Details

Time bar (total: 8.8s)

sample20.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify16.0ms

Counts
1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
22×add-sqr-sqrt
20×times-frac
12×add-cube-cbrt
6×distribute-lft-out
5×associate-/r* distribute-lft-out-- difference-of-squares
4×associate-/l*
3×add-exp-log add-cbrt-cube
2×associate-/r/ associate-/l/
1×pow1 cbrt-undiv flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ div-inv add-log-exp
Counts
1 → 45
Calls
1 calls:
24.0ms
(/ (+ x y) (- x y))

series71.0ms

Counts
1 → 3
Calls
1 calls:
71.0ms
(/ (+ x y) (- x y))

simplify631.0ms

Counts
48 → 48

prune91.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (/ (- x y) (+ x y)))
0.0b
(/ (- x y) (+ x y))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
178×times-frac
174×*-un-lft-identity
122×add-sqr-sqrt
80×add-cube-cbrt
30×associate-/r*
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
15×add-exp-log
11×associate-/r/
9×add-cbrt-cube
8×div-exp associate-/l*
6×div-inv
5×flip3-+ flip-+
4×cbrt-undiv
3×pow1
2×rec-exp frac-2neg 1-exp clear-num associate-/l/ add-log-exp
1×flip3-- pow-flip div-sub flip-- inv-pow
Counts
2 → 174
Calls
2 calls:
28.0ms
(/ 1 (/ (- x y) (+ x y)))
27.0ms
(/ (- x y) (+ x y))

series190.0ms

Counts
2 → 6
Calls
2 calls:
100.0ms
(/ 1 (/ (- x y) (+ x y)))
90.0ms
(/ (- x y) (+ x y))

simplify713.0ms

Counts
180 → 180

prune286.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
28×prod-exp add-cbrt-cube
12×add-sqr-sqrt *-un-lft-identity div-exp cbrt-unprod
11×associate-*r*
10×times-frac
8×1-exp
7×pow1 associate-*r/
6×cbrt-undiv add-cube-cbrt sqrt-div
5×associate-/r*
4×associate-/r/
3×flip3-+ pow-prod-down flip-+ distribute-lft-out-- difference-of-squares
2×frac-times flip3-- associate-*l/ flip-- div-inv associate-/l/ add-log-exp
1×frac-2neg associate-*l* clear-num *-commutative associate-/l*
Counts
2 → 75
Calls
2 calls:
83.0ms
(* (* 1 (sqrt (+ x y))) (/ (* 1 (sqrt (+ x y))) (- x y)))
36.0ms
(/ (* 1 (sqrt (+ x y))) (- x y))

series204.0ms

Counts
2 → 6
Calls
2 calls:
105.0ms
(* (* 1 (sqrt (+ x y))) (/ (* 1 (sqrt (+ x y))) (- x y)))
99.0ms
(/ (* 1 (sqrt (+ x y))) (- x y))

simplify624.0ms

Counts
81 → 81

prune156.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (/ (+ x y) (- x y)))
0.0b
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
0.0b
(/ (+ x y) (- x y))
0.0b
(/ (+ x y) (- x y))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
316×*-un-lft-identity
191×times-frac
188×sqrt-prod
187×add-sqr-sqrt
88×add-cube-cbrt
55×distribute-lft-out
53×swap-sqr
46×distribute-lft-out--
34×difference-of-squares
29×associate-*r* associate-*l*
20×pow1
14×associate-/r/
10×add-exp-log associate-/r* add-cbrt-cube
9×sqrt-pow1 pow1/2 unswap-sqr
8×associate-/l*
7×flip3-- flip-- div-inv
5×sqrt-div pow-prod-up
4×associate-/l/ add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square frac-2neg flip3-+ div-exp clear-num flip-+
1×pow2 frac-times pow-plus sqrt-unprod associate-*r/ associate-*l/ prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 276
Calls
4 calls:
19.0ms
(sqrt (/ (+ x y) (- x y)))
92.0ms
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
28.0ms
(/ (+ x y) (- x y))
24.0ms
(/ (+ x y) (- x y))

series383.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(sqrt (/ (+ x y) (- x y)))
76.0ms
(* (sqrt (/ (+ x y) (- x y))) (sqrt (/ (+ x y) (- x y))))
65.0ms
(/ (+ x y) (- x y))
71.0ms
(/ (+ x y) (- x y))

simplify1.0s

Counts
288 → 288

prune690.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

45.5% (0.0b remaining)

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

bsearch0.0ms

simplify2.6s

end0.0ms

sample601.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid