Details

sample20.0ms

Algorithm

intervals

Results

11.0ms

331×

body

valid

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (9.0ms)

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: 0.2b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

11.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
8.0ms	(- (* x 3.0) 4.0)
32.0ms	(* x (- (* x 3.0) 4.0))
18.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(+ 1.0 (* x (- (* x 3.0) 4.0)))
52.0ms	(- (* x 3.0) 4.0)
89.0ms	(* x (- (* x 3.0) 4.0))
32.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify2.5s

Counts

85 → 85

Iterations

Useful iterations: 3 (1.0s)

Iter	Nodes	Cost
0	119	1014
1	296	982
2	853	884
3	3608	876
done	5000	876

prune266.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 9.0) 12.0)
0.0b	(+ 3.0 (* x (- (* x 9.0) 12.0)))
0.1b	(* x (- (* x 9.0) 12.0))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

8.0ms	(- (* x 9.0) 12.0)
12.0ms	(+ 3.0 (* x (- (* x 9.0) 12.0)))
30.0ms	(* x (- (* x 9.0) 12.0))

series213.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(- (* x 9.0) 12.0)
44.0ms	(+ 3.0 (* x (- (* x 9.0) 12.0)))
103.0ms	(* x (- (* x 9.0) 12.0))

simplify1.6s

Counts

60 → 60

Iterations

Useful iterations: 3 (563.0ms)

Iter	Nodes	Cost
0	86	643
1	206	614
2	537	560
3	1952	558
done	5001	558

prune191.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 9.0 (pow x 2)) 3.0)
0.0b	(+ (+ (* 9.0 (pow x 2)) 3.0) (* (- 12.0) x))
0.2b	(* 9.0 (pow x 2))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 53

Calls

3 calls:

10.0ms	(+ (* 9.0 (pow x 2)) 3.0)
67.0ms	(+ (+ (* 9.0 (pow x 2)) 3.0) (* (- 12.0) x))
26.0ms	(* 9.0 (pow x 2))

series159.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* 9.0 (pow x 2)) 3.0)
31.0ms	(+ (+ (* 9.0 (pow x 2)) 3.0) (* (- 12.0) x))
37.0ms	(* 9.0 (pow x 2))

simplify2.8s

Counts

62 → 62

Iterations

Useful iterations: done (2.8s)

Iter	Nodes	Cost
0	98	687
1	255	612
2	803	560
3	3262	519
done	5000	516

prune220.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
0.0b	(+ (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* (- 12.0) x))
0.2b	(* (cbrt 9.0) (pow x 2))
0.3b	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

rewrite397.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-exp-log`
21×	`prod-exp`
20×	`add-sqr-sqrt`
11×	`add-cbrt-cube` `add-log-exp`
9×	`pow1` `associate-r` `cbrt-unprod`
8×	`add-cube-cbrt` `*-un-lft-identity` `unswap-sqr`
7×	`cbrt-prod` `associate-l`
5×	`unpow-prod-down`
4×	`sum-log`
3×	`pow-to-exp` `pow-prod-down` `pow-exp` `unpow2` `sqr-pow`
2×	`+-commutative` `distribute-lft-neg-out` `flip3-+` `*-commutative` `flip-+`
1×	`associate-+l+` `unsub-neg`

Counts

4 → 84

Calls

4 calls:

44.0ms	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
266.0ms	(+ (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* (- 12.0) x))
16.0ms	(* (cbrt 9.0) (pow x 2))
67.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

220.0ms	(+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0)
66.0ms	(+ (+ (* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2))) 3.0) (* (- 12.0) x))
79.0ms	(* (cbrt 9.0) (pow x 2))
131.0ms	(* (* (cbrt 9.0) (cbrt 9.0)) (* (cbrt 9.0) (pow x 2)))

simplify1.8s

Counts

96 → 96

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	133	1475
1	345	1343
2	1231	988
done	5000	775

prune263.0ms

Pruning

5 alts after pruning (2 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample998.0ms

Algorithm

intervals

Results

737.0ms

10657×

body

valid