Details

sample40.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
8.0ms	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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y y (* x x))
19.3b	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

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/` `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 y y (* x x))
33.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

series154.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(fma y y (* x x))
100.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

simplify1.7s

Counts

47 → 47

Iterations

Iter	Nodes
3	5165
2	1000
1	252
0	79

prune377.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.8b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma y y (* x x))
0.0b	(/ 1 (/ (fma y y (* x x)) (* (+ x y) (- x y))))
19.3b	(/ (fma y y (* x x)) (* (+ x y) (- x y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
41×	`associate-/r/`
29×	`add-sqr-sqrt` `*-un-lft-identity` `add-exp-log` `add-cube-cbrt`
20×	`frac-times`
17×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`flip3-+` `flip3--` `flip-+` `flip--`
14×	`div-exp`
10×	`associate-l/` `associate-r/`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`pow1` `prod-exp`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `cbrt-unprod`
1×	`fma-udef` `pow-flip` `inv-pow`

Counts

3 → 131

Calls

3 calls:

0.0ms	(fma y y (* x x))
22.0ms	(/ 1 (/ (fma y y (* x x)) (* (+ x y) (- x y))))
20.0ms	(/ (fma y y (* x x)) (* (+ x y) (- x y)))

series242.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma y y (* x x))
107.0ms	(/ 1 (/ (fma y y (* x x)) (* (+ x y) (- x y))))
96.0ms	(/ (fma y y (* x x)) (* (+ x y) (- x y)))

simplify9.6s

Counts

140 → 140

Iterations

Iter	Nodes
3	8511
2	1720
1	543
0	212

prune1.2s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot y x)
0.0b	(/ (- x y) (hypot y x))
0.0b	(/ (+ x y) (hypot y x))
0.1b	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))

rewrite79.0ms

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` `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 → 146

Calls

4 calls:

0.0ms	(hypot y x)
18.0ms	(/ (- x y) (hypot y x))
30.0ms	(/ (+ x y) (hypot y x))
28.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(hypot y x)
139.0ms	(/ (- x y) (hypot y x))
133.0ms	(/ (+ x y) (hypot y x))
124.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))

simplify5.4s

Counts

158 → 158

Iterations

Iter	Nodes
3	6848
2	1660
1	500
0	172

prune1.5s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (+ y x) (hypot y x)) (hypot y x))
0.2b	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))
0.2b	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))
0.2b	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

357×	`times-frac`
299×	`*-un-lft-identity`
248×	`add-sqr-sqrt`
215×	`add-cube-cbrt`
156×	`associate-l`
54×	`prod-diff`
39×	`distribute-lft-out`
36×	`add-cbrt-cube` `add-exp-log`
33×	`distribute-rgt-in` `distribute-lft-in`
17×	`div-inv`
16×	`associate-/l*`
15×	`associate-r`
12×	`cbrt-undiv` `div-exp`
10×	`pow1`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `pow-prod-down` `associate-l/` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 396

Calls

4 calls:

33.0ms	(/ (/ (+ y x) (hypot y x)) (hypot y x))
64.0ms	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))
32.0ms	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))
38.0ms	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))

series467.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(/ (/ (+ y x) (hypot y x)) (hypot y x))
112.0ms	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))
136.0ms	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))
125.0ms	(* (/ (/ (+ y x) (hypot y x)) (hypot y x)) (- x y))

simplify860.0ms

Counts

408 → 408

Iterations

Iter	Nodes
2	2677
1	785
0	285

prune5.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes109.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	14
1	14
0	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.0s	8000×	body	80	valid
324.0ms	8000×	pre	80	true