Details

Time bar (total: 11.1s)

sample31.0ms

Algorithm
intervals
Results
16.0ms277×body80valid

simplify278.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (3.0ms)

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

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
6.6b
(/ (* x 2.0) (* z (- y t)))

rewrite76.0ms

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:
41.0ms
(* z (- y t))
30.0ms
(/ (* x 2.0) (* z (- y t)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(* z (- y t))
77.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.0s

Counts
77 → 77
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01451080
1324905
21205699
done5000675

prune128.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

5.6b
(/ (/ (* x 2.0) z) (- y t))

rewrite27.0ms

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

series51.0ms

Counts
1 → 3
Calls
1 calls:
51.0ms
(/ (/ (* x 2.0) z) (- y t))

simplify1.2s

Counts
71 → 71
Iterations

Useful iterations: 2 (189.0ms)

IterNodesCost
01471093
13711045
21163971
done5000971

prune163.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite57.0ms

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×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-times frac-2neg associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative
Counts
2 → 99
Calls
2 calls:
11.0ms
(/ 2.0 (- y t))
42.0ms
(* (/ x z) (/ 2.0 (- y t)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(/ 2.0 (- y t))
60.0ms
(* (/ x z) (/ 2.0 (- y t)))

simplify3.4s

Counts
105 → 105
Iterations

Useful iterations: 2 (297.0ms)

IterNodesCost
01571173
14041124
213041012
349811012
done50001012

prune296.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.3b
(* (/ x z) (sqrt 2.0))
0.5b
(/ (sqrt 2.0) (- y t))
5.7b
(* (* (/ x z) (sqrt 2.0)) (/ (sqrt 2.0) (- y t)))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
74×*-un-lft-identity
71×times-frac
48×add-cube-cbrt
42×associate-*r*
38×sqrt-prod
31×add-exp-log add-cbrt-cube
14×associate-*l*
13×distribute-lft-out-- difference-of-squares
12×prod-exp cbrt-unprod
10×pow1
7×cbrt-undiv div-exp
6×associate-/l*
5×associate-/r*
4×pow-prod-down associate-*l/ associate-/r/ unswap-sqr
3×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×flip3-- *-commutative flip--
1×frac-times frac-2neg associate-*r/ clear-num
Counts
3 → 160
Calls
3 calls:
25.0ms
(* (/ x z) (sqrt 2.0))
18.0ms
(/ (sqrt 2.0) (- y t))
87.0ms
(* (* (/ x z) (sqrt 2.0)) (/ (sqrt 2.0) (- y t)))

series376.0ms

Counts
3 → 9
Calls
3 calls:
67.0ms
(* (/ x z) (sqrt 2.0))
88.0ms
(/ (sqrt 2.0) (- y t))
221.0ms
(* (* (/ x z) (sqrt 2.0)) (/ (sqrt 2.0) (- y t)))

simplify1.7s

Counts
169 → 169
Iterations

Useful iterations: 2 (406.0ms)

IterNodesCost
02092227
15181910
220571718
done50001718

prune439.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes363.0ms

Accuracy

3.6% (5.5b remaining)

Error of 5.5b against oracle of 0.0b and baseline of 5.7b

bsearch205.0ms

Steps
ItersRangePoint
10
1.437018032307489e+167
1.1612423544125804e+182
1.538759424307254e+171
9
4.7146917033201894e+110
1.2684740810870691e+120
2.2460746639592885e+111
9
2.762608743881804e-299
8.068763620842616e-290
6.17105738286754e-299
8
-4.25163740004515e+212
-1.7514531563118387e+208
-2.55822573448063e+208

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02661
12961
done2961

end0.0ms

sample888.0ms

Algorithm
intervals
Results
578.0ms8756×body80valid