Details

sample120.0ms

Algorithm

intervals

Results

64.0ms

425×

body

valid

simplify3.5s

Counts

1 → 1

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	321	18
4	988	18
5	2636	18
done	5000	16

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.1b	(fma y (* x 9.0) b)
2.7b	(/ (fma y (* x 9.0) b) z)
9.4b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite101.0ms

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:

32.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
0.0ms	(fma y (* x 9.0) b)
5.0ms	(/ (fma y (* x 9.0) b) z)
60.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series728.0ms

Counts

4 → 12

Calls

4 calls:

275.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
64.0ms	(fma y (* x 9.0) b)
116.0ms	(/ (fma y (* x 9.0) b) z)
272.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	170	2305
1	388	2243
2	1758	2065
done	5001	2006

prune775.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.1b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.9b	(/ b (* z c))
4.9b	(/ (* t a) c)
9.2b	(/ (* x y) (* z c))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
8×	`cbrt-undiv` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `div-exp`
7×	`times-frac`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r` `associate-/l`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num` `div-inv`
1×	`fma-udef`

Counts

4 → 79

Calls

4 calls:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
15.0ms	(/ b (* z c))
20.0ms	(/ (* t a) c)
37.0ms	(/ (* x y) (* z c))

series248.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
40.0ms	(/ b (* z c))
31.0ms	(/ (* t a) c)
46.0ms	(/ (* x y) (* z c))

simplify1.0s

Counts

91 → 91

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	148	914
1	360	893
2	1891	741
done	5001	739

prune556.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.5b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.9b	(/ b (* z c))
5.4b	(/ t (/ c a))
9.2b	(/ (* x y) (* z c))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

79×	`times-frac`
48×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
26×	`add-exp-log` `add-cbrt-cube`
15×	`associate-/r*`
9×	`cbrt-undiv` `div-exp`
7×	`div-inv` `associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
1×	`associate-/r/` `fma-udef`

Counts

4 → 128

Calls

4 calls:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
17.0ms	(/ b (* z c))
19.0ms	(/ t (/ c a))
40.0ms	(/ (* x y) (* z c))

series301.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
26.0ms	(/ b (* z c))
49.0ms	(/ t (/ c a))
77.0ms	(/ (* x y) (* z c))

simplify1.7s

Counts

140 → 140

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	248	1608
1	606	1543
2	2868	1363
done	5000	1359

prune745.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.9b	(/ b (* z c))
5.3b	(* t (/ a c))
9.2b	(/ (* x y) (* z c))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
14×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`associate-r`
7×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`associate-l` `div-inv`
2×	`frac-2neg` `clear-num` `associate-/r*` `unswap-sqr`
1×	`associate-r/` `pow-prod-down` `-commutative` `fma-udef`

Counts

4 → 90

Calls

4 calls:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
15.0ms	(/ b (* z c))
15.0ms	(* t (/ a c))
14.0ms	(/ (* x y) (* z c))

series258.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
39.0ms	(/ b (* z c))
42.0ms	(* t (/ a c))
40.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

102 → 102

Iterations

Useful iterations: 2 (261.0ms)

Iter	Nodes	Cost
0	168	1005
1	416	978
2	1954	820
done	5000	820

prune479.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes1.2s

Accuracy

52.4% (5.1b remaining)

Error of 5.2b against oracle of 0.1b and baseline of 10.8b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	192
1	70	192
done	70	192

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.8s

12878×

body

valid