Details

Time bar (total: 29.0s)

sample30.0ms

Algorithm
intervals
Results
9.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done8
18
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 1 expressions with local error:

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

rewrite48.0ms

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-cbrt-cube add-exp-log
2×flip3-+ associate-/r/ flip-+ associate-/l/
1×pow1 cbrt-undiv clear-num frac-2neg div-exp insert-posit16 div-inv add-log-exp
Counts
1 → 41
Calls
1 calls:
45.0ms
(/ (+ x y) (+ y 1.0))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ (+ x y) (+ y 1.0))

simplify4.2s

Counts
44 → 44
Iterations
IterNodes
done5000
32626
2635
1198
079

prune418.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite310.0ms

Algorithm
rewrite-expression-head
Rules
498×*-un-lft-identity
490×times-frac
296×sqrt-prod
224×add-sqr-sqrt
222×add-cube-cbrt
138×distribute-lft-out
38×associate-/l*
24×sqrt-div
20×associate-/r/
14×associate-/r*
13×flip3-+ flip-+
11×add-cbrt-cube add-exp-log
10×div-inv
6×pow1
4×cbrt-undiv div-exp insert-posit16 add-log-exp
3×associate-/l/
2×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 387
Calls
4 calls:
18.0ms
(sqrt (+ y 1.0))
20.0ms
(sqrt (+ y 1.0))
118.0ms
(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
55.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(sqrt (+ y 1.0))
68.0ms
(sqrt (+ y 1.0))
74.0ms
(/ (/ (+ x y) (sqrt (+ y 1.0))) (sqrt (+ y 1.0)))
136.0ms
(/ (+ x y) (sqrt (+ y 1.0)))

simplify3.7s

Counts
399 → 399
Iterations
IterNodes
done5001
21824
1778
0335

prune2.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.1s

Algorithm
rewrite-expression-head
Rules
1496×times-frac
1288×sqrt-prod
1284×*-un-lft-identity
856×add-sqr-sqrt
605×add-cube-cbrt
328×associate-*r*
326×distribute-lft-out
76×sqrt-div
63×unswap-sqr
54×add-exp-log
53×associate-/l*
40×associate-/r/
36×associate-*l*
34×add-cbrt-cube
27×associate-/r*
24×div-exp
21×flip3-+ flip-+
20×div-inv
14×cbrt-undiv
12×prod-exp
9×pow1
6×cbrt-unprod
5×pow-flip
4×rec-exp sqrt-pow1 1-exp insert-posit16 add-log-exp
3×clear-num frac-2neg associate-/l/
2×pow1/2
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative inv-pow
Counts
4 → 988
Calls
4 calls:
76.0ms
(/ (+ x y) (sqrt (sqrt (+ y 1.0))))
43.0ms
(/ 1 (sqrt (sqrt (+ y 1.0))))
120.0ms
(/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (+ y 1.0)))
541.0ms
(* (/ 1 (sqrt (sqrt (+ y 1.0)))) (/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (+ y 1.0))))

series735.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(/ (+ x y) (sqrt (sqrt (+ y 1.0))))
205.0ms
(/ 1 (sqrt (sqrt (+ y 1.0))))
261.0ms
(/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (+ y 1.0)))
60.0ms
(* (/ 1 (sqrt (sqrt (+ y 1.0)))) (/ (/ (+ x y) (sqrt (sqrt (+ y 1.0)))) (sqrt (+ y 1.0))))

simplify5.1s

Counts
1000 → 1000
Iterations
IterNodes
done5001
12322
0715

prune6.7s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
11×*-un-lft-identity
10×times-frac
4×distribute-lft-out-- difference-of-squares
3×add-cube-cbrt add-log-exp
2×div-inv
1×pow1 sub-neg flip3-- add-cbrt-cube distribute-rgt-out-- diff-log add-exp-log frac-sub insert-posit16 flip-- sub-div
Counts
1 → 24
Calls
1 calls:
54.0ms
(- (/ x y) (/ 1.0 y))

series62.0ms

Counts
1 → 3
Calls
1 calls:
62.0ms
(- (/ x y) (/ 1.0 y))

simplify2.1s

Counts
27 → 27
Iterations
IterNodes
done5001
31052
2347
1130
060

prune227.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes395.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done8
18
06

end0.0ms

sample948.0ms

Algorithm
intervals
Results
665.0ms8000×body80valid