Details

Time bar (total: 6.1s)

sample16.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
187
done87

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
31×*-un-lft-identity
16×times-frac
11×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
4×associate-/r* associate-/l*
3×add-exp-log add-cbrt-cube
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv frac-2neg div-exp clear-num div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
8.0ms
(/ (+ x y) (+ y 1.0))

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(/ (+ x y) (+ y 1.0))

simplify1.7s

Counts
43 → 43
Iterations

Useful iterations: 2 (64.0ms)

IterNodesCost
078536
1192511
2469477
31092477
42606477
done5001477

prune56.0ms

Filtered
28 candidates to 43 candidates (-53.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New39443
Fresh000
Picked011
Done000
Total39544

Merged error: 0b

Counts
44 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
139×*-un-lft-identity
120×times-frac
116×add-sqr-sqrt
79×sqrt-prod
69×add-cube-cbrt
34×associate-*r*
32×add-exp-log distribute-lft-out
27×associate-*l*
20×add-cbrt-cube
15×unswap-sqr
14×associate-/r*
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv flip3-+ flip-+
4×cbrt-unprod div-inv add-log-exp
3×rec-exp pow-flip 1-exp
2×frac-2neg sqrt-pow1 pow1/2 clear-num associate-/l/
1×frac-times rem-sqrt-square associate-*r/ pow-prod-down associate-*l/ *-commutative inv-pow
Counts
4 → 222
Calls
4 calls:
3.0ms
(sqrt (+ y 1.0))
7.0ms
(/ 1 (sqrt (+ y 1.0)))
35.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
9.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(sqrt (+ y 1.0))
4.0ms
(/ 1 (sqrt (+ y 1.0)))
6.0ms
(* (/ 1 (sqrt (+ y 1.0))) (/ (+ x y) (sqrt (+ y 1.0))))
12.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

simplify1.2s

Counts
234 → 234
Iterations

Useful iterations: 2 (591.0ms)

IterNodesCost
02863904
17893415
225492983
done50002983

prune283.0ms

Filtered
120 candidates to 234 candidates (-95.0%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New2340234
Fresh033
Picked011
Done011
Total2345239

Merged error: 0b

Counts
239 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
17.3b
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
42×*-un-lft-identity
33×times-frac
29×add-sqr-sqrt
22×add-cube-cbrt associate-*l*
10×difference-of-squares
9×add-exp-log add-cbrt-cube distribute-lft-out
5×associate-*r*
4×pow1 flip3-- associate-/r* associate-/r/ flip-- associate-/l*
2×cbrt-undiv distribute-rgt-in frac-times sub-neg distribute-lft-in associate-*r/ div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ pow-prod-down associate-*l/ clear-num *-commutative flip-+ distribute-lft-out--
Counts
2 → 91
Calls
2 calls:
16.0ms
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
10.0ms
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

series26.0ms

Counts
2 → 6
Calls
2 calls:
13.0ms
(* (/ (+ x y) (- (* y y) (* 1.0 1.0))) (- y 1.0))
13.0ms
(/ (+ x y) (- (* y y) (* 1.0 1.0)))

simplify971.0ms

Counts
97 → 97
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
01661805
14411769
217231611
done50011611

prune118.0ms

Filtered
70 candidates to 97 candidates (-38.6%)
Pruning

5 alts after pruning (2 fresh and 3 done)

PrunedKeptTotal
New97097
Fresh022
Picked011
Done022
Total975102

Merged error: 0b

Counts
102 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x y) (+ y 1.0))
0.1b
(pow (/ (+ x y) (+ y 1.0)) 3)
18.2b
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
135×*-un-lft-identity
80×times-frac
51×add-sqr-sqrt add-cube-cbrt
50×cbrt-prod
44×unpow-prod-down cube-prod
42×distribute-lft-out
10×associate-/r/
8×add-exp-log add-cbrt-cube
6×flip3-+ flip-+
5×div-inv
4×pow1 associate-/r* associate-/l*
3×pow-unpow add-log-exp
2×cbrt-undiv cube-div cube-mult unpow3 div-exp pow-exp associate-/l/ rem-cube-cbrt sqr-pow
1×pow-to-exp cbrt-div pow-pow frac-2neg pow1/3 clear-num rem-cbrt-cube
Counts
3 → 164
Calls
3 calls:
11.0ms
(/ (+ x y) (+ y 1.0))
10.0ms
(pow (/ (+ x y) (+ y 1.0)) 3)
10.0ms
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

series31.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ (+ x y) (+ y 1.0))
16.0ms
(pow (/ (+ x y) (+ y 1.0)) 3)
9.0ms
(cbrt (pow (/ (+ x y) (+ y 1.0)) 3))

simplify792.0ms

Counts
173 → 173
Iterations

Useful iterations: 2 (261.0ms)

IterNodesCost
01912988
15232464
216332239
done50012239

prune137.0ms

Filtered
79 candidates to 173 candidates (-119.0%)
Pruning

5 alts after pruning (1 fresh and 4 done)

PrunedKeptTotal
New1730173
Fresh011
Picked011
Done033
Total1735178

Merged error: 0b

Counts
178 → 5

regimes121.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample399.0ms

Algorithm
intervals
Results
179.0ms8000×body80valid

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