Details

Time bar (total: 15.2s)

sample34.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
7.0ms256×pre80true

simplify2.3s

Counts
1 → 1
Iterations
IterNodes
done2065
82065
71738
6803
5457
4220
3107
250
123
09

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.8b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* y y))
21.8b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite33.0ms

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/ insert-posit16 log1p-expm1-u add-log-exp
1×clear-num frac-2neg prod-exp cbrt-unprod fma-udef div-inv associate-/l*
Counts
2 → 43
Calls
2 calls:
0.0ms
(fma x x (* y y))
32.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series161.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(fma x x (* y y))
111.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.3s

Counts
49 → 49
Iterations
IterNodes
done2001
32001
21109
1250
084

prune296.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize51.0ms

Local error

Found 4 expressions with local error:

0.0b
(fma x x (* y y))
0.0b
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
0.0b
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
21.8b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
14×exp-prod
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac add-cbrt-cube add-exp-log
8×log-pow associate-/l/
5×pow1 add-log-exp
4×expm1-log1p-u frac-times insert-posit16 log1p-expm1-u
3×log-prod associate-/r* flip3-+ flip3-- flip-+ div-inv flip--
2×cbrt-undiv div-exp associate-*l/ associate-*r/
1×clear-num frac-2neg rem-log-exp prod-exp cbrt-unprod fma-udef associate-/l* rem-exp-log
Counts
4 → 83
Calls
4 calls:
0.0ms
(fma x x (* y y))
5.0ms
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
7.0ms
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
17.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(fma x x (* y y))
142.0ms
(exp (/ (* (- x y) (+ y x)) (fma x x (* y y))))
109.0ms
(log (exp (/ (* (- x y) (+ y x)) (fma x x (* y y)))))
93.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.2s

Counts
95 → 95
Iterations
IterNodes
done2000
32000
21203
1306
0124

prune592.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.4b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ y x) (sqrt (fma x x (* y y))))
0.0b
(/ (- x y) (hypot x y))
0.0b
(* (/ (+ y x) (sqrt (fma x x (* y y)))) (/ (- x y) (hypot x y)))
21.4b
(sqrt (fma x x (* y y)))

rewrite108.0ms

Algorithm
rewrite-expression-head
Rules
96×*-un-lft-identity
90×add-sqr-sqrt
85×times-frac
56×add-cube-cbrt
32×sqrt-prod
28×associate-*l*
20×add-cbrt-cube add-exp-log
19×associate-*r*
13×distribute-lft-out
9×associate-/r* associate-/l*
7×pow1 distribute-lft-out-- difference-of-squares
6×cbrt-undiv div-exp unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv add-log-exp associate-/l/
2×clear-num frac-2neg
1×frac-times rem-sqrt-square sqrt-pow1 flip3-+ flip3-- pow1/2 div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ fma-udef hypot-def flip--
Counts
4 → 185
Calls
4 calls:
28.0ms
(/ (+ y x) (sqrt (fma x x (* y y))))
24.0ms
(/ (- x y) (hypot x y))
47.0ms
(* (/ (+ y x) (sqrt (fma x x (* y y)))) (/ (- x y) (hypot x y)))
1.0ms
(sqrt (fma x x (* y y)))

series572.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(/ (+ y x) (sqrt (fma x x (* y y))))
138.0ms
(/ (- x y) (hypot x y))
217.0ms
(* (/ (+ y x) (sqrt (fma x x (* y y)))) (/ (- x y) (hypot x y)))
79.0ms
(sqrt (fma x x (* y y)))

simplify1.6s

Counts
197 → 197
Iterations
IterNodes
done2006
32006
21929
1569
0212

prune961.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

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

rewrite202.0ms

Algorithm
rewrite-expression-head
Rules
72×*-un-lft-identity
61×add-sqr-sqrt
51×times-frac
48×associate-*r*
40×add-cube-cbrt
21×add-cbrt-cube add-exp-log
15×associate-*l*
13×distribute-lft-out
10×pow1
6×frac-times flip3-- associate-*l/ prod-exp cbrt-unprod flip-- unswap-sqr
4×expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
3×associate-/r* pow-prod-down associate-*r/ *-commutative distribute-lft-out-- difference-of-squares
2×associate-/l/
1×clear-num frac-2neg flip3-+ flip-+
Counts
4 → 168
Calls
4 calls:
30.0ms
(/ (+ y x) (hypot x y))
54.0ms
(* (- x y) (/ (+ y x) (hypot x y)))
60.0ms
(* (- x y) (/ (+ y x) (hypot x y)))
53.0ms
(* (- x y) (/ (+ y x) (hypot x y)))

series650.0ms

Counts
4 → 12
Calls
4 calls:
168.0ms
(/ (+ y x) (hypot x y))
150.0ms
(* (- x y) (/ (+ y x) (hypot x y)))
166.0ms
(* (- x y) (/ (+ y x) (hypot x y)))
166.0ms
(* (- x y) (/ (+ y x) (hypot x y)))

simplify1.5s

Counts
180 → 180
Iterations
IterNodes
done2019
32019
21142
1323
0122

prune1.0s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes86.0ms

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
done14
114
011

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.4s8000×body80valid
415.0ms8000×pre80true