Details

Time bar (total: 12.5s)

sample23.0ms

Algorithm
intervals
Results
10.0ms256×body80valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite47.0ms

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:
44.0ms
(/ (+ x y) (- x y))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ (+ x y) (- x y))

simplify3.0s

Counts
50 → 50
Iterations

Useful iterations: 3 (291.0ms)

IterNodesCost
078606
1175582
2454554
31120547
43134547
done5002547

prune118.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
306×*-un-lft-identity
238×cbrt-prod
190×times-frac
174×add-sqr-sqrt
86×add-cube-cbrt
53×distribute-lft-out
51×swap-sqr
44×distribute-lft-out--
32×difference-of-squares
29×associate-*r* associate-*l*
14×associate-/r/
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div flip3-- flip-- div-inv
6×add-exp-log
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 252
Calls
4 calls:
13.0ms
(cbrt (/ (+ x y) (- x y)))
11.0ms
(cbrt (/ (+ x y) (- x y)))
10.0ms
(cbrt (/ (+ x y) (- x y)))
149.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
278.0ms
(cbrt (/ (+ x y) (- x y)))
261.0ms
(cbrt (/ (+ x y) (- x y)))
283.0ms
(cbrt (/ (+ x y) (- x y)))
205.0ms
(* (cbrt (/ (+ x y) (- x y))) (cbrt (/ (+ x y) (- x y))))

simplify2.7s

Counts
264 → 264
Iterations

Useful iterations: done (2.7s)

IterNodesCost
01875440
12925064
27694946
312454629
428504619
done50014542

prune630.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x y)) (cbrt (- x y)))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))
0.6b
(cbrt (- x y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
6×add-exp-log
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 109
Calls
4 calls:
55.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
5.0ms
(cbrt (- x y))
6.0ms
(cbrt (- x y))
10.0ms
(cbrt (- x y))

series693.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(* (cbrt (- x y)) (cbrt (- x y)))
186.0ms
(cbrt (- x y))
180.0ms
(cbrt (- x y))
171.0ms
(cbrt (- x y))

simplify2.9s

Counts
121 → 121
Iterations

Useful iterations: done (2.9s)

IterNodesCost
01351434
12711320
26481262
314271156
438901116
done50001112

prune359.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes60.0ms

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

sample562.0ms

Algorithm
intervals
Results
282.0ms8000×body80valid