Details

Time bar (total: 19.8s)

sample103.0ms

Algorithm
intervals
Results
45.0ms419×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01821
13821
211221
337421
4120021
done500121

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)

rewrite423.0ms

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:
28.0ms
(* (- t 1.0) a)
220.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
40.0ms
(* (- y 1.0) z)
129.0ms
(* (- (+ y t) 2.0) b)

series309.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(* (- t 1.0) a)
195.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
47.0ms
(* (- y 1.0) z)
31.0ms
(* (- (+ y t) 2.0) b)

simplify2.4s

Counts
109 → 109
Iterations

Useful iterations: 2 (726.0ms)

IterNodesCost
02662710
18832499
243572403
done50002403

prune571.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

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))

rewrite65.0ms

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:
45.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
4.0ms
(cbrt (- t 1.0))
4.0ms
(cbrt (- t 1.0))
4.0ms
(cbrt (- t 1.0))

series572.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
130.0ms
(cbrt (- t 1.0))
133.0ms
(cbrt (- t 1.0))
139.0ms
(cbrt (- t 1.0))

simplify1.9s

Counts
113 → 113
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01671563
13701421
29471353
325011256
done50001244

prune722.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize416.0ms

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))

rewrite307.0ms

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:
161.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
34.0ms
(cbrt (* (- (+ y t) 2.0) b))
48.0ms
(cbrt (* (- (+ y t) 2.0) b))
61.0ms
(cbrt (* (- (+ y t) 2.0) b))

series778.0ms

Counts
4 → 12
Calls
4 calls:
258.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
160.0ms
(cbrt (* (- (+ y t) 2.0) b))
196.0ms
(cbrt (* (- (+ y t) 2.0) b))
164.0ms
(cbrt (* (- (+ y t) 2.0) b))

simplify2.2s

Counts
84 → 84
Iterations

Useful iterations: done (2.2s)

IterNodesCost
01591864
13831721
29941572
332531315
done50021247

prune621.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite188.0ms

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:
71.0ms
(cbrt (* (- (+ y t) 2.0) b))
37.0ms
(cbrt (* (- (+ y t) 2.0) b))
49.0ms
(cbrt (* (- (+ y t) 2.0) b))
27.0ms
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) (+ 4 1))

series893.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt (* (- (+ y t) 2.0) b))
189.0ms
(cbrt (* (- (+ y t) 2.0) b))
188.0ms
(cbrt (* (- (+ y t) 2.0) b))
328.0ms
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) (+ 4 1))

simplify1.8s

Counts
69 → 69
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01681461
14281338
29901232
328241056
done50001000

prune634.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes361.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02132
12732
done2732

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.9s12474×body80valid
1.0ms4×body320valid
0.0ms2×body640valid
0.0ms1×body160valid