Details

sample26.0ms

Algorithm

intervals

Results

7.0ms	242×	body	80	valid
2.0ms	16×	body	640	valid
1.0ms	8×	body	1280	valid
1.0ms	13×	body	320	valid
1.0ms	17×	body	160	valid
0.0ms	2×	body	2560	valid

simplify53.0ms

Algorithm

egg-herbie

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

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.8b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
15.8b	(fma (- y z) (/ (- t x) (- a z)) x)

rewrite14.0ms

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:

12.0ms	(/ (- t x) (- a z))
0.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

series139.0ms

Counts

2 → 6

Calls

2 calls:

50.0ms	(/ (- t x) (- a z))
89.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (51.0ms)

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

prune199.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.3b	(/ 1 (/ (- a z) (- t x)))
15.9b	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite37.0ms

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:

11.0ms	(/ (- a z) (- t x))
14.0ms	(/ 1 (/ (- a z) (- t x)))
0.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

series356.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ (- a z) (- t x))
190.0ms	(/ 1 (/ (- a z) (- t x)))
114.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

simplify69.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (50.0ms)

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

prune387.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 5.3b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
4.5b	(/ (- y z) (/ (- a z) (- t x)))
4.7b	(+ (/ (- y z) (/ (- a z) (- t x))) x)

rewrite204.0ms

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:

14.0ms	(/ (- a z) (- t x))
21.0ms	(/ (- y z) (/ (- a z) (- t x)))
136.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)

series524.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(/ (- a z) (- t x))
301.0ms	(/ (- y z) (/ (- a z) (- t x)))
174.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)

simplify111.0ms

Algorithm

egg-herbie

Counts

449 → 449

Iterations

Useful iterations: 2 (77.0ms)

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

prune1.0s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 4.2b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (/ (- a z) (- t x))) (- (/ z (/ (- a z) (- t x))) x))
3.0b	(/ y (/ (- a z) (- t x)))
3.7b	(/ z (/ (- a z) (- t x)))
5.7b	(- (/ z (/ (- a z) (- t x))) x)

rewrite766.0ms

Algorithm

rewrite-expression-head

Rules

3385×	`add-sqr-sqrt`
3206×	`times-frac`
2688×	`*-un-lft-identity`
1425×	`add-cube-cbrt`
1274×	`prod-diff`
830×	`difference-of-squares`
632×	`distribute-lft-out--`
296×	`associate--r+`
196×	`fma-neg`
123×	`associate-/r/`
70×	`div-inv`
62×	`associate-/r*`
56×	`flip3--` `flip--`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
4×	`pow1` `expm1-log1p-u` `diff-log` `log1p-expm1-u`
3×	`sub-neg`
2×	`frac-2neg` `clear-num` `frac-sub`
1×	`associate--r-`

Counts

4 → 1801

Calls

4 calls:

387.0ms	(- (/ y (/ (- a z) (- t x))) (- (/ z (/ (- a z) (- t x))) x))
14.0ms	(/ y (/ (- a z) (- t x)))
14.0ms	(/ z (/ (- a z) (- t x)))
133.0ms	(- (/ z (/ (- a z) (- t x))) x)

series675.0ms

Counts

4 → 12

Calls

4 calls:

153.0ms	(- (/ y (/ (- a z) (- t x))) (- (/ z (/ (- a z) (- t x))) x))
139.0ms	(/ y (/ (- a z) (- t x)))
230.0ms	(/ z (/ (- a z) (- t x)))
152.0ms	(- (/ z (/ (- a z) (- t x))) x)

simplify460.0ms

Algorithm

egg-herbie

Counts

1813 → 1813

Iterations

Useful iterations: 1 (49.0ms)

Iter	Nodes	Cost
0	3266	54187
1	5002	47209

prune4.6s

Pruning

24 alts after pruning (24 fresh and 0 done)

Merged error: 4.1b

regimes600.0ms

Accuracy

24.6% (6.5b remaining)

Error of 10.1b against oracle of 3.5b and baseline of 12.2b

bsearch91.0ms

Steps

Iters	Range		Point
7	1.2365349753283163e+177	4.093072191635401e+178	1.7200626204721968e+178
7	-1.3559426793351635e+166	-7.379743245530255e+163	-3.3214368401078084e+165

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	28
1	36	28

end0.0ms

sample676.0ms

Algorithm

intervals

Results

251.0ms	7863×	body	80	valid
53.0ms	471×	body	640	valid
44.0ms	268×	body	1280	valid
35.0ms	379×	body	320	valid
16.0ms	274×	body	160	valid
3.0ms	19×	body	2560	valid