Details

Time bar (total: 10.7s)

sample22.0ms

Algorithm
intervals
Results
8.0ms243×body80valid
1.0ms5×body640valid
0.0ms4×body320valid
0.0ms1×body2560valid
0.0ms1×body1280valid
0.0ms2×body160valid

simplify48.0ms

Counts
1 → 1
Iterations
IterNodes
done59
759
657
551
445
338
225
112
07

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 1 expressions with local error:

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

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt *-un-lft-identity fma-neg prod-diff add-cube-cbrt add-log-exp
1×expm1-log1p-u pow1 sub-neg flip3-- add-cbrt-cube diff-log add-exp-log log1p-expm1-u flip--
Counts
1 → 20
Calls
1 calls:
5.0ms
(- x (* (/ 3.0 8.0) y))

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(- x (* (/ 3.0 8.0) y))

simplify1.6s

Counts
23 → 23
Iterations
IterNodes
done5000
32402
2436
1108
045

prune105.0ms

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)))

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
42×add-cbrt-cube add-exp-log
21×prod-exp cbrt-unprod
17×pow-prod-down
14×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×expm1-log1p-u pow-sqr pow-prod-up log1p-expm1-u associate-/l*
3×associate-/r* fma-def
2×flip3-+ pow-plus flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×pow2 frac-times +-commutative clear-num sum-log sub-neg frac-2neg fma-neg diff-log div-sub swap-sqr associate-*r* associate-*l* prod-diff associate-*r/ *-commutative div-inv
Counts
4 → 120
Calls
4 calls:
6.0ms
(+ x (* (/ 3.0 8.0) y))
58.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
10.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
32.0ms
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

series224.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(+ x (* (/ 3.0 8.0) y))
38.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
54.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
95.0ms
(/ (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (+ x (* (/ 3.0 8.0) y)))

simplify1.8s

Counts
132 → 132
Iterations
IterNodes
done5002
23147
1518
0172

prune458.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

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))))

rewrite131.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 189
Calls
4 calls:
4.0ms
(sqrt (+ x (* (/ 3.0 8.0) y)))
79.0ms
(* (/ (+ 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)))))
16.0ms
(/ (- x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))
25.0ms
(/ (+ x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))

series489.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(sqrt (+ x (* (/ 3.0 8.0) y)))
69.0ms
(* (/ (+ 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)))))
200.0ms
(/ (- x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))
121.0ms
(/ (+ x (* (/ 3.0 8.0) y)) (sqrt (+ x (* (/ 3.0 8.0) y))))

simplify927.0ms

Counts
201 → 201
Iterations
IterNodes
done5001
1840
0276

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize25.0ms

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))))

rewrite95.0ms

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×expm1-log1p-u associate-/r/ pow-sqr pow-prod-up log1p-expm1-u
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 fma-neg diff-log swap-sqr prod-diff un-div-inv pow-flip inv-pow
Counts
4 → 146
Calls
4 calls:
8.0ms
(/ 1 (+ x (* (/ 3.0 8.0) y)))
41.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
7.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
35.0ms
(* (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (/ 1 (+ x (* (/ 3.0 8.0) y))))

series202.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ 1 (+ x (* (/ 3.0 8.0) y)))
32.0ms
(* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))
46.0ms
(- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y)))
78.0ms
(* (- (* x x) (* (* (/ 3.0 8.0) y) (* (/ 3.0 8.0) y))) (/ 1 (+ x (* (/ 3.0 8.0) y))))

simplify1.8s

Counts
158 → 158
Iterations
IterNodes
done5000
23474
1575
0198

prune693.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes220.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done16
216
115
012

end0.0ms

sample628.0ms

Algorithm
intervals
Results
287.0ms7415×body80valid
64.0ms203×body1280valid
36.0ms107×body320valid
17.0ms143×body640valid
16.0ms88×body2560valid
3.0ms44×body160valid