Details

Time bar (total: 14.4s)

sample21.0ms

Algorithm
intervals
Results
7.0ms243×body80valid
1.0ms5×body640valid
0.0ms4×body320valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms2×body160valid

simplify56.0ms

Counts
1 → 1
Iterations
IterNodes
done50
750
647
544
438
331
225
112
07

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip--
Counts
1 → 12
Calls
1 calls:
8.0ms
(- x (* (/ 3.0 8.0) y))

series42.0ms

Counts
1 → 3
Calls
1 calls:
41.0ms
(- x (* (/ 3.0 8.0) y))

simplify2.9s

Counts
15 → 15
Iterations
IterNodes
done5000
42712
3887
2249
181
032

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (/ 3.0 8.0) y))
0.3b
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
4.4b
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
28.4b
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

rewrite126.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
42×add-cbrt-cube add-exp-log
21×prod-exp cbrt-unprod
17×pow-prod-down
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
8×add-log-exp
7×cbrt-undiv div-exp
5×associate-*l/ difference-of-squares
4×pow-sqr pow-prod-up associate-/l*
3×associate-/r*
2×flip3-+ pow-plus flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×pow2 frac-times +-commutative clear-num sum-log sub-neg frac-2neg diff-log div-sub swap-sqr associate-*r* associate-*l* associate-*r/ *-commutative div-inv
Counts
4 → 107
Calls
4 calls:
9.0ms
(+ x (* (/ 3.0 8.0) y))
81.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
10.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
22.0ms
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

series254.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ x (* (/ 3.0 8.0) y))
59.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
67.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
91.0ms
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

simplify1.6s

Counts
119 → 119
Iterations
IterNodes
done5002
21625
1480
0161

prune451.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (+ x (* (/ 3.0 8.0) y)))
0.3b
(* (/ (+ x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y)))) (/ (- x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y)))))
0.3b
(/ (- x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))
0.3b
(/ (+ x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))

rewrite196.0ms

Algorithm
rewrite-expression-head
Rules
92×add-sqr-sqrt
84×times-frac
61×*-un-lft-identity add-cube-cbrt
51×sqrt-prod
24×associate-*r* associate-*l*
20×add-cbrt-cube add-exp-log
12×associate-/r*
10×pow1 sqrt-div
9×unswap-sqr
8×associate-/r/
6×cbrt-undiv flip3-+ div-exp flip-+ associate-/l*
4×prod-exp cbrt-unprod div-inv add-log-exp associate-/l/
2×clear-num frac-2neg sqrt-pow1 pow1/2 pow-div
1×frac-times rem-sqrt-square flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip--
Counts
4 → 181
Calls
4 calls:
8.0ms
(sqrt (+ x (* (/ 3.0 8.0) y)))
116.0ms
(* (/ (+ x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y)))) (/ (- x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y)))))
36.0ms
(/ (- x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))
22.0ms
(/ (+ x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))

series955.0ms

Counts
4 → 12
Calls
4 calls:
472.0ms
(sqrt (+ x (* (/ 3.0 8.0) y)))
99.0ms
(* (/ (+ x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y)))) (/ (- x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y)))))
229.0ms
(/ (- x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))
155.0ms
(/ (+ x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))

simplify2.7s

Counts
193 → 193
Iterations
IterNodes
done5001
22863
1811
0268

prune1.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ 1 (+ x (* (/ 3.0 8.0) y)))
0.3b
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
4.4b
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
28.4b
(* (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (/ 1 (+ x (* (/ 3.0 8.0) y))))

rewrite141.0ms

Algorithm
rewrite-expression-head
Rules
53×add-exp-log
47×add-cbrt-cube
46×pow1
27×add-sqr-sqrt
25×prod-exp
23×cbrt-unprod
21×*-un-lft-identity
20×times-frac add-cube-cbrt
18×pow-prod-down
16×associate-*r*
10×div-exp
8×cbrt-undiv
7×associate-*l/
6×add-log-exp
5×associate-*l*
4×associate-/r/ pow-sqr pow-prod-up
3×frac-times associate-/r* flip3-- flip-- associate-/l* unswap-sqr
2×rec-exp flip3-+ pow-plus 1-exp associate-*r/ *-commutative flip-+ div-inv difference-of-squares
1×pow2 clear-num sub-neg frac-2neg diff-log swap-sqr un-div-inv pow-flip inv-pow
Counts
4 → 136
Calls
4 calls:
8.0ms
(/ 1 (+ x (* (/ 3.0 8.0) y)))
71.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
12.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
44.0ms
(* (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (/ 1 (+ x (* (/ 3.0 8.0) y))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
87.0ms
(/ 1 (+ x (* (/ 3.0 8.0) y)))
58.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
90.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
138.0ms
(* (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (/ 1 (+ x (* (/ 3.0 8.0) y))))

simplify1.9s

Counts
148 → 148
Iterations
IterNodes
done5001
21809
1520
0187

prune549.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes235.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done8
18
07

end0.0ms

sample636.0ms

Algorithm
intervals
Results
290.0ms7415×body80valid
68.0ms203×body1280valid
42.0ms143×body640valid
16.0ms88×body2560valid
10.0ms107×body320valid
3.0ms44×body160valid