Details

sample40.0ms

Algorithm

intervals

Results

19.0ms	279×	body	80	valid
3.0ms	12×	body	640	valid
2.0ms	7×	body	1280	valid
1.0ms	11×	body	160	valid
1.0ms	6×	body	320	valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	20	6
1	45	6
2	116	5
3	324	5
4	861	5
5	1912	5
6	4581	5
7	5001	5

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- y z) (- a z))
3.3b	(fma (/ (- y z) (- a z)) (- t x) 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	(/ (- y z) (- a z))
0.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

series175.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(/ (- y z) (- a z))
122.0ms	(fma (/ (- y z) (- a z)) (- t x) x)

simplify64.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	265	450
1	729	425
2	2562	423
3	5002	421

prune208.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 2.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a z))
0.0b	(- (/ y (- a z)) (/ z (- a z)))
0.0b	(/ y (- a z))
3.3b	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

rewrite139.0ms

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:

5.0ms	(/ z (- a z))
73.0ms	(- (/ y (- a z)) (/ z (- a z)))
5.0ms	(/ y (- a z))
0.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

series269.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(/ z (- a z))
72.0ms	(- (/ y (- a z)) (/ z (- a z)))
30.0ms	(/ y (- a z))
118.0ms	(fma (- (/ y (- a z)) (/ z (- a z))) (- t x) x)

simplify180.0ms

Algorithm

egg-herbie

Counts

593 → 593

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	1243	15707
1	3336	11721
2	5001	11629

prune1.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.6b

localize11.0ms

Local error

Found 2 expressions with local error:

0.2b	(* (/ 1 (- a z)) (- y z))
3.7b	(fma (* (/ 1 (- a z)) (- y z)) (- t x) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

39×	`add-sqr-sqrt`
33×	`*-un-lft-identity`
24×	`add-cube-cbrt`
21×	`associate-l`
18×	`prod-diff`
17×	`times-frac`
11×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in`
7×	`add-cbrt-cube`
5×	`associate-r`
4×	`pow1` `prod-exp` `distribute-lft-out--` `difference-of-squares`
3×	`flip3--` `flip--` `unswap-sqr`
2×	`expm1-log1p-u` `frac-times` `sub-neg` `associate-*r/` `div-exp` `associate-/r/` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `rec-exp` `1-exp` `pow-prod-down` `associate-l/` `-commutative` `fma-udef` `div-inv`

Counts

2 → 83

Calls

2 calls:

31.0ms	(* (/ 1 (- a z)) (- y z))
0.0ms	(fma (* (/ 1 (- a z)) (- y z)) (- t x) x)

series278.0ms

Counts

2 → 6

Calls

2 calls:

146.0ms	(* (/ 1 (- a z)) (- y z))
132.0ms	(fma (* (/ 1 (- a z)) (- y z)) (- t x) x)

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	442	750
1	1729	526
2	5002	502

prune228.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 2.6b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ z (- a z))
0.0b	(+ (/ y (- a z)) (- (/ z (- a z))))
0.0b	(/ y (- a z))
3.3b	(fma (+ (/ y (- a z)) (- (/ z (- a z)))) (- t x) x)

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

85×	`*-un-lft-identity`
61×	`add-sqr-sqrt`
59×	`times-frac`
35×	`add-cube-cbrt`
21×	`fma-def`
15×	`distribute-lft-out--`
13×	`difference-of-squares`
10×	`associate-/r*` `associate-/r/`
9×	`distribute-lft-out`
8×	`add-exp-log` `distribute-rgt-neg-in` `add-cbrt-cube` `add-log-exp`
6×	`associate-/l*`
5×	`flip3--` `flip--` `div-inv`
4×	`pow1` `expm1-log1p-u` `log1p-expm1-u`
3×	`distribute-lft-neg-in` `distribute-rgt-out`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `sum-log`
1×	`+-commutative` `neg-sub0` `associate-+r-` `flip3-+` `unsub-neg` `neg-log` `frac-add` `flip-+` `fma-udef` `distribute-neg-frac`

Counts

4 → 139

Calls

4 calls:

5.0ms	(/ z (- a z))
80.0ms	(+ (/ y (- a z)) (- (/ z (- a z))))
5.0ms	(/ y (- a z))
0.0ms	(fma (+ (/ y (- a z)) (- (/ z (- a z)))) (- t x) x)

series276.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(/ z (- a z))
69.0ms	(+ (/ y (- a z)) (- (/ z (- a z))))
36.0ms	(/ y (- a z))
120.0ms	(fma (+ (/ y (- a z)) (- (/ z (- a z)))) (- t x) x)

simplify114.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	370	734
1	1257	682
2	4751	675
3	5001	675

prune449.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 2.6b

regimes313.0ms

Accuracy

38.8% (4.9b remaining)

Error of 8.4b against oracle of 3.5b and baseline of 11.5b

bsearch2.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	24
1	34	24

end0.0ms

sample1.1s

Algorithm

intervals

Results

497.0ms	7836×	body	80	valid
111.0ms	463×	body	640	valid
83.0ms	272×	body	1280	valid
70.0ms	380×	body	320	valid
33.0ms	276×	body	160	valid
6.0ms	18×	body	2560	valid