Details

Time bar (total: 9.2s)

sample24.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify21.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2147
3177
4187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 8.1b

localize6.0ms

Local error

Found 1 expressions with local error:

7.6b
(/ (* x y) (+ y 1.0))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×add-exp-log add-cbrt-cube
4×times-frac associate-/r*
3×add-sqr-sqrt add-cube-cbrt
2×cbrt-undiv div-exp associate-/r/ distribute-lft-out
1×pow1 frac-2neg flip3-+ prod-exp clear-num cbrt-unprod flip-+ div-inv associate-/l* add-log-exp
Counts
1 → 25
Calls
1 calls:
16.0ms
(/ (* x y) (+ y 1.0))

series90.0ms

Counts
1 → 3
Calls
1 calls:
90.0ms
(/ (* x y) (+ y 1.0))

simplify2.4s

Counts
28 → 28
Iterations

Useful iterations: 3 (857.0ms)

IterNodesCost
072319
1193304
2660256
32625250
done5000250

prune64.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
108×times-frac
92×*-un-lft-identity
60×add-sqr-sqrt add-cube-cbrt
19×associate-/r*
16×distribute-lft-out
9×add-exp-log add-cbrt-cube
7×associate-/l*
6×div-inv
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num associate-/l/ add-log-exp
1×flip3-+ associate-/r/ flip-+
Counts
2 → 115
Calls
2 calls:
36.0ms
(/ (+ y 1.0) y)
36.0ms
(/ x (/ (+ y 1.0) y))

series143.0ms

Counts
2 → 6
Calls
2 calls:
72.0ms
(/ (+ y 1.0) y)
71.0ms
(/ x (/ (+ y 1.0) y))

simplify2.7s

Counts
121 → 121
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
01841654
14111532
212501450
336471442
done50001442

prune281.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ y 1.0))
0.1b
(/ x (sqrt (+ y 1.0)))
0.2b
(/ y (sqrt (+ y 1.0)))
1.4b
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
96×add-sqr-sqrt times-frac
95×*-un-lft-identity
66×sqrt-prod
65×add-cube-cbrt
27×associate-*r* associate-*l*
20×add-exp-log add-cbrt-cube
15×distribute-lft-out
14×associate-/r*
10×sqrt-div
9×unswap-sqr
8×associate-/r/
7×pow1
6×cbrt-undiv div-exp associate-/l*
5×flip3-+ flip-+
4×prod-exp cbrt-unprod div-inv add-log-exp
2×frac-2neg clear-num
1×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 189
Calls
4 calls:
11.0ms
(sqrt (+ y 1.0))
12.0ms
(/ x (sqrt (+ y 1.0)))
13.0ms
(/ y (sqrt (+ y 1.0)))
120.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

series368.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(sqrt (+ y 1.0))
116.0ms
(/ x (sqrt (+ y 1.0)))
139.0ms
(/ y (sqrt (+ y 1.0)))
73.0ms
(* (/ x (sqrt (+ y 1.0))) (/ y (sqrt (+ y 1.0))))

simplify1.5s

Counts
201 → 201
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02572975
16592725
220042431
done50002410

prune594.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
177
done77

end0.0ms

sample582.0ms

Algorithm
intervals
Results
355.0ms8000×body80valid