Details

sample141.0ms

Algorithm

intervals

Results

58.0ms

424×

body

valid

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1681
4	803
3	296
2	98
1	38
0	18

prune73.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.9b

localize71.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* y 9.0) x b)
0.5b	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
2.2b	(/ (fma (* y 9.0) x b) z)
11.0b	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

rewrite214.0ms

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` `insert-posit16` `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 → 115

Calls

4 calls:

1.0ms	(fma (* y 9.0) x b)
49.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
7.0ms	(/ (fma (* y 9.0) x b) z)
149.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series916.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(fma (* y 9.0) x b)
357.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
136.0ms	(/ (fma (* y 9.0) x b) z)
356.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify3.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	1299
1	392
0	174

prune2.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.7b

localize103.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
2.8b	(/ b (* z c))
6.2b	(/ (* t a) c)
8.6b	(/ (* x y) (* z c))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-cbrt-cube` `add-exp-log`
15×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `cbrt-undiv` `div-exp`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`times-frac`
6×	`pow1`
5×	`associate-/r` `associate-r` `associate-/l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 104

Calls

4 calls:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
16.0ms	(/ b (* z c))
13.0ms	(/ (* t a) c)
24.0ms	(/ (* x y) (* z c))

series278.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* 9.0 (/ (* x y) (* z c)))
39.0ms	(/ b (* z c))
41.0ms	(/ (* t a) c)
68.0ms	(/ (* x y) (* z c))

simplify3.3s

Counts

116 → 116

Iterations

Iter	Nodes
done	5078
2	1942
1	435
0	172

prune2.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
2.8b	(/ b (* z c))
4.3b	(/ t (/ c a))
8.6b	(/ (* x y) (* z c))

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
44×	`add-cbrt-cube` `add-exp-log`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

42.0ms	(* 9.0 (/ (* x y) (* z c)))
11.0ms	(/ b (* z c))
18.0ms	(/ t (/ c a))
17.0ms	(/ (* x y) (* z c))

series232.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(* 9.0 (/ (* x y) (* z c)))
34.0ms	(/ b (* z c))
47.0ms	(/ t (/ c a))
62.0ms	(/ (* x y) (* z c))

simplify3.8s

Counts

165 → 165

Iterations

Iter	Nodes
done	5030
2	2479
1	682
0	272

prune3.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize76.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ b (* z c))
4.3b	(/ t (/ c a))
4.4b	(/ (* z c) y)
5.6b	(/ x (/ (* z c) y))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 172

Calls

4 calls:

11.0ms	(/ b (* z c))
22.0ms	(/ t (/ c a))
13.0ms	(/ (* z c) y)
15.0ms	(/ x (/ (* z c) y))

series205.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ b (* z c))
43.0ms	(/ t (/ c a))
47.0ms	(/ (* z c) y)
75.0ms	(/ x (/ (* z c) y))

simplify3.3s

Counts

184 → 184

Iterations

Iter	Nodes
done	5006
2	2584
1	751
0	309

prune3.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes5.4s

Accuracy

66.5% (3.3b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 9.8b

bsearch7.0ms

simplify48.0ms

Iterations

Iter	Nodes
done	73
1	73
0	55

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.8s

12941×

body

valid