Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

270×

body

valid

simplify106.0ms

Counts

1 → 1

Iterations

Useful iterations: 6 (29.0ms)

Iter	Nodes	Cost
0	25	6
1	58	6
2	110	6
3	198	6
4	411	6
5	863	6
6	1229	5
7	1698	5
8	2304	5
9	2508	5
10	2510	5
11	2510	5
done	2510	5

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.1b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ a (+ (- t z) 1.0))
1.2b	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity`
15×	`times-frac`
12×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`distribute-lft-out`
5×	`associate-/r*`
4×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out--`
3×	`associate-/l*`
2×	`pow1` `expm1-log1p-u` `associate-/r/` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `fma-udef` `div-inv`

Counts

2 → 49

Calls

2 calls:

35.0ms	(/ a (+ (- t z) 1.0))
1.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

series212.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ a (+ (- t z) 1.0))
174.0ms	(fma (/ a (+ (- t z) 1.0)) (- z y) x)

simplify98.0ms

Counts

55 → 55

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	209	330
1	714	301
2	3086	297
3	5001	297
done	5001	297

prune161.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ (- t z) 1.0) a)
10.6b	(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

236×	`*-un-lft-identity`
200×	`times-frac`
126×	`add-sqr-sqrt`
86×	`add-cube-cbrt`
44×	`distribute-lft-out`
42×	`distribute-lft-out--`
22×	`associate-/r*`
20×	`difference-of-squares`
10×	`associate-/l*`
9×	`add-exp-log` `add-cbrt-cube`
8×	`div-inv`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `frac-2neg` `div-sub` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`associate-+l-` `flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+`

Counts

2 → 179

Calls

2 calls:

67.0ms	(/ (+ (- t z) 1.0) a)
56.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

series182.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (+ (- t z) 1.0) a)
145.0ms	(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify80.0ms

Counts

185 → 185

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	639	1777
1	2468	1714
2	5001	1713
done	5001	1713

prune415.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (+ (- t z) 1.0))
1.2b	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

rewrite181.0ms

Algorithm

rewrite-expression-head

Rules

1066×	`times-frac`
924×	`*-un-lft-identity`
544×	`add-sqr-sqrt`
392×	`add-cube-cbrt`
152×	`distribute-lft-out` `distribute-lft-out--`
76×	`difference-of-squares`
48×	`div-inv`
36×	`associate-/l*`
31×	`associate-/r/`
26×	`add-exp-log`
18×	`associate-/r*`
17×	`div-exp`
16×	`add-cbrt-cube`
15×	`flip3-+` `flip-+`
9×	`cbrt-undiv`
3×	`div-sub` `associate-/l/`
2×	`pow1` `expm1-log1p-u` `rec-exp` `frac-2neg` `1-exp` `clear-num` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--`

Counts

2 → 528

Calls

2 calls:

49.0ms	(/ (- y z) (+ (- t z) 1.0))
88.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

series205.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ (- y z) (+ (- t z) 1.0))
150.0ms	(/ (/ (- y z) (+ (- t z) 1.0)) (/ 1 a))

simplify113.0ms

Counts

534 → 534

Iterations

Useful iterations: 1 (44.0ms)

Iter	Nodes	Cost
0	1840	7413
1	5001	6893
done	5001	6893

prune899.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ (- t z) 1.0))
0.2b	(* (- y z) (/ 1 (+ (- t z) 1.0)))
1.2b	(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

81×	`add-exp-log`
75×	`*-un-lft-identity`
63×	`times-frac`
46×	`add-sqr-sqrt`
42×	`div-exp`
37×	`add-cube-cbrt`
31×	`add-cbrt-cube`
21×	`associate-r`
20×	`prod-exp`
18×	`associate-/r*`
14×	`distribute-lft-out`
13×	`cbrt-undiv`
11×	`rec-exp` `1-exp`
8×	`distribute-lft-out--`
6×	`pow1` `cbrt-unprod` `associate-/l/`
5×	`associate-l` `associate-/r/` `div-inv`
4×	`frac-times` `flip3--` `associate-l/` `flip--` `associate-/l`
3×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `flip3-+` `associate-*r/` `clear-num` `un-div-inv` `flip-+`
1×	`pow-flip` `pow-prod-down` `*-commutative` `inv-pow` `difference-of-squares`

Counts

3 → 167

Calls

3 calls:

38.0ms	(/ 1 (+ (- t z) 1.0))
98.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
42.0ms	(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

series240.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ 1 (+ (- t z) 1.0))
60.0ms	(* (- y z) (/ 1 (+ (- t z) 1.0)))
140.0ms	(/ (* (- y z) (/ 1 (+ (- t z) 1.0))) (/ 1 a))

simplify94.0ms

Counts

176 → 176

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	786	1261
1	3889	1009
2	5001	936
done	5001	936

prune342.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes191.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7
done	17	7

end0.0ms

sample624.0ms

Algorithm

intervals

Results

269.0ms	8502×	body	80	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	320	valid