Details

Time bar (total: 13.0s)

sample23.0ms

Algorithm
intervals
Results
9.0ms307×body80valid
1.0ms10×body640valid
1.0ms6×body1280valid
0.0ms5×body320valid
0.0ms6×body160valid

simplify5.8s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01213
12113
24713
312813
429413
566213
6125113
7232313
8415013
done500113

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log add-cbrt-cube
10×associate-*l/
9×associate-*r*
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×sub-neg difference-of-squares
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 85
Calls
4 calls:
11.0ms
(- (/ 2.0 3.0) z)
6.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
11.0ms
(* (- y x) 6.0)
41.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series161.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
64.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
30.0ms
(* (- y x) 6.0)
47.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify657.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01561335
14401273
218941163
done50011163

prune221.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(* (- (/ 2.0 3.0) z) 6.0)
0.0b
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
0.1b
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-exp-log associate-*l* add-cbrt-cube
10×associate-*l/
8×flip3-- flip-- add-log-exp
7×add-cube-cbrt
5×difference-of-squares
4×frac-times associate-*r* pow-prod-down prod-exp cbrt-unprod
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative sub-neg flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 77
Calls
4 calls:
11.0ms
(- (/ 2.0 3.0) z)
39.0ms
(* (- (/ 2.0 3.0) z) 6.0)
9.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
51.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series171.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
41.0ms
(* (- (/ 2.0 3.0) z) 6.0)
65.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
45.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify495.0ms

Counts
89 → 89
Iterations

Useful iterations: done (492.0ms)

IterNodesCost
01481272
14001220
214751102
done50021086

prune215.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ 2.0 3.0) z)
0.0b
(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
0.2b
(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
0.3b
(* (- y x) (- (/ 2.0 3.0) z))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×flip3-- *-un-lft-identity flip--
12×associate-*l/
11×pow1 add-exp-log add-cbrt-cube
9×associate-*r*
8×frac-times add-log-exp
7×add-cube-cbrt
6×associate-*l*
5×difference-of-squares
4×associate-*r/ pow-prod-down prod-exp cbrt-unprod
3×sub-neg distribute-lft-out--
2×distribute-rgt-in distribute-lft-in times-frac *-commutative
1×+-commutative flip3-+ diff-log sum-log flip-+ unswap-sqr
Counts
4 → 87
Calls
4 calls:
11.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
49.0ms
(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
39.0ms
(* (- y x) (- (/ 2.0 3.0) z))

series169.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
66.0ms
(+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))
44.0ms
(* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)
40.0ms
(* (- y x) (- (/ 2.0 3.0) z))

simplify623.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
01621489
14451433
217471293
done50001293

prune234.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))) (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))))
0.6b
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
0.6b
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
0.6b
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-+ pow1/3 flip-+
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
16.0ms
(* (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))) (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))))
2.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
2.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
2.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))

series2.2s

Counts
4 → 12
Calls
4 calls:
805.0ms
(* (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))) (cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0))))
449.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
451.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))
450.0ms
(cbrt (+ x (* (* (- y x) (- (/ 2.0 3.0) z)) 6.0)))

simplify533.0ms

Counts
99 → 99
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01963906
14653631
216013404
done50003404

prune334.0ms

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 0.0b

regimes240.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample565.0ms

Algorithm
intervals
Results
272.0ms9355×body80valid
29.0ms279×body640valid
22.0ms165×body1280valid
20.0ms212×body320valid
6.0ms113×body160valid