Details

sample53.0ms

Algorithm

intervals

Results

22.0ms

272×

body

valid

simplify3.2s

Counts

1 → 1

Iterations

Useful iterations: 4 (85.0ms)

Iter	Nodes	Cost
0	12	13
1	25	13
2	58	13
3	108	13
4	187	12
5	305	12
6	478	12
7	702	12
8	1002	12
9	1286	12
10	1422	12
11	1461	12
12	1466	12
done	1466	12

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- z y) (+ (- t z) 1.0))
0.0b	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 64

Calls

2 calls:

61.0ms	(/ (- z y) (+ (- t z) 1.0))
1.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

series223.0ms

Counts

2 → 6

Calls

2 calls:

88.0ms	(/ (- z y) (+ (- t z) 1.0))
135.0ms	(fma a (/ (- z y) (+ (- t z) 1.0)) x)

simplify2.0s

Counts

70 → 70

Iterations

Useful iterations: 3 (704.0ms)

Iter	Nodes	Cost
0	116	1048
1	279	1006
2	772	940
3	2413	936
done	5000	936

prune277.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ z (+ (- t z) 1.0))
0.0b	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
0.0b	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

rewrite585.0ms

Algorithm

rewrite-expression-head

Rules

1125×	`*-un-lft-identity`
686×	`times-frac`
441×	`prod-diff`
414×	`add-sqr-sqrt`
402×	`add-cube-cbrt`
278×	`distribute-lft-out`
151×	`distribute-lft-out--`
92×	`associate-/r/`
46×	`flip3-+` `flip-+` `div-inv`
21×	`fma-neg`
5×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
4×	`difference-of-squares`
3×	`pow1` `expm1-log1p-u` `distribute-rgt-out--` `log1p-expm1-u` `associate-/l*`
1×	`cbrt-undiv` `sub-neg` `flip3--` `frac-2neg` `diff-log` `div-exp` `clear-num` `frac-sub` `flip--` `fma-udef` `sub-div`

Counts

3 → 546

Calls

3 calls:

46.0ms	(/ z (+ (- t z) 1.0))
457.0ms	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
0.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

series530.0ms

Counts

3 → 9

Calls

3 calls:

64.0ms	(/ z (+ (- t z) 1.0))
247.0ms	(- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0)))
218.0ms	(fma a (- (/ z (+ (- t z) 1.0)) (/ y (+ (- t z) 1.0))) x)

simplify2.3s

Counts

555 → 555

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	444	33320
1	997	29445
2	2265	22358
done	5001	16047

prune929.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) (- z y))
0.0b	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
0.3b	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

rewrite213.0ms

Algorithm

rewrite-expression-head

Rules

273×	`*-un-lft-identity`
218×	`times-frac`
143×	`add-sqr-sqrt`
91×	`add-cube-cbrt`
52×	`distribute-lft-out` `distribute-lft-out--`
36×	`associate-/r*`
26×	`difference-of-squares`
16×	`add-exp-log`
11×	`associate-/r/`
10×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3--` `flip--`
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×	`associate-+l-` `pow-flip` `flip3-+` `div-sub` `flip-+` `fma-udef` `inv-pow`

Counts

3 → 214

Calls

3 calls:

123.0ms	(/ (+ (- t z) 1.0) (- z y))
0.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
73.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

series548.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(/ (+ (- t z) 1.0) (- z y))
287.0ms	(fma a (/ 1 (/ (+ (- t z) 1.0) (- z y))) x)
168.0ms	(/ 1 (/ (+ (- t z) 1.0) (- z y)))

simplify3.9s

Counts

223 → 223

Iterations

Useful iterations: 3 (2.6s)

Iter	Nodes	Cost
0	260	4252
1	587	3672
2	1471	3342
3	4792	3259
done	5000	3259

prune523.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (- z y))
0.0b	(fma a (/ (/ 1 (+ (- t z) 1.0)) (/ 1 (- z y))) x)
0.2b	(/ (/ 1 (+ (- t z) 1.0)) (/ 1 (- z y)))

rewrite192.0ms

Algorithm

rewrite-expression-head

Rules

1116×	`times-frac`
879×	`*-un-lft-identity`
549×	`add-sqr-sqrt`
409×	`add-cube-cbrt`
136×	`distribute-lft-out--`
132×	`distribute-lft-out`
91×	`associate-/r/`
70×	`difference-of-squares`
47×	`add-exp-log`
46×	`div-inv`
34×	`div-exp`
26×	`associate-/r*`
24×	`associate-/l*`
23×	`flip3--` `flip--`
22×	`flip3-+` `flip-+`
17×	`add-cbrt-cube`
9×	`cbrt-undiv` `rec-exp` `1-exp`
4×	`pow1`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-flip` `fma-udef` `associate-/l/` `inv-pow`

Counts

3 → 570

Calls

3 calls:

13.0ms	(/ 1 (- z y))
0.0ms	(fma a (/ (/ 1 (+ (- t z) 1.0)) (/ 1 (- z y))) x)
116.0ms	(/ (/ 1 (+ (- t z) 1.0)) (/ 1 (- z y)))

series442.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(/ 1 (- z y))
238.0ms	(fma a (/ (/ 1 (+ (- t z) 1.0)) (/ 1 (- z y))) x)
145.0ms	(/ (/ 1 (+ (- t z) 1.0)) (/ 1 (- z y)))

simplify2.3s

Counts

579 → 579

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	655	16123
1	1855	12056
2	3738	10963
done	5001	10962

prune798.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes304.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	18
1	13	18
done	13	18

end0.0ms

sample1.2s

Algorithm

intervals

Results

601.0ms	8461×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	640	valid