Details

sample99.0ms

Algorithm

intervals

Results

53.0ms

422×

body

valid

simplify5.6s

Counts

1 → 1

Iterations

Useful iterations: 6 (4.2s)

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: 6.5b

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma y (* x 9.0) b)
0.8b	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
2.3b	(/ (fma y (* x 9.0) b) z)
10.5b	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

rewrite130.0ms

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)
55.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
5.0ms	(/ (fma y (* x 9.0) b) z)
64.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

series585.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(fma y (* x 9.0) b)
254.0ms	(- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t))
81.0ms	(/ (fma y (* x 9.0) b) z)
210.0ms	(/ (- (/ (fma y (* x 9.0) b) z) (* (* a 4.0) t)) c)

simplify1.2s

Counts

123 → 123

Iterations

Useful iterations: done (1.2s)

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

prune677.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.9b

localize42.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
4.7b	(/ b (* z c))
6.0b	(/ (* (* a 4.0) t) c)
9.3b	(/ (* x y) (* z c))

rewrite79.0ms

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)))
9.0ms	(/ b (* z c))
42.0ms	(/ (* (* a 4.0) t) c)
26.0ms	(/ (* x y) (* z c))

series272.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
38.0ms	(/ b (* z c))
56.0ms	(/ (* (* a 4.0) t) c)
49.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: 2 (378.0ms)

Iter	Nodes	Cost
0	163	1010
1	401	986
2	1902	802
done	5000	802

prune407.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
3.6b	(/ (* a 4.0) (/ c t))
4.7b	(/ b (* z c))
9.3b	(/ (* x y) (* z c))

rewrite52.0ms

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)))
25.0ms	(/ (* a 4.0) (/ c t))
8.0ms	(/ b (* z c))
13.0ms	(/ (* x y) (* z c))

series257.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(fma (/ (* x y) (* z c)) 9.0 (/ b (* z c)))
43.0ms	(/ (* a 4.0) (/ c t))
24.0ms	(/ b (* z c))
51.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts

116 → 116

Iterations

Useful iterations: 2 (369.0ms)

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

prune611.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

3.6b	(/ (* a 4.0) (/ c t))
4.3b	(/ (* z c) y)
4.7b	(/ b (* z c))
5.9b	(/ x (/ (* z c) y))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

70×	`times-frac`
38×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
35×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/r*`
15×	`cbrt-undiv` `div-exp`
10×	`div-inv`
8×	`associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `add-log-exp`
2×	`associate-/r/`

Counts

4 → 144

Calls

4 calls:

25.0ms	(/ (* a 4.0) (/ c t))
20.0ms	(/ (* z c) y)
16.0ms	(/ b (* z c))
19.0ms	(/ x (/ (* z c) y))

series152.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(/ (* a 4.0) (/ c t))
35.0ms	(/ (* z c) y)
28.0ms	(/ b (* z c))
43.0ms	(/ x (/ (* z c) y))

simplify1.1s

Counts

156 → 156

Iterations

Useful iterations: 2 (447.0ms)

Iter	Nodes	Cost
0	272	1629
1	620	1557
2	2294	1367
done	5000	1367

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes414.0ms

Accuracy

35.7% (7.1b remaining)

Error of 7.2b against oracle of 0.1b and baseline of 11.1b

bsearch4.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	147
1	65	147
done	65	147

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.7s

12826×

body

valid