Details

Time bar (total: 17.0s)

sample88.0ms

Algorithm
intervals
Results
48.0ms396×body80valid

simplify1.4s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
13821
211221
337421
4120021
done500121

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite372.0ms

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:
175.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
22.0ms
(* (- y 1.0) z)
23.0ms
(* (- t 1.0) a)
143.0ms
(* (- (+ y t) 2.0) b)

series408.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
50.0ms
(* (- y 1.0) z)
51.0ms
(* (- t 1.0) a)
58.0ms
(* (- (+ y t) 2.0) b)

simplify2.3s

Counts
109 → 109
Iterations

Useful iterations: 2 (629.0ms)

IterNodesCost
02662710
18832499
243642403
done50002403

prune445.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

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))

rewrite63.0ms

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:
39.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
4.0ms
(cbrt (- t 1.0))
12.0ms
(cbrt (- t 1.0))
4.0ms
(cbrt (- t 1.0))

series495.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))
119.0ms
(cbrt (- t 1.0))
129.0ms
(cbrt (- t 1.0))
123.0ms
(cbrt (- t 1.0))

simplify1.3s

Counts
113 → 113
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01671563
13701421
29471353
325011256
done50001244

prune700.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

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))

rewrite335.0ms

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:
196.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
48.0ms
(cbrt (* (- (+ y t) 2.0) b))
43.0ms
(cbrt (* (- (+ y t) 2.0) b))
44.0ms
(cbrt (* (- (+ y t) 2.0) b))

series619.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
166.0ms
(cbrt (* (- (+ y t) 2.0) b))
137.0ms
(cbrt (* (- (+ y t) 2.0) b))
141.0ms
(cbrt (* (- (+ y t) 2.0) b))

simplify1.6s

Counts
84 → 84
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01591864
13831721
29941572
332531315
done50021247

prune511.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
0.6b
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
0.6b
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
0.9b
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) 4)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
12×cbrt-div
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×unpow-prod-down
6×associate-*l/
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 64
Calls
4 calls:
31.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
17.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
18.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
40.0ms
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) 4)

series803.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
218.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
193.0ms
(cbrt (cbrt (* (- (+ y t) 2.0) b)))
230.0ms
(pow (cbrt (cbrt (* (- (+ y t) 2.0) b))) 4)

simplify1.8s

Counts
76 → 76
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01611593
13811476
29131386
326991208
done50001161

prune635.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes289.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02132
12732
done2732

end0.0ms

sample2.5s

Algorithm
intervals
Results
1.5s12535×body80valid
0.0ms1×body1280valid
0.0ms1×body640valid
0.0ms1×body160valid