Details

sample42.0ms

Algorithm

intervals

Results

16.0ms

281×

body

valid

simplify258.0ms

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
3.1b	(* (/ (- x y) (- z y)) t)

rewrite116.0ms

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:

32.0ms	(/ (- x y) (- z y))
78.0ms	(* (/ (- x y) (- z y)) t)

series227.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(/ (- x y) (- z y))
152.0ms	(* (/ (- x y) (- z y)) t)

simplify828.0ms

Counts

108 → 108

Iterations

Useful iterations: done (823.0ms)

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

prune308.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(* (cbrt (- z y)) (cbrt (- z y)))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

43×	`cbrt-prod`
37×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`swap-sqr`
9×	`flip3--` `pow1/3` `flip--` `distribute-lft-out--`
8×	`associate-r` `associate-l`
7×	`difference-of-squares`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 101

Calls

4 calls:

6.0ms	(cbrt (- z y))
6.0ms	(cbrt (- z y))
6.0ms	(cbrt (- z y))
66.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

series749.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(cbrt (- z y))
185.0ms	(cbrt (- z y))
204.0ms	(cbrt (- z y))
181.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

simplify870.0ms

Counts

113 → 113

Iterations

Useful iterations: done (867.0ms)

Iter	Nodes	Cost
0	131	1384
1	286	1281
2	994	1223
done	5000	1173

prune476.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(cbrt (- z y))
0.5b	(* (cbrt (- z y)) (* (* (cbrt (cbrt (- z y))) (cbrt (cbrt (- z y)))) (cbrt (cbrt (- z y)))))

rewrite417.0ms

Algorithm

rewrite-expression-head

Rules

384×	`cbrt-div`
136×	`frac-times`
111×	`flip3--` `flip--`
50×	`associate-*r/`
44×	`associate-*l/`
20×	`cbrt-prod`
17×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`pow1`
13×	`add-exp-log` `pow1/3`
10×	`add-cube-cbrt`
9×	`pow-prod-down`
8×	`associate-l`
6×	`prod-exp` `add-cbrt-cube` `cbrt-unprod`
5×	`pow-prod-up`
4×	`distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 155

Calls

4 calls:

7.0ms	(cbrt (- z y))
7.0ms	(cbrt (- z y))
7.0ms	(cbrt (- z y))
377.0ms	(* (cbrt (- z y)) (* (* (cbrt (cbrt (- z y))) (cbrt (cbrt (- z y)))) (cbrt (cbrt (- z y)))))

series681.0ms

Counts

4 → 12

Calls

4 calls:

196.0ms	(cbrt (- z y))
181.0ms	(cbrt (- z y))
162.0ms	(cbrt (- z y))
142.0ms	(* (cbrt (- z y)) (* (* (cbrt (cbrt (- z y))) (cbrt (cbrt (- z y)))) (cbrt (cbrt (- z y)))))

simplify921.0ms

Counts

167 → 167

Iterations

Useful iterations: done (911.0ms)

Iter	Nodes	Cost
0	282	5469
1	721	5269
2	1647	4705
done	5000	4508

prune1.2s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ x (- z y))
0.0b	(/ y (- z y))
0.0b	(- (/ x (- z y)) (/ y (- z y)))
3.1b	(* (- (/ x (- z y)) (/ y (- z y))) t)

rewrite476.0ms

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:

18.0ms	(/ x (- z y))
15.0ms	(/ y (- z y))
91.0ms	(- (/ x (- z y)) (/ y (- z y)))
340.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series397.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ x (- z y))
52.0ms	(/ y (- z y))
99.0ms	(- (/ x (- z y)) (/ y (- z y)))
195.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify742.0ms

Counts

152 → 152

Iterations

Useful iterations: done (730.0ms)

Iter	Nodes	Cost
0	187	1884
1	398	1818
2	1257	1720
done	5001	1718

prune539.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes152.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	16	31
done	16	31

end0.0ms

sample938.0ms

Algorithm

intervals

Results

391.0ms

8713×

body

valid