Details

Time bar (total: 13.6s)

sample27.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify7.0ms

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

localize10.0ms

Local error

Found 1 expressions with local error:

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

rewrite63.0ms

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:
60.0ms
(/ (+ x y) (- x y))

series83.0ms

Counts
1 → 3
Calls
1 calls:
83.0ms
(/ (+ x y) (- x y))

simplify2.3s

Counts
48 → 48
Iterations

Useful iterations: 3 (221.0ms)

IterNodesCost
076590
1170567
2438539
31031532
42681532
done5002532

prune91.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.5b
(* (cbrt (- x y)) (cbrt (- x y)))

rewrite120.0ms

Algorithm
rewrite-expression-head
Rules
60×cbrt-prod
54×*-un-lft-identity
46×add-sqr-sqrt
28×cbrt-div
22×add-cube-cbrt
19×swap-sqr
18×pow1
15×associate-*r* associate-*l*
14×pow1/3
8×add-exp-log frac-times flip3-+ flip-+ distribute-lft-out unswap-sqr
6×flip3-- flip-- distribute-lft-out--
4×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up add-cbrt-cube add-log-exp difference-of-squares
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 137
Calls
4 calls:
7.0ms
(cbrt (+ x y))
7.0ms
(cbrt (+ x y))
44.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
52.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

series621.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(cbrt (+ x y))
150.0ms
(cbrt (+ x y))
182.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
145.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

simplify1.7s

Counts
149 → 149
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01741931
13461730
28781646
319541524
done50001508

prune620.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(cbrt (+ x y))
0.5b
(* (cbrt (- x y)) (cbrt (- x y)))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
40×cbrt-prod
35×*-un-lft-identity
31×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×pow1/3
8×associate-*r* associate-*l*
6×add-exp-log flip3-- flip-- distribute-lft-out--
4×frac-times add-cbrt-cube add-log-exp difference-of-squares unswap-sqr
3×flip3-+ flip-+ distribute-lft-out
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 98
Calls
4 calls:
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
71.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

series688.0ms

Counts
4 → 12
Calls
4 calls:
162.0ms
(cbrt (+ x y))
173.0ms
(cbrt (+ x y))
154.0ms
(cbrt (+ x y))
198.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

simplify2.7s

Counts
110 → 110
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01371309
12721191
26331133
313711070
438211056
done50011032

prune493.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
0.3b
(/ (- x y) (sqrt (+ x y)))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
602×times-frac
554×*-un-lft-identity
378×add-sqr-sqrt
352×sqrt-prod
250×add-cube-cbrt
88×distribute-lft-out
64×distribute-lft-out-- difference-of-squares
48×associate-/r*
20×sqrt-div
19×associate-/r/
12×associate-/l*
10×flip3-+ flip-+ div-inv
9×add-exp-log add-cbrt-cube
4×cbrt-undiv div-exp associate-/l/
2×pow1 frac-2neg clear-num add-log-exp
1×flip3-- div-sub flip--
Counts
2 → 416
Calls
2 calls:
62.0ms
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
33.0ms
(/ (- x y) (sqrt (+ x y)))

series188.0ms

Counts
2 → 6
Calls
2 calls:
96.0ms
(/ (sqrt (+ x y)) (/ (- x y) (sqrt (+ x y))))
91.0ms
(/ (- x y) (sqrt (+ x y)))

simplify2.0s

Counts
422 → 422
Iterations

Useful iterations: done (2.0s)

IterNodesCost
038110967
18379698
227478870
done50008543

prune617.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes82.0ms

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
057
167
done67

end0.0ms

sample849.0ms

Algorithm
intervals
Results
266.0ms8000×body80valid