Details

sample42.0ms

Algorithm

intervals

Results

17.0ms

280×

body

valid

simplify303.0ms

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	71	9
5	101	9
6	122	9
7	139	9
8	151	9
9	158	9
10	164	9
11	166	9
done	166	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.6b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.5b	(* (/ (- x y) (- z y)) t)

rewrite121.0ms

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:

43.0ms	(/ (- x y) (- z y))
68.0ms	(* (/ (- x y) (- z y)) t)

series220.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (- x y) (- z y))
138.0ms	(* (/ (- x y) (- z y)) t)

simplify945.0ms

Counts

108 → 108

Iterations

Useful iterations: done (942.0ms)

Iter	Nodes	Cost
0	143	1303
1	372	1269
2	1459	1191
done	5000	1185

prune287.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- z y))
0.0b	(- (/ x (- z y)) (/ y (- z y)))
0.0b	(/ y (- z y))
2.5b	(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite532.0ms

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:

11.0ms	(/ x (- z y))
139.0ms	(- (/ x (- z y)) (/ y (- z y)))
20.0ms	(/ y (- z y))
349.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series374.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ x (- z y))
104.0ms	(- (/ x (- z y)) (/ y (- z y)))
52.0ms	(/ y (- z y))
170.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify859.0ms

Counts

152 → 152

Iterations

Useful iterations: done (851.0ms)

Iter	Nodes	Cost
0	187	1884
1	398	1818
2	1265	1720
done	5001	1718

prune490.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
0.0b	(/ y (- z y))
0.4b	(/ 1 (/ (- z y) x))
2.5b	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

rewrite789.0ms

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--`
24×	`associate-/r*`
19×	`add-exp-log`
17×	`associate-l`
13×	`add-cbrt-cube`
8×	`div-exp` `div-inv`
7×	`pow1`
6×	`associate-/l*` `add-log-exp`
4×	`cbrt-undiv`
3×	`flip3--` `associate-r` `associate-*l/` `associate-/r/` `flip--`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `frac-sub`
1×	`sub-neg` `pow-flip` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `inv-pow` `unswap-sqr`

Counts

4 → 199

Calls

4 calls:

186.0ms	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
11.0ms	(/ y (- z y))
17.0ms	(/ 1 (/ (- z y) x))
563.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

series659.0ms

Counts

4 → 12

Calls

4 calls:

234.0ms	(- (/ 1 (/ (- z y) x)) (/ y (- z y)))
54.0ms	(/ y (- z y))
92.0ms	(/ 1 (/ (- z y) x))
279.0ms	(* (- (/ 1 (/ (- z y) x)) (/ y (- z y))) t)

simplify1.6s

Counts

211 → 211

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	301	3273
1	737	2901
2	3266	2785
done	5000	2769

prune472.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ t (- z y))
9.3b	(* (- x y) (/ t (- z y)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 83

Calls

2 calls:

23.0ms	(/ t (- z y))
62.0ms	(* (- x y) (/ t (- z y)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ t (- z y))
90.0ms	(* (- x y) (/ t (- z y)))

simplify1.3s

Counts

89 → 89

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	130	977
1	317	937
2	1656	865
done	5000	857

prune247.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes181.0ms

Accuracy

5.4% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.5b

bsearch83.0ms

Steps

Iters	Range		Point
4	2.7317800781828354e-67	4.9203326284253484e-67	2.7696572249423606e-67
10	-1.195490085819535e-191	-1.1914193526339095e-204	-1.5760713197920233e-193

simplify5.0ms

Iterations

Useful iterations: 1 (3.0ms)

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

end0.0ms

sample857.0ms

Algorithm

intervals

Results

400.0ms

8671×

body

valid