Details

sample37.0ms

Algorithm

intervals

Results

22.0ms

337×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	55	11
3	121	11
4	182	11
5	210	11
6	236	11
7	285	11
8	383	11
9	485	11
10	553	11
11	570	11
done	570	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite372.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

22.0ms	(- (* (* x 3.0) x) (* x 4.0))
316.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
32.0ms	(* (* x 3.0) x)

series191.0ms

Counts

3 → 9

Calls

3 calls:

102.0ms	(- (* (* x 3.0) x) (* x 4.0))
54.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
36.0ms	(* (* x 3.0) x)

simplify3.3s

Counts

62 → 62

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	105	803
1	282	760
2	937	606
3	3854	598
done	5000	598

prune192.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite66.0ms

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:

22.0ms	(- (* 9.0 x) 12.0)
42.0ms	(* x (- (* 9.0 x) 12.0))

series156.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(- (* 9.0 x) 12.0)
83.0ms	(* x (- (* 9.0 x) 12.0))

simplify3.8s

Counts

42 → 42

Iterations

Useful iterations: 3 (327.0ms)

Iter	Nodes	Cost
0	60	401
1	135	395
2	339	351
3	1036	349
4	4093	349
done	5001	349

prune140.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (pow (* 3.0 (pow x 2)) 1) (* x 4.0))
0.1b	(* 3.0 (+ (- (pow (* 3.0 (pow x 2)) 1) (* x 4.0)) 1.0))
0.2b	(* 3.0 (pow x 2))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
12×	`associate-r`
10×	`add-exp-log` `*-un-lft-identity`
8×	`add-cube-cbrt`
7×	`add-cbrt-cube`
6×	`associate-l`
5×	`pow1` `add-log-exp` `unswap-sqr`
4×	`unpow-prod-down` `prod-exp`
2×	`associate-r/` `-commutative` `cbrt-unprod` `unpow2` `sqr-pow`
1×	`distribute-rgt-in` `pow-to-exp` `sub-neg` `flip3--` `distribute-lft-in` `flip3-+` `diff-log` `pow-prod-down` `pow-exp` `flip--` `flip-+` `distribute-lft-out`

Counts

3 → 62

Calls

3 calls:

23.0ms	(- (pow (* 3.0 (pow x 2)) 1) (* x 4.0))
173.0ms	(* 3.0 (+ (- (pow (* 3.0 (pow x 2)) 1) (* x 4.0)) 1.0))
13.0ms	(* 3.0 (pow x 2))

series194.0ms

Counts

3 → 9

Calls

3 calls:

103.0ms	(- (pow (* 3.0 (pow x 2)) 1) (* x 4.0))
49.0ms	(* 3.0 (+ (- (pow (* 3.0 (pow x 2)) 1) (* x 4.0)) 1.0))
41.0ms	(* 3.0 (pow x 2))

simplify2.5s

Counts

71 → 71

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	119	970
1	300	813
2	886	734
3	3827	652
done	5001	649

prune211.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite275.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

17.0ms	(- (* 3.0 x) 4.0)
53.0ms	(* x (- (* 3.0 x) 4.0))
130.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
70.0ms	(* (cbrt 3.0) (+ (* x (- (* 3.0 x) 4.0)) 1.0))

series362.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(- (* 3.0 x) 4.0)
106.0ms	(* x (- (* 3.0 x) 4.0))
97.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
84.0ms	(* (cbrt 3.0) (+ (* x (- (* 3.0 x) 4.0)) 1.0))

simplify1.5s

Counts

102 → 102

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	149	1625
1	409	1594
2	1451	1266
done	5000	1134

prune294.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes31.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

10623×

body

valid