Details

sample73.0ms

Algorithm

intervals

Results

34.0ms	256×	body	80	valid
21.0ms	256×	pre	80	true

simplify6.5s

Counts

1 → 1

Iterations

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

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma y y (* x x))
18.9b	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

rewrite38.0ms

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 y y (* x x))
36.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(fma y y (* x x))
111.0ms	(/ (* (+ x y) (- x y)) (fma y y (* x x)))

simplify2.1s

Counts

49 → 49

Iterations

Iter	Nodes
3	5212
2	1001
1	254
0	81

prune393.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize20.0ms

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))))
18.9b	(/ (fma y y (* x x)) (* (+ x y) (- x y)))

rewrite41.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `cbrt-unprod`
1×	`fma-udef` `pow-flip` `inv-pow`

Counts

3 → 134

Calls

3 calls:

0.0ms	(fma y y (* x x))
23.0ms	(/ 1 (/ (fma y y (* x x)) (* (+ x y) (- x y))))
16.0ms	(/ (fma y y (* x x)) (* (+ x y) (- x y)))

series290.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(fma y y (* x x))
116.0ms	(/ 1 (/ (fma y y (* x x)) (* (+ x y) (- x y))))
117.0ms	(/ (fma y y (* x x)) (* (+ x y) (- x y)))

simplify10.8s

Counts

143 → 143

Iterations

Iter	Nodes
3	8821
2	1744
1	554
0	215

prune1.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 139

Calls

3 calls:

21.0ms	(/ (- x y) (hypot y x))
21.0ms	(/ (+ x y) (hypot y x))
54.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))

series367.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (- x y) (hypot y x))
117.0ms	(/ (+ x y) (hypot y x))
137.0ms	(* (/ (+ x y) (hypot y x)) (/ (- x y) (hypot y x)))

simplify4.5s

Counts

148 → 148

Iterations

Iter	Nodes
3	5634
2	1474
1	496
0	170

prune1.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 118

Calls

3 calls:

34.0ms	(/ (* (+ x y) (/ (- x y) (hypot y x))) (hypot y x))
29.0ms	(/ (- x y) (hypot y x))
37.0ms	(* (+ x y) (/ (- x y) (hypot y x)))

series383.0ms

Counts

3 → 9

Calls

3 calls:

139.0ms	(/ (* (+ x y) (/ (- x y) (hypot y x))) (hypot y x))
99.0ms	(/ (- x y) (hypot y x))
145.0ms	(* (+ x y) (/ (- x y) (hypot y x)))

simplify7.7s

Counts

127 → 127

Iterations

Iter	Nodes
3	8140
2	1619
1	447
0	164

prune934.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes65.0ms

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

768.0ms	8000×	body	80	valid
368.0ms	8000×	pre	80	true