Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

283×

body

valid

simplify1.5s

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.6b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z t) (- z a))
2.6b	(* y (/ (- z t) (- z a)))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-sqr-sqrt`
70×	`*-un-lft-identity`
51×	`times-frac`
31×	`associate-r`
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-l` `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` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 106

Calls

2 calls:

46.0ms	(/ (- z t) (- z a))
61.0ms	(* y (/ (- z t) (- z a)))

series183.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(/ (- z t) (- z a))
114.0ms	(* y (/ (- z t) (- z a)))

simplify2.3s

Counts

112 → 112

Iterations

Useful iterations: 2 (239.0ms)

Iter	Nodes	Cost
0	142	1355
1	354	1282
2	966	1200
3	2928	1200
done	5000	1200

prune432.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- z a) (- z t))
0.4b	(/ 1 (/ (- z a) (- z t)))
2.6b	(* y (/ 1 (/ (- z a) (- z t))))

rewrite210.0ms

Algorithm

rewrite-expression-head

Rules

392×	`times-frac`
335×	`add-sqr-sqrt`
323×	`*-un-lft-identity`
157×	`add-cube-cbrt`
98×	`associate-r`
82×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
35×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-/r/`
15×	`div-exp`
10×	`div-inv`
9×	`flip3--` `flip--`
8×	`associate-/l*`
7×	`cbrt-undiv` `prod-exp`
6×	`pow1`
5×	`unswap-sqr`
4×	`rec-exp` `1-exp`
3×	`expm1-log1p-u` `associate-l` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`pow-flip` `div-sub` `associate-r/` `pow-prod-down` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 333

Calls

3 calls:

28.0ms	(/ (- z a) (- z t))
37.0ms	(/ 1 (/ (- z a) (- z t)))
111.0ms	(* y (/ 1 (/ (- z a) (- z t))))

series360.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ (- z a) (- z t))
112.0ms	(/ 1 (/ (- z a) (- z t)))
185.0ms	(* y (/ 1 (/ (- z a) (- z t))))

simplify1.8s

Counts

342 → 342

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	354	5494
1	860	4443
2	1819	4058
done	5000	3982

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z a) (- z t))
2.6b	(/ y (/ (- z a) (- z t)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

218×	`times-frac`
194×	`add-sqr-sqrt` `*-un-lft-identity`
90×	`add-cube-cbrt`
52×	`distribute-lft-out--` `difference-of-squares`
36×	`associate-/r*`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
8×	`associate-/l*`
6×	`flip3--` `flip--` `div-inv`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `clear-num` `log1p-expm1-u` `associate-/l/` `add-log-exp`
1×	`div-sub`

Counts

2 → 198

Calls

2 calls:

50.0ms	(/ (- z a) (- z t))
30.0ms	(/ y (/ (- z a) (- z t)))

series258.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(/ (- z a) (- z t))
181.0ms	(/ y (/ (- z a) (- z t)))

simplify1.9s

Counts

204 → 204

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	272	3516
1	622	3292
2	2241	3190
done	5000	3184

prune804.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- z t))
0.0b	(- (/ z (- z t)) (/ a (- z t)))
0.0b	(/ z (- z t))
2.6b	(/ y (- (/ z (- z t)) (/ a (- z t))))

rewrite503.0ms

Algorithm

rewrite-expression-head

Rules

848×	`*-un-lft-identity`
819×	`times-frac`
798×	`add-sqr-sqrt`
444×	`add-cube-cbrt`
441×	`prod-diff`
197×	`distribute-lft-out--`
167×	`difference-of-squares`
114×	`associate-/r/`
57×	`flip3--` `flip--`
56×	`div-inv`
28×	`associate-/r*`
21×	`fma-neg`
15×	`distribute-rgt-out--`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/l*`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
2×	`frac-sub` `sub-div`
1×	`sub-neg` `diff-log`

Counts

4 → 664

Calls

4 calls:

25.0ms	(/ a (- z t))
168.0ms	(- (/ z (- z t)) (/ a (- z t)))
21.0ms	(/ z (- z t))
205.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

series577.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ a (- z t))
215.0ms	(- (/ z (- z t)) (/ a (- z t)))
97.0ms	(/ z (- z t))
202.0ms	(/ y (- (/ z (- z t)) (/ a (- z t))))

simplify2.6s

Counts

676 → 676

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	671	30220
1	1400	27188
2	3234	21174
done	5000	18717

prune1.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

regimes281.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	12	11
done	12	11

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.2s	8691×	body	80	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid