Details

Time bar (total: 18.8s)

sample93.0ms

Algorithm
intervals
Results
50.0ms419×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01821
13821
211221
337421
4120021
done500121

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- t 1.0) a)
0.0b
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
0.0b
(* (- y 1.0) z)
0.0b
(* (- (+ y t) 2.0) b)

rewrite435.0ms

Algorithm
rewrite-expression-head
Rules
26×associate-*l/
22×add-sqr-sqrt
19×flip3-- *-un-lft-identity flip--
16×associate-*l*
13×add-log-exp
12×frac-add
10×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
9×associate-*r*
8×frac-sub
4×associate-+l+ distribute-lft-out--
3×diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod difference-of-squares unswap-sqr
2×sub-neg associate--l+
1×+-commutative associate-+l- flip3-+ flip-+ distribute-lft-out
Counts
4 → 97
Calls
4 calls:
29.0ms
(* (- t 1.0) a)
206.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
28.0ms
(* (- y 1.0) z)
163.0ms
(* (- (+ y t) 2.0) b)

series401.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (- t 1.0) a)
275.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
42.0ms
(* (- y 1.0) z)
47.0ms
(* (- (+ y t) 2.0) b)

simplify2.6s

Counts
109 → 109
Iterations

Useful iterations: 2 (853.0ms)

IterNodesCost
02662710
18832499
243572403
done50002403

prune485.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
0.2b
(cbrt (- t 1.0))
0.2b
(cbrt (- t 1.0))
0.2b
(cbrt (- t 1.0))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 101
Calls
4 calls:
83.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
7.0ms
(cbrt (- t 1.0))
8.0ms
(cbrt (- t 1.0))
4.0ms
(cbrt (- t 1.0))

series619.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
132.0ms
(cbrt (- t 1.0))
165.0ms
(cbrt (- t 1.0))
154.0ms
(cbrt (- t 1.0))

simplify1.8s

Counts
113 → 113
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01671563
13701421
29471353
325011256
done50001244

prune717.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
0.6b
(cbrt (* (- (+ y t) 2.0) b))
0.6b
(cbrt (* (- (+ y t) 2.0) b))
0.6b
(cbrt (* (- (+ y t) 2.0) b))

rewrite417.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
203.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
66.0ms
(cbrt (* (- (+ y t) 2.0) b))
68.0ms
(cbrt (* (- (+ y t) 2.0) b))
76.0ms
(cbrt (* (- (+ y t) 2.0) b))

series760.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
192.0ms
(cbrt (* (- (+ y t) 2.0) b))
167.0ms
(cbrt (* (- (+ y t) 2.0) b))
160.0ms
(cbrt (* (- (+ y t) 2.0) b))

simplify1.9s

Counts
84 → 84
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01591864
13831721
29941572
332531315
done50021247

prune478.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* (- (+ y t) 2.0) b))
0.6b
(cbrt (* (- (+ y t) 2.0) b))
0.6b
(cbrt (* (- (+ y t) 2.0) b))
1.1b
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) (+ 4 1))

rewrite208.0ms

Algorithm
rewrite-expression-head
Rules
9×*-un-lft-identity
8×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt unpow-prod-down
6×cbrt-div associate-*l/
5×pow1 add-exp-log
4×pow-unpow pow1/3 add-cbrt-cube add-log-exp
3×flip3-- flip--
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 57
Calls
4 calls:
46.0ms
(cbrt (* (- (+ y t) 2.0) b))
47.0ms
(cbrt (* (- (+ y t) 2.0) b))
59.0ms
(cbrt (* (- (+ y t) 2.0) b))
54.0ms
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) (+ 4 1))

series808.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt (* (- (+ y t) 2.0) b))
158.0ms
(cbrt (* (- (+ y t) 2.0) b))
180.0ms
(cbrt (* (- (+ y t) 2.0) b))
293.0ms
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) (+ 4 1))

simplify1.5s

Counts
69 → 69
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01681461
14281338
29901232
328241056
done50001000

prune513.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes723.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02132
12732
done2732

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.6s12474×body80valid
1.0ms4×body320valid
1.0ms2×body640valid
0.0ms1×body160valid