Details

Time bar (total: 14.3s)

sample54.0ms

Algorithm
intervals
Results
19.0ms256×body80valid
12.0ms256×pre80true

simplify3.6s

Counts
1 → 1
Iterations
IterNodes
done5000
74574
61116
5522
4251
3115
252
123
09

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.6b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* y y))
18.3b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×associate-/l/
7×add-cbrt-cube add-exp-log
4×add-sqr-sqrt frac-times *-un-lft-identity add-cube-cbrt
3×associate-/r* flip3-+ times-frac flip3-- flip-+ flip--
2×expm1-log1p-u pow1 cbrt-undiv div-exp associate-*l/ associate-*r/ log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 41
Calls
2 calls:
0.0ms
(fma x x (* y y))
17.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series140.0ms

Counts
2 → 6
Calls
2 calls:
40.0ms
(fma x x (* y y))
99.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.1s

Counts
47 → 47
Iterations
IterNodes
done5000
21935
1248
082

prune222.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
67×*-un-lft-identity
65×add-sqr-sqrt
58×times-frac
39×add-cube-cbrt
19×add-cbrt-cube associate-*l* add-exp-log
16×associate-*r*
9×associate-/l*
7×distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv associate-/r* div-exp
5×pow1
4×prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg
1×frac-times flip3-+ flip3-- div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ flip--
Counts
3 → 136
Calls
3 calls:
27.0ms
(/ (- x y) (hypot x y))
32.0ms
(/ (+ y x) (hypot x y))
49.0ms
(* (/ (- x y) (hypot x y)) (/ (+ y x) (hypot x y)))

series425.0ms

Counts
3 → 9
Calls
3 calls:
134.0ms
(/ (- x y) (hypot x y))
165.0ms
(/ (+ y x) (hypot x y))
127.0ms
(* (/ (- x y) (hypot x y)) (/ (+ y x) (hypot x y)))

simplify2.4s

Counts
145 → 145
Iterations
IterNodes
done5002
22761
1503
0170

prune705.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (hypot x y) (+ y x))
0.0b
(/ (- x y) (hypot x y))
0.0b
(log1p (expm1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ y x)))))
0.3b
(expm1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ y x))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
39×*-un-lft-identity
31×add-sqr-sqrt
27×times-frac
23×add-cube-cbrt
8×add-cbrt-cube add-exp-log associate-/l*
7×associate-/r*
5×log1p-expm1-u
4×expm1-log1p-u pow1 distribute-lft-out distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv clear-num frac-2neg div-exp associate-/r/ div-inv associate-/l/
1×log1p-udef expm1-log1p flip3-+ flip3-- div-sub log1p-expm1 flip-+ flip-- expm1-udef
Counts
4 → 97
Calls
4 calls:
9.0ms
(/ (hypot x y) (+ y x))
15.0ms
(/ (- x y) (hypot x y))
0.0ms
(log1p (expm1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ y x)))))
0.0ms
(expm1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ y x))))

series637.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(/ (hypot x y) (+ y x))
139.0ms
(/ (- x y) (hypot x y))
206.0ms
(log1p (expm1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ y x)))))
164.0ms
(expm1 (/ (/ (- x y) (hypot x y)) (/ (hypot x y) (+ y x))))

simplify752.0ms

Counts
109 → 109
Iterations
IterNodes
done5001
21268
1315
0149

prune564.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ y x) (hypot x y))
0.0b
(* (/ (- x y) (hypot x y)) (log1p (expm1 (/ (+ y x) (hypot x y)))))
0.0b
(log1p (expm1 (/ (+ y x) (hypot x y))))
0.5b
(expm1 (/ (+ y x) (hypot x y)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
34×add-sqr-sqrt
28×times-frac
23×add-cube-cbrt
19×associate-*l*
11×add-cbrt-cube add-exp-log
6×pow1
5×log1p-expm1-u
4×expm1-log1p-u distribute-lft-out associate-/l* add-log-exp
3×associate-/r* associate-*r* distribute-lft-out-- difference-of-squares
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×log1p-udef expm1-log1p clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ log1p-expm1 *-commutative flip-+ expm1-udef
Counts
4 → 97
Calls
4 calls:
27.0ms
(/ (+ y x) (hypot x y))
30.0ms
(* (/ (- x y) (hypot x y)) (log1p (expm1 (/ (+ y x) (hypot x y)))))
0.0ms
(log1p (expm1 (/ (+ y x) (hypot x y))))
0.0ms
(expm1 (/ (+ y x) (hypot x y)))

series755.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(/ (+ y x) (hypot x y))
222.0ms
(* (/ (- x y) (hypot x y)) (log1p (expm1 (/ (+ y x) (hypot x y)))))
196.0ms
(log1p (expm1 (/ (+ y x) (hypot x y))))
189.0ms
(expm1 (/ (+ y x) (hypot x y)))

simplify797.0ms

Counts
109 → 109
Iterations
IterNodes
done5001
21153
1339
0147

prune600.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
010

end0.0ms

sample1.1s

Algorithm
intervals
Results
575.0ms8000×body80valid
213.0ms8000×pre80true