Details

sample43.0ms

Algorithm

intervals

Results

20.0ms

423×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: 6 (1.6s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	306	18
4	829	18
5	1810	18
6	4084	16
done	5001	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize14.0ms

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) (* (* t a) 4.0))
2.0b	(/ (fma x (* 9.0 y) b) z)
10.6b	(/ (- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0)) c)

rewrite52.0ms

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 x (* 9.0 y) b)
14.0ms	(- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0))
2.0ms	(/ (fma x (* 9.0 y) b) z)
28.0ms	(/ (- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0)) c)

series427.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(fma x (* 9.0 y) b)
167.0ms	(- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0))
66.0ms	(/ (fma x (* 9.0 y) b) z)
154.0ms	(/ (- (/ (fma x (* 9.0 y) b) z) (* (* t a) 4.0)) c)

simplify701.0ms

Counts

123 → 123

Iterations

Useful iterations: done (696.0ms)

Iter	Nodes	Cost
0	170	2305
1	377	2246
2	1178	2063
done	5000	1986

prune506.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.4b

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.5b	(/ (* (* t a) 4.0) c)
4.4b	(/ b (* z c))
11.2b	(/ (* x y) (* z c))

rewrite18.0ms

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:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
8.0ms	(/ (* (* t a) 4.0) c)
3.0ms	(/ b (* z c))
5.0ms	(/ (* x y) (* z c))

series175.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
30.0ms	(/ (* (* t a) 4.0) c)
25.0ms	(/ b (* z c))
30.0ms	(/ (* x y) (* z c))

simplify566.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (153.0ms)

Iter	Nodes	Cost
0	163	1010
1	409	986
2	1965	802
done	5000	802

prune331.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 2.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* (/ x z) (/ y c)) 9.0 (/ b (* z c)))
3.5b	(/ (* (* t a) 4.0) c)
4.4b	(/ b (* z c))
9.8b	(* (/ x z) (/ y c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
30×	`add-exp-log` `add-cbrt-cube`
28×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r` `associate-l`
9×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `div-inv` `associate-/l` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `fma-udef`

Counts

4 → 110

Calls

4 calls:

0.0ms	(fma (* (/ x z) (/ y c)) 9.0 (/ b (* z c)))
8.0ms	(/ (* (* t a) 4.0) c)
3.0ms	(/ b (* z c))
15.0ms	(* (/ x z) (/ y c))

series175.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(fma (* (/ x z) (/ y c)) 9.0 (/ b (* z c)))
30.0ms	(/ (* (* t a) 4.0) c)
25.0ms	(/ b (* z c))
31.0ms	(* (/ x z) (/ y c))

simplify1.0s

Counts

122 → 122

Iterations

Useful iterations: 2 (547.0ms)

Iter	Nodes	Cost
0	223	1306
1	594	1268
2	2324	1082
done	5000	1082

prune488.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 2.2b

localize17.0ms

Local error

Found 4 expressions with local error:

3.5b	(/ (* (* t a) 4.0) c)
4.4b	(/ b (* z c))
4.8b	(* x (/ y c))
5.5b	(/ (* x (/ y c)) z)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
23×	`add-sqr-sqrt`
19×	`times-frac`
18×	`add-cube-cbrt` `*-un-lft-identity`
13×	`associate-r`
10×	`cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-/r*`
6×	`pow1`
5×	`associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`associate-*r/` `unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 108

Calls

4 calls:

8.0ms	(/ (* (* t a) 4.0) c)
3.0ms	(/ b (* z c))
8.0ms	(* x (/ y c))
5.0ms	(/ (* x (/ y c)) z)

series105.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ (* (* t a) 4.0) c)
21.0ms	(/ b (* z c))
21.0ms	(* x (/ y c))
34.0ms	(/ (* x (/ y c)) z)

simplify620.0ms

Counts

120 → 120

Iterations

Useful iterations: 2 (201.0ms)

Iter	Nodes	Cost
0	207	1079
1	524	1039
2	1989	867
done	5000	867

prune421.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 2.2b

regimes1.1s

Accuracy

58.3% (4.1b remaining)

Error of 6.4b against oracle of 2.3b and baseline of 12.1b

bsearch3.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	186
1	63	186
done	63	186

end0.0ms

sample1.1s

Algorithm

intervals

Results

627.0ms

12748×

body

valid