Details

sample72.0ms

Algorithm

intervals

Results

29.0ms

403×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2653
4	985
3	320
2	100
1	38
0	18

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* x 9.0) y b)
0.2b	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
3.1b	(/ (fma (* x 9.0) y b) z)
9.6b	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

rewrite112.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma (* x 9.0) y b)
27.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
4.0ms	(/ (fma (* x 9.0) y b) z)
74.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

series590.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(fma (* x 9.0) y b)
251.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
82.0ms	(/ (fma (* x 9.0) y b) z)
222.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

simplify907.0ms

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1668
1	388
0	170

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.6b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* x 9.0) y b)
0.2b	(- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t))
3.3b	(* (fma (* x 9.0) y b) (/ 1 z))
9.6b	(/ (- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t)) c)

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
20×	`times-frac` `add-cube-cbrt`
15×	`add-exp-log`
13×	`associate-r`
11×	`add-cbrt-cube`
6×	`pow1` `add-log-exp`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`associate-/r` `div-exp` `associate-l` `associate-/l` `unswap-sqr`
2×	`cbrt-undiv` `flip3--` `cbrt-unprod` `div-inv` `flip--` `associate-/l/`
1×	`rec-exp` `clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `1-exp` `div-sub` `prod-diff` `pow-prod-down` `associate-r/` `un-div-inv` `-commutative` `fma-udef`

Counts

4 → 96

Calls

4 calls:

1.0ms	(fma (* x 9.0) y b)
33.0ms	(- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t))
22.0ms	(* (fma (* x 9.0) y b) (/ 1 z))
55.0ms	(/ (- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t)) c)

series622.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(fma (* x 9.0) y b)
258.0ms	(- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t))
90.0ms	(* (fma (* x 9.0) y b) (/ 1 z))
228.0ms	(/ (- (* (fma (* x 9.0) y b) (/ 1 z)) (* (* a 4.0) t)) c)

simplify2.6s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
2	2352
1	448
0	181

prune867.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
0.3b	(fma 9.0 (/ x (/ z y)) (/ b z))
5.2b	(/ x (/ z y))
9.6b	(/ (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)) c)

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

5.0ms	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
0.0ms	(fma 9.0 (/ x (/ z y)) (/ b z))
7.0ms	(/ x (/ z y))
22.0ms	(/ (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)) c)

series632.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t))
58.0ms	(fma 9.0 (/ x (/ z y)) (/ b z))
38.0ms	(/ x (/ z y))
299.0ms	(/ (- (fma 9.0 (/ x (/ z y)) (/ b z)) (* (* a 4.0) t)) c)

simplify1.5s

Counts

147 → 147

Iterations

Iter	Nodes
done	5001
2	2848
1	643
0	263

prune1.3s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(fma 9.0 (/ (* x y) z) (/ b z))
0.3b	(/ 1 (/ c (fma (- 4.0) (* a t) (fma 9.0 (/ (* x y) z) (/ b z)))))
4.3b	(/ (* x y) z)
9.7b	(/ c (fma (- 4.0) (* a t) (fma 9.0 (/ (* x y) z) (/ b z))))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
22×	`add-exp-log`
19×	`associate-/r*`
16×	`add-cbrt-cube`
10×	`div-exp`
7×	`div-inv` `associate-/l*`
6×	`cbrt-undiv`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg`
2×	`rec-exp` `1-exp`
1×	`prod-exp` `associate-/r/` `cbrt-unprod` `fma-udef` `pow-flip` `inv-pow`

Counts

4 → 140

Calls

4 calls:

0.0ms	(fma 9.0 (/ (* x y) z) (/ b z))
16.0ms	(/ 1 (/ c (fma (- 4.0) (* a t) (fma 9.0 (/ (* x y) z) (/ b z)))))
14.0ms	(/ (* x y) z)
7.0ms	(/ c (fma (- 4.0) (* a t) (fma 9.0 (/ (* x y) z) (/ b z))))

series692.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(fma 9.0 (/ (* x y) z) (/ b z))
441.0ms	(/ 1 (/ c (fma (- 4.0) (* a t) (fma 9.0 (/ (* x y) z) (/ b z)))))
34.0ms	(/ (* x y) z)
140.0ms	(/ c (fma (- 4.0) (* a t) (fma 9.0 (/ (* x y) z) (/ b z))))

simplify1.2s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	2546
1	535
0	228

prune899.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.9s

Accuracy

73.3% (3.3b remaining)

Error of 3.6b against oracle of 0.3b and baseline of 12.6b

bsearch4.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	58
1	58
0	47

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.8s

12806×

body

valid