Details

Time bar (total: 8.9s)

sample26.0ms

Algorithm
intervals
Results
11.0ms279×body80valid

simplify248.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1199
2449
3829
41329
51799
62129
72309
82349
done2349

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.5b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.4b
(/ (* x 2.0) (* z (- y t)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
16×add-exp-log add-cbrt-cube
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r* prod-exp cbrt-unprod
4×pow1 cbrt-undiv add-cube-cbrt associate-*r/ div-exp
3×associate-*l*
2×distribute-rgt-in sub-neg flip3-- distribute-lft-in associate-/r/ flip-- 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 → 49
Calls
2 calls:
25.0ms
(* z (- y t))
21.0ms
(/ (* x 2.0) (* z (- y t)))

series102.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(* z (- y t))
50.0ms
(/ (* x 2.0) (* z (- y t)))

simplify732.0ms

Counts
55 → 55
Iterations

Useful iterations: done (730.0ms)

IterNodesCost
093556
1260543
21413437
done5002427

prune105.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.8b
(/ 1 (* z (- y t)))
5.1b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite107.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
14×associate-*r*
13×pow1 add-sqr-sqrt cbrt-unprod
12×div-exp
11×*-un-lft-identity
9×add-cube-cbrt
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-/r/
3×flip3-- flip-- associate-/l* add-log-exp
2×distribute-rgt-in sub-neg pow-flip distribute-lft-in *-commutative div-inv
1×frac-2neg clear-num associate-/r* un-div-inv distribute-lft-out-- inv-pow difference-of-squares unswap-sqr
Counts
3 → 98
Calls
3 calls:
21.0ms
(* z (- y t))
21.0ms
(/ 1 (* z (- y t)))
62.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series121.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* z (- y t))
28.0ms
(/ 1 (* z (- y t)))
54.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify1.4s

Counts
107 → 107
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01391165
14051053
22442828
done5001816

prune272.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.5b
(+ (* y z) (* (- t) z))
5.4b
(/ (* x 2.0) (+ (* y z) (* (- t) z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
7×add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r* add-log-exp
3×distribute-rgt-out
2×pow1 cbrt-undiv distribute-lft-neg-out flip3-+ div-exp associate-/r/ flip-+
1×+-commutative frac-2neg unsub-neg prod-exp clear-num sum-log cbrt-unprod div-inv associate-/l*
Counts
2 → 39
Calls
2 calls:
12.0ms
(+ (* y z) (* (- t) z))
23.0ms
(/ (* x 2.0) (+ (* y z) (* (- t) z)))

series152.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(+ (* y z) (* (- t) z))
102.0ms
(/ (* x 2.0) (+ (* y z) (* (- t) z)))

simplify882.0ms

Counts
45 → 45
Iterations

Useful iterations: done (880.0ms)

IterNodesCost
079630
1229471
21168409
done5000402

prune132.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (/ x (cbrt (* z (- y t)))) (cbrt (* z (- y t))))
13.9b
(cbrt (* z (- y t)))
13.9b
(cbrt (* z (- y t)))
13.9b
(cbrt (* z (- y t)))

rewrite75.0ms

Algorithm
rewrite-expression-head
Rules
132×times-frac
63×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
37×cbrt-prod
18×cbrt-div associate-*r/ associate-/l*
12×associate-/r/
9×add-exp-log flip3-- flip--
6×add-cbrt-cube div-inv
4×pow1 associate-/r* add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×frac-2neg clear-num associate-/l/
Counts
4 → 144
Calls
4 calls:
35.0ms
(/ (/ x (cbrt (* z (- y t)))) (cbrt (* z (- y t))))
10.0ms
(cbrt (* z (- y t)))
10.0ms
(cbrt (* z (- y t)))
10.0ms
(cbrt (* z (- y t)))

series864.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(/ (/ x (cbrt (* z (- y t)))) (cbrt (* z (- y t))))
210.0ms
(cbrt (* z (- y t)))
208.0ms
(cbrt (* z (- y t)))
213.0ms
(cbrt (* z (- y t)))

simplify1.2s

Counts
156 → 156
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02903523
17003428
227873266
done50003153

prune600.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes226.0ms

Accuracy

51.4% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 5.9b

bsearch104.0ms

Steps
ItersRangePoint
9
1.1375622696818685e-107
2.6665792587040808e-102
2.6354942504987257e-102
8
-1.350243324689865e+150
-2.9943639430155167e+147
-3.0217620824107815e+147

simplify10.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02038
12930
23330
33430
done3430

end0.0ms

sample1.4s

Algorithm
intervals
Results
546.0ms8755×body80valid