Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

272×

body

valid

simplify1.3s

Counts

1 → 1

Iterations

Useful iterations: 2 (6.0ms)

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

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 2.6b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.4b	(fma (/ (- z t) (- z a)) y x)

rewrite52.0ms

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:

46.0ms	(/ (- z t) (- z a))
1.0ms	(fma (/ (- z t) (- z a)) y x)

series231.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ (- z t) (- z a))
161.0ms	(fma (/ (- z t) (- z a)) y x)

simplify3.6s

Counts

70 → 70

Iterations

Useful iterations: 4 (2.2s)

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

prune324.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.5b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.2b	(/ 1 (/ (- z a) (- z t)))
2.4b	(fma (/ 1 (/ (- z a) (- z t))) y x)

rewrite118.0ms

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:

58.0ms	(/ (- z a) (- z t))
33.0ms	(/ 1 (/ (- z a) (- z t)))
1.0ms	(fma (/ 1 (/ (- z a) (- z t))) y x)

series345.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(/ (- z a) (- z t))
132.0ms	(/ 1 (/ (- z a) (- z t)))
147.0ms	(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

prune550.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z a))
0.2b	(* (/ 1 (- z a)) (- z t))
2.4b	(fma (* (/ 1 (- z a)) (- z t)) y x)

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
52×	`*-un-lft-identity`
35×	`add-cube-cbrt`
32×	`times-frac`
21×	`associate-l`
18×	`prod-diff`
16×	`add-exp-log`
11×	`distribute-rgt-in` `distribute-lft-in`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--` `difference-of-squares`
6×	`pow1`
5×	`associate-r` `associate-/r*`
4×	`flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--`
3×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `sub-neg` `rec-exp` `1-exp` `associate-*r/` `cbrt-unprod` `div-inv`
1×	`pow-flip` `frac-2neg` `pow-prod-down` `associate-l/` `clear-num` `-commutative` `fma-udef` `inv-pow`

Counts

3 → 126

Calls

3 calls:

25.0ms	(/ 1 (- z a))
69.0ms	(* (/ 1 (- z a)) (- z t))
0.0ms	(fma (* (/ 1 (- z a)) (- z t)) y x)

series319.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ 1 (- z a))
126.0ms	(* (/ 1 (- z a)) (- z t))
139.0ms	(fma (* (/ 1 (- z a)) (- z t)) y x)

simplify3.3s

Counts

135 → 135

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	207	1927
1	475	1548
2	1170	1282
3	3633	1240
done	5002	1222

prune383.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 1.5b

localize19.0ms

Local error

Found 4 expressions with local error:

2.4b	(fma (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) y x)
5.4b	(cbrt (/ (- z t) (- z a)))
5.4b	(cbrt (/ (- z t) (- z a)))
5.4b	(cbrt (/ (- z t) (- z a)))

rewrite55.0ms

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 (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) y x)
10.0ms	(cbrt (/ (- z t) (- z a)))
11.0ms	(cbrt (/ (- z t) (- z a)))
22.0ms	(cbrt (/ (- z t) (- z a)))

series866.0ms

Counts

4 → 12

Calls

4 calls:

170.0ms	(fma (* (* (cbrt (/ (- z t) (- z a))) (cbrt (/ (- z t) (- z a)))) (cbrt (/ (- z t) (- z a)))) y x)
259.0ms	(cbrt (/ (- z t) (- z a)))
249.0ms	(cbrt (/ (- z t) (- z a)))
187.0ms	(cbrt (/ (- z t) (- z a)))

simplify1.8s

Counts

148 → 148

Iterations

Useful iterations: 4 (698.0ms)

Iter	Nodes	Cost
0	136	2570
1	239	2486
2	417	2204
3	749	2159
4	1776	2150
done	5000	2150

prune772.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 1.5b

regimes353.0ms

Accuracy

0% (0.7b remaining)

Error of 1.4b against oracle of 0.7b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	12
1	13	12
done	13	12

end0.0ms

sample1.5s

Algorithm

intervals

Results

421.0ms	8722×	body	80	valid
0.0ms	1×	body	320	valid