Details

sample27.0ms

Algorithm

intervals

Results

7.0ms	261×	body	80	valid
2.0ms	18×	body	640	valid
1.0ms	5×	body	1280	valid
1.0ms	7×	body	320	valid
0.0ms	9×	body	160	valid

simplify52.0ms

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: 12.5b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- t x) (- a z))
12.5b	(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)

series131.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(/ (- t x) (- a z))
84.0ms	(fma (- y z) (/ (- t x) (- a z)) x)

simplify59.0ms

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

prune191.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 3.8b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ x (- a z))
0.0b	(- (/ t (- a z)) (/ x (- a z)))
12.5b	(fma (- y z) (- (/ t (- a z)) (/ x (- a z))) x)

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 542

Calls

3 calls:

10.0ms	(/ x (- a z))
104.0ms	(- (/ t (- a z)) (/ x (- a z)))
0.0ms	(fma (- y z) (- (/ t (- a z)) (/ x (- a z))) x)

series237.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(/ x (- a z))
100.0ms	(- (/ t (- a z)) (/ x (- a z)))
107.0ms	(fma (- y z) (- (/ t (- a z)) (/ x (- a z))) x)

simplify168.0ms

Algorithm

egg-herbie

Counts

551 → 551

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	1214	15517
1	3121	11556
2	5001	10315

prune786.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 3.5b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
0.3b	(/ 1 (/ (- a z) (- t x)))
12.5b	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

rewrite66.0ms

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)

series333.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(/ (- a z) (- t x))
183.0ms	(/ 1 (/ (- a z) (- t x)))
105.0ms	(fma (- y z) (/ 1 (/ (- a z) (- t x))) x)

simplify70.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	632	1907
1	2802	1722
2	5003	1551

prune378.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 3.2b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- t x))
3.6b	(/ (- y z) (/ (- a z) (- t x)))
3.8b	(+ (/ (- y z) (/ (- a z) (- t x))) x)

rewrite268.0ms

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))
36.0ms	(/ (- y z) (/ (- a z) (- t x)))
175.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)

series487.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (- a z) (- t x))
276.0ms	(/ (- y z) (/ (- a z) (- t x)))
161.0ms	(+ (/ (- y z) (/ (- a z) (- t x))) x)

simplify103.0ms

Algorithm

egg-herbie

Counts

449 → 449

Iterations

Useful iterations: 2 (73.0ms)

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

prune989.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 1.7b

regimes284.0ms

Accuracy

27.9% (6.3b remaining)

Error of 10.0b against oracle of 3.6b and baseline of 12.4b

bsearch66.0ms

Steps

Iters	Range		Point
4	1.0642321506999995e+112	1.5690386718533733e+112	1.3008602074906434e+112
9	-8.821292897968335e+235	-5.4618407581918756e+227	-7.1792620013319e+227

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	10
1	30	10
2	30	10

end0.0ms

sample764.0ms

Algorithm

intervals

Results

237.0ms	7788×	body	80	valid
50.0ms	487×	body	640	valid
40.0ms	279×	body	1280	valid
35.0ms	437×	body	320	valid
13.0ms	250×	body	160	valid
2.0ms	12×	body	2560	valid