Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

336×

body

valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	13
1	25	13
2	54	11
3	113	11
4	166	11
5	202	11
6	228	11
7	286	11
8	420	11
9	796	11
10	902	11
11	908	11
done	908	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
0.0b	(- (* (* x 3.0) x) (* x 4.0))
0.1b	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
0.2b	(* (* x 3.0) x)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
9×	`add-sqr-sqrt`
7×	`add-cube-cbrt` `associate-r`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-+l+` `flip3-+` `diff-log` `associate-r/` `sum-log` `-commutative` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `associate-+l-` `flip3--` `distribute-lft-in` `flip--` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

34.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
7.0ms	(- (* (* x 3.0) x) (* x 4.0))
94.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
7.0ms	(* (* x 3.0) x)

series157.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (- (* (* x 3.0) x) (* x 4.0)) 1.0)
74.0ms	(- (* (* x 3.0) x) (* x 4.0))
35.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
25.0ms	(* (* x 3.0) x)

simplify548.0ms

Counts

81 → 81

Iterations

Useful iterations: done (546.0ms)

Iter	Nodes	Cost
0	117	1095
1	330	1047
2	1221	827
done	5000	813

prune156.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.1b	(* x (- (* x 9.0) 12.0))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`sub-neg` `associate-r` `associate-l`
2×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `associate-*r/` `flip--`
1×	`diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

3.0ms	(- (* x 9.0) 12.0)
11.0ms	(* x (- (* x 9.0) 12.0))

series100.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(- (* x 9.0) 12.0)
63.0ms	(* x (- (* x 9.0) 12.0))

simplify1.4s

Counts

42 → 42

Iterations

Useful iterations: 3 (222.0ms)

Iter	Nodes	Cost
0	62	401
1	142	395
2	504	351
3	2267	349
done	5000	349

prune83.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 9.0 x) 12.0)
0.1b	(* x (/ (* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0)) (+ (* x 9.0) 12.0)))
0.2b	(* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0))
0.2b	(/ (* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0)) (+ (* x 9.0) 12.0))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

3.0ms	(- (* 9.0 x) 12.0)
25.0ms	(* x (/ (* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0)) (+ (* x 9.0) 12.0)))
21.0ms	(* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0))
13.0ms	(/ (* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0)) (+ (* x 9.0) 12.0))

series265.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(- (* 9.0 x) 12.0)
65.0ms	(* x (/ (* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0)) (+ (* x 9.0) 12.0)))
122.0ms	(* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0))
41.0ms	(/ (* (- (* 9.0 x) 12.0) (+ (* x 9.0) 12.0)) (+ (* x 9.0) 12.0))

simplify1.1s

Counts

112 → 112

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	151	2219
1	472	1664
2	2669	1376
done	5000	1366

prune250.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* 3.0 x) 4.0)
0.1b	(* x (- (* 3.0 x) 4.0))
0.1b	(* (* x (- (* 3.0 x) 4.0)) 3.0)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

3.0ms	(- (* 3.0 x) 4.0)
11.0ms	(* x (- (* 3.0 x) 4.0))
16.0ms	(* (* x (- (* 3.0 x) 4.0)) 3.0)

series371.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(- (* 3.0 x) 4.0)
250.0ms	(* x (- (* 3.0 x) 4.0))
83.0ms	(* (* x (- (* 3.0 x) 4.0)) 3.0)

simplify3.1s

Counts

65 → 65

Iterations

Useful iterations: 3 (444.0ms)

Iter	Nodes	Cost
0	89	694
1	216	683
2	877	585
3	4763	576
done	5000	576

prune103.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes17.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	15	13
done	15	13

end0.0ms

sample371.0ms

Algorithm

intervals

Results

258.0ms

10578×

body

valid