Details

sample22.0ms

Algorithm

intervals

Results

9.0ms

425×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
done	6	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* x x) (* y y))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 11

Calls

1 calls:

8.0ms

(+ (* x x) (* y y))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(+ (* x x) (* y y))

simplify1.7s

Counts

14 → 14

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	30	166
1	100	161
2	291	131
3	694	131
4	1837	131
done	5000	131

prune30.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x x) (* y y))
1.6b	(- (pow x 4) (pow y 4))
34.5b	(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
70×	`difference-of-squares`
56×	`times-frac`
48×	`unpow-prod-down`
47×	`*-un-lft-identity`
36×	`sqr-pow`
23×	`add-cube-cbrt`
14×	`associate-/l*`
12×	`distribute-lft-out--`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
4×	`flip3--` `associate-/r*` `flip--`
3×	`pow1`
2×	`sub-neg` `diff-log` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

3 → 127

Calls

3 calls:

12.0ms	(- (* x x) (* y y))
32.0ms	(- (pow x 4) (pow y 4))
93.0ms	(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

series202.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(- (* x x) (* y y))
62.0ms	(- (pow x 4) (pow y 4))
100.0ms	(/ (- (pow x 4) (pow y 4)) (- (* x x) (* y y)))

simplify886.0ms

Counts

136 → 136

Iterations

Useful iterations: done (881.0ms)

Iter	Nodes	Cost
0	221	3074
1	522	2853
2	1590	2757
done	5001	2437

prune334.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ (+ (pow x 2) (* y y)) (* (cbrt (* (- x y) (+ y x))) (cbrt (* (- x y) (+ y x)))))
5.7b	(cbrt (* (- x y) (+ y x)))
5.7b	(cbrt (* (- x y) (+ y x)))
5.7b	(cbrt (- (* x x) (* y y)))

rewrite146.0ms

Algorithm

rewrite-expression-head

Rules

162×	`cbrt-div`
144×	`frac-times`
80×	`associate-/r/`
61×	`flip3--` `flip3-+` `flip--` `flip-+`
48×	`associate-r/` `associate-l/`
9×	`add-exp-log`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`cbrt-prod`
4×	`pow1` `add-log-exp`
3×	`times-frac` `pow1/3` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-/l/`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `difference-of-squares`

Counts

4 → 151

Calls

4 calls:

89.0ms	(/ (+ (pow x 2) (* y y)) (* (cbrt (* (- x y) (+ y x))) (cbrt (* (- x y) (+ y x)))))
14.0ms	(cbrt (* (- x y) (+ y x)))
17.0ms	(cbrt (* (- x y) (+ y x)))
10.0ms	(cbrt (- (* x x) (* y y)))

series805.0ms

Counts

4 → 12

Calls

4 calls:

303.0ms	(/ (+ (pow x 2) (* y y)) (* (cbrt (* (- x y) (+ y x))) (cbrt (* (- x y) (+ y x)))))
159.0ms	(cbrt (* (- x y) (+ y x)))
181.0ms	(cbrt (* (- x y) (+ y x)))
161.0ms	(cbrt (- (* x x) (* y y)))

simplify1.2s

Counts

163 → 163

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	343	4650
1	719	4575
2	1940	4247
done	5001	4199

prune1.0s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ (- (* x x) (* y y)) (cbrt (- (* x x) (* y y))))
5.5b	(/ (+ (pow x 2) (* y y)) (* (* (cbrt (- x y)) (cbrt (+ x y))) (cbrt (* (- x y) (+ y x)))))
5.7b	(cbrt (* (- x y) (+ y x)))
5.7b	(cbrt (- (* x x) (* y y)))

rewrite249.0ms

Algorithm

rewrite-expression-head

Rules

192×	`cbrt-div`
140×	`frac-times`
82×	`associate-/r/`
60×	`flip3--` `flip--`
58×	`flip3-+` `flip-+`
46×	`associate-r/` `associate-l/`
31×	`times-frac`
25×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
15×	`add-exp-log`
14×	`difference-of-squares`
10×	`add-cbrt-cube`
8×	`associate-/r*`
7×	`associate-/l*`
5×	`pow1`
4×	`cbrt-undiv` `div-exp` `associate-/l/` `add-log-exp`
3×	`pow1/3` `prod-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`div-sub` `pow-div`

Counts

4 → 193

Calls

4 calls:

45.0ms	(/ (- (* x x) (* y y)) (cbrt (- (* x x) (* y y))))
146.0ms	(/ (+ (pow x 2) (* y y)) (* (* (cbrt (- x y)) (cbrt (+ x y))) (cbrt (* (- x y) (+ y x)))))
25.0ms	(cbrt (* (- x y) (+ y x)))
9.0ms	(cbrt (- (* x x) (* y y)))

series822.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(/ (- (* x x) (* y y)) (cbrt (- (* x x) (* y y))))
338.0ms	(/ (+ (pow x 2) (* y y)) (* (* (cbrt (- x y)) (cbrt (+ x y))) (cbrt (* (- x y) (+ y x)))))
189.0ms	(cbrt (* (- x y) (+ y x)))
152.0ms	(cbrt (- (* x x) (* y y)))

simplify1.8s

Counts

205 → 205

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	454	5996
1	1182	5855
2	3859	5519
done	5000	5494

prune1.4s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes140.0ms

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	5	7
1	6	7
done	6	7

end0.0ms

sample950.0ms

Algorithm

intervals

Results

387.0ms

14072×

body

valid