Details

Time bar (total: 8.1s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Counts
1 → 1

prune1.0ms

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))

rewrite33.0ms

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:
32.0ms
(/ (+ x y) (- x y))

series65.0ms

Counts
1 → 3
Calls
1 calls:
65.0ms
(/ (+ x y) (- x y))

simplify637.0ms

Counts
48 → 48

prune91.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ 1 (- x y))
0.1b
(* (/ 1 (- x y)) (+ x y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*l*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*r* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*r/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×distribute-rgt-in pow-flip frac-2neg distribute-lft-in pow-prod-down associate-*l/ clear-num *-commutative distribute-lft-out inv-pow
Counts
2 → 91
Calls
2 calls:
18.0ms
(/ 1 (- x y))
70.0ms
(* (/ 1 (- x y)) (+ x y))

series136.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(/ 1 (- x y))
89.0ms
(* (/ 1 (- x y)) (+ x y))

simplify735.0ms

Counts
97 → 97

prune159.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ 1 (cbrt (- x y))) (cbrt (- x y)))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))
0.5b
(cbrt (- x y))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
456×times-frac
326×add-sqr-sqrt *-un-lft-identity
305×cbrt-prod
204×add-cube-cbrt
61×distribute-lft-out-- difference-of-squares
30×associate-/l*
26×cbrt-div
20×associate-/r/
13×add-exp-log flip3-- flip--
10×div-inv
8×associate-/r*
7×pow1
6×div-exp add-cbrt-cube
5×pow1/3
4×add-log-exp
3×cbrt-undiv pow-div
2×pow-flip
1×rec-exp frac-2neg 1-exp clear-num associate-/l/ inv-pow
Counts
4 → 345
Calls
4 calls:
59.0ms
(/ (/ 1 (cbrt (- x y))) (cbrt (- x y)))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))
4.0ms
(cbrt (- x y))

series738.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(/ (/ 1 (cbrt (- x y))) (cbrt (- x y)))
183.0ms
(cbrt (- x y))
181.0ms
(cbrt (- x y))
205.0ms
(cbrt (- x y))

simplify1.2s

Counts
357 → 357

prune616.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- x y))
0.2b
(/ 1 (sqrt (- x y)))
0.2b
(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
0.2b
(/ (+ x y) (sqrt (- x y)))

rewrite214.0ms

Algorithm
rewrite-expression-head
Rules
154×add-sqr-sqrt
147×*-un-lft-identity
134×times-frac
96×sqrt-prod
73×add-cube-cbrt
38×associate-*r*
32×add-exp-log
30×associate-*l*
20×add-cbrt-cube
17×distribute-lft-out distribute-lft-out-- difference-of-squares
16×associate-/r*
15×unswap-sqr
11×div-exp
10×sqrt-div
9×pow1
8×prod-exp associate-/r/
7×associate-/l*
6×cbrt-undiv
5×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 flip3-+ associate-*r/ pow-prod-down associate-*l/ *-commutative flip-+ inv-pow
Counts
4 → 239
Calls
4 calls:
7.0ms
(sqrt (- x y))
14.0ms
(/ 1 (sqrt (- x y)))
143.0ms
(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
34.0ms
(/ (+ x y) (sqrt (- x y)))

series471.0ms

Counts
4 → 12
Calls
4 calls:
71.0ms
(sqrt (- x y))
102.0ms
(/ 1 (sqrt (- x y)))
103.0ms
(* (/ 1 (sqrt (- x y))) (/ (+ x y) (sqrt (- x y))))
194.0ms
(/ (+ x y) (sqrt (- x y)))

simplify1.5s

Counts
251 → 251

prune606.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes96.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify19.0ms

end0.0ms

sample529.0ms

Algorithm
intervals
Results
273.0ms8000×body80valid