Details

Time bar (total: 18.5s)

sample37.0ms

Algorithm
intervals
Results
20.0ms256×body80valid
8.0ms256×pre80true

simplify4.9s

Counts
1 → 1
Iterations
IterNodes
done5004
71738
6803
5457
4220
3107
250
123
09

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize35.0ms

Local error

Found 2 expressions with local error:

0.0b
(fma x x (* y y))
18.1b
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

rewrite21.0ms

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))
20.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

series148.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(fma x x (* y y))
100.0ms
(/ (* (- x y) (+ y x)) (fma x x (* y y)))

simplify1.3s

Counts
49 → 49
Iterations
IterNodes
done5000
21109
1250
084

prune228.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ y x) (sqrt (fma x x (* y y))))
0.0b
(* (/ (- x y) (sqrt (fma x x (* y y)))) (/ (+ y x) (sqrt (fma x x (* y y)))))
17.5b
(sqrt (fma x x (* y y)))
17.5b
(sqrt (fma x x (* y y)))

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
99×add-sqr-sqrt
93×*-un-lft-identity
90×times-frac
55×add-cube-cbrt
54×sqrt-prod
34×associate-*l*
28×associate-*r*
18×add-cbrt-cube add-exp-log
13×distribute-lft-out
9×unswap-sqr
8×pow1
6×associate-/r* distribute-lft-out-- difference-of-squares
5×cbrt-undiv div-exp
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u associate-/l* add-log-exp
3×div-inv
2×rem-sqrt-square sqrt-pow1 pow1/2 fma-udef hypot-def associate-/l/
1×frac-times clear-num frac-2neg flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Counts
4 → 179
Calls
4 calls:
24.0ms
(/ (+ y x) (sqrt (fma x x (* y y))))
74.0ms
(* (/ (- x y) (sqrt (fma x x (* y y)))) (/ (+ y x) (sqrt (fma x x (* y y)))))
3.0ms
(sqrt (fma x x (* y y)))
3.0ms
(sqrt (fma x x (* y y)))

series400.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(/ (+ y x) (sqrt (fma x x (* y y))))
128.0ms
(* (/ (- x y) (sqrt (fma x x (* y y)))) (/ (+ y x) (sqrt (fma x x (* y y)))))
79.0ms
(sqrt (fma x x (* y y)))
69.0ms
(sqrt (fma x x (* y y)))

simplify1.8s

Counts
191 → 191
Iterations
IterNodes
done5001
21963
1524
0181

prune680.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
69×*-un-lft-identity
67×add-sqr-sqrt
58×times-frac
41×add-cube-cbrt
20×add-cbrt-cube add-exp-log
19×associate-*r*
16×associate-*l*
9×associate-/l*
7×pow1 distribute-lft-out distribute-lft-out-- difference-of-squares
6×cbrt-undiv associate-/r* div-exp
5×add-log-exp
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u div-inv unswap-sqr associate-/l/
3×log-prod log-pow
2×clear-num frac-2neg
1×frac-times exp-prod flip3-+ flip3-- exp-to-pow div-sub rem-log-exp pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+ flip--
Counts
4 → 156
Calls
4 calls:
5.0ms
(log (exp (* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))))
14.0ms
(/ (- x y) (hypot x y))
50.0ms
(* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))
19.0ms
(/ (+ y x) (hypot x y))

series523.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(log (exp (* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))))
132.0ms
(/ (- x y) (hypot x y))
142.0ms
(* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))
122.0ms
(/ (+ y x) (hypot x y))

simplify1.6s

Counts
168 → 168
Iterations
IterNodes
done5000
21702
1525
0192

prune852.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- x y))
0.7b
(cbrt (hypot x y))
0.7b
(cbrt (hypot x y))
0.7b
(cbrt (hypot x y))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
10×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt
4×expm1-log1p-u pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 log1p-expm1-u add-log-exp
2×cbrt-div
1×flip3-- flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 60
Calls
4 calls:
5.0ms
(cbrt (- x y))
1.0ms
(cbrt (hypot x y))
1.0ms
(cbrt (hypot x y))
1.0ms
(cbrt (hypot x y))

series757.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(cbrt (- x y))
202.0ms
(cbrt (hypot x y))
181.0ms
(cbrt (hypot x y))
166.0ms
(cbrt (hypot x y))

simplify2.6s

Counts
72 → 72
Iterations
IterNodes
done5000
43610
31165
2425
1197
097

prune547.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done12
112
010

end0.0ms

sample1.5s

Algorithm
intervals
Results
919.0ms8000×body80valid
398.0ms8000×pre80true