Details

Time bar (total: 12.8s)

sample29.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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:
31.0ms
(/ (+ x y) (- x y))

series87.0ms

Counts
1 → 3
Calls
1 calls:
87.0ms
(/ (+ x y) (- x y))

simplify2.8s

Counts
48 → 48
Iterations

Useful iterations: 3 (598.0ms)

IterNodesCost
076590
1175567
2587541
33427532
done5002532

prune211.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(cbrt (pow (/ (+ x y) (- x y)) 3))
0.0b
(pow (/ (+ x y) (- x y)) 3)
0.0b
(/ (+ x y) (- x y))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
100×times-frac
98×add-sqr-sqrt
58×cbrt-prod
56×add-cube-cbrt
52×unpow-prod-down cube-prod
26×distribute-lft-out
21×distribute-lft-out-- difference-of-squares
10×associate-/r/
8×add-exp-log add-cbrt-cube
5×flip3-- associate-/r* flip-- div-inv
4×pow1 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 flip3-+ pow1/3 clear-num rem-cbrt-cube flip-+
Counts
3 → 185
Calls
3 calls:
42.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
50.0ms
(pow (/ (+ x y) (- x y)) 3)
44.0ms
(/ (+ x y) (- x y))

series351.0ms

Counts
3 → 9
Calls
3 calls:
126.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
136.0ms
(pow (/ (+ x y) (- x y)) 3)
88.0ms
(/ (+ x y) (- x y))

simplify1.9s

Counts
194 → 194
Iterations

Useful iterations: 2 (531.0ms)

IterNodesCost
01753344
16252789
235562587
done50012587

prune441.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
39×*-un-lft-identity
32×times-frac
22×add-cube-cbrt
21×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/r*
4×div-exp associate-*l* prod-exp associate-/r/
3×associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ div-inv add-log-exp
1×pow-flip frac-2neg associate-*r/ pow-prod-down clear-num un-div-inv *-commutative distribute-lft-out inv-pow
Counts
2 → 90
Calls
2 calls:
14.0ms
(/ 1 (- x y))
48.0ms
(* (+ x y) (/ 1 (- x y)))

series145.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ 1 (- x y))
95.0ms
(* (+ x y) (/ 1 (- x y)))

simplify3.4s

Counts
96 → 96
Iterations

Useful iterations: 2 (453.0ms)

IterNodesCost
01201022
1311875
22613744
done5001744

prune593.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3))
0.0b
(pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3)
0.1b
(/ (sqrt (+ x y)) (- x y))
0.1b
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
100×*-un-lft-identity
92×add-sqr-sqrt
74×times-frac
53×sqrt-prod
46×add-cube-cbrt
41×associate-*r*
17×add-exp-log add-cbrt-cube
15×distribute-lft-out-- difference-of-squares
14×sqrt-div
12×distribute-lft-out
10×cube-div
9×pow1
8×cbrt-prod
7×flip3-+ associate-*l* flip-+ associate-/l*
6×frac-times associate-*l/ unswap-sqr
5×cbrt-div associate-/r*
4×prod-exp associate-/r/ cbrt-unprod add-log-exp
3×cbrt-undiv pow-unpow associate-*r/ div-exp pow-exp rem-cube-cbrt
2×cube-mult unpow-prod-down flip3-- pow-pow unpow3 cube-prod pow-prod-down flip-- div-inv associate-/l/ sqr-pow
1×pow-to-exp frac-2neg pow1/3 clear-num *-commutative rem-cbrt-cube
Counts
4 → 186
Calls
4 calls:
6.0ms
(cbrt (pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3))
32.0ms
(pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3)
35.0ms
(/ (sqrt (+ x y)) (- x y))
93.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

series404.0ms

Counts
4 → 12
Calls
4 calls:
88.0ms
(cbrt (pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3))
111.0ms
(pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3)
107.0ms
(/ (sqrt (+ x y)) (- x y))
97.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

simplify361.0ms

Counts
198 → 198
Iterations

Useful iterations: done (355.0ms)

IterNodesCost
02253395
16212970
done50012452

prune813.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes158.0ms

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
0810
1910
done910

end0.0ms

sample571.0ms

Algorithm
intervals
Results
255.0ms8000×body80valid