Details

Time bar (total: 48.1s)

sample70.0ms

Algorithm
intervals
Results
25.0ms310×body80valid
3.0ms12×body640valid
1.0ms5×body320valid
1.0ms2×body1280valid
0.0ms2×body160valid

simplify6.9s

Counts
1 → 1
Iterations
IterNodes
done5000
62048
5971
4453
3157
247
121
012

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize42.0ms

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))

rewrite230.0ms

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:
34.0ms
(- (/ 2.0 3.0) z)
31.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
37.0ms
(* (- y x) 6.0)
124.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series368.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(- (/ 2.0 3.0) z)
138.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
91.0ms
(* (- y x) 6.0)
82.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify4.5s

Counts
97 → 97
Iterations
IterNodes
done5007
21639
1449
0156

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize72.0ms

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))

rewrite692.0ms

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:
45.0ms
(* (- y x) 6.0)
18.0ms
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
439.0ms
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

series810.0ms

Counts
3 → 9
Calls
3 calls:
125.0ms
(* (- y x) 6.0)
429.0ms
(+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))
251.0ms
(* (* (- y x) 6.0) (- 0.6666666666666666 z))

simplify3.8s

Counts
78 → 78
Iterations
IterNodes
done5002
21476
1408
0142

prune1.0s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) (- 0.6666666666666666 z)))
0.3b
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) (- 0.6666666666666666 z))
0.5b
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
0.6b
(* (- y x) (sqrt 6.0))

rewrite592.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-exp-log associate-*l/ add-cbrt-cube
18×add-sqr-sqrt
17×associate-*r*
14×*-un-lft-identity
10×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
8×flip3-- flip--
7×associate-*l* sqrt-prod
6×add-log-exp
4×distribute-rgt-in frac-times sub-neg associate-+r+ distribute-lft-in
3×*-commutative
2×associate-*r/ distribute-lft-out-- difference-of-squares unswap-sqr
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 99
Calls
4 calls:
18.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) (- 0.6666666666666666 z)))
376.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) (- 0.6666666666666666 z))
125.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
51.0ms
(* (- y x) (sqrt 6.0))

series1.8s

Counts
4 → 12
Calls
4 calls:
824.0ms
(+ x (* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) (- 0.6666666666666666 z)))
507.0ms
(* (* (* (- y x) (sqrt 6.0)) (sqrt 6.0)) (- 0.6666666666666666 z))
306.0ms
(* (* (- y x) (sqrt 6.0)) (sqrt 6.0))
149.0ms
(* (- y x) (sqrt 6.0))

simplify4.3s

Counts
111 → 111
Iterations
IterNodes
done5001
21999
1509
0173

prune855.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))) (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))))
0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
0.5b
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))

rewrite80.0ms

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:
56.0ms
(* (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))) (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))))
6.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
6.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
6.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))

series4.3s

Counts
4 → 12
Calls
4 calls:
1.6s
(* (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))) (cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z)))))
900.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
872.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))
905.0ms
(cbrt (+ x (* (* (- y x) 6.0) (- 0.6666666666666666 z))))

simplify8.4s

Counts
99 → 99
Iterations
IterNodes
done5001
34739
21277
1494
0194

prune1.2s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes753.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
010

end0.0ms

sample5.9s

Algorithm
intervals
Results
4.8s9395×body80valid
298.0ms189×body320valid
96.0ms259×body640valid
90.0ms162×body1280valid
14.0ms103×body160valid