Details

sample58.0ms

Algorithm

intervals

Results

20.0ms

280×

body

valid

simplify3.0s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	35	11
3	56	11
4	96	11
5	157	11
6	231	11
7	263	11
8	335	11
9	473	11
10	799	11
11	2276	11
done	5000	11

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.4b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ x (* y (/ (- z t) (- z a))))
0.0b	(/ (- z t) (- z a))
2.1b	(* y (/ (- z t) (- z a)))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

76×	`add-sqr-sqrt`
71×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
27×	`add-cube-cbrt`
22×	`distribute-lft-out--` `difference-of-squares`
10×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/r/`
3×	`flip3--` `associate-l` `flip--`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `unswap-sqr`
1×	`+-commutative` `frac-2neg` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+`

Counts

3 → 113

Calls

3 calls:

13.0ms	(+ x (* y (/ (- z t) (- z a))))
45.0ms	(/ (- z t) (- z a))
97.0ms	(* y (/ (- z t) (- z a)))

series376.0ms

Counts

3 → 9

Calls

3 calls:

151.0ms	(+ x (* y (/ (- z t) (- z a))))
83.0ms	(/ (- z t) (- z a))
141.0ms	(* y (/ (- z t) (- z a)))

simplify1.4s

Counts

122 → 122

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	162	1555
1	448	1466
2	1785	1374
done	5000	1368

prune896.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
0.0b	(/ (- z a) (- z t))
0.3b	(/ 1 (/ (- z a) (- z t)))
2.1b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite301.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
336×	`add-sqr-sqrt`
324×	`*-un-lft-identity`
158×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`add-exp-log` `associate-/r*`
20×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`pow1` `cbrt-undiv` `prod-exp`
6×	`add-log-exp`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`associate-l` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-flip` `flip3-+` `div-sub` `associate-r/` `pow-prod-down` `sum-log` `un-div-inv` `-commutative` `flip-+` `inv-pow`

Counts

4 → 338

Calls

4 calls:

12.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
42.0ms	(/ (- z a) (- z t))
54.0ms	(/ 1 (/ (- z a) (- z t)))
139.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series655.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(+ x (* y (/ 1 (/ (- z a) (- z t)))))
91.0ms	(/ (- z a) (- z t))
183.0ms	(/ 1 (/ (- z a) (- z t)))
214.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify966.0ms

Counts

350 → 350

Iterations

Useful iterations: done (948.0ms)

Iter	Nodes	Cost
0	372	5706
1	1101	4776
done	5000	4420

prune1.9s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
2.8b	(cbrt (/ (- z t) (- z a)))
2.8b	(cbrt (/ (- z t) (- z a)))
2.8b	(cbrt (/ (- z t) (- z a)))

rewrite308.0ms

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×	`add-cbrt-cube` `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 → 276

Calls

4 calls:

190.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
32.0ms	(cbrt (/ (- z t) (- z a)))
21.0ms	(cbrt (/ (- z t) (- z a)))
17.0ms	(cbrt (/ (- z t) (- z a)))

series1.0s

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a))))
232.0ms	(cbrt (/ (- z t) (- z a)))
241.0ms	(cbrt (/ (- z t) (- z a)))
249.0ms	(cbrt (/ (- z t) (- z a)))

simplify2.0s

Counts

288 → 288

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	228	6188
1	405	5793
2	1507	5677
done	5000	5489

prune2.3s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (/ y (- z a)) (- z t)))
11.7b	(* (/ y (- z a)) (- z t))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
21×	`associate-l`
20×	`*-un-lft-identity`
16×	`times-frac`
12×	`add-cube-cbrt`
7×	`add-exp-log` `add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `distribute-rgt-in` `sub-neg` `associate-+r+` `distribute-lft-in` `distribute-lft-out--` `add-log-exp` `difference-of-squares`
3×	`flip3--` `flip--`
2×	`frac-times` `associate-*r/` `prod-exp` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `flip3-+` `div-exp` `pow-prod-down` `associate-l/` `sum-log` `-commutative` `flip-+` `div-inv`

Counts

2 → 65

Calls

2 calls:

16.0ms	(+ x (* (/ y (- z a)) (- z t)))
95.0ms	(* (/ y (- z a)) (- z t))

series396.0ms

Counts

2 → 6

Calls

2 calls:

180.0ms	(+ x (* (/ y (- z a)) (- z t)))
216.0ms	(* (/ y (- z a)) (- z t))

simplify1.4s

Counts

71 → 71

Iterations

Useful iterations: 2 (354.0ms)

Iter	Nodes	Cost
0	137	909
1	363	869
2	1562	809
done	5000	809

prune454.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes1.0s

Accuracy

8.9% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.3b

bsearch178.0ms

Steps

Iters	Range		Point
10	6.169247681986307e-96	1.2330136248640432e-82	6.781252727543297e-83
9	-3.416513690090485e+47	-8.83935831322112e+41	-8.96595528476416e+41

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	41
1	28	41
done	28	41

end0.0ms

sample1.6s

Algorithm

intervals

Results

813.0ms	8692×	body	80	valid
1.0ms	2×	body	1280	valid