Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	252×	body	80	valid
1.0ms	14×	body	640	valid
1.0ms	14×	body	320	valid
1.0ms	8×	body	1280	valid
1.0ms	10×	body	160	valid

simplify54.0ms

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	23	6
1	46	5
2	128	5
3	362	5
4	1024	5
5	2296	5
6	5001	5
done	5001	5

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
14.4b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite25.0ms

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:

22.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series154.0ms

Counts

2 → 6

Calls

2 calls:

57.0ms	(/ (- t x) (- a z))
97.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify57.0ms

Counts

70 → 70

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	268	450
1	733	425
2	2490	423
3	5001	421
done	5001	421

prune204.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.4b	(/ 1 (/ (- a z) (- t x)))
14.4b	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite63.0ms

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:

22.0ms	(/ (- a z) (- t x))
28.0ms	(/ 1 (/ (- a z) (- t x)))
0.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

series382.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(/ (- a z) (- t x))
203.0ms	(/ 1 (/ (- a z) (- t x)))
126.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

simplify72.0ms

Counts

223 → 223

Iterations

Useful iterations: 2 (49.0ms)

Iter	Nodes	Cost
0	632	1907
1	2802	1722
2	5001	1551
done	5001	1551

prune385.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
5.1b	(+ (/ (- y z) (/ (- a z) (- t x))) x)
5.9b	(/ (- y z) (/ (- a z) (- t x)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

610×	`times-frac`
572×	`*-un-lft-identity`
570×	`add-sqr-sqrt`
200×	`add-cube-cbrt`
185×	`distribute-lft-out--` `difference-of-squares`
160×	`fma-def`
36×	`associate-/r*`
26×	`associate-/r/`
14×	`flip3--` `flip--` `div-inv`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
5×	`add-log-exp`
4×	`cbrt-undiv` `div-exp` `associate-/l/`
3×	`pow1` `expm1-log1p-u` `div-sub` `log1p-expm1-u`
2×	`frac-2neg` `clear-num`
1×	`+-commutative` `associate-+l-` `flip3-+` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 440

Calls

3 calls:

23.0ms	(/ (- a z) (- t x))
173.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)
40.0ms	(/ (- y z) (/ (- a z) (- t x)))

series548.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(/ (- a z) (- t x))
183.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)
308.0ms	(/ (- y z) (/ (- a z) (- t x)))

simplify101.0ms

Counts

449 → 449

Iterations

Useful iterations: 2 (75.0ms)

Iter	Nodes	Cost
0	1035	3079
1	4296	3003
2	5001	3001
done	5001	3001

prune1.0s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 4.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (- a z) (- t x))
3.9b	(/ y (/ (- a z) (- t x)))
4.9b	(/ z (/ (- a z) (- t x)))
5.3b	(- (/ z (/ (- a z) (- t x))) x)

rewrite315.0ms

Algorithm

rewrite-expression-head

Rules

1086×	`times-frac`
959×	`add-sqr-sqrt`
952×	`*-un-lft-identity`
526×	`add-cube-cbrt`
294×	`prod-diff`
215×	`difference-of-squares`
213×	`distribute-lft-out--`
98×	`fma-neg`
67×	`associate-/r*`
48×	`associate-/r/`
27×	`div-inv`
23×	`flip3--` `flip--`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`sub-neg` `diff-log` `div-sub`

Counts

4 → 752

Calls

4 calls:

23.0ms	(/ (- a z) (- t x))
23.0ms	(/ y (/ (- a z) (- t x)))
24.0ms	(/ z (/ (- a z) (- t x)))
176.0ms	(- (/ z (/ (- a z) (- t x))) x)

series588.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(/ (- a z) (- t x))
147.0ms	(/ y (/ (- a z) (- t x)))
234.0ms	(/ z (/ (- a z) (- t x)))
153.0ms	(- (/ z (/ (- a z) (- t x))) x)

simplify114.0ms

Counts

764 → 764

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1565	10157
1	5002	8230
done	5002	8230

prune1.6s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 4.0b

regimes428.0ms

Accuracy

22.7% (6.4b remaining)

Error of 10.0b against oracle of 3.6b and baseline of 11.9b

bsearch64.0ms

Steps

Iters	Range		Point
3	3.451477070509991e+185	4.4217884413236815e+185	4.1185661379444026e+185
10	-1.1527882871191725e+208	-3.7607102656420555e+196	-5.43006589941952e+202

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	26
1	33	26
done	33	26

end0.0ms

sample751.0ms

Algorithm

intervals

Results

236.0ms	7816×	body	80	valid
49.0ms	470×	body	640	valid
41.0ms	431×	body	320	valid
37.0ms	286×	body	1280	valid
15.0ms	277×	body	160	valid
2.0ms	15×	body	2560	valid