Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

281×

body

valid

simplify1.2s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	17	9
2	24	9
3	48	9
4	77	9
5	104	9
6	129	9
7	145	9
8	158	9
9	165	9
10	170	9
11	202	9
12	264	9
13	288	9
14	338	9
15	404	9
16	436	9
17	536	9
18	652	9
19	668	9
20	672	9
done	672	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
1.8b	(* (/ (- x y) (- z y)) t)

rewrite46.0ms

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:

12.0ms	(/ (- x y) (- z y))
29.0ms	(* (/ (- x y) (- z y)) t)

series144.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(/ (- x y) (- z y))
97.0ms	(* (/ (- x y) (- z y)) t)

simplify1.8s

Counts

112 → 112

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	147	1339
1	373	1303
2	1133	1219
3	4281	1219
done	5000	1217

prune237.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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:

20.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))
2.0ms	(cbrt (- z y))

series584.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(* (cbrt (- z y)) (cbrt (- z y)))
156.0ms	(cbrt (- z y))
145.0ms	(cbrt (- z y))
155.0ms	(cbrt (- z y))

simplify2.4s

Counts

121 → 121

Iterations

Useful iterations: 3 (545.0ms)

Iter	Nodes	Cost
0	135	1434
1	274	1332
2	931	1262
3	3796	1156
done	5000	1156

prune379.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.2b	(* (- x y) (/ 1 (- z y)))
1.8b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
41×	`*-un-lft-identity`
32×	`times-frac`
31×	`add-exp-log`
24×	`add-cube-cbrt` `associate-r`
19×	`add-cbrt-cube`
13×	`prod-exp`
11×	`pow1`
10×	`associate-*l/`
8×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-unprod`
6×	`flip3--` `div-exp` `associate-l` `flip--`
5×	`associate-/r*`
4×	`frac-times` `pow-prod-down` `associate-/r/`
3×	`cbrt-undiv` `expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `un-div-inv` `-commutative` `div-inv`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

3 → 125

Calls

3 calls:

6.0ms	(/ 1 (- z y))
27.0ms	(* (- x y) (/ 1 (- z y)))
32.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series178.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(/ 1 (- z y))
47.0ms	(* (- x y) (/ 1 (- z y)))
95.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify969.0ms

Counts

134 → 134

Iterations

Useful iterations: 2 (138.0ms)

Iter	Nodes	Cost
0	167	1517
1	411	1279
2	1673	1073
done	5001	1073

prune222.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
3.7b	(cbrt (/ (- x y) (- z y)))
3.7b	(cbrt (/ (- x y) (- z y)))
3.7b	(cbrt (/ (- x y) (- z y)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

333×	`*-un-lft-identity`
277×	`cbrt-prod`
273×	`add-sqr-sqrt`
229×	`times-frac`
106×	`distribute-lft-out--`
93×	`add-cube-cbrt`
78×	`difference-of-squares`
58×	`swap-sqr`
34×	`associate-r` `associate-l`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3` `unswap-sqr`
7×	`cbrt-div` `flip3--` `flip--` `div-inv`
6×	`add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 284

Calls

4 calls:

69.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
6.0ms	(cbrt (/ (- x y) (- z y)))
5.0ms	(cbrt (/ (- x y) (- z y)))
6.0ms	(cbrt (/ (- x y) (- z y)))

series1.2s

Counts

4 → 12

Calls

4 calls:

259.0ms	(* (cbrt (/ (- x y) (- z y))) (cbrt (/ (- x y) (- z y))))
300.0ms	(cbrt (/ (- x y) (- z y)))
300.0ms	(cbrt (/ (- x y) (- z y)))
303.0ms	(cbrt (/ (- x y) (- z y)))

simplify685.0ms

Counts

296 → 296

Iterations

Useful iterations: 2 (188.0ms)

Iter	Nodes	Cost
0	295	6549
1	558	6140
2	1837	5993
done	5000	5993

prune789.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0b

regimes250.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (3.0ms)

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

end0.0ms

sample442.0ms

Algorithm

intervals

Results

226.0ms

8731×

body

valid