Details

sample42.0ms

Algorithm

intervals

Results

16.0ms

272×

body

valid

simplify222.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	17	9
2	25	9
3	49	9
4	70	9
5	100	9
6	117	9
7	132	9
8	142	9
9	147	9
done	147	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.1b	(* (/ (- x y) (- z y)) t)

rewrite157.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-l`
26×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log` `add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`pow1` `associate-/r/`
3×	`flip3--` `associate-r` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 102

Calls

2 calls:

47.0ms	(/ (- x y) (- z y))
100.0ms	(* (/ (- x y) (- z y)) t)

series203.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(/ (- x y) (- z y))
137.0ms	(* (/ (- x y) (- z y)) t)

simplify2.9s

Counts

108 → 108

Iterations

Useful iterations: 2 (218.0ms)

Iter	Nodes	Cost
0	143	1303
1	360	1269
2	963	1185
3	2888	1185
done	5000	1185

prune352.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- z y))
0.0b	(/ x (- z y))
0.0b	(- (/ x (- z y)) (/ y (- z y)))
2.1b	(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite577.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
80×	`add-sqr-sqrt`
66×	`times-frac`
32×	`distribute-lft-out--`
30×	`add-cube-cbrt`
20×	`difference-of-squares`
18×	`associate-l`
12×	`associate-/r/`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`flip3--` `flip--`
6×	`pow1` `distribute-rgt-out--` `div-inv` `associate-/l*` `add-log-exp`
4×	`associate-*l/`
3×	`associate-r`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `frac-sub` `sub-div`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 140

Calls

4 calls:

24.0ms	(/ y (- z y))
23.0ms	(/ x (- z y))
134.0ms	(- (/ x (- z y)) (/ y (- z y)))
379.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series370.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(/ y (- z y))
38.0ms	(/ x (- z y))
104.0ms	(- (/ x (- z y)) (/ y (- z y)))
169.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.1s

Counts

152 → 152

Iterations

Useful iterations: 2 (200.0ms)

Iter	Nodes	Cost
0	187	1884
1	377	1818
2	928	1718
3	2432	1718
done	5002	1718

prune529.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (- z y))
0.0b	(- (* x (/ 1 (- z y))) (/ y (- z y)))
0.2b	(* x (/ 1 (- z y)))
2.1b	(* (- (* x (/ 1 (- z y))) (/ y (- z y))) t)

rewrite278.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 123

Calls

4 calls:

17.0ms	(/ y (- z y))
28.0ms	(- (* x (/ 1 (- z y))) (/ y (- z y)))
58.0ms	(* x (/ 1 (- z y)))
166.0ms	(* (- (* x (/ 1 (- z y))) (/ y (- z y))) t)

series413.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ y (- z y))
87.0ms	(- (* x (/ 1 (- z y))) (/ y (- z y)))
49.0ms	(* x (/ 1 (- z y)))
219.0ms	(* (- (* x (/ 1 (- z y))) (/ y (- z y))) t)

simplify2.7s

Counts

135 → 135

Iterations

Useful iterations: 2 (227.0ms)

Iter	Nodes	Cost
0	194	1625
1	422	1361
2	989	1223
3	2915	1223
done	5000	1223

prune463.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- z y) x)
0.0b	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
0.8b	(/ 1 (/ (- z y) x))
2.1b	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

rewrite863.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 200

Calls

4 calls:

22.0ms	(/ (- z y) x)
191.0ms	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
22.0ms	(/ 1 (/ (- z y) x))
615.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

series574.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ (- z y) x)
209.0ms	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
83.0ms	(/ 1 (/ (- z y) x))
248.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

simplify2.9s

Counts

212 → 212

Iterations

Useful iterations: 3 (1.6s)

Iter	Nodes	Cost
0	275	3297
1	605	2933
2	1368	2538
3	4081	2504
done	5001	2504

prune526.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes143.0ms

Accuracy

-4.3% (2.0b remaining)

Error of 2.0b against oracle of 0.0b and baseline of 2.0b

bsearch71.0ms

Steps

Iters	Range		Point
8	3.2145479687067177e-198	5.0039998940534755e-194	1.1886376504070966e-194
8	-2.8393338688541856e-263	-8.06567362835162e-268	-1.0733886013619553e-267

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	43
1	23	31
done	23	31

end0.0ms

sample1.3s

Algorithm

intervals

Results

743.0ms

8709×

body

valid