Details

sample108.0ms

Algorithm

intervals

Results

45.0ms

427×

body

valid

simplify2.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	2653
4	985
3	320
2	100
1	38
0	18

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.4b

localize34.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma (* x 9.0) y b)
0.3b	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
2.7b	(/ (fma (* x 9.0) y b) z)
11.1b	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
34×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
13×	`fma-neg` `prod-diff`
8×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`expm1-log1p-u` `pow1` `log1p-expm1-u` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `div-sub` `fma-udef`

Counts

4 → 111

Calls

4 calls:

0.0ms	(fma (* x 9.0) y b)
23.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
4.0ms	(/ (fma (* x 9.0) y b) z)
64.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

series566.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma (* x 9.0) y b)
199.0ms	(- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t))
81.0ms	(/ (fma (* x 9.0) y b) z)
243.0ms	(/ (- (/ (fma (* x 9.0) y b) z) (* (* a 4.0) t)) c)

simplify1.7s

Counts

123 → 123

Iterations

Iter	Nodes
done	5000
2	1668
1	388
0	170

prune1.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.2b

localize68.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.5b	(/ (* t a) c)
5.6b	(/ b (* z c))
11.4b	(/ (* x y) (* z c))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-cbrt-cube` `add-exp-log`
15×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `cbrt-undiv` `div-exp`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`times-frac`
6×	`pow1`
5×	`associate-/r` `associate-r` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 100

Calls

4 calls:

21.0ms	(* 9.0 (/ (* x y) (* z c)))
7.0ms	(/ (* t a) c)
11.0ms	(/ b (* z c))
27.0ms	(/ (* x y) (* z c))

series222.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(* 9.0 (/ (* x y) (* z c)))
43.0ms	(/ (* t a) c)
50.0ms	(/ b (* z c))
70.0ms	(/ (* x y) (* z c))

simplify1.8s

Counts

112 → 112

Iterations

Iter	Nodes
done	5000
2	2453
1	440
0	168

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ (* t a) c)
4.8b	(/ x (/ (* z c) y))
5.6b	(/ b (* z c))
5.6b	(/ (* z c) y)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 119

Calls

4 calls:

7.0ms	(/ (* t a) c)
8.0ms	(/ x (/ (* z c) y))
11.0ms	(/ b (* z c))
24.0ms	(/ (* z c) y)

series180.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (* t a) c)
65.0ms	(/ x (/ (* z c) y))
36.0ms	(/ b (* z c))
38.0ms	(/ (* z c) y)

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5000
2	2645
1	516
0	206

prune1.3s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

4.5b	(/ (* t a) c)
4.7b	(/ (/ (* z c) y) x)
5.6b	(/ b (* z c))
5.6b	(/ (* z c) y)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-cbrt-cube` `add-exp-log`
26×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`associate-/l*`
11×	`cbrt-undiv` `div-exp`
10×	`associate-/r*`
8×	`div-inv`
4×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`associate-/l/`

Counts

4 → 119

Calls

4 calls:

16.0ms	(/ (* t a) c)
17.0ms	(/ (/ (* z c) y) x)
12.0ms	(/ b (* z c))
8.0ms	(/ (* z c) y)

series166.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ (* t a) c)
66.0ms	(/ (/ (* z c) y) x)
25.0ms	(/ b (* z c))
30.0ms	(/ (* z c) y)

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
done	5002
2	2635
1	502
0	206

prune1.2s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 0.0b

regimes2.6s

Accuracy

53.3% (5.1b remaining)

Error of 5.2b against oracle of 0.1b and baseline of 11.0b

bsearch7.0ms

simplify32.0ms

Iterations

Iter	Nodes
done	75
1	75
0	56

end0.0ms

sample3.1s

Algorithm

intervals

Results

1.2s

12813×

body

valid