Details

sample52.0ms

Algorithm

intervals

Results

34.0ms

317×

body

valid

simplify164.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	108
9	108
8	105
7	99
6	85
5	73
4	58
3	39
2	25
1	15
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
4.5b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite123.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
45×	`*-un-lft-identity`
31×	`times-frac`
15×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-r`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-l` `associate-r/` `insert-posit16` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 92

Calls

3 calls:

13.0ms	(/ t (- 1.0 z))
30.0ms	(- (/ y z) (/ t (- 1.0 z)))
78.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series179.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ t (- 1.0 z))
44.0ms	(- (/ y z) (/ t (- 1.0 z)))
78.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify635.0ms

Counts

101 → 101

Iterations

Iter	Nodes
done	2001
2	1273
1	412
0	173

prune352.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.2b	(/ 1 (/ (- 1.0 z) t))
4.5b	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

172×	`add-sqr-sqrt`
170×	`times-frac`
126×	`*-un-lft-identity`
72×	`add-cube-cbrt`
36×	`difference-of-squares`
22×	`associate-/r*` `distribute-lft-out--`
19×	`add-exp-log`
16×	`associate-r`
13×	`add-cbrt-cube`
8×	`div-exp` `div-inv` `associate-/l*`
7×	`pow1`
6×	`add-log-exp`
4×	`cbrt-undiv` `insert-posit16`
3×	`sub-neg` `flip3--` `associate-l` `associate-*r/` `flip--`
2×	`distribute-rgt-in` `rec-exp` `clear-num` `frac-2neg` `distribute-lft-in` `1-exp` `frac-sub` `associate-/l/`
1×	`diff-log` `div-sub` `pow-prod-down` `prod-exp` `associate-/r/` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 206

Calls

4 calls:

10.0ms	(/ (- 1.0 z) t)
18.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
14.0ms	(/ 1 (/ (- 1.0 z) t))
99.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series189.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ (- 1.0 z) t)
44.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
42.0ms	(/ 1 (/ (- 1.0 z) t))
59.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify616.0ms

Counts

218 → 218

Iterations

Iter	Nodes
done	2001
1	846
0	312

prune736.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(+ (* x (/ y z)) (/ (* x -1) (/ (- 1.0 z) t)))
2.1b	(/ (* x -1) (/ (- 1.0 z) t))
7.1b	(* x (/ y z))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

74×	`times-frac`
65×	`add-sqr-sqrt`
60×	`*-un-lft-identity`
40×	`add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
22×	`associate-/r*`
13×	`associate-r`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`cbrt-undiv` `div-exp`
6×	`pow1` `associate-/l*` `add-log-exp`
5×	`div-inv`
4×	`prod-exp` `cbrt-unprod` `insert-posit16`
3×	`associate-l`
2×	`clear-num` `frac-2neg` `associate-*r/` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `div-sub` `pow-prod-down` `frac-add` `associate-/r/` `*-commutative` `flip-+` `flip--`

Counts

4 → 144

Calls

4 calls:

10.0ms	(/ (- 1.0 z) t)
20.0ms	(+ (* x (/ y z)) (/ (* x -1) (/ (- 1.0 z) t)))
13.0ms	(/ (* x -1) (/ (- 1.0 z) t))
8.0ms	(* x (/ y z))

series218.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ (- 1.0 z) t)
96.0ms	(+ (* x (/ y z)) (/ (* x -1) (/ (- 1.0 z) t)))
51.0ms	(/ (* x -1) (/ (- 1.0 z) t))
22.0ms	(* x (/ y z))

simplify575.0ms

Counts

156 → 156

Iterations

Iter	Nodes
done	2000
1	734
0	266

prune717.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(+ (/ (* x y) z) (/ (* x -1) (/ (- 1.0 z) t)))
2.1b	(/ (* x -1) (/ (- 1.0 z) t))
4.9b	(/ (* x y) z)

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
58×	`*-un-lft-identity`
54×	`add-sqr-sqrt`
34×	`add-cube-cbrt`
25×	`associate-/r*`
23×	`add-cbrt-cube` `add-exp-log`
10×	`distribute-lft-out--` `difference-of-squares`
9×	`cbrt-undiv` `div-exp`
7×	`associate-/l*`
6×	`add-log-exp`
5×	`div-inv`
4×	`pow1` `insert-posit16`
3×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod`
2×	`distribute-lft-out` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `div-sub` `frac-add` `associate-/r/` `flip-+` `flip--`

Counts

4 → 135

Calls

4 calls:

19.0ms	(/ (- 1.0 z) t)
21.0ms	(+ (/ (* x y) z) (/ (* x -1) (/ (- 1.0 z) t)))
13.0ms	(/ (* x -1) (/ (- 1.0 z) t))
8.0ms	(/ (* x y) z)

series241.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ (- 1.0 z) t)
101.0ms	(+ (/ (* x y) z) (/ (* x -1) (/ (- 1.0 z) t)))
70.0ms	(/ (* x -1) (/ (- 1.0 z) t))
33.0ms	(/ (* x y) z)

simplify466.0ms

Counts

147 → 147

Iterations

Iter	Nodes
done	2000
1	686
0	246

prune617.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

10.6% (4.9b remaining)

Error of 4.9b against oracle of 0.0b and baseline of 5.5b

bsearch23.0ms

Steps

Iters	Range		Point
3	-5.378629197162071e-298	-3.6805234087195684e-298	-4.11347096139749e-298

simplify5.0ms

Iterations

Iter	Nodes
done	31
3	31
2	29
1	28
0	21

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

10093×

body

valid