Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

333×

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-r`
4×	`pow1` `add-exp-log` `distribute-rgt-in` `add-cube-cbrt` `sub-neg` `associate-+r+` `distribute-lft-in` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`associate-*r/`
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 → 41

Calls

2 calls:

10.0ms	(* y (- z x))
5.0ms	(+ x (* y (- z x)))

series78.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(* y (- z x))
42.0ms	(+ x (* y (- z x)))

simplify756.0ms

Counts

47 → 47

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	73	409
1	171	381
2	472	351
3	1668	351
done	5000	351

prune80.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `distribute-rgt-neg-out` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 26

Calls

2 calls:

3.0ms	(+ (* z y) x)
14.0ms	(+ (+ (* z y) x) (* y (- x)))

series46.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* z y) x)
24.0ms	(+ (+ (* z y) x) (* y (- x)))

simplify1.0s

Counts

32 → 32

Iterations

Useful iterations: 3 (278.0ms)

Iter	Nodes	Cost
0	51	369
1	164	335
2	545	314
3	2058	273
done	5001	273

prune64.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- z x)) (cbrt (- z x)))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))
0.6b	(cbrt (- z x))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

20.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))
2.0ms	(cbrt (- z x))

series580.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(* (cbrt (- z x)) (cbrt (- z x)))
150.0ms	(cbrt (- z x))
149.0ms	(cbrt (- z x))
156.0ms	(cbrt (- z x))

simplify2.2s

Counts

113 → 113

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	131	1384
1	262	1281
2	631	1223
3	1586	1128
4	4525	1080
done	5000	1080

prune280.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.3b	(- (* z z) (* x x))
10.1b	(* y (- (* z z) (* x x)))
15.5b	(/ (* y (- (* z z) (* x x))) (+ z x))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 77

Calls

4 calls:

10.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
3.0ms	(- (* z z) (* x x))
10.0ms	(* y (- (* z z) (* x x)))
10.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

series226.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ x (/ (* y (- (* z z) (* x x))) (+ z x)))
31.0ms	(- (* z z) (* x x))
67.0ms	(* y (- (* z z) (* x x)))
74.0ms	(/ (* y (- (* z z) (* x x))) (+ z x))

simplify514.0ms

Counts

89 → 89

Iterations

Useful iterations: 2 (166.0ms)

Iter	Nodes	Cost
0	128	1358
1	361	1272
2	1314	1098
done	5000	1098

prune162.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes95.0ms

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	6	7
1	8	7
done	8	7

end0.0ms

sample392.0ms

Algorithm

intervals

Results

194.0ms

10093×

body

valid