Details

Time bar (total: 11.5s)

sample41.0ms

Algorithm
intervals
Results
18.0ms275×body80valid

simplify397.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
4.8b
(/ (* x 2.0) (* z (- y t)))

rewrite94.0ms

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:
53.0ms
(* z (- y t))
35.0ms
(/ (* x 2.0) (* z (- y t)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(* z (- y t))
57.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01451080
1324905
21205699
done5000675

prune241.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

3.5b
(/ (/ (* x 2.0) z) (- y t))

rewrite39.0ms

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:
35.0ms
(/ (/ (* x 2.0) z) (- y t))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.3s

Counts
71 → 71
Iterations

Useful iterations: 2 (255.0ms)

IterNodesCost
01471093
13711045
21163971
done5000971

prune299.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- y t))
3.6b
(* (/ (* x 2.0) z) (/ 1 (- y t)))

rewrite134.0ms

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:
24.0ms
(/ 1 (- y t))
100.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

series106.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(/ 1 (- y t))
68.0ms
(* (/ (* x 2.0) z) (/ 1 (- y t)))

simplify2.4s

Counts
113 → 113
Iterations

Useful iterations: 2 (353.0ms)

IterNodesCost
01611400
14161158
21358972
done5000972

prune277.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ 2.0 (- y t))
0.3b
(/ (/ 2.0 (- y t)) z)
4.8b
(* (/ x 1) (/ (/ 2.0 (- y t)) z))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
270×times-frac
207×add-sqr-sqrt
180×*-un-lft-identity
127×add-cube-cbrt
67×associate-*r*
40×add-exp-log
31×add-cbrt-cube
25×distribute-lft-out-- difference-of-squares
24×associate-/l*
19×div-exp
16×associate-/r/
13×cbrt-undiv associate-*l*
11×div-inv
9×prod-exp unswap-sqr
8×flip3-- associate-/r* flip--
6×cbrt-unprod
5×pow1
3×expm1-log1p-u 1-exp log1p-expm1-u add-log-exp
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative associate-/l/
Counts
3 → 261
Calls
3 calls:
22.0ms
(/ 2.0 (- y t))
27.0ms
(/ (/ 2.0 (- y t)) z)
93.0ms
(* (/ x 1) (/ (/ 2.0 (- y t)) z))

series254.0ms

Counts
3 → 9
Calls
3 calls:
59.0ms
(/ 2.0 (- y t))
87.0ms
(/ (/ 2.0 (- y t)) z)
107.0ms
(* (/ x 1) (/ (/ 2.0 (- y t)) z))

simplify1.8s

Counts
270 → 270
Iterations

Useful iterations: 2 (644.0ms)

IterNodesCost
03563972
18683449
223773239
done50003239

prune983.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes210.0ms

Accuracy

55.5% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.6b

bsearch111.0ms

Steps
ItersRangePoint
9
1.8841028477782506e-118
1.4602765066234025e-113
7.107769431036534e-114
10
-7.013981961232763e-11
-3.387614609507101e-22
-2.2005235007262074e-21

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01937
12629
done2629

end0.0ms

sample1.1s

Algorithm
intervals
Results
487.0ms8705×body80valid