Details

Time bar (total: 14.6s)

sample30.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
09243
136243
2157243
3688243
43563243
done5000243

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (+ x y) (+ x y))
0.1b
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
17.5b
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times flip3-+ flip-+
31×add-cbrt-cube add-exp-log
30×associate-*l/
27×*-un-lft-identity
26×associate-/r/
18×associate-*r/
15×pow1
13×prod-exp cbrt-unprod
11×add-sqr-sqrt
9×associate-*r* distribute-lft-out
8×add-cube-cbrt
6×cbrt-undiv swap-sqr div-exp
5×associate-*l*
4×pow-prod-down
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×distribute-rgt-in distribute-lft-in *-commutative unswap-sqr
1×pow2 clear-num associate-/r* frac-2neg times-frac pow-plus pow-sqr pow-prod-up div-inv associate-/l*
Counts
3 → 146
Calls
3 calls:
27.0ms
(* (+ x y) (+ x y))
113.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
59.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* (+ x y) (+ x y))
47.0ms
(* (* (+ x y) (+ x y)) (+ (+ x y) 1.0))
195.0ms
(/ (* x y) (* (* (+ x y) (+ x y)) (+ (+ x y) 1.0)))

simplify1.1s

Counts
155 → 155
Iterations

Useful iterations: done (1.1s)

IterNodesCost
022472061
1100151303
done500149163

prune738.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 3.8b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ y (+ (+ x y) 1.0))
0.0b
(* (+ x y) (+ x y))
0.1b
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
15.3b
(/ x (* (+ x y) (+ x y)))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
80×*-un-lft-identity
43×add-sqr-sqrt
40×times-frac
34×add-cbrt-cube add-exp-log
31×add-cube-cbrt
27×distribute-lft-out
25×associate-*r*
20×flip3-+ associate-/r/ flip-+
19×associate-*l*
13×frac-times pow1
10×cbrt-undiv div-exp prod-exp cbrt-unprod
7×associate-*l/ associate-*r/
6×associate-/r* swap-sqr associate-/l*
5×unswap-sqr
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
2×clear-num frac-2neg pow-prod-down *-commutative
1×pow2 distribute-rgt-in distribute-lft-in pow-plus pow-sqr pow-prod-up
Counts
4 → 178
Calls
4 calls:
33.0ms
(/ y (+ (+ x y) 1.0))
28.0ms
(* (+ x y) (+ x y))
127.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
14.0ms
(/ x (* (+ x y) (+ x y)))

series382.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(/ y (+ (+ x y) 1.0))
27.0ms
(* (+ x y) (+ x y))
207.0ms
(* (/ x (* (+ x y) (+ x y))) (/ y (+ (+ x y) 1.0)))
76.0ms
(/ x (* (+ x y) (+ x y)))

simplify1.1s

Counts
190 → 190
Iterations

Useful iterations: done (1.0s)

IterNodesCost
022552720
175344114
done500042676

prune694.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ x (+ x y))
0.0b
(/ y (+ (+ x y) 1.0))
0.1b
(* (/ 1 (+ x y)) (/ x (+ x y)))
0.1b
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

rewrite259.0ms

Algorithm
rewrite-expression-head
Rules
105×*-un-lft-identity
103×add-exp-log
73×times-frac
65×add-sqr-sqrt
61×add-cbrt-cube
48×add-cube-cbrt
42×prod-exp
39×associate-*r*
35×div-exp
31×distribute-lft-out
22×cbrt-unprod
19×cbrt-undiv associate-*l*
11×pow1
10×associate-/r/
9×associate-/r*
6×frac-times rec-exp 1-exp associate-*l/ associate-/l* unswap-sqr
5×flip3-+ flip-+ div-inv
4×expm1-log1p-u pow-prod-down associate-*r/ log1p-expm1-u add-log-exp
2×clear-num frac-2neg *-commutative
Counts
4 → 211
Calls
4 calls:
9.0ms
(/ x (+ x y))
36.0ms
(/ y (+ (+ x y) 1.0))
59.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
146.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

series513.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(/ x (+ x y))
88.0ms
(/ y (+ (+ x y) 1.0))
115.0ms
(* (/ 1 (+ x y)) (/ x (+ x y)))
238.0ms
(* (* (/ 1 (+ x y)) (/ x (+ x y))) (/ y (+ (+ x y) 1.0)))

simplify1.1s

Counts
223 → 223
Iterations

Useful iterations: done (1.1s)

IterNodesCost
027465756
190656500
done500050580

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (/ 1 (+ x y)) (/ x (+ x y)))) (cbrt (* (/ 1 (+ x y)) (/ x (+ x y)))))
18.0b
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))
18.0b
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))
18.0b
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
20×frac-times
14×associate-*l/ associate-*r/
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube swap-sqr associate-*r* associate-*l* log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 90
Calls
4 calls:
22.0ms
(* (cbrt (* (/ 1 (+ x y)) (/ x (+ x y)))) (cbrt (* (/ 1 (+ x y)) (/ x (+ x y)))))
15.0ms
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))
17.0ms
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))
14.0ms
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
382.0ms
(* (cbrt (* (/ 1 (+ x y)) (/ x (+ x y)))) (cbrt (* (/ 1 (+ x y)) (/ x (+ x y)))))
328.0ms
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))
293.0ms
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))
278.0ms
(cbrt (* (/ 1 (+ x y)) (/ x (+ x y))))

simplify1.4s

Counts
102 → 102
Iterations

Useful iterations: done (1.4s)

IterNodesCost
010233870
121631029
288327896
done500127141

prune633.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
011284
117284
done17284

end0.0ms

sample677.0ms

Algorithm
intervals
Results
500.0ms8000×body80valid