Details

sample39.0ms

Algorithm

intervals

Results

21.0ms

330×

body

valid

simplify1.3s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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))
0.2b	(* (* x 3.0) x)

rewrite350.0ms

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:

21.0ms	(- (* (* x 3.0) x) (* x 4.0))
299.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
29.0ms	(* (* x 3.0) x)

series179.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(- (* (* x 3.0) x) (* x 4.0))
34.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
32.0ms	(* (* x 3.0) x)

simplify2.9s

Counts

62 → 62

Iterations

Useful iterations: 3 (1.3s)

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

prune194.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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:

12.0ms	(- (* 9.0 x) 12.0)
31.0ms	(* x (- (* 9.0 x) 12.0))

series134.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(- (* 9.0 x) 12.0)
80.0ms	(* x (- (* 9.0 x) 12.0))

simplify3.8s

Counts

42 → 42

Iterations

Useful iterations: 3 (305.0ms)

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

prune120.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize24.0ms

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)

rewrite132.0ms

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:

16.0ms	(- (* 3.0 x) 4.0)
33.0ms	(* x (- (* 3.0 x) 4.0))
80.0ms	(* (* x (- (* 3.0 x) 4.0)) 3.0)

series290.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* 3.0 x) 4.0)
79.0ms	(* x (- (* 3.0 x) 4.0))
144.0ms	(* (* x (- (* 3.0 x) 4.0)) 3.0)

simplify2.5s

Counts

65 → 65

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	89	694
1	210	683
2	647	585
3	2669	576
done	5002	576

prune197.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize12.0ms

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

rewrite278.0ms

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:

16.0ms	(- (* 3.0 x) 4.0)
35.0ms	(* 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)))
91.0ms	(* (cbrt 3.0) (+ (* x (- (* 3.0 x) 4.0)) 1.0))

series343.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* 3.0 x) 4.0)
100.0ms	(* x (- (* 3.0 x) 4.0))
121.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ (* x (- (* 3.0 x) 4.0)) 1.0)))
65.0ms	(* (cbrt 3.0) (+ (* x (- (* 3.0 x) 4.0)) 1.0))

simplify1.4s

Counts

102 → 102

Iterations

Useful iterations: done (1.4s)

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

prune314.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

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

10631×

body

valid