Details

sample23.0ms

Algorithm

intervals

Results

8.0ms

364×

body

valid

simplify35.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	4
1	41	4
2	58	4
3	77	4
4	111	4
5	171	4
6	293	4
7	521	4
8	707	4
9	787	4
10	964	4
11	988	4
12	988	4
done	988	4

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	(- (+ x y) z)
0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

35×	`*-un-lft-identity`
18×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `prod-diff`
7×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out` `add-log-exp`
6×	`times-frac` `associate-/l*` `distribute-lft-out--`
4×	`fma-neg`
3×	`difference-of-squares`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `diff-log` `div-exp` `flip--` `log1p-expm1-u` `associate-/l/`
1×	`sub-neg` `frac-2neg` `div-sub` `prod-exp` `associate--l+` `clear-num` `associate-/r*` `sum-log` `cbrt-unprod` `div-inv`

Counts

2 → 67

Calls

2 calls:

42.0ms	(- (+ x y) z)
80.0ms	(/ (- (+ x y) z) (* t 2.0))

series62.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(- (+ x y) z)
45.0ms	(/ (- (+ x y) z) (* t 2.0))

simplify33.0ms

Counts

73 → 73

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	292	450
1	1124	326
2	5002	326
done	5002	326

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ x y) (* t 2.0))
0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
63×	`*-un-lft-identity`
56×	`prod-diff`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
19×	`div-inv`
11×	`distribute-lft-out`
8×	`fma-neg`
7×	`add-exp-log` `add-cbrt-cube`
4×	`associate-/l*` `add-log-exp`
3×	`distribute-lft-out--`
2×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `flip3-+` `diff-log` `prod-exp` `clear-num` `associate-/r*` `frac-sub` `flip--` `cbrt-unprod` `flip-+` `sub-div` `difference-of-squares`

Counts

2 → 112

Calls

2 calls:

21.0ms	(/ (+ x y) (* t 2.0))
122.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

series79.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (+ x y) (* t 2.0))
44.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))

simplify54.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	476	1714
1	1549	1268
2	5001	1158
done	5001	1158

prune159.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

2.5b	(fma (+ x y) (+ x y) (fma z z (* (+ x y) z)))
4.0b	(fma z z (* (+ x y) z))
4.1b	(- (pow (+ x y) 3) (pow z 3))
41.3b	(/ (- (pow (+ x y) 3) (pow z 3)) (fma (+ x y) (+ x y) (fma z z (* (+ x y) z))))

rewrite323.0ms

Algorithm

rewrite-expression-head

Rules

281×	`*-un-lft-identity`
239×	`add-sqr-sqrt`
174×	`unpow-prod-down` `cube-prod`
168×	`prod-diff`
119×	`add-cube-cbrt`
87×	`times-frac`
80×	`difference-of-squares`
67×	`sqr-pow`
46×	`distribute-lft-out`
45×	`distribute-lft-out--`
29×	`associate-/l*`
27×	`cube-mult` `unpow3`
14×	`fma-neg`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`difference-cubes`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`associate-/r*`
2×	`flip3--` `flip--` `fma-udef` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 378

Calls

4 calls:

0.0ms	(fma (+ x y) (+ x y) (fma z z (* (+ x y) z)))
0.0ms	(fma z z (* (+ x y) z))
101.0ms	(- (pow (+ x y) 3) (pow z 3))
197.0ms	(/ (- (pow (+ x y) 3) (pow z 3)) (fma (+ x y) (+ x y) (fma z z (* (+ x y) z))))

series384.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma (+ x y) (+ x y) (fma z z (* (+ x y) z)))
27.0ms	(fma z z (* (+ x y) z))
162.0ms	(- (pow (+ x y) 3) (pow z 3))
113.0ms	(/ (- (pow (+ x y) 3) (pow z 3)) (fma (+ x y) (+ x y) (fma z z (* (+ x y) z))))

simplify140.0ms

Counts

390 → 390

Iterations

Useful iterations: 2 (88.0ms)

Iter	Nodes	Cost
0	773	5434
1	2936	4548
2	5002	4531
done	5002	4531

prune548.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4
done	11	4

end0.0ms

sample610.0ms

Algorithm

intervals

Results

245.0ms

10851×

body

valid