Details

sample45.0ms

Algorithm

intervals

Results

17.0ms

410×

body

valid

simplify130.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	9
1	94	9
2	287	9
3	741	9
4	1662	9
5	4195	9
6	5001	9
done	5001	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 25.7b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.7b	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
6.4b	(* (* (* z 4.0) t) a)
21.8b	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
18×	`pow1`
12×	`*-un-lft-identity`
10×	`prod-exp` `cbrt-unprod`
9×	`pow-prod-down`
8×	`add-sqr-sqrt` `add-cube-cbrt`
6×	`associate-r` `add-log-exp`
4×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-l` `*-commutative` `associate-/l/` `distribute-lft-out`
1×	`associate-+l-` `sub-neg` `flip3--` `frac-2neg` `flip3-+` `diff-log` `div-sub` `clear-num` `associate-/r*` `flip--` `flip-+` `div-inv`

Counts

4 → 77

Calls

4 calls:

18.0ms	(* (* x 9.0) y)
18.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
55.0ms	(* (* (* z 4.0) t) a)
191.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

series335.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 9.0) y)
79.0ms	(- (* (* x 9.0) y) (* (* (* z 4.0) t) a))
31.0ms	(* (* (* z 4.0) t) a)
203.0ms	(/ (+ (- (* (* x 9.0) y) (* (* (* z 4.0) t) a)) b) (* z c))

simplify71.0ms

Counts

89 → 89

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	491	675
1	2345	574
2	5002	574
done	5002	574

prune245.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 8.3b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.9b	(/ b (* z c))
6.2b	(/ (* a t) c)
12.5b	(/ (* x y) (* z c))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

30.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ b (* z c))
10.0ms	(/ (* a t) c)
13.0ms	(/ (* x y) (* z c))

series115.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* 9.0 (/ (* x y) (* z c)))
21.0ms	(/ b (* z c))
20.0ms	(/ (* a t) c)
30.0ms	(/ (* x y) (* z c))

simplify57.0ms

Counts

104 → 104

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	420	503
1	2365	384
2	5002	384
done	5002	384

prune268.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

5.4b	(/ (* z c) y)
5.9b	(/ b (* z c))
6.2b	(/ (* a t) c)
8.7b	(/ x (/ (* z c) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

10.0ms	(/ (* z c) y)
10.0ms	(/ b (* z c))
9.0ms	(/ (* a t) c)
10.0ms	(/ x (/ (* z c) y))

series99.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (* z c) y)
25.0ms	(/ b (* z c))
20.0ms	(/ (* a t) c)
33.0ms	(/ x (/ (* z c) y))

simplify55.0ms

Counts

123 → 123

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	457	568
1	2237	494
2	5001	494
done	5001	494

prune398.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize16.0ms

Local error

Found 4 expressions with local error:

5.1b	(* (/ x (* z c)) y)
5.9b	(/ b (* z c))
6.2b	(/ (* a t) c)
6.4b	(/ x (* z c))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

24.0ms	(* (/ x (* z c)) y)
8.0ms	(/ b (* z c))
12.0ms	(/ (* a t) c)
8.0ms	(/ x (* z c))

series99.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* (/ x (* z c)) y)
21.0ms	(/ b (* z c))
23.0ms	(/ (* a t) c)
22.0ms	(/ x (* z c))

simplify46.0ms

Counts

102 → 102

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	365	399
1	1720	325
2	5001	325
done	5001	325

prune264.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

regimes700.0ms

Accuracy

-5.9% (10.9b remaining)

Error of 11.1b against oracle of 0.2b and baseline of 10.5b

bsearch144.0ms

Steps

Iters	Range		Point
8	8.858771852230242e-49	1.472080313000923e-44	1.6397415568949738e-48
9	1.2603788069337002e-250	1.0253973940637238e-243	9.072552239083735e-244

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	33
1	57	33
done	57	33

end0.0ms

sample1.2s

Algorithm

intervals

Results

551.0ms

12833×

body

valid