Details

Time bar (total: 10.9s)

sample30.0ms

Algorithm
intervals
Results
14.0ms341×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
211123
done11123

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ x (* y y)) 3.0)
8.3b
(/ x (* y y))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
7×add-cbrt-cube add-exp-log
6×*-un-lft-identity
4×times-frac add-cube-cbrt add-log-exp
3×associate-/l*
2×pow1 cbrt-undiv div-exp difference-of-squares
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log prod-exp cbrt-unprod div-inv flip-- distribute-lft-out--
Counts
2 → 36
Calls
2 calls:
38.0ms
(- (/ x (* y y)) 3.0)
13.0ms
(/ x (* y y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
64.0ms
(- (/ x (* y y)) 3.0)
34.0ms
(/ x (* y y))

simplify708.0ms

Counts
42 → 42
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
0718583
11837046
28236886
done50016886

prune152.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ (/ x y) y) 3.0)
0.2b
(/ (/ x y) y)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
53×add-sqr-sqrt
46×*-un-lft-identity
44×add-cube-cbrt
13×associate-/l*
7×add-cbrt-cube add-exp-log
5×div-inv
4×add-log-exp
3×cbrt-undiv associate-/r* div-exp difference-of-squares
2×pow1
1×clear-num sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out-- associate-/l/
Counts
2 → 86
Calls
2 calls:
40.0ms
(- (/ (/ x y) y) 3.0)
15.0ms
(/ (/ x y) y)

series65.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(- (/ (/ x y) y) 3.0)
24.0ms
(/ (/ x y) y)

simplify1.3s

Counts
92 → 92
Iterations

Useful iterations: done (1.3s)

IterNodesCost
017025448
140322817
2178122016
done500121896

prune385.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* (/ x y) (/ 1 y)) 3.0)
0.2b
(* (/ x y) (/ 1 y))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
25×times-frac
24×add-exp-log
18×*-un-lft-identity
16×add-cube-cbrt
14×add-cbrt-cube
13×associate-*r* associate-*l*
8×div-exp prod-exp
6×unswap-sqr
4×pow1 cbrt-undiv cbrt-unprod add-log-exp
2×rec-exp 1-exp div-inv
1×frac-times sub-neg flip3-- diff-log pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative flip--
Counts
2 → 69
Calls
2 calls:
22.0ms
(- (* (/ x y) (/ 1 y)) 3.0)
43.0ms
(* (/ x y) (/ 1 y))

series82.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(- (* (/ x y) (/ 1 y)) 3.0)
31.0ms
(* (/ x y) (/ 1 y))

simplify2.6s

Counts
75 → 75
Iterations

Useful iterations: done (2.6s)

IterNodesCost
013318122
139214627
2228212212
done500112132

prune385.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (/ 1 y))
0.5b
(cbrt (/ 1 y))
0.5b
(cbrt (/ 1 y))
0.6b
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
119×cbrt-prod
97×add-sqr-sqrt
79×times-frac
67×*-un-lft-identity
57×add-cube-cbrt
18×swap-sqr
16×associate-*r* associate-*l* unswap-sqr
11×pow1
9×pow1/3 div-inv
7×cbrt-div
6×add-exp-log
4×add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 153
Calls
4 calls:
4.0ms
(cbrt (/ 1 y))
4.0ms
(cbrt (/ 1 y))
9.0ms
(cbrt (/ 1 y))
38.0ms
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))

series1.1s

Counts
4 → 12
Calls
4 calls:
229.0ms
(cbrt (/ 1 y))
328.0ms
(cbrt (/ 1 y))
215.0ms
(cbrt (/ 1 y))
295.0ms
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))

simplify1.9s

Counts
165 → 165
Iterations

Useful iterations: done (1.9s)

IterNodesCost
013954700
125143349
2108643074
done500042389

prune779.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes320.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06123
done6123

end0.0ms

sample691.0ms

Algorithm
intervals
Results
407.0ms10699×body80valid