Details

Time bar (total: 35.0s)

sample50.0ms

Algorithm
intervals
Results
27.0ms456×body80valid

simplify182.0ms

Counts
1 → 1
Iterations
IterNodes
done69
569
465
350
229
114
07

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize43.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* (* 3 y) y))
0.2b
(* (* 3 y) y)

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
3×add-sqr-sqrt *-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×associate-*l* *-commutative fma-udef
Counts
2 → 32
Calls
2 calls:
1.0ms
(fma x x (* (* 3 y) y))
44.0ms
(* (* 3 y) y)

series111.0ms

Counts
2 → 6
Calls
2 calls:
59.0ms
(fma x x (* (* 3 y) y))
52.0ms
(* (* 3 y) y)

simplify4.5s

Counts
38 → 38
Iterations
IterNodes
done5000
31413
2363
1125
054

prune452.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize86.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* y y))
0.0b
(+ (* x x) (* y y))
0.2b
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

rewrite560.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
7×fma-def
5×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
3×expm1-log1p-u pow1 +-commutative flip3-+ add-cbrt-cube add-exp-log flip-+ insert-posit16 log1p-expm1-u
2×associate-+l+
Counts
3 → 54
Calls
3 calls:
110.0ms
(+ (+ (* x x) (* y y)) (* y y))
39.0ms
(+ (* x x) (* y y))
409.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

series196.0ms

Counts
3 → 9
Calls
3 calls:
75.0ms
(+ (+ (* x x) (* y y)) (* y y))
43.0ms
(+ (* x x) (* y y))
78.0ms
(+ (+ (+ (* x x) (* y y)) (* y y)) (* y y))

simplify9.7s

Counts
63 → 63
Iterations
IterNodes
done5000
34984
2863
1252
079

prune822.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.2b
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
6.2b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
6.2b
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

rewrite218.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
6×pow1 *-un-lft-identity add-cube-cbrt sqrt-prod add-log-exp
4×expm1-log1p-u add-cbrt-cube sqrt-div add-exp-log insert-posit16 log1p-expm1-u
3×flip3-+ flip-+
2×rem-sqrt-square sqrt-pow1 pow1/2 hypot-def
1×+-commutative sum-log fma-def fma-udef
Counts
4 → 64
Calls
4 calls:
32.0ms
(+ (* x x) (* y y))
1.0ms
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
96.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
87.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

series514.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(+ (* x x) (* y y))
262.0ms
(fma (sqrt (+ (+ (* x x) (* y y)) (* y y))) (sqrt (+ (+ (* x x) (* y y)) (* y y))) (* y y))
99.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))
81.0ms
(sqrt (+ (+ (* x x) (* y y)) (* y y)))

simplify5.4s

Counts
76 → 76
Iterations
IterNodes
done5000
32779
2615
1202
084

prune1.1s

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize37.0ms

Local error

Found 1 expressions with local error:

0.2b
(fma 3 (* y y) (* x x))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
1×add-sqr-sqrt expm1-log1p-u pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt fma-udef insert-posit16 log1p-expm1-u add-log-exp
Counts
1 → 11
Calls
1 calls:
3.0ms
(fma 3 (* y y) (* x x))

series85.0ms

Counts
1 → 3
Calls
1 calls:
85.0ms
(fma 3 (* y y) (* x x))

simplify7.8s

Counts
14 → 14
Iterations
IterNodes
done5000
53395
4739
3204
280
139
022

prune153.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes731.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done6
06

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.5s14318×body80valid