Details

sample15.0ms

Algorithm

intervals

Results

6.0ms

322×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	17	7
3	26	7
4	35	7
5	41	7
6	50	7
7	68	7
8	98	7
9	125	7
10	154	7
11	168	7
12	186	7
13	199	7
14	215	7
15	250	7
16	313	7
17	400	7
18	484	7
19	587	7
20	656	7
21	660	7
done	660	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ x (* (- y x) z))
10.0ms	(* (- y x) z)

series60.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ x (* (- y x) z))
28.0ms	(* (- y x) z)

simplify1.4s

Counts

39 → 39

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	68	357
1	164	337
2	484	303
3	1975	303
done	5000	303

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y x) z)
0.0b	(sqrt (+ x (* (- y x) z)))
0.0b	(sqrt (+ x (* (- y x) z)))
0.2b	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
24×	`sqrt-prod`
23×	`pow1`
18×	`*-un-lft-identity`
16×	`add-cube-cbrt` `sqrt-div`
11×	`associate-l`
10×	`sqrt-pow1` `pow1/2`
9×	`associate-r`
8×	`add-exp-log` `flip3-+` `swap-sqr` `add-cbrt-cube` `flip-+`
5×	`pow-prod-up` `unswap-sqr`
4×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
3×	`pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `prod-exp` `-commutative` `cbrt-unprod`
1×	`pow2` `flip3--` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 109

Calls

4 calls:

10.0ms	(* (- y x) z)
3.0ms	(sqrt (+ x (* (- y x) z)))
3.0ms	(sqrt (+ x (* (- y x) z)))
16.0ms	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

series493.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (- y x) z)
218.0ms	(sqrt (+ x (* (- y x) z)))
212.0ms	(sqrt (+ x (* (- y x) z)))
33.0ms	(* (sqrt (+ x (* (- y x) z))) (sqrt (+ x (* (- y x) z))))

simplify1.7s

Counts

121 → 121

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	140	2115
1	291	1504
2	882	1386
3	3453	1346
done	5001	1340

prune207.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

1.3b	(- (pow y 3) (pow x 3))
1.3b	(+ (* x x) (* y x))
5.1b	(* (- (pow y 3) (pow x 3)) z)
33.0b	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* y y) (+ (* x x) (* y x))))

rewrite125.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
32×	`difference-of-squares`
28×	`*-un-lft-identity`
25×	`associate-l`
24×	`unpow-prod-down` `cube-prod`
16×	`sqr-pow`
11×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`associate-*l/`
3×	`flip3--` `times-frac` `associate-r` `associate-/r*` `flip--`
2×	`difference-cubes` `cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

17.0ms	(- (pow y 3) (pow x 3))
3.0ms	(+ (* x x) (* y x))
61.0ms	(* (- (pow y 3) (pow x 3)) z)
39.0ms	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* y y) (+ (* x x) (* y x))))

series216.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(- (pow y 3) (pow x 3))
31.0ms	(+ (* x x) (* y x))
59.0ms	(* (- (pow y 3) (pow x 3)) z)
76.0ms	(/ (* (- (pow y 3) (pow x 3)) z) (+ (* y y) (+ (* x x) (* y x))))

simplify743.0ms

Counts

125 → 125

Iterations

Useful iterations: 2 (224.0ms)

Iter	Nodes	Cost
0	169	1985
1	448	1759
2	1805	1579
done	5000	1579

prune304.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes67.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample394.0ms

Algorithm

intervals

Results

193.0ms

10042×

body

valid