Details

Time bar (total: 11.0s)

sample34.0ms

Algorithm
intervals
Results
13.0ms280×body80valid

simplify370.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.3b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.3b
(/ (* x 2.0) (* z (- y t)))

rewrite85.0ms

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:
47.0ms
(* z (- y t))
33.0ms
(/ (* x 2.0) (* z (- y t)))

series133.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* z (- y t))
72.0ms
(/ (* x 2.0) (* z (- y t)))

simplify1.2s

Counts
77 → 77
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01451080
1324905
21205699
done5000675

prune188.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.3b
(/ (* x 2.0) (+ (* z (- y t)) (* z (+ (- t) t))))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
20×*-un-lft-identity
18×add-cube-cbrt prod-diff
11×distribute-rgt-in distribute-lft-in
10×associate-*r/
9×add-exp-log add-cbrt-cube
6×associate-/r/
5×associate-*r*
4×pow1 times-frac frac-add associate-/r*
3×flip3-- flip3-+ associate-*l* flip-- flip-+
2×cbrt-undiv expm1-log1p-u sub-neg div-exp prod-exp cbrt-unprod log1p-expm1-u distribute-lft-out add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 77
Calls
2 calls:
39.0ms
(* z (- y t))
50.0ms
(/ (* x 2.0) (+ (* z (- y t)) (* z (+ (- t) t))))

series110.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(* z (- y t))
66.0ms
(/ (* x 2.0) (+ (* z (- y t)) (* z (+ (- t) t))))

simplify1.7s

Counts
83 → 83
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01951507
14841233
21762980
done5000831

prune262.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* x 2.0) (- y (- t 0)))
0.7b
(/ 1 (/ z (/ (* x 2.0) (- y (- t 0)))))
4.2b
(/ z (/ (* x 2.0) (- y (- t 0))))

rewrite282.0ms

Algorithm
rewrite-expression-head
Rules
405×times-frac
234×*-un-lft-identity
180×add-sqr-sqrt
144×add-cube-cbrt
59×associate-/r*
54×distribute-lft-out--
51×add-exp-log
40×associate-/r/
31×add-cbrt-cube
30×div-exp
23×div-inv
18×difference-of-squares
17×flip3-- flip--
16×cbrt-undiv
7×associate-/l*
5×prod-exp
4×pow1 rec-exp 1-exp
3×expm1-log1p-u frac-2neg clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×pow-flip inv-pow
Counts
3 → 299
Calls
3 calls:
70.0ms
(/ (* x 2.0) (- y (- t 0)))
102.0ms
(/ 1 (/ z (/ (* x 2.0) (- y (- t 0)))))
71.0ms
(/ z (/ (* x 2.0) (- y (- t 0))))

series268.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(/ (* x 2.0) (- y (- t 0)))
93.0ms
(/ 1 (/ z (/ (* x 2.0) (- y (- t 0)))))
122.0ms
(/ z (/ (* x 2.0) (- y (- t 0))))

simplify1.7s

Counts
308 → 308
Iterations

Useful iterations: 2 (682.0ms)

IterNodesCost
04156592
19464899
227674416
done50004416

prune727.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (* x 2.0) (- y (- t 0)))
4.3b
(* (/ 1 z) (/ (* x 2.0) (- y (- t 0))))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
29×*-un-lft-identity
28×add-cbrt-cube
26×add-sqr-sqrt
23×times-frac
17×prod-exp
16×div-exp
13×add-cube-cbrt associate-*l*
12×associate-*r*
9×cbrt-undiv cbrt-unprod distribute-lft-out--
6×associate-/r*
4×pow1 associate-/r/
3×rec-exp 1-exp div-inv difference-of-squares unswap-sqr
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 associate-/l*
Counts
2 → 91
Calls
2 calls:
60.0ms
(/ (* x 2.0) (- y (- t 0)))
104.0ms
(* (/ 1 z) (/ (* x 2.0) (- y (- t 0))))

series147.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ (* x 2.0) (- y (- t 0)))
93.0ms
(* (/ 1 z) (/ (* x 2.0) (- y (- t 0))))

simplify2.1s

Counts
97 → 97
Iterations

Useful iterations: 2 (299.0ms)

IterNodesCost
01531484
14001097
21482887
done5001887

prune259.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes200.0ms

Accuracy

54.3% (2.5b remaining)

Error of 2.5b against oracle of 0.0b and baseline of 5.5b

bsearch82.0ms

Steps
ItersRangePoint
4
4.318913290231409e+39
7.877200474791509e+39
5.681626209917896e+39
10
-1.1442587589716112e+42
-9.902939108641017e+29
-1.79739426943957e+33

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02854
13550
done3550

end0.0ms

sample894.0ms

Algorithm
intervals
Results
399.0ms8731×body80valid