Details

Time bar (total: 42.9s)

sample48.0ms

Algorithm
intervals
Results
16.0ms302×body80valid
1.0ms9×body640valid
1.0ms6×body1280valid
1.0ms5×body320valid
0.0ms4×body160valid

simplify5.4s

Counts
1 → 1
Iterations
IterNodes
done5003
62115
5992
4474
3157
247
121
012

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
13×*-un-lft-identity
11×pow1 add-cbrt-cube add-exp-log
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 insert-posit16
3×distribute-lft-out--
2×times-frac associate-*r/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 89
Calls
4 calls:
33.0ms
(- (/ 2.0 3.0) z)
40.0ms
(* (- y x) 6.0)
33.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
132.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

series285.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(- (/ 2.0 3.0) z)
47.0ms
(* (- y x) 6.0)
113.0ms
(+ x (* (* (- y x) 6.0) (- (/ 2.0 3.0) z)))
86.0ms
(* (* (- y x) 6.0) (- (/ 2.0 3.0) z))

simplify3.2s

Counts
101 → 101
Iterations
IterNodes
done5001
21646
1454
0160

prune1.2s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

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

rewrite274.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
18×distribute-rgt-in distribute-lft-in
13×*-un-lft-identity
11×pow1 sub-neg add-cbrt-cube add-exp-log
10×associate-*r/
8×associate-+r+ flip3-- associate-*l* flip-- add-log-exp
7×associate-*r* add-cube-cbrt
5×difference-of-squares
4×frac-times pow-prod-down prod-exp cbrt-unprod insert-posit16
3×distribute-lft-out--
2×times-frac associate-*l/ *-commutative
1×+-commutative sum-log flip3-+ diff-log flip-+ unswap-sqr
Counts
4 → 101
Calls
4 calls:
34.0ms
(- (/ 2.0 3.0) z)
35.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
81.0ms
(* 6.0 (- (/ 2.0 3.0) z))
112.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(- (/ 2.0 3.0) z)
87.0ms
(+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))
54.0ms
(* 6.0 (- (/ 2.0 3.0) z))
95.0ms
(* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))

simplify3.0s

Counts
113 → 113
Iterations
IterNodes
done5003
21613
1460
0167

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize163.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
0.6b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
0.6b
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 flip-+
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×frac-times add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down associate-*l/ associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 91
Calls
4 calls:
61.0ms
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
8.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
11.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
9.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

series3.9s

Counts
4 → 12
Calls
4 calls:
1.7s
(* (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))) (cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z))))))
743.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
697.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
758.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify6.9s

Counts
103 → 103
Iterations
IterNodes
done5004
34810
21286
1497
0198

prune1.7s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize352.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt cbrt-div *-un-lft-identity add-cube-cbrt
4×pow1 flip3-+ add-cbrt-cube pow1/3 add-exp-log flip-+ insert-posit16 add-log-exp
Counts
4 → 56
Calls
4 calls:
9.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
9.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
9.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
9.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

series4.1s

Counts
4 → 12
Calls
4 calls:
994.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
927.0ms
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
1.0s
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))
1.1s
(cbrt (+ x (* (- y x) (* 6.0 (- (/ 2.0 3.0) z)))))

simplify6.0s

Counts
68 → 68
Iterations
IterNodes
done5000
33479
2723
1253
0103

prune1.6s

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes1.4s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample1.3s

Algorithm
intervals
Results
684.0ms9376×body80valid
91.0ms259×body640valid
40.0ms161×body1280valid
27.0ms182×body320valid
13.0ms123×body160valid