Details

sample55.0ms

Algorithm

intervals

Results

23.0ms

373×

body

valid

simplify5.5s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	26	13
2	89	13
3	278	13
4	743	13
5	1598	13
6	2044	13
7	2153	13
8	2159	13
done	2159	13

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* z 9.0) t)
0.5b	(- (* x y) (* (* z 9.0) t))
5.8b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-exp-log` `add-cbrt-cube`
8×	`pow1`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
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×	`sub-neg` `frac-2neg` `diff-log` `div-sub` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

38.0ms	(* (* z 9.0) t)
8.0ms	(- (* x y) (* (* z 9.0) t))
36.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series219.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(* (* z 9.0) t)
94.0ms	(- (* x y) (* (* z 9.0) t))
92.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.1s

Counts

63 → 63

Iterations

Useful iterations: 2 (248.0ms)

Iter	Nodes	Cost
0	116	858
1	328	827
2	1585	711
done	5000	711

prune188.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.2b	(* z (* t 9.0))
0.5b	(- (* x y) (* z (* t 9.0)))
5.8b	(/ (- (* x y) (* z (* t 9.0))) (* a 2.0))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

16.0ms	(* z (* t 9.0))
9.0ms	(- (* x y) (* z (* t 9.0)))
31.0ms	(/ (- (* x y) (* z (* t 9.0))) (* a 2.0))

series157.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(* z (* t 9.0))
58.0ms	(- (* x y) (* z (* t 9.0)))
77.0ms	(/ (- (* x y) (* z (* t 9.0))) (* a 2.0))

simplify1.0s

Counts

63 → 63

Iterations

Useful iterations: 2 (171.0ms)

Iter	Nodes	Cost
0	114	855
1	314	826
2	1323	710
done	5000	710

prune254.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b	(* 4.5 (/ (* t z) a))
3.9b	(/ (* t z) a)
5.3b	(/ (* x y) a)

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

29.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
31.0ms	(* 4.5 (/ (* t z) a))
10.0ms	(/ (* t z) a)
13.0ms	(/ (* x y) a)

series207.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
34.0ms	(* 4.5 (/ (* t z) a))
21.0ms	(/ (* t z) a)
22.0ms	(/ (* x y) a)

simplify1.3s

Counts

95 → 95

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	144	1055
1	404	1008
2	2150	896
done	5000	874

prune297.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
0.2b	(* (* z 9.0) t)
4.0b	(/ (* (* z 9.0) t) (* a 2.0))
5.3b	(/ (* x y) (* a 2.0))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-exp-log` `add-cbrt-cube`
16×	`prod-exp` `cbrt-unprod`
10×	`cbrt-undiv` `div-exp`
9×	`pow1`
7×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-log-exp`
5×	`add-cube-cbrt`
4×	`div-inv`
3×	`associate-r` `pow-prod-down`
2×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `associate-/l`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `difference-of-squares`

Counts

4 → 81

Calls

4 calls:

47.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
28.0ms	(* (* z 9.0) t)
44.0ms	(/ (* (* z 9.0) t) (* a 2.0))
19.0ms	(/ (* x y) (* a 2.0))

series247.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
28.0ms	(* (* z 9.0) t)
40.0ms	(/ (* (* z 9.0) t) (* a 2.0))
44.0ms	(/ (* x y) (* a 2.0))

simplify2.0s

Counts

93 → 93

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	149	1327
1	452	1256
2	3184	1050
done	5001	1024

prune289.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.5b

regimes808.0ms

Accuracy

43.2% (4.1b remaining)

Error of 4.6b against oracle of 0.5b and baseline of 7.7b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	35	61
1	46	59
done	46	59

end0.0ms

sample1.7s

Algorithm

intervals

Results

777.0ms

11164×

body

valid