Details

sample25.0ms

Algorithm

intervals

Results

14.0ms

341×

body

valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	10	13
1	26	13
2	55	11
3	122	11
4	303	11
5	824	11
6	2820	11
done	5001	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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))))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 58

Calls

3 calls:

12.0ms	(- (* x 3.0) 4.0)
49.0ms	(* x (- (* x 3.0) 4.0))
19.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series163.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- (* x 3.0) 4.0)
68.0ms	(* x (- (* x 3.0) 4.0))
33.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify699.0ms

Counts

67 → 67

Iterations

Useful iterations: done (696.0ms)

Iter	Nodes	Cost
0	108	772
1	300	749
2	1251	683
done	5000	667

prune188.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite45.0ms

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:

8.0ms	(- (* 9.0 x) 12.0)
36.0ms	(* x (- (* 9.0 x) 12.0))

series133.0ms

Counts

2 → 6

Calls

2 calls:

48.0ms	(- (* 9.0 x) 12.0)
85.0ms	(* x (- (* 9.0 x) 12.0))

simplify2.3s

Counts

42 → 42

Iterations

Useful iterations: 3 (766.0ms)

Iter	Nodes	Cost
0	60	401
1	153	395
2	592	359
3	4018	351
done	5001	351

prune106.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 40

Calls

2 calls:

10.0ms	(+ (* 9.0 (pow x 2)) (* (- 12.0) x))
14.0ms	(* 9.0 (pow x 2))

series156.0ms

Counts

2 → 6

Calls

2 calls:

114.0ms	(+ (* 9.0 (pow x 2)) (* (- 12.0) x))
41.0ms	(* 9.0 (pow x 2))

simplify671.0ms

Counts

46 → 46

Iterations

Useful iterations: done (670.0ms)

Iter	Nodes	Cost
0	76	458
1	200	404
2	896	356
done	5000	326

prune107.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite133.0ms

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:

8.0ms	(- (* x 3.0) 4.0)
62.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
34.0ms	(* x (- (* x 3.0) 4.0))
24.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

series305.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(- (* x 3.0) 4.0)
78.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
88.0ms	(* x (- (* x 3.0) 4.0))
93.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify1.8s

Counts

102 → 102

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	151	1625
1	469	1594
2	2607	1280
done	5000	1172

prune519.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes12.0ms

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

sample795.0ms

Algorithm

intervals

Results

571.0ms

10776×

body

valid