Details

Time bar (total: 15.9s)

sample39.0ms

Algorithm
intervals
Results
15.0ms301×body80valid
2.0ms9×body640valid
1.0ms6×body1280valid
1.0ms4×body320valid
0.0ms4×body160valid

simplify1.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
24813
316013
452213
5165813
done500013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite193.0ms

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:
41.0ms
(* (- y x) 6.0)
24.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
19.0ms
(- (/ 2.0 3.0) z)
104.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series246.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(* (- y x) 6.0)
100.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
33.0ms
(- (/ 2.0 3.0) z)
71.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.5s

Counts
97 → 97
Iterations

Useful iterations: 2 (370.0ms)

IterNodesCost
01561335
14491273
223051163
done50001163

prune289.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite266.0ms

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:
24.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
25.0ms
(- (/ 2.0 3.0) z)
85.0ms
(* (- (/ 2.0 3.0) z) 6.0)
128.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series248.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
29.0ms
(- (/ 2.0 3.0) z)
57.0ms
(* (- (/ 2.0 3.0) z) 6.0)
68.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify892.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (274.0ms)

IterNodesCost
01481272
14011220
216371102
done50001102

prune218.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

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))))

rewrite43.0ms

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:
30.0ms
(* (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))) (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
3.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
3.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
4.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))

series2.8s

Counts
4 → 12
Calls
4 calls:
1.0s
(* (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))) (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
603.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
597.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
505.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))

simplify1.1s

Counts
99 → 99
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01963906
14993627
218393404
done50003099

prune608.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize54.0ms

Local error

Found 4 expressions with local error:

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

rewrite235.0ms

Algorithm
rewrite-expression-head
Rules
30×cbrt-prod
14×cbrt-div
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ add-log-exp
Counts
4 → 61
Calls
4 calls:
97.0ms
(cbrt (+ (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)) x))
127.0ms
(cbrt (cbrt (+ (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)) x)))
5.0ms
(cbrt (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
4.0ms
(cbrt (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))

series2.3s

Counts
4 → 12
Calls
4 calls:
621.0ms
(cbrt (+ (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)) x))
561.0ms
(cbrt (cbrt (+ (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)) x)))
568.0ms
(cbrt (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
534.0ms
(cbrt (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))

simplify991.0ms

Counts
73 → 73
Iterations

Useful iterations: done (986.0ms)

IterNodesCost
02432631
15692561
217492385
done50022336

prune554.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes216.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.6s

Algorithm
intervals
Results
989.0ms9273×body80valid
54.0ms274×body640valid
36.0ms147×body1280valid
32.0ms224×body320valid
11.0ms106×body160valid