011192

prune315.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes244.0ms

Accuracy

59.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 5.5b

bsearch90.0ms

Steps
ItersRangePoint
6
6.405668428507795e-09
2.9210494299769893e-08
2.2688982000271057e-08
7
-4.179401188089465e+54
-2.243188915027544e+53
-2.274561628042614e+53

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02137
12635
done2635

end0.0ms

sample1.2s

Algorithm
intervals
Results
567.0ms8731×body80valid