Details

Time bar (total: 3.9s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify97.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
079
1159
2359
3719
41219
51569
61779
71809
done1809

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize6.0ms

Local error

Found 1 expressions with local error:

13.4b
(/ (* (* x 2.0) y) (- x y))

rewrite11.0ms

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:
10.0ms
(/ (* (* x 2.0) y) (- x y))

series64.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(/ (* (* x 2.0) y) (- x y))

simplify390.0ms

Counts
34 → 34
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
079420
1221400
21081334
done5000334

prune58.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
6.0b
(* (* x 2.0) (/ y (- x y)))

rewrite24.0ms

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:
5.0ms
(/ y (- x y))
15.0ms
(* (* x 2.0) (/ y (- x y)))

series108.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
63.0ms
(* (* x 2.0) (/ y (- x y)))

simplify597.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (108.0ms)

IterNodesCost
0120947
1324888
21576788
done5000788

prune148.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
6.2b
(/ (* x 2.0) (/ (- x y) y))

rewrite21.0ms

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:
8.0ms
(/ (- x y) y)
9.0ms
(/ (* x 2.0) (/ (- x y) y))

series90.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- x y) y)
65.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify885.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
01551282
13991208
218631092
done50011092

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ x (- x y))
8.3b
(* (/ x (- x y)) (* 2.0 y))

rewrite29.0ms

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:
5.0ms
(/ x (- x y))
21.0ms
(* (/ x (- x y)) (* 2.0 y))

series109.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ x (- x y))
65.0ms
(* (/ x (- x y)) (* 2.0 y))

simplify471.0ms

Counts
88 → 88
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
0123926
1327888
21189786
done5001786

prune148.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

Accuracy

97.1% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 7.7b

bsearch64.0ms

Steps
ItersRangePoint
7
1.6507518246557455e-43
2.694871805994863e-42
2.310154674201339e-42
9
-1.8555276288830312e-55
-6.858272939628203e-63
-1.7373515760784264e-55

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01635
12227
done2227

end0.0ms

sample330.0ms

Algorithm
intervals
Results
193.0ms8000×body80valid