Details

sample28.0ms

Algorithm

intervals

Results

16.0ms

280×

body

valid

simplify66.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	17	5
1	35	5
2	63	4
3	107	4
4	169	4
5	239	4
6	288	4
7	356	4
8	407	4
9	533	4
10	755	4
11	1256	4
12	1302	4
13	1304	4
14	1304	4

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
1.1b	(fma (/ (- y z) (- a z)) t x)

rewrite15.0ms

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

series138.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
84.0ms	(fma (/ (- y z) (- a z)) t x)

simplify60.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	258	433
1	705	410
2	2399	410
3	5001	410

prune193.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ z (- a z))
0.0b	(/ y (- a z))
1.1b	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

713×	`*-un-lft-identity`
703×	`add-sqr-sqrt`
693×	`times-frac`
441×	`prod-diff`
413×	`add-cube-cbrt`
149×	`distribute-lft-out--`
143×	`difference-of-squares`
94×	`associate-/r/`
48×	`flip3--` `flip--`
47×	`div-inv`
21×	`fma-neg`
10×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-rgt-out--`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num`
1×	`sub-neg` `diff-log` `frac-sub` `fma-udef` `sub-div`

Counts

4 → 581

Calls

4 calls:

76.0ms	(- (/ y (- a z)) (/ z (- a z)))
5.0ms	(/ z (- a z))
5.0ms	(/ y (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

series326.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(- (/ y (- a z)) (/ z (- a z)))
46.0ms	(/ z (- a z))
33.0ms	(/ y (- a z))
175.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) t x)

simplify178.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	1233	15689
1	3297	11705
2	5001	11613

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.1b	(fma (- (/ (* (cbrt y) (cbrt y)) (/ (- a z) (cbrt y))) (/ z (- a z))) t x)

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`fma-udef`

Counts

4 → 49

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
0.0ms	(fma (- (/ (* (cbrt y) (cbrt y)) (/ (- a z) (cbrt y))) (/ z (- a z))) t x)

series782.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt y)
194.0ms	(cbrt y)
188.0ms	(cbrt y)
211.0ms	(fma (- (/ (* (cbrt y) (cbrt y)) (/ (- a z) (cbrt y))) (/ z (- a z))) t x)

simplify78.0ms

Algorithm

egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 4 (73.0ms)

Iter	Nodes	Cost
0	85	291
1	188	259
2	538	249
3	2377	246
4	5001	244

prune240.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (- a z) (- y z))
0.5b	(/ 1 (/ (- a z) (- y z)))
1.1b	(fma (/ 1 (/ (- a z) (- y z))) t x)

rewrite42.0ms

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:

16.0ms	(/ (- a z) (- y z))
14.0ms	(/ 1 (/ (- a z) (- y z)))
0.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

series390.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ (- a z) (- y z))
139.0ms	(/ 1 (/ (- a z) (- y z)))
194.0ms	(fma (/ 1 (/ (- a z) (- y z))) t x)

simplify70.0ms

Algorithm

egg-herbie

Counts

223 → 223

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	620	1891
1	2764	1708
2	5002	1537

prune414.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes227.0ms

Accuracy

27.5% (1.0b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.5b

bsearch1.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	24
1	27	24

end0.0ms

sample783.0ms

Algorithm

intervals

Results

512.0ms	8707×	body	80	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid