Details

Time bar (total: 12.2s)

sample22.0ms

Algorithm
intervals
Results
8.0ms296×body80valid
1.0ms10×body1280valid
1.0ms11×body640valid
0.0ms3×body320valid
0.0ms3×body160valid

simplify5.5s

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: 0.6b

localize8.0ms

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

rewrite66.0ms

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:
10.0ms
(- (/ 2.0 3.0) z)
5.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
10.0ms
(* (- y x) 6.0)
37.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series160.0ms

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))

simplify649.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
01561335
14401273
218941163
done50011163

prune206.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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

rewrite105.0ms

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:
10.0ms
(- (/ 2.0 3.0) z)
8.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
36.0ms
(* (- (/ 2.0 3.0) z) 6.0)
47.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series167.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(- (/ 2.0 3.0) z)
63.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
38.0ms
(* (- (/ 2.0 3.0) z) 6.0)
46.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify501.0ms

Counts
89 → 89
Iterations

Useful iterations: done (498.0ms)

IterNodesCost
01481272
14001220
214751102
done50001086

prune212.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
0.0b
(- 4.0 (* 6.0 z))
0.1b
(* (- y x) (- 4.0 (* 6.0 z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
7×flip3-- *-un-lft-identity flip-- add-log-exp
5×pow1 add-exp-log add-cube-cbrt sub-neg associate-*l* add-cbrt-cube
4×distribute-rgt-in frac-times associate-+r+ distribute-lft-in
3×associate-*r*
2×associate-*r/ associate-*l/
1×+-commutative flip3-+ diff-log pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
3.0ms
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
2.0ms
(- 4.0 (* 6.0 z))
14.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

series147.0ms

Counts
3 → 9
Calls
3 calls:
63.0ms
(+ x (* (- y x) (- 4.0 (* 6.0 z))))
35.0ms
(- 4.0 (* 6.0 z))
49.0ms
(* (- y x) (- 4.0 (* 6.0 z)))

simplify409.0ms

Counts
68 → 68
Iterations

Useful iterations: done (407.0ms)

IterNodesCost
0115969
1317920
21209860
done5000850

prune154.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z))))) (cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z))))))
0.5b
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))
0.5b
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))
0.5b
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))

rewrite22.0ms

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:
15.0ms
(* (cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z))))) (cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z))))))
2.0ms
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))
1.0ms
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))
2.0ms
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))

series2.2s

Counts
4 → 12
Calls
4 calls:
843.0ms
(* (cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z))))) (cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z))))))
461.0ms
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))
452.0ms
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))
449.0ms
(cbrt (+ x (* (- y x) (- 4.0 (* 6.0 z)))))

simplify540.0ms

Counts
99 → 99
Iterations

Useful iterations: done (533.0ms)

IterNodesCost
01933508
14613263
215603064
done50002882

prune316.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes192.0ms

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
01011
11311
done1311

end0.0ms

sample543.0ms

Algorithm
intervals
Results
270.0ms9315×body80valid
29.0ms275×body640valid
21.0ms167×body1280valid
13.0ms168×body320valid
7.0ms143×body160valid