Details

sample50.0ms

Algorithm

intervals

Results

20.0ms

283×

body

valid

simplify1.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	10	11
1	21	11
2	37	10
3	60	10
4	103	10
5	163	10
6	214	10
7	241	10
8	280	10
9	321	10
10	406	10
11	504	10
12	572	10
13	636	10
14	664	10
done	664	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
1.5b	(fma (/ (- z t) (- z a)) y x)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt` `*-un-lft-identity`
25×	`times-frac`
14×	`add-cube-cbrt`
12×	`distribute-lft-out--` `difference-of-squares`
5×	`associate-/r` `associate-/l`
4×	`add-exp-log` `add-cbrt-cube`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-/r/` `flip--` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `div-sub` `div-exp` `clear-num` `fma-udef` `div-inv`

Counts

2 → 64

Calls

2 calls:

44.0ms	(/ (- z t) (- z a))
1.0ms	(fma (/ (- z t) (- z a)) y x)

series207.0ms

Counts

2 → 6

Calls

2 calls:

82.0ms	(/ (- z t) (- z a))
124.0ms	(fma (/ (- z t) (- z a)) y x)

simplify3.5s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.1s)

Iter	Nodes	Cost
0	113	884
1	261	856
2	628	808
3	1605	808
4	4736	806
done	5000	806

prune353.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 1.2b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
1.5b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
195×	`add-sqr-sqrt` `*-un-lft-identity`
91×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`pow1` `cbrt-undiv`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

27.0ms	(/ (- z a) (- z t))
47.0ms	(/ 1 (/ (- z a) (- z t)))
1.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series415.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (- z a) (- z t))
178.0ms	(/ 1 (/ (- z a) (- z t)))
164.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

simplify3.0s

Counts

223 → 223

Iterations

Useful iterations: 3 (1.8s)

Iter	Nodes	Cost
0	269	3744
1	609	3232
2	1384	2913
3	3766	2837
done	5000	2837

prune587.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 1.2b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1 (- z t))
0.0b	(/ 1 (- z a))
0.2b	(/ (/ 1 (- z a)) (/ 1 (- z t)))
1.5b	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

rewrite216.0ms

Algorithm

rewrite-expression-head

Rules

1131×	`times-frac`
700×	`add-sqr-sqrt` `*-un-lft-identity`
420×	`add-cube-cbrt`
140×	`distribute-lft-out--` `difference-of-squares`
93×	`associate-/r/`
52×	`add-exp-log`
47×	`div-inv`
46×	`flip3--` `flip--`
36×	`div-exp`
31×	`associate-/r*`
27×	`associate-/l*`
20×	`add-cbrt-cube`
10×	`cbrt-undiv` `rec-exp` `1-exp`
6×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`pow-flip` `inv-pow`
1×	`fma-udef` `associate-/l/`

Counts

4 → 613

Calls

4 calls:

27.0ms	(/ 1 (- z t))
36.0ms	(/ 1 (- z a))
69.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
1.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

series417.0ms

Counts

4 → 12

Calls

4 calls:

56.0ms	(/ 1 (- z t))
62.0ms	(/ 1 (- z a))
149.0ms	(/ (/ 1 (- z a)) (/ 1 (- z t)))
151.0ms	(fma (/ (/ 1 (- z a)) (/ 1 (- z t))) y x)

simplify2.7s

Counts

625 → 625

Iterations

Useful iterations: 2 (1.6s)

Iter	Nodes	Cost
0	746	15038
1	2062	11196
2	3800	9962
done	5000	9962

prune1.1s

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 1.2b

localize19.0ms

Local error

Found 4 expressions with local error:

1.5b	(fma (* (/ (/ 1 (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))) (/ 1 (cbrt (/ (- z a) (- z t))))) y x)
4.7b	(cbrt (/ (- z a) (- z t)))
4.7b	(cbrt (/ (- z a) (- z t)))
4.7b	(cbrt (/ (- z a) (- z t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-sqr-sqrt` `*-un-lft-identity`
93×	`cbrt-prod`
75×	`times-frac`
37×	`add-cube-cbrt`
30×	`distribute-lft-out--` `difference-of-squares`
6×	`associate-/r/`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `flip3--` `pow1/3` `flip--` `div-inv`
1×	`fma-udef`

Counts

4 → 136

Calls

4 calls:

0.0ms	(fma (* (/ (/ 1 (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))) (/ 1 (cbrt (/ (- z a) (- z t))))) y x)
10.0ms	(cbrt (/ (- z a) (- z t)))
18.0ms	(cbrt (/ (- z a) (- z t)))
11.0ms	(cbrt (/ (- z a) (- z t)))

series799.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(fma (* (/ (/ 1 (cbrt (/ (- z a) (- z t)))) (cbrt (/ (- z a) (- z t)))) (/ 1 (cbrt (/ (- z a) (- z t))))) y x)
213.0ms	(cbrt (/ (- z a) (- z t)))
226.0ms	(cbrt (/ (- z a) (- z t)))
217.0ms	(cbrt (/ (- z a) (- z t)))

simplify2.1s

Counts

148 → 148

Iterations

Useful iterations: 4 (841.0ms)

Iter	Nodes	Cost
0	139	2622
1	248	2538
2	450	2402
3	821	2181
4	2011	2160
done	5000	2160

prune845.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 1.2b

regimes306.0ms

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.6b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	11	11
done	11	11

end0.0ms

sample1.5s

Algorithm

intervals

Results

440.0ms	8691×	body	80	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	1280	valid