Details

sample117.0ms

Algorithm

intervals

Results

55.0ms

397×

body

valid

simplify9.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	4882
5	1433
4	655
3	253
2	89
1	37
0	18

prune56.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.5b

localize126.0ms

Local error

Found 4 expressions with local error:

0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
0.5b	(* (* x 9.0) y)
2.4b	(/ (+ b (* (* x 9.0) y)) z)
9.9b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite492.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`insert-posit16` `associate-/l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 93

Calls

4 calls:

125.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
56.0ms	(* (* x 9.0) y)
61.0ms	(/ (+ b (* (* x 9.0) y)) z)
244.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series795.0ms

Counts

4 → 12

Calls

4 calls:

293.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
44.0ms	(* (* x 9.0) y)
101.0ms	(/ (+ b (* (* x 9.0) y)) z)
357.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify3.3s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1523
1	462
0	186

prune2.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.9b

localize126.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ (* a t) c)
5.3b	(/ b (* z c))
9.4b	(/ (* x y) (* z c))

rewrite140.0ms

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×	`insert-posit16` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

54.0ms	(* 9.0 (/ (* x y) (* z c)))
23.0ms	(/ (* a t) c)
27.0ms	(/ b (* z c))
30.0ms	(/ (* x y) (* z c))

series181.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(* 9.0 (/ (* x y) (* z c)))
32.0ms	(/ (* a t) c)
34.0ms	(/ b (* z c))
44.0ms	(/ (* x y) (* z c))

simplify3.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5008
2	1912
1	429
0	164

prune2.3s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 0.5b

localize151.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.9b	(/ a (/ c t))
5.3b	(/ b (* z c))
9.4b	(/ (* x y) (* z c))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
44×	`add-cbrt-cube` `add-exp-log`
15×	`associate-/r*`
14×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

67.0ms	(* 9.0 (/ (* x y) (* z c)))
18.0ms	(/ a (/ c t))
23.0ms	(/ b (* z c))
50.0ms	(/ (* x y) (* z c))

series209.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(* 9.0 (/ (* x y) (* z c)))
41.0ms	(/ a (/ c t))
39.0ms	(/ b (* z c))
56.0ms	(/ (* x y) (* z c))

simplify4.5s

Counts

157 → 157

Iterations

Iter	Nodes
done	5024
2	2686
1	682
0	264

prune3.2s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.0b

localize230.0ms

Local error

Found 4 expressions with local error:

4.9b	(/ a (/ c t))
5.3b	(/ b (* z c))
5.5b	(/ (* z c) y)
6.8b	(/ x (/ (* z c) y))

rewrite122.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 164

Calls

4 calls:

29.0ms	(/ a (/ c t))
30.0ms	(/ b (* z c))
21.0ms	(/ (* z c) y)
27.0ms	(/ x (/ (* z c) y))

series178.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ a (/ c t))
56.0ms	(/ b (* z c))
28.0ms	(/ (* z c) y)
59.0ms	(/ x (/ (* z c) y))

simplify4.5s

Counts

176 → 176

Iterations

Iter	Nodes
done	5010
2	2567
1	745
0	301

prune3.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.0b

regimes6.4s

Accuracy

30.1% (7.1b remaining)

Error of 7.2b against oracle of 0.0b and baseline of 10.3b

bsearch393.0ms

Steps

Iters	Range		Point
10	2.5142609655791e-50	1.2914547719902283e-37	5.809570948300936e-42
9	-0.21096739287213784	-6.265930563867419e-07	-3.106524866606892e-06

simplify38.0ms

Iterations

Iter	Nodes
done	60
1	60
0	45

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.1s

12750×

body

valid