Details

Time bar (total: 15.1s)

sample38.0ms

Algorithm
intervals
Results
15.0ms374×body80valid

simplify1.0s

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

localize17.0ms

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

rewrite272.0ms

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:
126.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
20.0ms
(* (- t 1.0) a)
101.0ms
(* (- (+ y t) 2.0) b)
21.0ms
(* (- y 1.0) z)

series267.0ms

Counts
4 → 12
Calls
4 calls:
173.0ms
(+ (- (- x (* (- y 1.0) z)) (* (- t 1.0) a)) (* (- (+ y t) 2.0) b))
31.0ms
(* (- t 1.0) a)
29.0ms
(* (- (+ y t) 2.0) b)
34.0ms
(* (- y 1.0) z)

simplify1.6s

Counts
109 → 109
Iterations

Useful iterations: 2 (446.0ms)

IterNodesCost
02662710
18832499
243632403
done50002403

prune339.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite56.0ms

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:
4.0ms
(cbrt (- t 1.0))
4.0ms
(cbrt (- t 1.0))
6.0ms
(cbrt (- t 1.0))
37.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(cbrt (- t 1.0))
96.0ms
(cbrt (- t 1.0))
97.0ms
(cbrt (- t 1.0))
122.0ms
(* (cbrt (- t 1.0)) (cbrt (- t 1.0)))

simplify1.2s

Counts
113 → 113
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01671563
13701421
29471353
324981256
done50001244

prune447.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite297.0ms

Algorithm
rewrite-expression-head
Rules
390×cbrt-div
136×frac-times
111×flip3-- flip--
68×associate-*l/
44×cbrt-prod
26×associate-*r/
20×add-sqr-sqrt *-un-lft-identity
19×pow1/3
15×pow1
13×add-exp-log add-cube-cbrt
9×pow-prod-down
8×associate-*r* pow-prod-up
6×prod-exp add-cbrt-cube cbrt-unprod
4×distribute-lft-out-- add-log-exp difference-of-squares
2×pow-plus pow-sqr
1×swap-sqr associate-*l* *-commutative
Counts
4 → 166
Calls
4 calls:
5.0ms
(cbrt (cbrt (- t 1.0)))
4.0ms
(cbrt (cbrt (- t 1.0)))
5.0ms
(cbrt (cbrt (- t 1.0)))
265.0ms
(* (* (* (cbrt (cbrt (- t 1.0))) (cbrt (cbrt (- t 1.0)))) (cbrt (cbrt (- t 1.0)))) (cbrt (- t 1.0)))

series670.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(cbrt (cbrt (- t 1.0)))
115.0ms
(cbrt (cbrt (- t 1.0)))
321.0ms
(cbrt (cbrt (- t 1.0)))
126.0ms
(* (* (* (cbrt (cbrt (- t 1.0))) (cbrt (cbrt (- t 1.0)))) (cbrt (cbrt (- t 1.0)))) (cbrt (- t 1.0)))

simplify2.2s

Counts
178 → 178
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03365861
17805611
219505028
341804755
done50004191

prune705.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt b) (cbrt b))
0.6b
(cbrt b)
0.6b
(cbrt b)
0.6b
(cbrt b)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
11.0ms
(* (cbrt b) (cbrt b))
1.0ms
(cbrt b)
1.0ms
(cbrt b)
1.0ms
(cbrt b)

series737.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(* (cbrt b) (cbrt b))
177.0ms
(cbrt b)
176.0ms
(cbrt b)
182.0ms
(cbrt b)

simplify3.3s

Counts
85 → 85
Iterations

Useful iterations: done (3.3s)

IterNodesCost
061524
1115417
2319397
31092379
44427374
done5001364

prune278.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes147.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02445
13245
done3245

end0.0ms

sample1.1s

Algorithm
intervals
Results
498.0ms12495×body80valid
0.0ms1×body1280valid
0.0ms1×body160valid