Details

Time bar (total: 12.6s)

sample28.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify8.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 1 expressions with local error:

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

rewrite58.0ms

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 expm1-log1p-u flip3-- frac-2neg flip3-+ div-exp clear-num flip-- flip-+ log1p-expm1-u div-inv add-log-exp
Counts
1 → 47
Calls
1 calls:
49.0ms
(/ (+ x y) (- x y))

series89.0ms

Counts
1 → 3
Calls
1 calls:
89.0ms
(/ (+ x y) (- x y))

simplify2.3s

Counts
50 → 50
Iterations

Useful iterations: 3 (630.0ms)

IterNodesCost
078606
1180582
2605554
33573547
done5000547

prune236.0ms

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))

rewrite100.0ms

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×expm1-log1p-u pow-unpow log1p-expm1-u 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 → 191
Calls
3 calls:
22.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
26.0ms
(pow (/ (+ x y) (- x y)) 3)
33.0ms
(/ (+ x y) (- x y))

series360.0ms

Counts
3 → 9
Calls
3 calls:
149.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
113.0ms
(pow (/ (+ x y) (- x y)) 3)
97.0ms
(/ (+ x y) (- x y))

simplify2.3s

Counts
200 → 200
Iterations

Useful iterations: 2 (644.0ms)

IterNodesCost
01813402
16372836
235742634
done50002634

prune589.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite72.0ms

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 expm1-log1p-u frac-times rec-exp flip3-- flip3-+ 1-exp associate-*l/ flip-- cbrt-unprod flip-+ log1p-expm1-u 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 → 94
Calls
2 calls:
13.0ms
(/ 1 (- x y))
55.0ms
(* (+ x y) (/ 1 (- x y)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ 1 (- x y))
97.0ms
(* (+ x y) (/ 1 (- x y)))

simplify3.5s

Counts
100 → 100
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01241054
1317898
22738771
done5000769

prune256.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize30.0ms

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)))

rewrite174.0ms

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×expm1-log1p-u prod-exp associate-/r/ cbrt-unprod log1p-expm1-u 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 → 194
Calls
4 calls:
6.0ms
(cbrt (pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3))
38.0ms
(pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3)
37.0ms
(/ (sqrt (+ x y)) (- x y))
77.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

series411.0ms

Counts
4 → 12
Calls
4 calls:
103.0ms
(cbrt (pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3))
110.0ms
(pow (* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y))) 3)
101.0ms
(/ (sqrt (+ x y)) (- x y))
96.0ms
(* (sqrt (+ x y)) (/ (sqrt (+ x y)) (- x y)))

simplify367.0ms

Counts
206 → 206
Iterations

Useful iterations: done (360.0ms)

IterNodesCost
02333507
16363070
done50002516

prune909.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes149.0ms

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

sample555.0ms

Algorithm
intervals
Results
258.0ms8000×body80valid