Details

Time bar (total: 9.2s)

sample21.0ms

Algorithm
intervals
Results
8.0ms284×body80valid

simplify217.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01011
1209
2469
3889
41389
51869
62249
72399
82429
done2429

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.9b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* z (- y t))
5.9b
(/ (* x 2.0) (* z (- y t)))

rewrite43.0ms

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:
22.0ms
(* z (- y t))
16.0ms
(/ (* x 2.0) (* z (- y t)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
36.0ms
(* z (- y t))
47.0ms
(/ (* x 2.0) (* z (- y t)))

simplify688.0ms

Counts
77 → 77
Iterations

Useful iterations: done (686.0ms)

IterNodesCost
01451080
1324905
21205699
done5000675

prune117.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(* z (- y t))
0.6b
(/ 1 (* z (- y t)))
5.9b
(* (* x 2.0) (/ 1 (* z (- y t))))

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
61×add-exp-log
31×prod-exp add-cbrt-cube
25×add-sqr-sqrt
23×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
14×associate-*r*
13×pow1 cbrt-unprod
12×div-exp
11×distribute-rgt-in distribute-lft-in
7×associate-*r/
6×cbrt-undiv rec-exp times-frac 1-exp
5×pow-prod-down
4×associate-*l* associate-/r/
3×expm1-log1p-u flip3-- flip-- log1p-expm1-u associate-/l* add-log-exp
2×sub-neg pow-flip *-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 → 122
Calls
3 calls:
22.0ms
(* z (- y t))
18.0ms
(/ 1 (* z (- y t)))
57.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(* z (- y t))
27.0ms
(/ 1 (* z (- y t)))
48.0ms
(* (* x 2.0) (/ 1 (* z (- y t))))

simplify1.7s

Counts
131 → 131
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01931709
14211384
213191086
done50001062

prune180.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ (/ 1 z) (- y t))
5.9b
(* (* x 2.0) (/ (/ 1 z) (- y t)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
229×times-frac
161×add-sqr-sqrt *-un-lft-identity
107×add-cube-cbrt
71×associate-*r*
46×add-exp-log
28×add-cbrt-cube
27×distribute-lft-out-- difference-of-squares
18×div-exp
15×prod-exp
13×div-inv associate-/l*
9×cbrt-undiv cbrt-unprod
7×pow1
5×associate-/r*
4×associate-/r/
3×rec-exp 1-exp pow-prod-down
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative associate-/l/
Counts
2 → 205
Calls
2 calls:
21.0ms
(/ (/ 1 z) (- y t))
47.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

series81.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(/ (/ 1 z) (- y t))
49.0ms
(* (* x 2.0) (/ (/ 1 z) (- y t)))

simplify1.3s

Counts
211 → 211
Iterations

Useful iterations: 2 (392.0ms)

IterNodesCost
02793193
17912691
221942408
done50012408

prune344.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
0.5b
(cbrt (- y t))
4.4b
(* (/ (* 2.0 x) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ (cbrt 1) z) (cbrt (- y t))))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
335×times-frac
237×add-sqr-sqrt
209×*-un-lft-identity
205×cbrt-prod
182×associate-*r*
157×add-cube-cbrt
73×add-exp-log
46×add-cbrt-cube
27×cbrt-undiv div-exp prod-exp cbrt-unprod
25×distribute-lft-out-- difference-of-squares
20×cbrt-div
13×associate-*l*
10×flip3-- associate-/r/ flip-- div-inv
9×unswap-sqr
6×pow1
5×frac-times
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3 associate-*r/ associate-*l/
1×pow-prod-down *-commutative
Counts
4 → 299
Calls
4 calls:
4.0ms
(cbrt (- y t))
4.0ms
(cbrt (- y t))
4.0ms
(cbrt (- y t))
167.0ms
(* (/ (* 2.0 x) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ (cbrt 1) z) (cbrt (- y t))))

series537.0ms

Counts
4 → 12
Calls
4 calls:
154.0ms
(cbrt (- y t))
150.0ms
(cbrt (- y t))
151.0ms
(cbrt (- y t))
83.0ms
(* (/ (* 2.0 x) (* (cbrt (- y t)) (cbrt (- y t)))) (/ (/ (cbrt 1) z) (cbrt (- y t))))

simplify1.7s

Counts
311 → 311
Iterations

Useful iterations: done (1.7s)

IterNodesCost
05407837
116786757
247065833
done50005815

prune773.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0b

regimes301.0ms

Accuracy

42.5% (2.2b remaining)

Error of 2.3b against oracle of 0.0b and baseline of 3.9b

bsearch87.0ms

Steps
ItersRangePoint
10
5.4495354996194874e+29
1.5661119340438796e+42
2.629606188374439e+36
8
-3.0861645467200828e+84
-5.6264262905700496e+81
-6.233745507656148e+81

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03262
13760
done3760

end0.0ms

sample550.0ms

Algorithm
intervals
Results
245.0ms8770×body80valid