Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

348×

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

8.0ms	(- 4.0 (* x 3.0))
21.0ms	(* (- 4.0 (* x 3.0)) x)
17.0ms	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

series213.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(- 4.0 (* x 3.0))
105.0ms	(* (- 4.0 (* x 3.0)) x)
57.0ms	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

simplify3.3s

Counts

65 → 65

Iterations

Iter	Nodes
done	5015
3	4072
2	880
1	257
0	106

prune205.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 51

Calls

3 calls:

12.0ms	(- (* x 9.0) 12.0)
25.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
32.0ms	(* x (- (* x 9.0) 12.0))

series190.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* x 9.0) 12.0)
27.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
95.0ms	(* x (- (* x 9.0) 12.0))

simplify2.1s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	2393
2	615
1	223
0	86

prune234.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 57

Calls

3 calls:

11.0ms	(+ (* 1.0 3.0) (* (- (* x 3.0)) (- 4.0 (* x 3.0))))
4.0ms	(- 4.0 (* x 3.0))
16.0ms	(* (- (* x 3.0)) (- 4.0 (* x 3.0)))

series203.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(+ (* 1.0 3.0) (* (- (* x 3.0)) (- 4.0 (* x 3.0))))
48.0ms	(- 4.0 (* x 3.0))
118.0ms	(* (- (* x 3.0)) (- 4.0 (* x 3.0)))

simplify4.3s

Counts

66 → 66

Iterations

Iter	Nodes
done	5000
3	4847
2	963
1	258
0	91

prune337.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

22.0ms	(* (- 4.0 (* x 3.0)) x)
23.0ms	(* (- 4.0 (* x 3.0)) x)
29.0ms	(* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))
36.0ms	(* (* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x)))) (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))

series406.0ms

Counts

4 → 12

Calls

4 calls:

126.0ms	(* (- 4.0 (* x 3.0)) x)
104.0ms	(* (- 4.0 (* x 3.0)) x)
135.0ms	(* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))
41.0ms	(* (* 3.0 (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x)))) (sqrt (- 1.0 (* (- 4.0 (* x 3.0)) x))))

simplify1.6s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1458
1	428
0	162

prune424.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes44.0ms

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

sample756.0ms

Algorithm

intervals

Results

589.0ms

10767×

body

valid