Details

sample49.0ms

Algorithm

intervals

Results

18.0ms

415×

body

valid

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.8s)

Iter	Nodes	Cost
0	18	19
1	38	19
2	100	19
3	319	18
4	853	18
5	1819	18
6	3993	16
done	5000	16

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 5.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* x 9.0) b)
0.7b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
1.7b	(/ (fma y (* x 9.0) b) z)
10.0b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite94.0ms

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:

0.0ms	(fma y (* x 9.0) b)
29.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
5.0ms	(/ (fma y (* x 9.0) b) z)
56.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series456.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(fma y (* x 9.0) b)
181.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
68.0ms	(/ (fma y (* x 9.0) b) z)
170.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify907.0ms

Counts

123 → 123

Iterations

Useful iterations: done (898.0ms)

Iter	Nodes	Cost
0	170	2305
1	378	2243
2	1266	2063
done	5001	1986

prune473.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 4.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
5.4b	(/ (* (* a 4.0) t) c)
6.3b	(/ b (* z c))
8.3b	(/ (* x y) (* z c))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-exp-log` `add-cbrt-cube`
9×	`cbrt-undiv` `div-exp`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
7×	`times-frac`
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 → 81

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
22.0ms	(/ (* (* a 4.0) t) c)
9.0ms	(/ b (* z c))
14.0ms	(/ (* x y) (* z c))

series186.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
30.0ms	(/ (* (* a 4.0) t) c)
23.0ms	(/ b (* z c))
37.0ms	(/ (* x y) (* z c))

simplify839.0ms

Counts

93 → 93

Iterations

Useful iterations: 2 (215.0ms)

Iter	Nodes	Cost
0	163	1010
1	401	986
2	1907	802
done	5000	802

prune324.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
5.1b	(/ (* a 4.0) (/ c t))
6.3b	(/ b (* z c))
8.3b	(/ (* x y) (* z c))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 104

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
15.0ms	(/ (* a 4.0) (/ c t))
9.0ms	(/ b (* z c))
15.0ms	(/ (* x y) (* z c))

series191.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
32.0ms	(/ (* a 4.0) (/ c t))
23.0ms	(/ b (* z c))
39.0ms	(/ (* x y) (* z c))

simplify929.0ms

Counts

116 → 116

Iterations

Useful iterations: 2 (283.0ms)

Iter	Nodes	Cost
0	215	1296
1	511	1246
2	2136	1046
done	5000	1046

prune426.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (* (/ 1 z) (/ b c)))
5.1b	(/ (* a 4.0) (/ c t))
6.1b	(* (/ 1 z) (/ b c))
8.3b	(/ (* x y) (* z c))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

57×	`times-frac`
50×	`add-exp-log`
49×	`add-sqr-sqrt`
40×	`add-cbrt-cube`
34×	`*-un-lft-identity`
32×	`add-cube-cbrt`
18×	`div-exp`
14×	`cbrt-undiv` `prod-exp` `associate-/r*`
13×	`associate-r` `associate-l`
10×	`cbrt-unprod`
6×	`pow1` `div-inv` `unswap-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l*`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `associate-/r/` `*-commutative` `fma-udef`

Counts

4 → 139

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (* (/ 1 z) (/ b c)))
15.0ms	(/ (* a 4.0) (/ c t))
27.0ms	(* (/ 1 z) (/ b c))
15.0ms	(/ (* x y) (* z c))

series185.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(fma (/ (* x y) (* z c)) 9.0 (* (/ 1 z) (/ b c)))
32.0ms	(/ (* a 4.0) (/ c t))
22.0ms	(* (/ 1 z) (/ b c))
34.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

151 → 151

Iterations

Useful iterations: 2 (404.0ms)

Iter	Nodes	Cost
0	287	1772
1	736	1581
2	2809	1317
done	5002	1317

prune507.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 0.0b

regimes1.0s

Accuracy

27% (8.2b remaining)

Error of 8.8b against oracle of 0.6b and baseline of 11.9b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	153
1	65	153
done	65	153

end0.0ms

sample1.4s

Algorithm

intervals

Results

588.0ms

12726×

body

valid