Details

sample100.0ms

Algorithm

intervals

Results

47.0ms

416×

body

valid

simplify5.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1687
4	807
3	298
2	98
1	38
0	18

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* 9.0 x) y b)
0.2b	(- (/ (fma (* 9.0 x) y b) z) (* (* 4.0 a) t))
2.0b	(/ (fma (* 9.0 x) y b) z)
8.9b	(/ (- (/ (fma (* 9.0 x) y b) z) (* (* 4.0 a) t)) c)

rewrite180.0ms

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:

1.0ms	(fma (* 9.0 x) y b)
53.0ms	(- (/ (fma (* 9.0 x) y b) z) (* (* 4.0 a) t))
10.0ms	(/ (fma (* 9.0 x) y b) z)
109.0ms	(/ (- (/ (fma (* 9.0 x) y b) z) (* (* 4.0 a) t)) c)

series1.5s

Counts

4 → 12

Calls

4 calls:

126.0ms	(fma (* 9.0 x) y b)
413.0ms	(- (/ (fma (* 9.0 x) y b) z) (* (* 4.0 a) t))
105.0ms	(/ (fma (* 9.0 x) y b) z)
876.0ms	(/ (- (/ (fma (* 9.0 x) y b) z) (* (* 4.0 a) t)) c)

simplify4.6s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1299
1	384
0	170

prune2.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.7b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.8b	(/ (* t a) c)
5.1b	(/ b (* z c))
9.8b	(/ (* x y) (* z c))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

52.0ms	(* 9.0 (/ (* x y) (* z c)))
21.0ms	(/ (* t a) c)
19.0ms	(/ b (* z c))
37.0ms	(/ (* x y) (* z c))

series219.0ms

Counts

4 → 12

Calls

4 calls:

85.0ms	(* 9.0 (/ (* x y) (* z c)))
41.0ms	(/ (* t a) c)
39.0ms	(/ b (* z c))
54.0ms	(/ (* x y) (* z c))

simplify3.5s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	1898
1	432
0	168

prune1.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize97.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ x (/ (* z c) y))
4.8b	(/ (* t a) c)
5.1b	(/ b (* z c))
5.3b	(/ (* z c) y)

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 119

Calls

4 calls:

24.0ms	(/ x (/ (* z c) y))
141.0ms	(/ (* t a) c)
17.0ms	(/ b (* z c))
24.0ms	(/ (* z c) y)

series190.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(/ x (/ (* z c) y))
37.0ms	(/ (* t a) c)
37.0ms	(/ b (* z c))
38.0ms	(/ (* z c) y)

simplify2.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5003
2	1995
1	510
0	206

prune2.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize75.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ x (/ (* z c) y))
5.1b	(/ b (* z c))
5.2b	(* t (/ a c))
5.3b	(/ (* z c) y)

rewrite177.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
37×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
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` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative`

Counts

4 → 130

Calls

4 calls:

76.0ms	(/ x (/ (* z c) y))
26.0ms	(/ b (* z c))
33.0ms	(* t (/ a c))
37.0ms	(/ (* z c) y)

series183.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(/ x (/ (* z c) y))
41.0ms	(/ b (* z c))
36.0ms	(* t (/ a c))
35.0ms	(/ (* z c) y)

simplify2.8s

Counts

142 → 142

Iterations

Iter	Nodes
done	5012
2	2117
1	559
0	225

prune2.1s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes3.1s

Accuracy

39% (5.9b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 9.8b

bsearch5.0ms

simplify24.0ms

Iterations

Iter	Nodes
done	60
1	60
0	46

end0.0ms

sample5.0s

Algorithm

intervals

Results

3.9s

12880×

body

valid