Details

sample38.0ms

Algorithm

intervals

Results

21.0ms

338×

body

valid

simplify3.3s

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

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)))

rewrite48.0ms

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:

4.0ms	(- 4.0 (* x 3.0))
14.0ms	(* (- 4.0 (* x 3.0)) x)
28.0ms	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

series232.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(- 4.0 (* x 3.0))
126.0ms	(* (- 4.0 (* x 3.0)) x)
44.0ms	(* 3.0 (- 1.0 (* (- 4.0 (* x 3.0)) x)))

simplify3.8s

Counts

65 → 65

Iterations

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

prune298.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite77.0ms

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:

24.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
10.0ms	(- (* x 9.0) 12.0)
41.0ms	(* x (- (* x 9.0) 12.0))

series177.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x (- (* x 9.0) 12.0)) 3.0)
58.0ms	(- (* x 9.0) 12.0)
87.0ms	(* x (- (* x 9.0) 12.0))

simplify2.4s

Counts

60 → 60

Iterations

Iter	Nodes
done	5000
3	2285
2	612
1	224
0	86

prune244.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

5.0ms	(- 4.0 (* x 3.0))
14.0ms	(* (- 4.0 (* x 3.0)) x)
69.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x))))
29.0ms	(* (cbrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x)))

series394.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(- 4.0 (* x 3.0))
117.0ms	(* (- 4.0 (* x 3.0)) x)
117.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (cbrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x))))
88.0ms	(* (cbrt 3.0) (- 1.0 (* (- 4.0 (* x 3.0)) x)))

simplify1.5s

Counts

104 → 104

Iterations

Iter	Nodes
done	5002
2	1491
1	410
0	149

prune423.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1` `add-exp-log`
41×	`pow-prod-down` `prod-exp` `cbrt-unprod`
34×	`distribute-rgt-in` `distribute-lft-in`
32×	`add-cbrt-cube`
18×	`add-sqr-sqrt`
14×	`sub-neg` `associate-l`
12×	`cbrt-prod` `associate-*r/`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-r`
4×	`flip3--` `*-commutative` `flip--` `add-log-exp` `unswap-sqr`
2×	`associate-*l/`

Counts

4 → 142

Calls

4 calls:

22.0ms	(* (cbrt (cbrt 3.0)) (- 1.0 (* (- 4.0 (* x 3.0)) x)))
22.0ms	(* (- 4.0 (* x 3.0)) x)
156.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (- 1.0 (* (- 4.0 (* x 3.0)) x)))))
58.0ms	(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (- 1.0 (* (- 4.0 (* x 3.0)) x))))

series412.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(* (cbrt (cbrt 3.0)) (- 1.0 (* (- 4.0 (* x 3.0)) x)))
87.0ms	(* (- 4.0 (* x 3.0)) x)
116.0ms	(* (* (cbrt 3.0) (cbrt 3.0)) (* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (- 1.0 (* (- 4.0 (* x 3.0)) x)))))
72.0ms	(* (* (cbrt (cbrt 3.0)) (cbrt (cbrt 3.0))) (* (cbrt (cbrt 3.0)) (- 1.0 (* (- 4.0 (* x 3.0)) x))))

simplify2.4s

Counts

154 → 154

Iterations

Iter	Nodes
done	5006
2	2399
1	632
0	207

prune491.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes50.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample838.0ms

Algorithm

intervals

Results

648.0ms

10672×

body

valid