Details

sample26.0ms

Algorithm

intervals

Results

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

simplify7.2s

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
20.1b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite61.0ms

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))
51.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series125.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x x) (* y y))
94.0ms	(/ (* (- 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

prune203.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(hypot x y)
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))

rewrite118.0ms

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)
57.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
27.0ms	(/ (- x y) (hypot x y))
23.0ms	(/ (+ x y) (hypot x y))

series469.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(hypot x y)
139.0ms	(* (/ (- x y) (hypot x y)) (/ (+ x y) (hypot x y)))
142.0ms	(/ (- x y) (hypot x y))
131.0ms	(/ (+ x y) (hypot x y))

simplify1.6s

Counts

158 → 158

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	172	2247
1	478	2185
2	1650	1971
done	5000	1970

prune371.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite208.0ms

Algorithm

rewrite-expression-head

Rules

287×	`times-frac`
221×	`add-sqr-sqrt`
206×	`*-un-lft-identity`
138×	`add-cube-cbrt`
68×	`associate-l`
64×	`add-exp-log`
34×	`add-cbrt-cube`
30×	`div-exp`
29×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
16×	`associate-r`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`associate-/l*` `unswap-sqr`
8×	`flip3--` `flip--`
7×	`pow1` `distribute-lft-out`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 312

Calls

4 calls:

127.0ms	(* (/ 1 (/ (hypot x y) (- x y))) (/ (+ x y) (hypot x y)))
17.0ms	(/ (hypot x y) (- x y))
18.0ms	(/ 1 (/ (hypot x y) (- x y)))
18.0ms	(/ (+ x y) (hypot x y))

series526.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (/ 1 (/ (hypot x y) (- x y))) (/ (+ x y) (hypot x y)))
149.0ms	(/ (hypot x y) (- x y))
123.0ms	(/ 1 (/ (hypot x y) (- x y)))
135.0ms	(/ (+ x y) (hypot x y))

simplify2.5s

Counts

324 → 324

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	359	5827
1	978	5150
2	2823	4603
done	5001	4540

prune968.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (hypot x y) (- x y))
0.0b	(/ 1 (/ (hypot x y) (- x y)))
0.0b	(/ (+ x y) (hypot x y))
0.0b	(log (exp (/ (+ x y) (hypot x y))))

rewrite141.0ms

Algorithm

rewrite-expression-head

Rules

162×	`times-frac`
136×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
29×	`associate-/r*`
19×	`add-exp-log`
17×	`log-pow`
16×	`exp-prod` `distribute-lft-out--` `difference-of-squares`
13×	`add-cbrt-cube`
11×	`associate-/r/`
10×	`associate-/l*`
9×	`div-exp`
8×	`div-inv`
7×	`distribute-lft-out`
6×	`pow1`
5×	`cbrt-undiv` `flip3--` `flip--`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`log-prod` `frac-2neg` `clear-num`
2×	`rec-exp` `1-exp` `associate-/l/`
1×	`pow-flip` `flip3-+` `rem-log-exp` `flip-+` `inv-pow`

Counts

4 → 214

Calls

4 calls:

21.0ms	(/ (hypot x y) (- x y))
30.0ms	(/ 1 (/ (hypot x y) (- x y)))
30.0ms	(/ (+ x y) (hypot x y))
46.0ms	(log (exp (/ (+ x y) (hypot x y))))

series478.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(/ (hypot x y) (- x y))
110.0ms	(/ 1 (/ (hypot x y) (- x y)))
125.0ms	(/ (+ x y) (hypot x y))
124.0ms	(log (exp (/ (+ x y) (hypot x y))))

simplify2.6s

Counts

226 → 226

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	292	3355
1	578	2937
2	1283	2674
3	3178	2621
done	5000	2621

prune596.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes38.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	12	19
1	16	19
done	16	19

end0.0ms

sample881.0ms

Algorithm

intervals

Results

471.0ms	8000×	body	80	valid
167.0ms	8000×	pre	80	true