Details

sample124.0ms

Algorithm

intervals

Results

86.0ms

425×

body

valid

simplify2.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	1931
4	876
3	320
2	100
1	38
0	18

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma 9.0 (* y x) b) z) (* (* t a) 4.0))
0.1b	(fma 9.0 (* y x) b)
4.4b	(/ (fma 9.0 (* y x) b) z)
9.4b	(/ (- (/ (fma 9.0 (* y x) b) z) (* (* t a) 4.0)) c)

rewrite108.0ms

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:

24.0ms	(- (/ (fma 9.0 (* y x) b) z) (* (* t a) 4.0))
0.0ms	(fma 9.0 (* y x) b)
9.0ms	(/ (fma 9.0 (* y x) b) z)
73.0ms	(/ (- (/ (fma 9.0 (* y x) b) z) (* (* t a) 4.0)) c)

series726.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(- (/ (fma 9.0 (* y x) b) z) (* (* t a) 4.0))
78.0ms	(fma 9.0 (* y x) b)
146.0ms	(/ (fma 9.0 (* y x) b) z)
225.0ms	(/ (- (/ (fma 9.0 (* y x) b) z) (* (* t a) 4.0)) c)

simplify1.6s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
2	1373
1	394
0	174

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.8b

localize488.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ b (* z c))
6.7b	(/ (* a t) c)
11.9b	(/ (* x y) (* z c))

rewrite65.0ms

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:

30.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ b (* z c))
10.0ms	(/ (* a t) c)
14.0ms	(/ (* x y) (* z c))

series190.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(* 9.0 (/ (* x y) (* z c)))
41.0ms	(/ b (* z c))
26.0ms	(/ (* a t) c)
45.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

116 → 116

Iterations

Iter	Nodes
done	5142
2	1992
1	436
0	172

prune938.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

localize55.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ (* z c) y)
4.9b	(/ b (* z c))
6.4b	(/ x (/ (* z c) y))
6.7b	(/ (* a t) c)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 123

Calls

4 calls:

12.0ms	(/ (* z c) y)
15.0ms	(/ b (* z c))
14.0ms	(/ x (/ (* z c) y))
10.0ms	(/ (* a t) c)

series156.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(/ (* z c) y)
32.0ms	(/ b (* z c))
57.0ms	(/ x (/ (* z c) y))
28.0ms	(/ (* a t) c)

simplify1.4s

Counts

135 → 135

Iterations

Iter	Nodes
done	5001
2	2050
1	513
0	210

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize71.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ (* z c) y)
4.9b	(/ b (* z c))
5.0b	(* a (/ t c))
6.4b	(/ x (/ (* z c) y))

rewrite84.0ms

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:

29.0ms	(/ (* z c) y)
15.0ms	(/ b (* z c))
19.0ms	(* a (/ t c))
17.0ms	(/ x (/ (* z c) y))

series168.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ (* z c) y)
30.0ms	(/ b (* z c))
29.0ms	(* a (/ t c))
57.0ms	(/ x (/ (* z c) y))

simplify1.5s

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
2	2106
1	563
0	229

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

regimes1.8s

Accuracy

24.2% (7.2b remaining)

Error of 7.2b against oracle of 0.0b and baseline of 9.5b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	64
1	64
0	46

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.9s

13073×

body

valid