Details

sample35.0ms

Algorithm

intervals

Results

14.0ms

359×

body

valid

simplify5.0s

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.7b

localize30.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* (* z 9.0) t))
0.3b	(* (* z 9.0) t)
7.2b	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite51.0ms

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:

11.0ms	(- (* x y) (* (* z 9.0) t))
13.0ms	(* (* z 9.0) t)
24.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series189.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(- (* x y) (* (* z 9.0) t))
23.0ms	(* (* z 9.0) t)
103.0ms	(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1595
1	328
0	116

prune425.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.4b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* z (* 9.0 t)))
0.2b	(* z (* 9.0 t))
7.2b	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

rewrite54.0ms

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-l` `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-r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

9.0ms	(- (* x y) (* z (* 9.0 t)))
13.0ms	(* z (* 9.0 t))
30.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

series212.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(- (* x y) (* z (* 9.0 t)))
24.0ms	(* z (* 9.0 t))
116.0ms	(/ (- (* x y) (* z (* 9.0 t))) (* a 2.0))

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1276
1	316
0	114

prune351.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.4b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x y) (* 9.0 (* t z)))
0.2b	(* 9.0 (* t z))
7.2b	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

rewrite50.0ms

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-l` `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-r` `-commutative` `div-inv`

Counts

3 → 54

Calls

3 calls:

6.0ms	(- (* x y) (* 9.0 (* t z)))
22.0ms	(* 9.0 (* t z))
21.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

series229.0ms

Counts

3 → 9

Calls

3 calls:

79.0ms	(- (* x y) (* 9.0 (* t z)))
35.0ms	(* 9.0 (* t z))
115.0ms	(/ (- (* x y) (* 9.0 (* t z))) (* a 2.0))

simplify1.3s

Counts

63 → 63

Iterations

Iter	Nodes
done	5000
2	1197
1	309
0	111

prune537.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 7.4b

localize30.0ms

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))
4.7b	(/ (* x y) a)
5.7b	(/ (* t z) a)

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`associate-r`
6×	`pow1` `cbrt-undiv` `associate-/r*` `div-exp` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`associate-*r/`
3×	`associate-l` `div-inv`
2×	`clear-num` `frac-2neg` `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:

12.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
25.0ms	(* 4.5 (/ (* t z) a))
14.0ms	(/ (* x y) a)
13.0ms	(/ (* t z) a)

series305.0ms

Counts

4 → 12

Calls

4 calls:

192.0ms	(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
60.0ms	(* 4.5 (/ (* t z) a))
29.0ms	(/ (* x y) a)
24.0ms	(/ (* t z) a)

simplify1.8s

Counts

95 → 95

Iterations

Iter	Nodes
done	5000
2	2146
1	404
0	144

prune616.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes1.5s

Accuracy

33.9% (4.7b remaining)

Error of 5.1b against oracle of 0.4b and baseline of 7.5b

bsearch1.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	43
1	43
0	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

923.0ms

11099×

body

valid