Details

sample18.0ms

Algorithm

intervals

Results

8.0ms

334×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	15	9
2	28	9
3	55	9
4	84	9
5	109	9
6	126	9
7	143	9
8	194	9
9	296	9
10	416	9
11	464	9
12	529	9
13	591	9
14	606	9
15	642	9
16	731	9
17	951	9
18	1183	9
19	1473	9
20	1660	9
21	1664	9
done	1664	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* (* (- y x) 6.0) z))
0.0b	(* (- y x) 6.0)
0.3b	(* (* (- y x) 6.0) z)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

3.0ms	(+ x (* (* (- y x) 6.0) z))
10.0ms	(* (- y x) 6.0)
15.0ms	(* (* (- y x) 6.0) z)

series115.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(+ x (* (* (- y x) 6.0) z))
29.0ms	(* (- y x) 6.0)
41.0ms	(* (* (- y x) 6.0) z)

simplify2.4s

Counts

62 → 62

Iterations

Useful iterations: 2 (117.0ms)

Iter	Nodes	Cost
0	98	644
1	246	603
2	910	521
3	4394	521
done	5001	521

prune121.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (- y x) (* 6.0 z)))
0.3b	(* (- y x) (* 6.0 z))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ x (* (- y x) (* 6.0 z)))
14.0ms	(* (- y x) (* 6.0 z))

series83.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ x (* (- y x) (* 6.0 z)))
40.0ms	(* (- y x) (* 6.0 z))

simplify1.7s

Counts

39 → 39

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	75	468
1	207	438
2	660	376
3	2895	376
done	5000	376

prune73.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (- (* y y) (* x x)) 6.0)
0.3b	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
1.9b	(- (* y y) (* x x))
26.5b	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

10.0ms	(* (- (* y y) (* x x)) 6.0)
23.0ms	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
3.0ms	(- (* y y) (* x x))
10.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

series200.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (- (* y y) (* x x)) 6.0)
65.0ms	(* (/ (* (- (* y y) (* x x)) 6.0) (+ y x)) z)
30.0ms	(- (* y y) (* x x))
60.0ms	(/ (* (- (* y y) (* x x)) 6.0) (+ y x))

simplify680.0ms

Counts

103 → 103

Iterations

Useful iterations: 2 (181.0ms)

Iter	Nodes	Cost
0	147	1587
1	410	1524
2	1770	1248
done	5000	1248

prune193.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* 6.0 (* z (- y x))))
0.0b	(* z (- y x))
0.3b	(* 6.0 (* z (- y x)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

4.0ms	(+ x (* 6.0 (* z (- y x))))
10.0ms	(* z (- y x))
15.0ms	(* 6.0 (* z (- y x)))

series139.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(+ x (* 6.0 (* z (- y x))))
37.0ms	(* z (- y x))
59.0ms	(* 6.0 (* z (- y x)))

simplify1.6s

Counts

82 → 82

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	108	821
1	263	784
2	725	694
3	3187	694
done	5000	694

prune128.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample462.0ms

Algorithm

intervals

Results

245.0ms

10116×

body

valid