Details

Time bar (total: 25.5s)

sample60.0ms

Algorithm
intervals
Results
21.0ms301×body80valid
3.0ms8×body1280valid
2.0ms9×body640valid
2.0ms9×body320valid
0.0ms1×body160valid

simplify13.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

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))

rewrite136.0ms

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:
18.0ms
(- (/ 2.0 3.0) z)
12.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
22.0ms
(* (- y x) 6.0)
79.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series229.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(- (/ 2.0 3.0) z)
100.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
43.0ms
(* (- y x) 6.0)
58.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify1.1s

Counts
97 → 97
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01561335
14341273
217951163
done50021157

prune213.0ms

Pruning

7 alts after pruning (7 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))

rewrite221.0ms

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:
18.0ms
(- (/ 2.0 3.0) z)
63.0ms
(* (- (/ 2.0 3.0) z) 6.0)
20.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
117.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

series182.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(- (/ 2.0 3.0) z)
41.0ms
(* (- (/ 2.0 3.0) z) 6.0)
70.0ms
(+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))
50.0ms
(* (- y x) (* (- (/ 2.0 3.0) z) 6.0))

simplify780.0ms

Counts
89 → 89
Iterations

Useful iterations: done (776.0ms)

IterNodesCost
01481272
13961220
214801102
done50001096

prune384.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) 6.0)
0.1b
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
0.3b
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×pow1 add-exp-log *-un-lft-identity associate-*l/ add-cbrt-cube
8×associate-*r*
7×flip3-- flip--
6×add-cube-cbrt associate-*l*
5×add-log-exp
4×distribute-rgt-in frac-times sub-neg associate-+r+ distribute-lft-in pow-prod-down prod-exp cbrt-unprod
2×associate-*r/ *-commutative distribute-lft-out-- difference-of-squares
1×+-commutative flip3-+ sum-log flip-+ unswap-sqr
Counts
3 → 69
Calls
3 calls:
22.0ms
(* (- y x) 6.0)
8.0ms
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
66.0ms
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series176.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(* (- y x) 6.0)
91.0ms
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
51.0ms
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify1.1s

Counts
78 → 78
Iterations

Useful iterations: 2 (290.0ms)

IterNodesCost
01421024
1395971
21618883
done5000883

prune190.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize35.0ms

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))))

rewrite87.0ms

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:
64.0ms
(* (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))) (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
5.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
6.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
6.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))

series3.3s

Counts
4 → 12
Calls
4 calls:
1.3s
(* (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))) (cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0)))))
694.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
665.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))
639.0ms
(cbrt (+ x (* (- y x) (* (- (/ 2.0 3.0) z) 6.0))))

simplify963.0ms

Counts
99 → 99
Iterations

Useful iterations: done (959.0ms)

IterNodesCost
01963906
14633627
213123404
done50002935

prune438.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes279.0ms

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

sample1.9s

Algorithm
intervals
Results
1.2s9504×body80valid
101.0ms251×body640valid
40.0ms128×body1280valid
35.0ms203×body320valid
15.0ms104×body160valid