Details

sample30.0ms

Algorithm

intervals

Results

13.0ms

420×

body

valid

simplify73.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	23	7
1	59	6
2	111	6
3	204	6
4	369	6
5	839	6
6	2168	6
7	5001	6
done	5001	6

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.5b

localize13.0ms

Local error

Found 2 expressions with local error:

4.4b	(- (+ (* x x) (* y y)) (* z z))
26.5b	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 51

Calls

2 calls:

47.0ms	(- (+ (* x x) (* y y)) (* z z))
82.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

series139.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(- (+ (* x x) (* y y)) (* z z))
92.0ms	(/ (- (+ (* x x) (* y y)) (* z z)) (* y 2.0))

simplify43.0ms

Counts

57 → 57

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	299	503
1	1242	422
2	5001	407
done	5001	407

prune166.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 10.3b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.1b	(/ (pow x 2) y)
9.9b	(/ (pow z 2) y)

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
148×	`times-frac`
138×	`add-sqr-sqrt`
126×	`add-cube-cbrt`
112×	`prod-diff`
61×	`unpow-prod-down`
30×	`distribute-lft-out`
21×	`unpow2` `sqr-pow`
16×	`associate-/l*`
13×	`add-exp-log`
8×	`add-log-exp`
7×	`add-cbrt-cube`
6×	`div-exp` `associate-/r*` `div-inv`
5×	`difference-of-squares`
4×	`fma-neg`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `diff-log` `pow-exp` `clear-num` `frac-sub` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `flip3-+` `associate--l+` `sum-log` `flip--` `flip-+`

Counts

3 → 243

Calls

3 calls:

205.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
9.0ms	(/ (pow x 2) y)
9.0ms	(/ (pow z 2) y)

series96.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- (+ y (/ (pow x 2) y)) (/ (pow z 2) y))
21.0ms	(/ (pow x 2) y)
22.0ms	(/ (pow z 2) y)

simplify107.0ms

Counts

252 → 252

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	957	4380
1	3231	3066
2	5002	2874
done	5002	2874

prune434.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 1.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
0.1b	(/ x (/ y x))
9.9b	(/ (pow z 2) y)

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

214×	`*-un-lft-identity`
199×	`times-frac`
163×	`add-sqr-sqrt`
151×	`add-cube-cbrt`
112×	`prod-diff`
49×	`unpow-prod-down`
30×	`distribute-lft-out`
17×	`unpow2` `sqr-pow`
16×	`associate-/r*`
13×	`add-exp-log`
11×	`associate-/l*`
10×	`add-cbrt-cube` `div-inv`
8×	`add-log-exp`
6×	`div-exp`
5×	`difference-of-squares`
4×	`cbrt-undiv` `fma-neg`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
2×	`frac-2neg` `diff-log` `clear-num` `frac-sub` `distribute-lft-out--`
1×	`pow-to-exp` `sub-neg` `flip3--` `flip3-+` `pow-exp` `associate--l+` `sum-log` `associate-/r/` `flip--` `flip-+`

Counts

3 → 264

Calls

3 calls:

264.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
12.0ms	(/ x (/ y x))
9.0ms	(/ (pow z 2) y)

series98.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(- (+ y (/ x (/ y x))) (/ (pow z 2) y))
26.0ms	(/ x (/ y x))
22.0ms	(/ (pow z 2) y)

simplify140.0ms

Counts

273 → 273

Iterations

Useful iterations: 2 (107.0ms)

Iter	Nodes	Cost
0	1142	4591
1	4554	3151
2	5001	3146
done	5001	3146

prune514.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ y (/ x (/ y x))) (* (fabs z) (/ (fabs z) y)))
0.1b	(/ x (/ y x))
0.2b	(* (fabs z) (/ (fabs z) y))

rewrite283.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
60×	`add-sqr-sqrt`
59×	`*-un-lft-identity`
55×	`add-cube-cbrt`
13×	`add-exp-log` `associate-r` `associate-/r*` `add-cbrt-cube`
8×	`add-log-exp`
6×	`div-inv`
5×	`pow1`
4×	`cbrt-undiv` `fma-neg` `div-exp` `prod-diff`
3×	`expm1-log1p-u` `associate-r/` `associate-l` `log1p-expm1-u` `associate-/l`
2×	`diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`sub-neg` `flip3--` `frac-2neg` `flip3-+` `pow-prod-down` `associate--l+` `clear-num` `sum-log` `associate-/r/` `*-commutative` `flip--` `flip-+`

Counts

3 → 132

Calls

3 calls:

252.0ms	(- (+ y (/ x (/ y x))) (* (fabs z) (/ (fabs z) y)))
9.0ms	(/ x (/ y x))
14.0ms	(* (fabs z) (/ (fabs z) y))

series110.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(- (+ y (/ x (/ y x))) (* (fabs z) (/ (fabs z) y)))
24.0ms	(/ x (/ y x))
27.0ms	(* (fabs z) (/ (fabs z) y))

simplify96.0ms

Counts

141 → 141

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	622	1033
1	3053	919
2	5002	901
done	5002	901

prune402.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	9
1	16	9
done	16	9

end0.0ms

sample847.0ms

Algorithm

intervals

Results

451.0ms

13702×

body

valid