Details

sample30.0ms

Algorithm

intervals

Results

9.0ms

281×

body

valid

simplify245.0ms

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	77	9
5	109	9
6	138	9
7	155	9
8	170	9
9	177	9
10	183	9
11	185	9
done	185	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite103.0ms

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` `expm1-log1p-u` `div-exp` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `div-sub` `pow-prod-down` `associate-l/` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

30.0ms	(/ (- x y) (- z y))
68.0ms	(* (/ (- x y) (- z y)) t)

series198.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- x y) (- z y))
129.0ms	(* (/ (- x y) (- z y)) t)

simplify1.0s

Counts

112 → 112

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	147	1339
1	381	1303
2	1476	1225
done	5001	1219

prune281.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

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)))

rewrite67.0ms

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×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `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 → 109

Calls

4 calls:

7.0ms	(cbrt (- z y))
6.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))
44.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

series703.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt (- z y))
181.0ms	(cbrt (- z y))
160.0ms	(cbrt (- z y))
190.0ms	(* (cbrt (- z y)) (cbrt (- z y)))

simplify854.0ms

Counts

121 → 121

Iterations

Useful iterations: done (850.0ms)

Iter	Nodes	Cost
0	135	1434
1	295	1320
2	976	1262
done	5001	1209

prune513.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize43.0ms

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)))))

rewrite331.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
1×	`swap-sqr` `associate-r` `pow-sqr` `*-commutative`

Counts

4 → 163

Calls

4 calls:

5.0ms	(cbrt (- z y))
4.0ms	(cbrt (- z y))
5.0ms	(cbrt (- z y))
297.0ms	(* (cbrt (- z y)) (* (* (cbrt (cbrt (- z y))) (cbrt (cbrt (- z y)))) (cbrt (cbrt (- z y)))))

series700.0ms

Counts

4 → 12

Calls

4 calls:

209.0ms	(cbrt (- z y))
187.0ms	(cbrt (- z y))
165.0ms	(cbrt (- z y))
139.0ms	(* (cbrt (- z y)) (* (* (cbrt (cbrt (- z y))) (cbrt (cbrt (- z y)))) (cbrt (cbrt (- z y)))))

simplify964.0ms

Counts

175 → 175

Iterations

Useful iterations: done (955.0ms)

Iter	Nodes	Cost
0	286	5545
1	728	5258
2	1675	4678
done	5001	4472

prune855.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize11.0ms

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)

rewrite605.0ms

Algorithm

rewrite-expression-head

Rules

743×	`*-un-lft-identity`
725×	`add-sqr-sqrt`
711×	`times-frac`
441×	`prod-diff`
417×	`add-cube-cbrt`
161×	`distribute-lft-out--`
149×	`difference-of-squares`
98×	`associate-/r/`
51×	`flip3--` `flip--`
49×	`div-inv`
21×	`fma-neg`
18×	`associate-l`
10×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
6×	`pow1` `distribute-rgt-out--` `associate-/l*` `add-log-exp`
4×	`expm1-log1p-u` `associate-*l/` `log1p-expm1-u`
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 → 610

Calls

4 calls:

11.0ms	(/ x (- z y))
19.0ms	(/ y (- z y))
158.0ms	(- (/ x (- z y)) (/ y (- z y)))
340.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

series369.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ x (- z y))
57.0ms	(/ y (- z y))
97.0ms	(- (/ x (- z y)) (/ y (- z y)))
180.0ms	(* (- (/ x (- z y)) (/ y (- z y))) t)

simplify2.3s

Counts

622 → 622

Iterations

Useful iterations: 2 (804.0ms)

Iter	Nodes	Cost
0	593	28840
1	1337	26001
2	4364	20611
done	5000	20611

prune1.9s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes149.0ms

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

sample1.1s

Algorithm

intervals

Results

292.0ms

8713×

body

valid