Details

sample64.0ms

Algorithm

intervals

Results

33.0ms	256×	body	80	valid
14.0ms	256×	pre	80	true

simplify6.2s

Counts

1 → 1

Iterations

Iter	Nodes
8	3449
7	1366
6	799
5	457
4	220
3	107
2	50
1	23
0	9

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.6b

localize37.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
22.6b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-cbrt-cube` `add-exp-log`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`associate-/r*` `times-frac` `flip3--` `flip--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `associate-/r/` `insert-posit16` `log1p-expm1-u`
1×	`+-commutative` `clear-num` `sum-log` `fma-def` `frac-2neg` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 49

Calls

2 calls:

15.0ms	(+ (* x x) (* y y))
46.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series157.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x x) (* y y))
116.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify3.2s

Counts

55 → 55

Iterations

Iter	Nodes
3	7813
2	1558
1	338
0	97

prune516.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x x) (* y y))
0.0b	(fma x x (* y y))
0.0b	(/ 1 (/ (fma x x (* y y)) (- (* x x) (* y y))))
22.6b	(/ (fma x x (* y y)) (- (* x x) (* y y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
64×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
22×	`associate-/r*`
17×	`add-exp-log` `difference-of-squares`
11×	`add-cbrt-cube` `associate-/r/`
8×	`div-exp`
6×	`flip3--` `div-inv` `flip--` `associate-/l*` `add-log-exp`
5×	`pow1`
4×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`sub-neg` `fma-neg` `diff-log` `prod-diff` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 164

Calls

4 calls:

9.0ms	(- (* x x) (* y y))
0.0ms	(fma x x (* y y))
16.0ms	(/ 1 (/ (fma x x (* y y)) (- (* x x) (* y y))))
11.0ms	(/ (fma x x (* y y)) (- (* x x) (* y y)))

series253.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(- (* x x) (* y y))
55.0ms	(fma x x (* y y))
64.0ms	(/ 1 (/ (fma x x (* y y)) (- (* x x) (* y y))))
78.0ms	(/ (fma x x (* y y)) (- (* x x) (* y y)))

simplify4.0s

Counts

176 → 176

Iterations

Iter	Nodes
3	7883
2	1769
1	553
0	229

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
58×	`times-frac`
40×	`add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `hypot-udef` `flip3-+` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `flip-+` `flip--`

Counts

4 → 150

Calls

4 calls:

0.0ms	(hypot x y)
14.0ms	(/ (- x y) (hypot x y))
24.0ms	(/ (+ y x) (hypot x y))
61.0ms	(* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))

series440.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(hypot x y)
129.0ms	(/ (- x y) (hypot x y))
113.0ms	(/ (+ y x) (hypot x y))
149.0ms	(* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))

simplify2.2s

Counts

162 → 162

Iterations

Iter	Nodes
3	5962
2	1620
1	508
0	179

prune1.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- x y) (hypot x y))
0.0b	(/ (+ y x) (hypot x y))
0.0b	(* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))
2.3b	(log1p (* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y))))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
66×	`add-sqr-sqrt`
58×	`times-frac`
40×	`add-cube-cbrt`
20×	`add-cbrt-cube` `add-exp-log`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp`
5×	`expm1-log1p-u`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr` `associate-/l/`
2×	`clear-num` `frac-2neg`
1×	`frac-times` `log1p-udef` `flip3-+` `flip3--` `div-sub` `pow-prod-down` `associate-l/` `log1p-expm1` `associate-r/` `*-commutative` `flip-+` `flip--`

Counts

4 → 151

Calls

4 calls:

20.0ms	(/ (- x y) (hypot x y))
15.0ms	(/ (+ y x) (hypot x y))
33.0ms	(* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))
0.0ms	(log1p (* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y))))

series674.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(/ (- x y) (hypot x y))
137.0ms	(/ (+ y x) (hypot x y))
116.0ms	(* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y)))
300.0ms	(log1p (* (/ (+ y x) (hypot x y)) (/ (- x y) (hypot x y))))

simplify2.3s

Counts

163 → 163

Iterations

Iter	Nodes
3	5866
2	1653
1	559
0	202

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
2	12
1	12
0	10

end0.0ms

sample1.3s

Algorithm

intervals

Results

836.0ms	8000×	body	80	valid
284.0ms	8000×	pre	80	true