Details

Time bar (total: 15.2s)

sample28.0ms

Algorithm
intervals
Results
13.0ms256×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1149
2289
3429
4449
done449

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.1b

localize7.0ms

Local error

Found 1 expressions with local error:

14.5b
(/ (+ x y) (* (* x 2.0) y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×*-un-lft-identity
4×times-frac associate-/l*
3×cbrt-undiv add-sqr-sqrt add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out
1×pow1 expm1-log1p-u frac-2neg flip3-+ clear-num associate-/r* flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 29
Calls
1 calls:
59.0ms
(/ (+ x y) (* (* x 2.0) y))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(/ (+ x y) (* (* x 2.0) y))

simplify3.7s

Counts
32 → 32
Iterations

Useful iterations: 2 (131.0ms)

IterNodesCost
075426
1218411
2874333
34593333
done5000333

prune104.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) y)
4.3b
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
35×*-un-lft-identity
28×times-frac
26×add-sqr-sqrt
25×add-cbrt-cube
21×add-cube-cbrt
20×prod-exp
16×div-exp associate-*r*
8×cbrt-undiv cbrt-unprod
7×associate-*l* distribute-lft-out
4×pow1 rec-exp 1-exp associate-/l*
3×associate-/r* div-inv
2×expm1-log1p-u log1p-expm1-u associate-/l/ add-log-exp unswap-sqr
1×frac-times frac-2neg flip3-+ associate-*r/ pow-prod-down associate-*l/ clear-num *-commutative flip-+
Counts
2 → 94
Calls
2 calls:
32.0ms
(/ (+ x y) y)
75.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

series99.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(/ (+ x y) y)
66.0ms
(* (/ 1 (* x 2.0)) (/ (+ x y) y))

simplify2.2s

Counts
100 → 100
Iterations

Useful iterations: 2 (392.0ms)

IterNodesCost
01541304
14041141
21579957
done5000957

prune190.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
7.9b
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

rewrite199.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
34×*-un-lft-identity
32×add-cbrt-cube
30×add-sqr-sqrt
25×cbrt-prod associate-*r*
24×times-frac
22×add-cube-cbrt
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1 cbrt-div distribute-lft-out
5×associate-*l*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×flip3-+ pow1/3 flip-+ unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 115
Calls
4 calls:
8.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ x y))
169.0ms
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

series658.0ms

Counts
4 → 12
Calls
4 calls:
163.0ms
(cbrt (+ x y))
198.0ms
(cbrt (+ x y))
168.0ms
(cbrt (+ x y))
128.0ms
(* (/ (* (cbrt (+ x y)) (cbrt (+ x y))) (* x 2.0)) (/ (cbrt (+ x y)) y))

simplify1.9s

Counts
127 → 127
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01902374
15522235
227391690
done50001513

prune390.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ x y) (* x 2.0))
9.0b
(/ (/ (+ x y) (* x 2.0)) y)

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
33×*-un-lft-identity
21×add-sqr-sqrt add-cube-cbrt
16×add-exp-log add-cbrt-cube
12×associate-/l*
7×cbrt-undiv div-exp
6×div-inv distribute-lft-out
4×associate-/r*
3×associate-/l/
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u add-log-exp
1×flip3-+ flip-+
Counts
2 → 81
Calls
2 calls:
43.0ms
(/ (+ x y) (* x 2.0))
61.0ms
(/ (/ (+ x y) (* x 2.0)) y)

series154.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(/ (+ x y) (* x 2.0))
91.0ms
(/ (/ (+ x y) (* x 2.0)) y)

simplify3.7s

Counts
87 → 87
Iterations

Useful iterations: 2 (279.0ms)

IterNodesCost
01381163
13391124
210781002
346081002
done50001002

prune176.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes48.0ms

Accuracy

95.2% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 7.6b

bsearch114.0ms

Steps
ItersRangePoint
9
2.4768782891511668e-36
5.237808144920513e-30
5.173054498508759e-30
9
-1.4086436140166376e-86
-6.4582416939645644e-93
-1.3920960793428482e-86

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01739
12529
done2529

end0.0ms

sample1.0s

Algorithm
intervals
Results
405.0ms8002×body80valid