Details

Time bar (total: 4.0s)

sample15.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
057
187
297
done97

prune2.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite10.0ms

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:
8.0ms
(/ (+ x y) (- x y))

series14.0ms

Counts
1 → 3
Calls
1 calls:
14.0ms
(/ (+ x y) (- x y))

simplify804.0ms

Counts
48 → 48
Iterations

Useful iterations: 3 (123.0ms)

IterNodesCost
076590
1170567
2426539
31092532
43256532
done5000532

prune51.0ms

Filtered
32 candidates to 48 candidates (-50.0%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New44448
Fresh000
Picked101
Done000
Total45449

Merged error: 0.0b

Counts
49 → 4

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite41.0ms

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:
12.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
8.0ms
(/ (+ x y) (- x y))
11.0ms
(pow (/ (+ x y) (- x y)) 3)

series41.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(cbrt (pow (/ (+ x y) (- x y)) 3))
9.0ms
(/ (+ x y) (- x y))
15.0ms
(pow (/ (+ x y) (- x y)) 3)

simplify495.0ms

Counts
194 → 194
Iterations

Useful iterations: done (489.0ms)

IterNodesCost
01753344
14922775
217402583
done50002557

prune144.0ms

Filtered
88 candidates to 194 candidates (-120.5%)
Pruning

3 alts after pruning (3 fresh and 0 done)

PrunedKeptTotal
New1931194
Fresh123
Picked101
Done000
Total1953198

Merged error: 0b

Counts
198 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
183×*-un-lft-identity
130×exp-prod
121×add-sqr-sqrt
120×times-frac
108×log-pow
71×add-cube-cbrt
66×cbrt-prod
60×unpow-prod-down cube-prod
31×distribute-lft-out
25×distribute-lft-out-- difference-of-squares
12×associate-/r/
9×pow1
7×add-exp-log add-cbrt-cube
6×flip3-- flip-- div-inv
5×associate-/r* add-log-exp
4×associate-/l*
3×pow-unpow
2×cube-mult unpow3 associate-/l/ sqr-pow
1×cbrt-undiv pow-to-exp pow-pow frac-2neg flip3-+ pow1/3 div-exp pow-exp clear-num rem-cbrt-cube flip-+ rem-exp-log rem-cube-cbrt
Counts
4 → 231
Calls
4 calls:
10.0ms
(exp (/ (+ x y) (- x y)))
16.0ms
(cbrt (pow (log (exp (/ (+ x y) (- x y)))) 3))
9.0ms
(/ (+ x y) (- x y))
14.0ms
(pow (log (exp (/ (+ x y) (- x y)))) 3)

series51.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(exp (/ (+ x y) (- x y)))
14.0ms
(cbrt (pow (log (exp (/ (+ x y) (- x y)))) 3))
9.0ms
(/ (+ x y) (- x y))
15.0ms
(pow (log (exp (/ (+ x y) (- x y)))) 3)

simplify497.0ms

Counts
243 → 243
Iterations

Useful iterations: done (490.0ms)

IterNodesCost
02384319
15823314
216923056
done50013028

prune207.0ms

Filtered
116 candidates to 243 candidates (-109.5%)
Pruning

3 alts after pruning (2 fresh and 1 done)

PrunedKeptTotal
New2430243
Fresh022
Picked011
Done000
Total2433246

Merged error: 0b

Counts
246 → 3

localize12.0ms

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)))

rewrite39.0ms

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:
3.0ms
(cbrt (+ x y))
6.0ms
(cbrt (+ x y))
11.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
12.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

series149.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(cbrt (+ x y))
38.0ms
(cbrt (+ x y))
44.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
33.0ms
(* (cbrt (- x y)) (cbrt (- x y)))

simplify703.0ms

Counts
149 → 149
Iterations

Useful iterations: 3 (321.0ms)

IterNodesCost
01922027
13821841
210941689
333461511
done50001511

prune144.0ms

Filtered
97 candidates to 149 candidates (-53.6%)
Pruning

3 alts after pruning (1 fresh and 2 done)

PrunedKeptTotal
New1490149
Fresh011
Picked011
Done011
Total1493152

Merged error: 0b

Counts
152 → 3

regimes106.0ms

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
01012
11112
done1112

end0.0ms

sample421.0ms

Algorithm
intervals
Results
193.0ms8000×body80valid

Profiling

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