Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

324×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	20	9
3	34	9
4	53	9
5	64	9
6	75	9
7	96	9
8	136	9
9	377	9
10	1759	9
done	5001	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (- 1.0 x) y) (* x z))
0.0b	(* (- 1.0 x) y)

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`*-un-lft-identity`
5×	`associate-l`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/`
1×	`+-commutative` `flip3--` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

15.0ms	(+ (* (- 1.0 x) y) (* x z))
27.0ms	(* (- 1.0 x) y)

series71.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* (- 1.0 x) y) (* x z))
32.0ms	(* (- 1.0 x) y)

simplify437.0ms

Counts

39 → 39

Iterations

Useful iterations: done (436.0ms)

Iter	Nodes	Cost
0	71	405
1	189	375
2	738	347
done	5000	345

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
0.0b	(- (* 1.0 1.0) (* x x))
3.3b	(* (- (* 1.0 1.0) (* x x)) y)
6.4b	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

rewrite153.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `add-log-exp`
6×	`pow1`
4×	`times-frac` `associate-l` `associate-l/` `associate-/r`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `flip-+` `associate-/l/` `distribute-lft-out` `difference-of-squares`
1×	`+-commutative` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

61.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
11.0ms	(- (* 1.0 1.0) (* x x))
38.0ms	(* (- (* 1.0 1.0) (* x x)) y)
40.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

series256.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(+ (/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x)) (* x z))
54.0ms	(- (* 1.0 1.0) (* x x))
54.0ms	(* (- (* 1.0 1.0) (* x x)) y)
67.0ms	(/ (* (- (* 1.0 1.0) (* x x)) y) (+ 1.0 x))

simplify1.3s

Counts

84 → 84

Iterations

Useful iterations: 2 (273.0ms)

Iter	Nodes	Cost
0	129	1337
1	395	1257
2	2319	1097
done	5000	1097

prune240.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- (* 1.0 1.0) (* x x)) (/ (+ 1.0 x) y)) (* x z))
0.0b	(- (* 1.0 1.0) (* x x))
0.0b	(/ (+ 1.0 x) y)
8.4b	(/ (- (* 1.0 1.0) (* x x)) (/ (+ 1.0 x) y))

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

136×	`times-frac`
108×	`*-un-lft-identity`
70×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*` `distribute-lft-out`
18×	`difference-of-squares`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*` `add-log-exp`
7×	`div-inv`
4×	`pow1` `cbrt-undiv` `div-exp` `associate-/l/`
2×	`flip3--` `frac-2neg` `flip3-+` `div-sub` `clear-num` `flip--` `flip-+`
1×	`+-commutative` `associate-+l-` `sub-neg` `diff-log` `sum-log` `associate-/r/`

Counts

4 → 160

Calls

4 calls:

93.0ms	(+ (/ (- (* 1.0 1.0) (* x x)) (/ (+ 1.0 x) y)) (* x z))
8.0ms	(- (* 1.0 1.0) (* x x))
29.0ms	(/ (+ 1.0 x) y)
42.0ms	(/ (- (* 1.0 1.0) (* x x)) (/ (+ 1.0 x) y))

series202.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (/ (- (* 1.0 1.0) (* x x)) (/ (+ 1.0 x) y)) (* x z))
44.0ms	(- (* 1.0 1.0) (* x x))
35.0ms	(/ (+ 1.0 x) y)
62.0ms	(/ (- (* 1.0 1.0) (* x x)) (/ (+ 1.0 x) y))

simplify2.1s

Counts

172 → 172

Iterations

Useful iterations: 2 (562.0ms)

Iter	Nodes	Cost
0	247	3398
1	814	3238
2	4828	2840
done	5000	2840

prune534.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes70.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	11	9
done	11	9

end0.0ms

sample906.0ms

Algorithm

intervals

Results

410.0ms

10145×

body

valid