Details

sample43.0ms

Algorithm

intervals

Results

25.0ms

342×

body

valid

simplify3.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
12	4630
11	3891
10	2742
9	1466
8	912
7	702
6	572
5	392
4	222
3	115
2	53
1	25
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

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)

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
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` `distribute-lft-in` `flip3-+` `flip3--` `diff-log` `flip-+` `flip--` `distribute-lft-out` `unswap-sqr`

Counts

3 → 53

Calls

3 calls:

14.0ms	(- (* (* x 3.0) x) (* x 4.0))
219.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
20.0ms	(* (* x 3.0) x)

series246.0ms

Counts

3 → 9

Calls

3 calls:

172.0ms	(- (* (* x 3.0) x) (* x 4.0))
47.0ms	(* 3.0 (+ (- (* (* x 3.0) x) (* x 4.0)) 1.0))
27.0ms	(* (* x 3.0) x)

simplify1.3s

Counts

62 → 62

Iterations

Iter	Nodes
done	5001
2	1124
1	302
0	105

prune253.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

9.0ms	(- (* 9.0 x) 12.0)
40.0ms	(* x (- (* 9.0 x) 12.0))

series141.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(- (* 9.0 x) 12.0)
86.0ms	(* x (- (* 9.0 x) 12.0))

simplify1.8s

Counts

42 → 42

Iterations

Iter	Nodes
done	5000
3	1617
2	432
1	151
0	60

prune182.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

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	(* (* x (- (* x 3.0) 4.0)) 3.0)

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt`
6×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
5×	`add-log-exp`
4×	`associate-l` `pow-prod-down` `prod-exp` `associate-*r/` `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:

6.0ms	(- (* x 3.0) 4.0)
25.0ms	(* x (- (* x 3.0) 4.0))
72.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

series282.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(- (* x 3.0) 4.0)
95.0ms	(* x (- (* x 3.0) 4.0))
133.0ms	(* (* x (- (* x 3.0) 4.0)) 3.0)

simplify3.4s

Counts

65 → 65

Iterations

Iter	Nodes
done	5005
3	3173
2	689
1	232
0	91

prune265.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(* x (- (* x 3.0) 4.0))
0.1b	(* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0)))
0.3b	(* (* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

rewrite400.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

6.0ms	(- (* x 3.0) 4.0)
32.0ms	(* x (- (* x 3.0) 4.0))
92.0ms	(* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0)))
267.0ms	(* (* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

series578.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(- (* x 3.0) 4.0)
72.0ms	(* x (- (* x 3.0) 4.0))
235.0ms	(* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0)))
213.0ms	(* (* (* x (- (* x 3.0) 4.0)) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))

simplify1.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	1293
1	362
0	135

prune328.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

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

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample715.0ms

Algorithm

intervals

Results

555.0ms

10701×

body

valid