Details

sample69.0ms

Algorithm

intervals

Results

34.0ms

456×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: done (3.0s)

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: 7.7b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* x 9.0) b)
0.2b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
3.4b	(/ (fma y (* x 9.0) b) z)
11.3b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite114.0ms

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 y (* x 9.0) b)
40.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
5.0ms	(/ (fma y (* x 9.0) b) z)
61.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series666.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(fma y (* x 9.0) b)
240.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
93.0ms	(/ (fma y (* x 9.0) b) z)
292.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

123 → 123

Iterations

Useful iterations: done (1.3s)

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

prune725.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.4b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
5.9b	(/ (* (* a 4.0) t) c)
6.1b	(/ b (* z c))
8.7b	(/ (* x y) (* z c))

rewrite72.0ms

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:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
23.0ms	(/ (* (* a 4.0) t) c)
9.0ms	(/ b (* z c))
36.0ms	(/ (* x y) (* z c))

series267.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
51.0ms	(/ (* (* a 4.0) t) c)
44.0ms	(/ b (* z c))
42.0ms	(/ (* x y) (* z c))

simplify1.3s

Counts

93 → 93

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	163	1010
1	421	986
2	2348	812
done	5000	808

prune422.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
6.1b	(/ b (* z c))
7.3b	(/ (* a 4.0) (/ c t))
8.7b	(/ (* x y) (* z c))

rewrite47.0ms

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:

1.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
12.0ms	(/ b (* z c))
15.0ms	(/ (* a 4.0) (/ c t))
14.0ms	(/ (* x y) (* z c))

series263.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
31.0ms	(/ b (* z c))
36.0ms	(/ (* a 4.0) (/ c t))
60.0ms	(/ (* x y) (* z c))

simplify1.6s

Counts

116 → 116

Iterations

Useful iterations: done (1.6s)

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

prune500.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.5b	(* (/ a c) (* 4.0 t))
6.1b	(/ b (* z c))
8.7b	(/ (* x y) (* z c))

rewrite81.0ms

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-l*`
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)))
41.0ms	(* (/ a c) (* 4.0 t))
9.0ms	(/ b (* z c))
26.0ms	(/ (* x y) (* z c))

series224.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
36.0ms	(* (/ a c) (* 4.0 t))
32.0ms	(/ b (* z c))
38.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts

103 → 103

Iterations

Useful iterations: 2 (363.0ms)

Iter	Nodes	Cost
0	174	1094
1	448	1072
2	2018	872
done	5000	872

prune501.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes1.3s

Accuracy

70.4% (3.3b remaining)

Error of 3.4b against oracle of 0.1b and baseline of 11.2b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	188
1	64	188
done	64	188

end0.0ms

sample3.4s

Algorithm

intervals

Results

2.0s

12668×

body

valid