Details

Time bar (total: 18.7s)

sample66.0ms

Algorithm
intervals
Results
38.0ms423×body80valid

simplify1.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
13821
211221
337421
4120021
done500121

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

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)

rewrite350.0ms

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:
21.0ms
(* (- t 1.0) a)
131.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
21.0ms
(* (- y 1.0) z)
173.0ms
(* (- (+ y t) 2.0) b)

series356.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (- t 1.0) a)
241.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
34.0ms
(* (- y 1.0) z)
30.0ms
(* (- (+ y t) 2.0) b)

simplify2.2s

Counts
109 → 109
Iterations

Useful iterations: 2 (711.0ms)

IterNodesCost
02662710
18832499
243572403
done50002403

prune507.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (- y 1.0))
0.3b
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

rewrite80.0ms

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:
5.0ms
(cbrt (- y 1.0))
4.0ms
(cbrt (- y 1.0))
4.0ms
(cbrt (- y 1.0))
59.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

series677.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(cbrt (- y 1.0))
188.0ms
(cbrt (- y 1.0))
165.0ms
(cbrt (- y 1.0))
153.0ms
(* (cbrt (- y 1.0)) (cbrt (- y 1.0)))

simplify1.6s

Counts
113 → 113
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01671563
13701421
29481353
325051256
done50011237

prune678.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- y 1.0))
0.2b
(cbrt (cbrt (- y 1.0)))
0.2b
(cbrt (cbrt (- y 1.0)))
0.4b
(pow (cbrt (cbrt (- y 1.0))) (+ 4 1))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
23×*-un-lft-identity
21×add-sqr-sqrt
13×add-cube-cbrt
11×unpow-prod-down
10×cbrt-div
5×pow1 add-exp-log
4×pow-unpow pow1/3 add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×flip3-- flip--
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 79
Calls
4 calls:
8.0ms
(cbrt (- y 1.0))
22.0ms
(cbrt (cbrt (- y 1.0)))
9.0ms
(cbrt (cbrt (- y 1.0)))
15.0ms
(pow (cbrt (cbrt (- y 1.0))) (+ 4 1))

series855.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(cbrt (- y 1.0))
186.0ms
(cbrt (cbrt (- y 1.0)))
159.0ms
(cbrt (cbrt (- y 1.0)))
371.0ms
(pow (cbrt (cbrt (- y 1.0))) (+ 4 1))

simplify2.0s

Counts
91 → 91
Iterations

Useful iterations: 3 (924.0ms)

IterNodesCost
02281352
15521197
213351128
337201084
done50011084

prune693.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite383.0ms

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:
206.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
55.0ms
(cbrt (* (- (+ y t) 2.0) b))
53.0ms
(cbrt (* (- (+ y t) 2.0) b))
65.0ms
(cbrt (* (- (+ y t) 2.0) b))

series801.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(* (cbrt (* (- (+ y t) 2.0) b)) (cbrt (* (- (+ y t) 2.0) b)))
191.0ms
(cbrt (* (- (+ y t) 2.0) b))
165.0ms
(cbrt (* (- (+ y t) 2.0) b))
185.0ms
(cbrt (* (- (+ y t) 2.0) b))

simplify2.1s

Counts
84 → 84
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01591864
13831721
29941572
332531315
done50021247

prune621.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes260.0ms

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

sample2.7s

Algorithm
intervals
Results
2.0s12457×body80valid
0.0ms1×body640valid
0.0ms1×body320valid
0.0ms1×body160valid