Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

347×

body

valid

simplify308.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	41	9
3	67	9
4	87	9
5	101	9
6	138	9
7	168	9
8	185	9
done	185	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x (+ 0.253 (* x 0.12))))
0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 47

Calls

3 calls:

15.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
11.0ms	(+ 0.253 (* x 0.12))
27.0ms	(* x (+ 0.253 (* x 0.12)))

series204.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(- 1.0 (* x (+ 0.253 (* x 0.12))))
55.0ms	(+ 0.253 (* x 0.12))
111.0ms	(* x (+ 0.253 (* x 0.12)))

simplify2.8s

Counts

56 → 56

Iterations

Useful iterations: 2 (175.0ms)

Iter	Nodes	Cost
0	84	617
1	226	574
2	721	532
3	2970	532
done	5000	532

prune180.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (* x 0.253))
0.0b	(- (- 1.0 (* x 0.253)) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 46

Calls

3 calls:

10.0ms	(- 1.0 (* x 0.253))
43.0ms	(- (- 1.0 (* x 0.253)) (* x (* x 0.12)))
27.0ms	(* x (* x 0.12))

series126.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(- 1.0 (* x 0.253))
33.0ms	(- (- 1.0 (* x 0.253)) (* x (* x 0.12)))
54.0ms	(* x (* x 0.12))

simplify2.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (748.0ms)

Iter	Nodes	Cost
0	84	591
1	216	520
2	692	472
3	2534	468
done	5000	468

prune131.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* x (* x 0.12)))
0.2b	(* x (* x 0.12))
0.2b	(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
0.3b	(* (* x 0.253) (* x 0.253))

rewrite254.0ms

Algorithm

rewrite-expression-head

Rules

48×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
20×	`pow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`prod-exp` `cbrt-unprod`
6×	`add-log-exp`
4×	`associate-l` `pow-sqr` `pow-prod-up` `associate-/l*` `difference-of-squares`
3×	`associate-/r*`
2×	`flip3--` `pow-plus` `div-sub` `associate-r` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`cbrt-undiv` `associate--l-` `pow2` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `swap-sqr` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 101

Calls

4 calls:

140.0ms	(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* x (* x 0.12)))
16.0ms	(* x (* x 0.12))
50.0ms	(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
44.0ms	(* (* x 0.253) (* x 0.253))

series364.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* x (* x 0.12)))
56.0ms	(* x (* x 0.12))
182.0ms	(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
33.0ms	(* (* x 0.253) (* x 0.253))

simplify1.8s

Counts

113 → 113

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	166	1926
1	436	1747
2	1614	1583
done	5000	1333

prune340.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* 0.12 (pow x 2)))
0.2b	(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
0.2b	(* 0.12 (pow x 2))
0.3b	(* (* x 0.253) (* x 0.253))

rewrite236.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
23×	`add-exp-log`
22×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
17×	`pow-prod-down`
16×	`add-cube-cbrt` `*-un-lft-identity`
12×	`times-frac`
11×	`prod-exp`
9×	`associate-r` `cbrt-unprod`
6×	`add-log-exp`
4×	`unpow-prod-down` `associate-l` `pow-sqr` `pow-prod-up` `associate-/l*` `difference-of-squares` `unswap-sqr`
3×	`associate-/r*`
2×	`flip3--` `pow-plus` `div-sub` `associate-/r/` `*-commutative` `flip--` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `associate--l-` `pow2` `pow-to-exp` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `swap-sqr` `div-exp` `pow-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 110

Calls

4 calls:

108.0ms	(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* 0.12 (pow x 2)))
46.0ms	(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
12.0ms	(* 0.12 (pow x 2))
63.0ms	(* (* x 0.253) (* x 0.253))

series377.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(- (/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253))) (* 0.12 (pow x 2)))
189.0ms	(/ (- (* 1.0 1.0) (* (* x 0.253) (* x 0.253))) (+ 1.0 (* x 0.253)))
41.0ms	(* 0.12 (pow x 2))
48.0ms	(* (* x 0.253) (* x 0.253))

simplify1.4s

Counts

122 → 122

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	185	2004
1	459	1805
2	1538	1640
done	5001	1388

prune441.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes25.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	23
1	17	23
done	17	23

end0.0ms

sample666.0ms

Algorithm

intervals

Results

489.0ms

10740×

body

valid