Details

Time bar (total: 12.1s)

sample16.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify248.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
079
1159
2369
3749
41239
51559
61679
71709
done1709

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.2b

localize10.0ms

Local error

Found 1 expressions with local error:

13.7b
(/ (* (* 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))

series96.0ms

Counts
1 → 3
Calls
1 calls:
96.0ms
(/ (* (* x 2.0) y) (- x y))

simplify1.5s

Counts
34 → 34
Iterations

Useful iterations: 2 (163.0ms)

IterNodesCost
079420
1211400
2995334
done5000334

prune78.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
5.7b
(* (* x 2.0) (/ y (- x y)))

rewrite70.0ms

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:
16.0ms
(/ y (- x y))
47.0ms
(* (* x 2.0) (/ y (- x y)))

series163.0ms

Counts
2 → 6
Calls
2 calls:
75.0ms
(/ y (- x y))
87.0ms
(* (* x 2.0) (/ y (- x y)))

simplify2.4s

Counts
88 → 88
Iterations

Useful iterations: 2 (323.0ms)

IterNodesCost
0120947
1304888
21244788
done5000788

prune233.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
6.7b
(/ (* x 2.0) (/ (- x y) y))

rewrite88.0ms

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:
43.0ms
(/ (- x y) y)
36.0ms
(/ (* x 2.0) (/ (- x y) y))

series120.0ms

Counts
2 → 6
Calls
2 calls:
28.0ms
(/ (- x y) y)
92.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify1.7s

Counts
106 → 106
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01551282
13771208
213241094
done50001092

prune340.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- x y))
5.9b
(* (/ x (- x y)) (* 2.0 y))

rewrite91.0ms

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:
18.0ms
(/ x (- x y))
68.0ms
(* (/ x (- x y)) (* 2.0 y))

series152.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ x (- x y))
94.0ms
(* (/ x (- x y)) (* 2.0 y))

simplify3.6s

Counts
88 → 88
Iterations

Useful iterations: 2 (211.0ms)

IterNodesCost
0123926
1314888
2985786
34145786
done5001786

prune221.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes85.0ms

Accuracy

91.4% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 6.9b

bsearch55.0ms

Steps
ItersRangePoint
7
8.935600189302586e-97
1.402386279694955e-94
1.3683903976416613e-94
5
-1.3539260802712303e+78
-5.854806471336612e+77
-6.288127369736003e+77

simplify7.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02039
13429
23629
done3629

end0.0ms

sample659.0ms

Algorithm
intervals
Results
460.0ms8000×body80valid