Details

sample47.0ms

Algorithm

intervals

Results

16.0ms	256×	body	80	valid
11.0ms	256×	pre	80	true

simplify4.6s

Counts

1 → 1

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	9	15
1	23	14
2	52	14
3	115	14
4	249	14
5	516	14
6	1111	14
7	4552	14
done	5000	14

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.0b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
17.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite68.0ms

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:

18.0ms	(+ (* x x) (* y y))
40.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (* x x) (* y y))
92.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify2.3s

Counts

53 → 53

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	95	874
1	352	767
2	2743	639
done	5000	635

prune226.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

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))

rewrite108.0ms

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:

19.0ms	(/ (+ x y) (hypot x y))
62.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
18.0ms	(/ (- x y) (hypot x y))

series391.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(/ (+ x y) (hypot x y))
119.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
140.0ms	(/ (- x y) (hypot x y))

simplify2.5s

Counts

145 → 145

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	167	2187
1	502	2127
2	2839	1929
done	5000	1919

prune466.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3))
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))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
67×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-l`
16×	`associate-r`
9×	`associate-/l*`
8×	`cbrt-prod`
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`
3×	`cube-div` `cbrt-div`
2×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num`
1×	`cube-mult` `unpow-prod-down` `flip3--` `flip3-+` `pow1/3` `unpow3` `div-sub` `cube-prod` `pow-prod-down` `*-commutative` `flip--` `rem-cbrt-cube` `flip-+` `sqr-pow`

Counts

4 → 158

Calls

4 calls:

3.0ms	(cbrt (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3))
23.0ms	(/ (+ x y) (hypot x y))
67.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
23.0ms	(/ (- x y) (hypot x y))

series527.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(cbrt (pow (* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y))) 3))
123.0ms	(/ (+ x y) (hypot x y))
147.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
119.0ms	(/ (- x y) (hypot x y))

simplify2.7s

Counts

170 → 170

Iterations

Useful iterations: 2 (810.0ms)

Iter	Nodes	Cost
0	204	2772
1	623	2454
2	4212	2388
done	5002	2388

prune492.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 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))
0.0b	(/ (- x y) (hypot x y))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 181

Calls

4 calls:

52.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
23.0ms	(/ (- x y) (hypot x y))
20.0ms	(/ (- x y) (hypot x y))
18.0ms	(/ (- x y) (hypot x y))

series469.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
114.0ms	(/ (- x y) (hypot x y))
133.0ms	(/ (- x y) (hypot x y))
105.0ms	(/ (- x y) (hypot x y))

simplify1.6s

Counts

193 → 193

Iterations

Useful iterations: 2 (360.0ms)

Iter	Nodes	Cost
0	147	2787
1	461	2709
2	2468	2473
done	5001	2473

prune757.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	18
1	13	18
done	13	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

579.0ms	8000×	pre	80	true
408.0ms	8000×	body	80	valid