Details

sample34.0ms

Algorithm

intervals

Results

13.0ms

337×

body

valid

simplify70.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	15	11
2	25	11
3	38	11
4	56	11
5	72	11
6	85	11
7	99	11
8	105	11
9	107	11
done	107	11

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 5.4b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(- (/ y z) (/ t (- 1.0 z)))
5.1b	(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite57.0ms

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-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r*` `add-log-exp`
3×	`sub-neg` `flip3--` `associate-r/` `associate-l` `flip--` `associate-/l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-/r/` `frac-sub`
1×	`cbrt-undiv` `frac-2neg` `diff-log` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 89

Calls

3 calls:

6.0ms	(/ t (- 1.0 z))
18.0ms	(- (/ y z) (/ t (- 1.0 z)))
29.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

series34.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(/ t (- 1.0 z))
9.0ms	(- (/ y z) (/ t (- 1.0 z)))
18.0ms	(* x (- (/ y z) (/ t (- 1.0 z))))

simplify721.0ms

Counts

98 → 98

Iterations

Useful iterations: done (718.0ms)

Iter	Nodes	Cost
0	171	1300
1	397	1251
2	1071	1172
3	2794	1153
done	5001	1152

prune175.0ms

Filtered

71 candidates to 98 candidates (-38.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	87	11	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	87	12	99

Merged error: 0.4b

Counts

99 → 12

localize10.0ms

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)))
5.1b	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite38.0ms

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×	`prod-exp` `associate-/r*`
4×	`flip3--` `div-exp` `associate-/r/` `frac-sub` `flip--` `unswap-sqr`
3×	`sub-neg` `un-div-inv` `cbrt-unprod` `associate-/l*`
2×	`cbrt-undiv` `distribute-rgt-in` `rec-exp` `distribute-lft-in` `1-exp` `pow-prod-down` `*-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `diff-log` `clear-num` `inv-pow`

Counts

4 → 125

Calls

4 calls:

6.0ms	(/ 1 (- 1.0 z))
7.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
11.0ms	(* t (/ 1 (- 1.0 z)))
9.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series41.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1 (- 1.0 z))
10.0ms	(- (/ y z) (* t (/ 1 (- 1.0 z))))
6.0ms	(* t (/ 1 (- 1.0 z)))
23.0ms	(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.1s

Counts

137 → 137

Iterations

Useful iterations: 3 (514.0ms)

Iter	Nodes	Cost
0	209	1748
1	507	1484
2	1524	1304
3	4508	1288
done	5000	1288

prune187.0ms

Filtered

85 candidates to 137 candidates (-61.2%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	136	1	137
Fresh	0	10	10
Picked	0	1	1
Done	1	0	1
Total	137	12	149

Merged error: 0.4b

Counts

149 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* x y) z) (* (neg (/ t (- 1.0 z))) x))
0.0b	(/ t (- 1.0 z))
3.3b	(/ (* x y) z)
3.4b	(* (neg (/ t (- 1.0 z))) x)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
48×	`times-frac`
46×	`associate-l`
36×	`add-cube-cbrt`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`add-exp-log` `add-cbrt-cube`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`associate-/r*`
6×	`pow1` `associate-/r/` `add-log-exp`
4×	`div-inv` `associate-/l*`
3×	`cbrt-undiv` `distribute-lft-neg-out` `flip3--` `div-exp` `associate-r` `flip--`
2×	`frac-2neg` `associate-*l/` `prod-exp` `clear-num` `cbrt-unprod` `distribute-neg-frac`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `pow-prod-down` `frac-add` `sum-log` `*-commutative` `flip-+` `unswap-sqr`

Counts

4 → 135

Calls

4 calls:

6.0ms	(+ (/ (* x y) z) (* (neg (/ t (- 1.0 z))) x))
11.0ms	(/ t (- 1.0 z))
5.0ms	(/ (* x y) z)
14.0ms	(* (neg (/ t (- 1.0 z))) x)

series44.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(+ (/ (* x y) z) (* (neg (/ t (- 1.0 z))) x))
7.0ms	(/ t (- 1.0 z))
5.0ms	(/ (* x y) z)
12.0ms	(* (neg (/ t (- 1.0 z))) x)

simplify596.0ms

Counts

147 → 147

Iterations

Useful iterations: done (592.0ms)

Iter	Nodes	Cost
0	253	1635
1	642	1552
2	2159	1456
done	5000	1448

prune227.0ms

Filtered

116 candidates to 147 candidates (-26.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	142	5	147
Fresh	7	3	10
Picked	1	0	1
Done	0	1	1
Total	150	9	159

Merged error: 0.0b

Counts

159 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ t (- 1.0 z))
0.0b	(+ (* (* x y) (/ 1 z)) (* (neg (/ t (- 1.0 z))) x))
3.4b	(* (neg (/ t (- 1.0 z))) x)
3.4b	(* (* x y) (/ 1 z))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

63×	`add-sqr-sqrt`
61×	`*-un-lft-identity`
54×	`times-frac`
47×	`associate-l`
41×	`add-cube-cbrt`
30×	`add-exp-log`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
20×	`add-cbrt-cube`
16×	`associate-r`
13×	`prod-exp`
11×	`pow1`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`associate-/r/` `add-log-exp`
5×	`div-exp` `associate-/r*`
4×	`pow-prod-down` `div-inv`
3×	`cbrt-undiv` `distribute-lft-neg-out` `flip3--` `associate-l/` `flip--` `distribute-neg-frac` `associate-/l`
2×	`rec-exp` `1-exp` `associate-r/` `frac-add` `un-div-inv` `-commutative`
1×	`+-commutative` `neg-mul-1` `frac-2neg` `flip3-+` `unsub-neg` `clear-num` `sum-log` `flip-+` `unswap-sqr`

Counts

4 → 153

Calls

4 calls:

6.0ms	(/ t (- 1.0 z))
8.0ms	(+ (* (* x y) (/ 1 z)) (* (neg (/ t (- 1.0 z))) x))
14.0ms	(* (neg (/ t (- 1.0 z))) x)
8.0ms	(* (* x y) (/ 1 z))

series43.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(/ t (- 1.0 z))
19.0ms	(+ (* (* x y) (/ 1 z)) (* (neg (/ t (- 1.0 z))) x))
13.0ms	(* (neg (/ t (- 1.0 z))) x)
5.0ms	(* (* x y) (/ 1 z))

simplify781.0ms

Counts

165 → 165

Iterations

Useful iterations: done (777.0ms)

Iter	Nodes	Cost
0	289	1917
1	781	1731
2	2807	1558
done	5000	1529

prune197.0ms

Filtered

119 candidates to 165 candidates (-38.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	164	1	165
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	164	10	174

Merged error: 0.0b

Counts

174 → 10

regimes333.0ms

Accuracy

23.3% (4.3b remaining)

Error of 4.4b against oracle of 0.0b and baseline of 5.7b

bsearch33.0ms

Steps

Iters	Range		Point
9	-1.2665895314374342e-101	-9.934403269908514e-107	-2.7474020975263513e-102

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	34
1	31	34
2	34	34
3	35	34
done	35	34

end0.0ms

sample906.0ms

Algorithm

intervals

Results

386.0ms

10092×

body

valid

Details

sample34.0ms

simplify70.0ms

prune3.0ms

localize8.0ms

rewrite57.0ms

series34.0ms

simplify721.0ms

prune175.0ms

localize10.0ms

rewrite38.0ms

series41.0ms

simplify1.1s

prune187.0ms

localize10.0ms

rewrite42.0ms

series44.0ms

simplify596.0ms

prune227.0ms

localize11.0ms

rewrite47.0ms

series43.0ms

simplify781.0ms

prune197.0ms

regimes333.0ms

bsearch33.0ms

simplify4.0ms

end0.0ms

sample906.0ms

Profiling