Details

sample27.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify6.9s

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	9	15
1	23	14
2	52	14
3	113	14
4	229	14
5	461	14
6	822	14
7	1308	14
8	3296	14
done	5000	14

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.5b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
16.6b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 47

Calls

2 calls:

8.0ms	(+ (* x x) (* y y))
34.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series115.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ (* x x) (* y y))
82.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.2s

Counts

53 → 53

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	95	874
1	317	764
2	1517	635
done	5000	627

prune170.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

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

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 146

Calls

4 calls:

0.0ms	(hypot x y)
19.0ms	(/ (+ x y) (hypot x y))
55.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
18.0ms	(/ (- x y) (hypot x y))

series443.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(hypot x y)
135.0ms	(/ (+ x y) (hypot x y))
123.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
114.0ms	(/ (- x y) (hypot x y))

simplify1.6s

Counts

158 → 158

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	172	2247
1	479	2185
2	1642	1971
done	5001	1970

prune505.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite238.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 109

Calls

4 calls:

0.0ms	(hypot x y)
1.0ms	(hypot x y)
38.0ms	(/ (+ x y) (hypot x y))
190.0ms	(* (- (/ x (hypot x y)) (/ y (hypot x y))) (/ (+ x y) (hypot x y)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(hypot x y)
73.0ms	(hypot x y)
124.0ms	(/ (+ x y) (hypot x y))
248.0ms	(* (- (/ x (hypot x y)) (/ y (hypot x y))) (/ (+ x y) (hypot x y)))

simplify1.6s

Counts

121 → 121

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	152	1880
1	402	1830
2	1471	1662
done	5000	1574

prune418.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (hypot x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod`
14×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`cbrt-div`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 61

Calls

4 calls:

1.0ms	(cbrt (hypot x y))
4.0ms	(cbrt (+ x y))
8.0ms	(cbrt (+ x y))
16.0ms	(cbrt (+ x y))

series684.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (hypot x y))
183.0ms	(cbrt (+ x y))
186.0ms	(cbrt (+ x y))
178.0ms	(cbrt (+ x y))

simplify2.2s

Counts

73 → 73

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	78	631
1	160	594
2	331	562
3	740	547
4	2043	547
done	5000	541

prune315.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	11	19
done	11	19

end0.0ms

sample1.4s

Algorithm

intervals

Results

589.0ms	8000×	pre	80	true
528.0ms	8000×	body	80	valid