Details

sample20.0ms

Algorithm

intervals

Results

7.0ms

276×

body

valid

simplify147.0ms

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	76	9
5	108	9
6	133	9
7	148	9
8	161	9
9	166	9
done	166	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.8b	(* (/ (- x y) (- z y)) t)

rewrite76.0ms

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:

25.0ms	(/ (- x y) (- z y))
45.0ms	(* (/ (- x y) (- z y)) t)

series154.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- x y) (- z y))
104.0ms	(* (/ (- x y) (- z y)) t)

simplify1.5s

Counts

112 → 112

Iterations

Useful iterations: 2 (161.0ms)

Iter	Nodes	Cost
0	147	1339
1	369	1303
2	984	1219
3	2982	1219
done	5000	1219

prune231.0ms

Pruning

8 alts after pruning (8 fresh and 0 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)))
2.8b	(* (* (- x y) (/ 1 (- z y))) t)

rewrite125.0ms

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:

12.0ms	(/ 1 (- z y))
45.0ms	(* (- x y) (/ 1 (- z y)))
64.0ms	(* (* (- x y) (/ 1 (- z y))) t)

series194.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (- z y))
50.0ms	(* (- x y) (/ 1 (- z y)))
105.0ms	(* (* (- x y) (/ 1 (- z y))) t)

simplify2.5s

Counts

134 → 134

Iterations

Useful iterations: 2 (185.0ms)

Iter	Nodes	Cost
0	167	1517
1	385	1235
2	1223	1073
3	4724	1073
done	5000	1073

prune229.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) (- z y))
2.8b	(* (pow (/ (- x y) (- z y)) 1) t)

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
35×	`associate-l`
33×	`unpow-prod-down`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
12×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`associate-/r` `associate-/l`
4×	`prod-exp` `associate-/r/` `unswap-sqr`
3×	`pow1` `flip3--` `associate-r` `flip--`
2×	`expm1-log1p-u` `div-exp` `pow-exp` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `div-sub` `pow-prod-down` `clear-num` `*-commutative` `cbrt-unprod`

Counts

2 → 112

Calls

2 calls:

24.0ms	(/ (- x y) (- z y))
88.0ms	(* (pow (/ (- x y) (- z y)) 1) t)

series158.0ms

Counts

2 → 6

Calls

2 calls:

51.0ms	(/ (- x y) (- z y))
107.0ms	(* (pow (/ (- x y) (- z y)) 1) t)

simplify2.3s

Counts

118 → 118

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	183	1543
1	421	1357
2	1260	1293
3	4181	1291
done	5000	1291

prune261.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (pow (/ (- x y) (- z y)) 1)) (cbrt (pow (/ (- x y) (- z y)) 1)))
3.9b	(cbrt (/ (- x y) (- z y)))
3.9b	(cbrt (pow (/ (- x y) (- z y)) 1))
3.9b	(cbrt (pow (/ (- x y) (- z y)) 1))

rewrite267.0ms

Algorithm

rewrite-expression-head

Rules

339×	`*-un-lft-identity`
329×	`cbrt-prod`
305×	`add-sqr-sqrt`
254×	`unpow-prod-down`
233×	`times-frac`
106×	`distribute-lft-out--`
99×	`add-cube-cbrt`
78×	`difference-of-squares`
62×	`swap-sqr`
38×	`associate-r` `associate-l`
25×	`unswap-sqr`
16×	`sqr-pow`
14×	`associate-/r/`
11×	`pow1`
9×	`pow1/3`
7×	`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` `cbrt-div` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 315

Calls

4 calls:

192.0ms	(* (cbrt (pow (/ (- x y) (- z y)) 1)) (cbrt (pow (/ (- x y) (- z y)) 1)))
9.0ms	(cbrt (/ (- x y) (- z y)))
20.0ms	(cbrt (pow (/ (- x y) (- z y)) 1))
20.0ms	(cbrt (pow (/ (- x y) (- z y)) 1))

series1.2s

Counts

4 → 12

Calls

4 calls:

282.0ms	(* (cbrt (pow (/ (- x y) (- z y)) 1)) (cbrt (pow (/ (- x y) (- z y)) 1)))
325.0ms	(cbrt (/ (- x y) (- z y)))
310.0ms	(cbrt (pow (/ (- x y) (- z y)) 1))
316.0ms	(cbrt (pow (/ (- x y) (- z y)) 1))

simplify2.4s

Counts

327 → 327

Iterations

Useful iterations: 3 (1.5s)

Iter	Nodes	Cost
0	418	8972
1	758	7140
2	1898	6610
3	4894	6538
done	5000	6538

prune900.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes186.0ms

Accuracy

3.6% (2.0b remaining)

Error of 2.1b against oracle of 0.0b and baseline of 2.1b

bsearch74.0ms

Steps

Iters	Range		Point
9	1.5907848767794871e-100	1.5643950702435846e-91	1.0296007835312908e-97
11	-7.435181494114933e-183	-1.5838670469572908e-205	-2.731528862364636e-192

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

Iter	Nodes	Cost
0	18	39
1	25	27
done	25	27

end0.0ms

sample506.0ms

Algorithm

intervals

Results

208.0ms

8692×

body

valid