Details

sample54.0ms

Algorithm

intervals

Results

23.0ms

351×

body

valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	2126
8	2126
7	2120
6	2006
5	1561
4	743
3	278
2	89
1	26
0	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.8b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.3b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
5×	`add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`times-frac` `associate-r` `pow-prod-down` `associate-/l*`
2×	`cbrt-undiv` `flip3--` `div-exp` `flip--` `associate-/l/`
1×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

20.0ms	(- (* x y) (* (* z 9.0) t))
27.0ms	(* (* z 9.0) t)
35.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series255.0ms

Counts

3 → 9

Calls

3 calls:

99.0ms	(- (* x y) (* (* z 9.0) t))
38.0ms	(* (* z 9.0) t)
118.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify935.0ms

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1595
1	328
0	116

prune461.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.2b	(* (* z 9.0) t)
7.3b	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* 2.0 a)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-exp-log`
17×	`add-cbrt-cube`
13×	`prod-exp`
10×	`pow1` `associate-r`
9×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt` `cbrt-unprod`
5×	`add-log-exp`
4×	`div-exp` `associate-l` `pow-prod-down`
3×	`times-frac` `flip3--` `flip--`
2×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `-commutative`
1×	`sub-neg` `diff-log` `associate-*r/` `un-div-inv` `div-inv` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

6.0ms	(- (* x y) (* (* z 9.0) t))
14.0ms	(* (* z 9.0) t)
52.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* 2.0 a)))

series234.0ms

Counts

3 → 9

Calls

3 calls:

101.0ms	(- (* x y) (* (* z 9.0) t))
32.0ms	(* (* z 9.0) t)
101.0ms	(* (- (* x y) (* (* z 9.0) t)) (/ 1 (* 2.0 a)))

simplify1.1s

Counts

75 → 75

Iterations

Iter	Nodes
done	5000
2	2240
1	400
0	144

prune435.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* x y) (* (* t 9.0) z))
0.2b	(/ 1 (* (/ a (- (* x y) (* (* t 9.0) z))) 2.0))
0.4b	(* (* t 9.0) z)
7.3b	(/ a (- (* x y) (* (* t 9.0) z)))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`pow1` `times-frac`
10×	`div-exp`
9×	`prod-exp`
6×	`associate-/l*` `add-log-exp`
5×	`cbrt-undiv` `cbrt-unprod`
4×	`associate-/r*` `pow-prod-down`
3×	`rec-exp` `1-exp` `associate-r` `associate-/r/`
2×	`clear-num` `frac-2neg` `flip3--` `div-inv` `pow-flip` `flip--`
1×	`sub-neg` `diff-log` `associate-l` `associate-l/` `-commutative` `inv-pow`

Counts

4 → 92

Calls

4 calls:

12.0ms	(- (* x y) (* (* t 9.0) z))
44.0ms	(/ 1 (* (/ a (- (* x y) (* (* t 9.0) z))) 2.0))
26.0ms	(* (* t 9.0) z)
19.0ms	(/ a (- (* x y) (* (* t 9.0) z)))

series336.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (* x y) (* (* t 9.0) z))
167.0ms	(/ 1 (* (/ a (- (* x y) (* (* t 9.0) z))) 2.0))
22.0ms	(* (* t 9.0) z)
69.0ms	(/ a (- (* x y) (* (* t 9.0) z)))

simplify1.2s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	2098
1	433
0	167

prune560.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 9.0 z) t)
0.2b	(/ 1 (* (* a (/ 1 (- (* x y) (* (* 9.0 z) t)))) 2.0))
0.4b	(/ 1 (- (* x y) (* (* 9.0 z) t)))
6.9b	(* a (/ 1 (- (* x y) (* (* 9.0 z) t))))

rewrite212.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-exp-log`
34×	`prod-exp`
30×	`add-sqr-sqrt` `add-cbrt-cube`
24×	`*-un-lft-identity`
23×	`times-frac` `add-cube-cbrt`
22×	`div-exp`
18×	`pow1` `associate-r`
11×	`rec-exp` `1-exp`
10×	`cbrt-unprod`
7×	`cbrt-undiv` `pow-prod-down`
6×	`associate-/r/` `associate-/l*`
4×	`associate-/r` `associate-l*` `pow-flip` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `flip3--` `associate-l/` `associate-r/` `un-div-inv` `*-commutative` `flip--` `inv-pow`

Counts

4 → 134

Calls

4 calls:

20.0ms	(* (* 9.0 z) t)
127.0ms	(/ 1 (* (* a (/ 1 (- (* x y) (* (* 9.0 z) t)))) 2.0))
18.0ms	(/ 1 (- (* x y) (* (* 9.0 z) t)))
42.0ms	(* a (/ 1 (- (* x y) (* (* 9.0 z) t))))

series329.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (* 9.0 z) t)
175.0ms	(/ 1 (* (* a (/ 1 (- (* x y) (* (* 9.0 z) t)))) 2.0))
45.0ms	(/ 1 (- (* x y) (* (* 9.0 z) t)))
82.0ms	(* a (/ 1 (- (* x y) (* (* 9.0 z) t))))

simplify1.6s

Counts

146 → 146

Iterations

Iter	Nodes
done	5000
2	3148
1	593
0	203

prune792.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes897.0ms

Accuracy

42.3% (4.4b remaining)

Error of 4.4b against oracle of 0.0b and baseline of 7.7b

bsearch1.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	42
2	42
1	41
0	30

end0.0ms

sample2.0s

Algorithm

intervals

Results

787.0ms

11078×

body

valid