Details

Time bar (total: 7.5s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify137.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1159
2369
3749
41239
51559
61679
71709
done1709

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize6.0ms

Local error

Found 1 expressions with local error:

14.7b
(/ (* (* x 2.0) y) (- x y))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/r*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/r/ distribute-lft-out-- difference-of-squares
1×pow1 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
29.0ms
(/ (* (* x 2.0) y) (- x y))

series66.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(/ (* (* x 2.0) y) (- x y))

simplify975.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
079420
1211400
2995334
done5000334

prune57.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
4.4b
(* (* x 2.0) (/ y (- x y)))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
12.0ms
(/ y (- x y))
39.0ms
(* (* x 2.0) (/ y (- x y)))

series111.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ y (- x y))
62.0ms
(* (* x 2.0) (/ y (- x y)))

simplify1.2s

Counts
88 → 88
Iterations

Useful iterations: 2 (172.0ms)

IterNodesCost
0120947
1304888
21244788
done5000788

prune140.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
5.2b
(/ (* x 2.0) (/ (- x y) y))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
7×cbrt-undiv div-exp
6×associate-/l*
4×div-inv
2×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
1×flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
18.0ms
(/ (- x y) y)
21.0ms
(/ (* x 2.0) (/ (- x y) y))

series94.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(/ (- x y) y)
68.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify1.3s

Counts
106 → 106
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01551282
13771208
213241094
done50001092

prune183.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- x y))
8.5b
(* (/ x (- x y)) (* 2.0 y))

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*l*
16×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×prod-exp cbrt-unprod
5×associate-/r*
4×associate-/r/
3×cbrt-undiv div-exp pow-prod-down associate-/l*
2×expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
1×frac-2neg associate-*r* associate-*l/ clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
12.0ms
(/ x (- x y))
45.0ms
(* (/ x (- x y)) (* 2.0 y))

series111.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ x (- x y))
67.0ms
(* (/ x (- x y)) (* 2.0 y))

simplify2.3s

Counts
88 → 88
Iterations

Useful iterations: 2 (143.0ms)

IterNodesCost
0123926
1314888
2985786
34145786
done5001786

prune151.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes45.0ms

Accuracy

96.5% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 7.1b

bsearch38.0ms

Steps
ItersRangePoint
5
2.1715594768763905e+38
5.9477792038880074e+38
2.21068044499627e+38
7
-5.348618402558957e+77
-3.0262161761907413e+75
-3.184854055588867e+75

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01635
12227
done2227

end0.0ms

sample373.0ms

Algorithm
intervals
Results
184.0ms8000×body80valid