Details

sample75.0ms

Algorithm

intervals

Results

38.0ms

411×

body

valid

simplify2.9s

Counts

1 → 1

Iterations

Useful iterations: done (2.9s)

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

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* x 9.0) b)
0.3b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
1.8b	(/ (fma y (* x 9.0) b) z)
11.5b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite116.0ms

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)
35.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
8.0ms	(/ (fma y (* x 9.0) b) z)
69.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series504.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma y (* x 9.0) b)
184.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
88.0ms	(/ (fma y (* x 9.0) b) z)
192.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.1s

Counts

123 → 123

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	170	2305
1	387	2243
2	1744	2065
done	5001	2006

prune707.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.4b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.9b	(/ b (* z c))
5.7b	(/ (* (* a 4.0) t) c)
8.9b	(/ (* x y) (* z c))

rewrite67.0ms

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)))
8.0ms	(/ b (* z c))
43.0ms	(/ (* (* a 4.0) t) c)
13.0ms	(/ (* x y) (* z c))

series242.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
35.0ms	(/ b (* z c))
52.0ms	(/ (* (* a 4.0) t) c)
33.0ms	(/ (* x y) (* z c))

simplify1.0s

Counts

93 → 93

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	163	1010
1	420	986
2	2401	808
done	5000	808

prune467.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.9b	(/ b (* z c))
5.6b	(* (* a 4.0) (/ t c))
8.9b	(/ (* x y) (* z c))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
8.0ms	(/ b (* z c))
29.0ms	(* (* a 4.0) (/ t c))
13.0ms	(/ (* x y) (* z c))

series199.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
37.0ms	(/ b (* z c))
34.0ms	(* (* a 4.0) (/ t c))
31.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

103 → 103

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	178	1113
1	478	1081
2	2735	887
done	5000	879

prune515.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

0.2b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.9b	(/ b (* z c))
5.7b	(/ (* a 4.0) (/ c t))
8.9b	(/ (* x y) (* z c))

rewrite43.0ms

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)))
8.0ms	(/ b (* z c))
18.0ms	(/ (* a 4.0) (/ c t))
14.0ms	(/ (* x y) (* z c))

series221.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
27.0ms	(/ b (* z c))
36.0ms	(/ (* a 4.0) (/ c t))
49.0ms	(/ (* x y) (* z c))

simplify1.8s

Counts

116 → 116

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	215	1296
1	549	1254
2	3103	1058
done	5001	1054

prune598.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes943.0ms

Accuracy

23.9% (8.0b remaining)

Error of 8.1b against oracle of 0.1b and baseline of 10.7b

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	63	238
1	75	238
done	75	238

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.2s

12695×

body

valid