Details

sample79.0ms

Algorithm

intervals

Results

34.0ms

416×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: done (2.9s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	321	18
4	988	18
5	2636	18
done	5000	16

prune26.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* x 9.0) b)
0.9b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
2.5b	(/ (fma y (* x 9.0) b) z)
8.5b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`fma-neg` `prod-diff`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `fma-udef`

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma y (* x 9.0) b)
29.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
6.0ms	(/ (fma y (* x 9.0) b) z)
60.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series678.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(fma y (* x 9.0) b)
250.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
100.0ms	(/ (fma y (* x 9.0) b) z)
257.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	170	2305
1	387	2243
2	1744	2065
done	5001	2006

prune661.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 5.2b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.0b	(/ b (* z c))
4.8b	(/ (* (* a 4.0) t) c)
7.0b	(/ (* x y) (* z c))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
7×	`times-frac`
5×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
1×	`fma-udef`

Counts

4 → 81

Calls

4 calls:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
16.0ms	(/ b (* z c))
37.0ms	(/ (* (* a 4.0) t) c)
15.0ms	(/ (* x y) (* z c))

series306.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
49.0ms	(/ b (* z c))
55.0ms	(/ (* (* a 4.0) t) c)
60.0ms	(/ (* x y) (* z c))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 2 (359.0ms)

Iter	Nodes	Cost
0	163	1010
1	420	986
2	2401	808
done	5000	808

prune474.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (* z c))
3.0b	(/ b (* z c))
4.8b	(/ (* (* a 4.0) t) c)
7.0b	(* (* x y) (/ 1 (* z c)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

74×	`add-exp-log`
44×	`add-cbrt-cube`
34×	`prod-exp`
17×	`div-exp`
16×	`cbrt-unprod`
12×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
11×	`cbrt-undiv`
7×	`associate-r` `associate-/l*`
6×	`rec-exp` `1-exp`
5×	`associate-/r*`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip`
1×	`associate-r/` `associate-l` `un-div-inv` `-commutative` `inv-pow`

Counts

4 → 120

Calls

4 calls:

18.0ms	(/ 1 (* z c))
17.0ms	(/ b (* z c))
44.0ms	(/ (* (* a 4.0) t) c)
57.0ms	(* (* x y) (/ 1 (* z c)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(/ 1 (* z c))
34.0ms	(/ b (* z c))
45.0ms	(/ (* (* a 4.0) t) c)
50.0ms	(* (* x y) (/ 1 (* z c)))

simplify2.1s

Counts

132 → 132

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	195	1291
1	541	1171
2	3391	934
done	5001	916

prune634.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize26.0ms

Local error

Found 4 expressions with local error:

3.0b	(/ b (* z c))
3.9b	(/ (* z c) y)
4.8b	(/ (* (* a 4.0) t) c)
5.0b	(/ x (/ (* z c) y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
32×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
12×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
6×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 121

Calls

4 calls:

8.0ms	(/ b (* z c))
11.0ms	(/ (* z c) y)
34.0ms	(/ (* (* a 4.0) t) c)
26.0ms	(/ x (/ (* z c) y))

series182.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ b (* z c))
47.0ms	(/ (* z c) y)
55.0ms	(/ (* (* a 4.0) t) c)
44.0ms	(/ x (/ (* z c) y))

simplify1.6s

Counts

133 → 133

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	221	1343
1	570	1301
2	3115	1147
done	5000	1129

prune1.1s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

Accuracy

45.7% (5.2b remaining)

Error of 5.4b against oracle of 0.1b and baseline of 9.8b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	188
1	56	188
done	56	188

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.5s

12816×

body

valid