Details

sample95.0ms

Algorithm

intervals

Results

63.0ms

389×

body

valid

simplify2.3s

Counts

1 → 1

Iterations

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 4.7b

localize50.0ms

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))
1.5b	(/ (fma (* y 9.0) x b) z)
9.5b	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

rewrite122.0ms

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:

0.0ms	(fma (* y 9.0) x b)
36.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
8.0ms	(/ (fma (* y 9.0) x b) z)
74.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series705.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(fma (* y 9.0) x b)
234.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
128.0ms	(/ (fma (* y 9.0) x b) z)
269.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify1.7s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1298
1	392
0	174

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
3.8b	(/ (* t a) c)
5.6b	(/ b (* z c))
8.1b	(/ (* x y) (* z c))

rewrite82.0ms

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:

26.0ms	(* 9.0 (/ (* x y) (* z c)))
10.0ms	(/ (* t a) c)
13.0ms	(/ b (* z c))
30.0ms	(/ (* x y) (* z c))

series165.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(* 9.0 (/ (* x y) (* z c)))
25.0ms	(/ (* t a) c)
24.0ms	(/ b (* z c))
39.0ms	(/ (* x y) (* z c))

simplify1.7s

Counts

116 → 116

Iterations

Iter	Nodes
done	5000
2	1956
1	437
0	172

prune880.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.0b	(* t (/ a c))
5.6b	(/ b (* z c))
8.1b	(/ (* x y) (* z c))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 115

Calls

4 calls:

37.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(* t (/ a c))
14.0ms	(/ b (* z c))
25.0ms	(/ (* x y) (* z c))

series195.0ms

Counts

4 → 12

Calls

4 calls:

65.0ms	(* 9.0 (/ (* x y) (* z c)))
43.0ms	(* t (/ a c))
39.0ms	(/ b (* z c))
48.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

127 → 127

Iterations

Iter	Nodes
done	5030
2	1965
1	488
0	192

prune982.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

5.0b	(* t (/ a c))
5.3b	(/ (* z c) y)
5.6b	(/ b (* z c))
6.8b	(/ x (/ (* z c) y))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

9.0ms	(* t (/ a c))
9.0ms	(/ (* z c) y)
7.0ms	(/ b (* z c))
14.0ms	(/ x (/ (* z c) y))

series187.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* t (/ a c))
39.0ms	(/ (* z c) y)
35.0ms	(/ b (* z c))
73.0ms	(/ x (/ (* z c) y))

simplify1.6s

Counts

146 → 146

Iterations

Iter	Nodes
done	5005
2	2131
1	568
0	229

prune1.1s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

regimes1.8s

Accuracy

54.4% (4.6b remaining)

Error of 4.7b against oracle of 0.1b and baseline of 10.2b

bsearch5.0ms

simplify26.0ms

Iterations

Iter	Nodes
done	72
1	72
0	52

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.7s

12721×

body

valid