Details

Time bar (total: 27.6s)

sample60.0ms

Algorithm
intervals
Results
31.0ms293×body80valid
2.0ms9×body640valid
2.0ms9×body320valid
1.0ms5×body160valid
0.0ms1×body1280valid

simplify13.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12113
24813
316013
442113
591413
6161213
7256413
8365013
9463313
10496713
done500013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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))

rewrite172.0ms

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:
19.0ms
(- (/ 2.0 3.0) z)
15.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
28.0ms
(* (- y x) 6.0)
106.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series190.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(- (/ 2.0 3.0) z)
79.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
32.0ms
(* (- y x) 6.0)
53.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.0s

Counts
97 → 97
Iterations

Useful iterations: done (1.0s)

IterNodesCost
01561335
14341273
217951163
done50021157

prune281.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))

rewrite226.0ms

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:
26.0ms
(- (/ 2.0 3.0) z)
67.0ms
(* (- (/ 2.0 3.0) z) 6.0)
18.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
114.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series216.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(- (/ 2.0 3.0) z)
48.0ms
(* (- (/ 2.0 3.0) z) 6.0)
77.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
70.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify871.0ms

Counts
89 → 89
Iterations

Useful iterations: done (868.0ms)

IterNodesCost
01481272
13961220
214801102
done50001096

prune236.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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

rewrite65.0ms

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:
51.0ms
(* (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))) (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
4.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
3.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
3.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))

series2.9s

Counts
4 → 12
Calls
4 calls:
1.1s
(* (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))) (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
609.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
562.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
632.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))

simplify780.0ms

Counts
99 → 99
Iterations

Useful iterations: done (775.0ms)

IterNodesCost
01963906
14633627
213123404
done50002935

prune460.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
0.5b
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
0.5b
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
0.9b
(pow (cbrt (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))) (+ 3 1))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
13×*-un-lft-identity
11×add-sqr-sqrt add-cube-cbrt
9×unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×pow-unpow pow1/3 add-cbrt-cube add-log-exp
3×flip3-+ flip-+
2×pow-pow
1×unpow-prod-up pow-to-exp pow-exp distribute-lft-out sqr-pow
Counts
4 → 65
Calls
4 calls:
4.0ms
(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))))
20.0ms
(pow (cbrt (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))) (+ 3 1))

series2.6s

Counts
4 → 12
Calls
4 calls:
664.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
608.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
632.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
737.0ms
(pow (cbrt (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))) (+ 3 1))

simplify1.1s

Counts
77 → 77
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01912682
14822438
213302255
done50002026

prune643.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

regimes348.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11513
done1513

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s9440×body80valid
102.0ms263×body640valid
43.0ms106×body160valid
33.0ms132×body1280valid
30.0ms198×body320valid