Details

Time bar (total: 12.4s)

sample27.0ms

Algorithm
intervals
Results
13.0ms341×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06123
110123
211123
done11123

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
21×*-un-lft-identity prod-diff
19×add-cube-cbrt
16×times-frac
7×add-cbrt-cube fma-neg add-exp-log
5×div-inv
4×add-log-exp
3×associate-/l*
2×expm1-log1p-u pow1 cbrt-undiv div-exp log1p-expm1-u difference-of-squares
1×clear-num associate-/r* sub-neg frac-2neg flip3-- diff-log prod-exp cbrt-unprod flip-- distribute-lft-out--
Counts
2 → 68
Calls
2 calls:
42.0ms
(- (/ x (* y y)) 3.0)
11.0ms
(/ x (* y y))

series74.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(- (/ x (* y y)) 3.0)
34.0ms
(/ x (* y y))

simplify1.2s

Counts
74 → 74
Iterations

Useful iterations: done (1.2s)

IterNodesCost
010920134
127616678
2118812984
done500012738

prune289.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

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

rewrite154.0ms

Algorithm
rewrite-expression-head
Rules
342×times-frac
236×add-sqr-sqrt
229×*-un-lft-identity
227×add-cube-cbrt
129×prod-diff
43×fma-neg
21×div-inv
13×associate-/l*
7×add-cbrt-cube add-exp-log
4×add-log-exp
3×cbrt-undiv associate-/r* div-exp difference-of-squares
2×expm1-log1p-u pow1 log1p-expm1-u
1×clear-num sub-neg frac-2neg flip3-- diff-log flip-- distribute-lft-out-- associate-/l/
Counts
2 → 262
Calls
2 calls:
105.0ms
(- (/ (/ x y) y) 3.0)
18.0ms
(/ (/ x y) y)

series89.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (/ (/ x y) y) 3.0)
40.0ms
(/ (/ x y) y)

simplify1.9s

Counts
268 → 268
Iterations

Useful iterations: done (1.8s)

IterNodesCost
0316110191
174992395
2295669386
done500168386

prune1.0s

Pruning

6 alts after pruning (4 fresh and 2 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))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
25×times-frac
24×add-exp-log
19×*-un-lft-identity
17×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
3×prod-diff
2×expm1-log1p-u rec-exp 1-exp log1p-expm1-u div-inv
1×frac-times sub-neg flip3-- fma-neg diff-log pow-prod-down associate-*l/ associate-*r/ un-div-inv *-commutative flip--
Counts
2 → 77
Calls
2 calls:
12.0ms
(- (* (/ x y) (/ 1 y)) 3.0)
37.0ms
(* (/ x y) (/ 1 y))

series91.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(- (* (/ x y) (/ 1 y)) 3.0)
33.0ms
(* (/ x y) (/ 1 y))

simplify2.0s

Counts
83 → 83
Iterations

Useful iterations: done (2.0s)

IterNodesCost
015420443
144816721
2236913498
done500013377

prune345.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize30.0ms

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×expm1-log1p-u add-cbrt-cube log1p-expm1-u 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 → 161
Calls
4 calls:
4.0ms
(cbrt (/ 1 y))
4.0ms
(cbrt (/ 1 y))
4.0ms
(cbrt (/ 1 y))
41.0ms
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))

series1.5s

Counts
4 → 12
Calls
4 calls:
268.0ms
(cbrt (/ 1 y))
297.0ms
(cbrt (/ 1 y))
271.0ms
(cbrt (/ 1 y))
653.0ms
(* (cbrt (/ 1 y)) (cbrt (/ 1 y)))

simplify1.6s

Counts
173 → 173
Iterations

Useful iterations: done (1.6s)

IterNodesCost
014356396
125545045
2100044770
done500144085

prune818.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes296.0ms

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

sample760.0ms

Algorithm
intervals
Results
428.0ms10699×body80valid