Details

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify4.4s

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 22.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
22.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite41.0ms

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

series91.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(+ (* x x) (* y y))
64.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify798.0ms

Counts

53 → 53

Iterations

Useful iterations: done (796.0ms)

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

prune131.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 136

Calls

3 calls:

51.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
17.0ms	(/ (- x y) (hypot x y))
18.0ms	(/ (+ x y) (hypot x y))

series269.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
89.0ms	(/ (- x y) (hypot x y))
89.0ms	(/ (+ x y) (hypot x y))

simplify1.0s

Counts

145 → 145

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	167	2187
1	471	2127
2	1637	1919
done	5001	1918

prune296.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 78

Calls

2 calls:

19.0ms	(/ (+ x y) (hypot x y))
45.0ms	(* (- x y) (/ (+ x y) (hypot x y)))

series181.0ms

Counts

2 → 6

Calls

2 calls:

90.0ms	(/ (+ x y) (hypot x y))
90.0ms	(* (- x y) (/ (+ x y) (hypot x y)))

simplify2.4s

Counts

84 → 84

Iterations

Useful iterations: 2 (133.0ms)

Iter	Nodes	Cost
0	117	1099
1	298	1055
2	1187	961
3	4800	961
done	5000	961

prune168.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (/ (hypot x y) (+ x y)))
0.0b	(* (- x y) (/ 1 (/ (hypot x y) (+ x y))))
0.0b	(/ (hypot x y) (+ x y))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

210×	`times-frac`
161×	`*-un-lft-identity`
123×	`add-sqr-sqrt`
107×	`add-cube-cbrt`
59×	`associate-r`
35×	`add-exp-log`
25×	`distribute-lft-out`
22×	`associate-/r*`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
8×	`flip3-+` `flip-+`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1` `associate-/l*`
5×	`associate-l` `unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `flip3--` `frac-2neg` `associate-*l/` `clear-num` `flip--`
1×	`pow-flip` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

3 → 229

Calls

3 calls:

18.0ms	(/ 1 (/ (hypot x y) (+ x y)))
64.0ms	(* (- x y) (/ 1 (/ (hypot x y) (+ x y))))
11.0ms	(/ (hypot x y) (+ x y))

series265.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ 1 (/ (hypot x y) (+ x y)))
86.0ms	(* (- x y) (/ 1 (/ (hypot x y) (+ x y))))
89.0ms	(/ (hypot x y) (+ x y))

simplify1.1s

Counts

238 → 238

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	273	3897
1	635	3248
2	1725	2913
done	5000	2887

prune377.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	17
1	14	17
done	14	17

end0.0ms

sample497.0ms

Algorithm

intervals

Results

217.0ms	8000×	body	80	valid
97.0ms	8000×	pre	80	true