Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	4574
6	1116
5	522
4	251
3	115
2	52
1	23
0	9

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.1b

localize26.0ms

Local error

Found 1 expressions with local error:

20.8b

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

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 31

Calls

1 calls:

43.0ms

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

series128.0ms

Counts

1 → 3

Calls

1 calls:

127.0ms

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

simplify1.0s

Counts

34 → 34

Iterations

Iter	Nodes
done	5002
2	1638
1	235
0	75

prune163.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite108.0ms

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-l`
16×	`associate-r`
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 x y)
18.0ms	(/ (- x y) (hypot x y))
28.0ms	(/ (+ x y) (hypot x y))
55.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(hypot x y)
96.0ms	(/ (- x y) (hypot x y))
102.0ms	(/ (+ x y) (hypot x y))
111.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))

simplify2.0s

Counts

158 → 158

Iterations

Iter	Nodes
done	5002
2	2833
1	508
0	172

prune667.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize21.0ms

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	(pow (exp (/ (+ y x) (hypot x y))) (/ (- x y) (hypot x y)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
55×	`add-sqr-sqrt`
54×	`times-frac`
41×	`add-cube-cbrt`
19×	`pow-unpow`
17×	`pow-pow`
16×	`exp-prod`
9×	`associate-/l*`
8×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`associate-/r*`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
3×	`unpow-prod-down`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-sub` `div-exp`
1×	`pow-to-exp` `hypot-udef` `flip3-+` `flip3--` `pow-exp` `flip-+` `flip--` `pow-sub` `sqr-pow`

Counts

4 → 137

Calls

4 calls:

0.0ms	(hypot x y)
14.0ms	(/ (- x y) (hypot x y))
19.0ms	(/ (+ y x) (hypot x y))
26.0ms	(pow (exp (/ (+ y x) (hypot x y))) (/ (- x y) (hypot x y)))

series568.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(hypot x y)
126.0ms	(/ (- x y) (hypot x y))
130.0ms	(/ (+ y x) (hypot x y))
252.0ms	(pow (exp (/ (+ y x) (hypot x y))) (/ (- x y) (hypot x y)))

simplify1.6s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	2128
1	489
0	179

prune853.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

0.0ms	(hypot x y)
33.0ms	(/ (* (- x y) (/ (+ x y) (hypot x y))) (hypot x y))
14.0ms	(/ (+ x y) (hypot x y))
33.0ms	(* (- x y) (/ (+ x y) (hypot x y)))

series461.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(hypot x y)
156.0ms	(/ (* (- x y) (/ (+ x y) (hypot x y))) (hypot x y))
119.0ms	(/ (+ x y) (hypot x y))
130.0ms	(* (- x y) (/ (+ x y) (hypot x y)))

simplify1.6s

Counts

130 → 130

Iterations

Iter	Nodes
done	5001
2	3025
1	444
0	153

prune683.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes132.0ms

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
done	16
1	16
0	12

end0.0ms

sample1.0s

Algorithm

intervals

Results

569.0ms	8000×	body	80	valid
196.0ms	8000×	pre	80	true