Details

sample31.0ms

Algorithm

intervals

Results

12.0ms

326×

body

valid

simplify154.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	110
9	110
8	108
7	102
6	87
5	73
4	58
3	39
2	25
1	15
0	10

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.8b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
3.6b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite224.0ms

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/` `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 → 89

Calls

3 calls:

17.0ms	(/ t (- 1.0 z))
39.0ms	(- (/ y z) (/ t (- 1.0 z)))
162.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series155.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ t (- 1.0 z))
44.0ms	(- (/ y z) (/ t (- 1.0 z)))
61.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify762.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
2	1405
1	420
0	170

prune491.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.4b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- 1.0 z))
0.0b	(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b	(* t (/ 1 (- 1.0 z)))
3.6b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
26×	`add-cube-cbrt`
24×	`associate-r`
19×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`associate-*r/` `distribute-lft-out--` `difference-of-squares`
6×	`associate-l` `add-log-exp`
5×	`associate-/r*` `prod-exp`
4×	`flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`distribute-rgt-in` `cbrt-undiv` `rec-exp` `distribute-lft-in` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`clear-num` `frac-2neg` `diff-log` `pow-flip` `inv-pow`

Counts

4 → 125

Calls

4 calls:

19.0ms	(/ 1 (- 1.0 z))
30.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
39.0ms	(* t (/ 1 (- 1.0 z)))
54.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series227.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ 1 (- 1.0 z))
51.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
59.0ms	(* t (/ 1 (- 1.0 z)))
75.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.0s

Counts

137 → 137

Iterations

Iter	Nodes
done	5000
2	2198
1	532
0	208

prune673.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.5b	(/ 1 (/ (- 1.0 z) t))
3.6b	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite447.0ms

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`
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 → 202

Calls

4 calls:

16.0ms	(/ (- 1.0 z) t)
85.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
14.0ms	(/ 1 (/ (- 1.0 z) t))
314.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series221.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ (- 1.0 z) t)
53.0ms	(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
34.0ms	(/ 1 (/ (- 1.0 z) t))
77.0ms	(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify1.4s

Counts

214 → 214

Iterations

Iter	Nodes
done	5000
2	3777
1	859
0	308

prune1.2s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- 1.0 z) t)
0.0b	(+ (* (/ y z) x) (/ (* x -1) (/ (- 1.0 z) t)))
2.2b	(/ (* x -1) (/ (- 1.0 z) t))
6.3b	(* (/ y z) x)

rewrite89.0ms

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-l`
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`
3×	`associate-r`
2×	`clear-num` `frac-2neg` `associate-*l/` `unswap-sqr` `associate-/l/`
1×	`+-commutative` `sum-log` `flip3-+` `flip3--` `div-sub` `pow-prod-down` `frac-add` `associate-/r/` `*-commutative` `flip-+` `flip--`

Counts

4 → 140

Calls

4 calls:

22.0ms	(/ (- 1.0 z) t)
29.0ms	(+ (* (/ y z) x) (/ (* x -1) (/ (- 1.0 z) t)))
16.0ms	(/ (* x -1) (/ (- 1.0 z) t))
18.0ms	(* (/ y z) x)

series246.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ (- 1.0 z) t)
88.0ms	(+ (* (/ y z) x) (/ (* x -1) (/ (- 1.0 z) t)))
78.0ms	(/ (* x -1) (/ (- 1.0 z) t))
22.0ms	(* (/ y z) x)

simplify2.3s

Counts

152 → 152

Iterations

Iter	Nodes
done	5001
2	4099
1	742
0	261

prune750.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes375.0ms

Accuracy

-13.2% (5.1b remaining)

Error of 5.2b against oracle of 0.0b and baseline of 4.6b

bsearch37.0ms

Steps

Iters	Range		Point
5	-3.429403600167912e-254	-1.2769153513311889e-254	-1.2969996237036978e-254

simplify9.0ms

Iterations

Iter	Nodes
done	35
3	35
2	33
1	32
0	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

617.0ms

10164×

body

valid