Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

342×

body

valid

simplify862.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	10	13
1	25	13
2	53	11
3	112	11
4	163	11
5	191	11
6	220	11
7	285	11
8	413	11
9	679	11
10	764	11
11	803	11
done	803	11

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 46

Calls

2 calls:

10.0ms	(* x (- (* x 3.0) 4.0))
7.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

series93.0ms

Counts

2 → 6

Calls

2 calls:

61.0ms	(* x (- (* x 3.0) 4.0))
31.0ms	(* 3.0 (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (372.0ms)

Iter	Nodes	Cost
0	98	644
1	246	624
2	701	560
3	2568	554
done	5001	554

prune87.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

13.0ms

(* x (- (* 9.0 x) 12.0))

series61.0ms

Counts

1 → 3

Calls

1 calls:

60.0ms

(* x (- (* 9.0 x) 12.0))

simplify2.7s

Counts

27 → 27

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	52	273
1	117	270
2	312	236
3	1009	236
4	3825	236
done	5000	236

prune53.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 78

Calls

3 calls:

20.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
12.0ms	(* x (- (* x 3.0) 4.0))
8.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

series178.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0)))))
59.0ms	(* x (- (* x 3.0) 4.0))
55.0ms	(* (cbrt 3.0) (+ 1.0 (* x (- (* x 3.0) 4.0))))

simplify945.0ms

Counts

87 → 87

Iterations

Useful iterations: done (942.0ms)

Iter	Nodes	Cost
0	141	1497
1	389	1469
2	1354	1151
done	5002	1121

prune169.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-exp-log` `add-cbrt-cube`
14×	`sqrt-div` `associate-*r/`
13×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
7×	`flip3-+` `sqrt-prod` `flip-+`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`distribute-rgt-in` `frac-times` `sub-neg` `distribute-lft-in` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`flip3--` `associate-*l/` `flip--`

Counts

4 → 101

Calls

4 calls:

8.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
10.0ms	(* x (- (* x 3.0) 4.0))
10.0ms	(* x (- (* x 3.0) 4.0))
21.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))
61.0ms	(* x (- (* x 3.0) 4.0))
59.0ms	(* x (- (* x 3.0) 4.0))
34.0ms	(* (* 3.0 (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0))))) (sqrt (+ 1.0 (* x (- (* x 3.0) 4.0)))))

simplify1.9s

Counts

113 → 113

Iterations

Useful iterations: 3 (936.0ms)

Iter	Nodes	Cost
0	167	2164
1	421	1768
2	1216	1568
3	3865	1555
done	5000	1555

prune228.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes20.0ms

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

sample382.0ms

Algorithm

intervals

Results

268.0ms

10738×

body

valid