Details

sample50.0ms

Algorithm

intervals

Results

26.0ms

424×

body

valid

simplify1.8s

Counts

1 → 1

Iterations

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

prune33.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize56.0ms

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)

rewrite167.0ms

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)
53.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
10.0ms	(/ (fma (* y 9.0) x b) z)
101.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

series644.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma (* y 9.0) x b)
246.0ms	(- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0))
109.0ms	(/ (fma (* y 9.0) x b) z)
248.0ms	(/ (- (/ (fma (* y 9.0) x b) z) (* (* a t) 4.0)) c)

simplify1.6s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1298
1	392
0	174

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize45.0ms

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))

rewrite76.0ms

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:

36.0ms	(* 9.0 (/ (* x y) (* z c)))
11.0ms	(/ b (* z c))
11.0ms	(/ (* t a) c)
15.0ms	(/ (* x y) (* z c))

series163.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(* 9.0 (/ (* x y) (* z c)))
28.0ms	(/ b (* z c))
35.0ms	(/ (* t a) c)
36.0ms	(/ (* x y) (* z c))

simplify1.3s

Counts

116 → 116

Iterations

Iter	Nodes
done	5013
2	1934
1	436
0	172

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize66.0ms

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))

rewrite95.0ms

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:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
16.0ms	(/ b (* z c))
12.0ms	(/ t (/ c a))
14.0ms	(/ (* x y) (* z c))

series191.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* 9.0 (/ (* x y) (* z c)))
35.0ms	(/ b (* z c))
40.0ms	(/ t (/ c a))
55.0ms	(/ (* x y) (* z c))

simplify1.9s

Counts

165 → 165

Iterations

Iter	Nodes
done	5362
2	2479
1	681
0	272

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize51.0ms

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))

rewrite89.0ms

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:

16.0ms	(/ b (* z c))
18.0ms	(/ t (/ c a))
21.0ms	(/ (* z c) y)
24.0ms	(/ x (/ (* z c) y))

series138.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(/ b (* z c))
32.0ms	(/ t (/ c a))
26.0ms	(/ (* z c) y)
50.0ms	(/ x (/ (* z c) y))

simplify1.5s

Counts

184 → 184

Iterations

Iter	Nodes
done	5007
2	2584
1	752
0	309

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes2.5s

Accuracy

66.2% (3.2b remaining)

Error of 3.3b against oracle of 0.0b and baseline of 9.5b

bsearch5.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	75
1	75
0	57

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.8s

12941×

body

valid