Details

sample77.0ms

Algorithm

intervals

Results

33.0ms	302×	body	80	nan
26.0ms	256×	body	80	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	22	7
1	44	7
2	63	7
3	70	7
4	71	7
5	71	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.0b

localize11.0ms

Local error

Found 3 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (* x y) (* x z))
18.9b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
4×	`pow1` `sum-log`
3×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `sqrt-div` `distribute-lft-out`
1×	`rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2`

Counts

3 → 51

Calls

3 calls:

13.0ms	(+ (+ (* x y) (* x z)) (* y z))
3.0ms	(+ (* x y) (* x z))
16.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series187.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+ (+ (* x y) (* x z)) (* y z))
41.0ms	(+ (* x y) (* x z))
122.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify145.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (139.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	344
2	4339	335
3	5001	334

prune209.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 19.9b

localize10.0ms

Local error

Found 2 expressions with local error:

0.8b	(fma x (+ y z) (* y z))
18.9b	(sqrt (fma x (+ y z) (* y z)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

2 → 25

Calls

2 calls:

4.0ms	(fma x (+ y z) (* y z))
1.0ms	(sqrt (fma x (+ y z) (* y z)))

series146.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(fma x (+ y z) (* y z))
123.0ms	(sqrt (fma x (+ y z) (* y z)))

simplify111.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	106	164
1	261	147
2	833	144
3	4087	141
4	5001	141

prune124.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 19.9b

localize11.0ms

Local error

Found 3 expressions with local error:

0.8b	(fma x y (* x z))
1.0b	(+ (fma x y (* x z)) (* y z))
18.9b	(sqrt (+ (fma x y (* x z)) (* y z)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
4×	`pow1`
3×	`add-exp-log` `expm1-log1p-u` `fma-def` `sqrt-prod` `add-cbrt-cube` `log1p-expm1-u`
2×	`flip3-+` `sqrt-div` `flip-+` `fma-udef`
1×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `sum-log`

Counts

3 → 44

Calls

3 calls:

0.0ms	(fma x y (* x z))
2.0ms	(+ (fma x y (* x z)) (* y z))
3.0ms	(sqrt (+ (fma x y (* x z)) (* y z)))

series199.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(fma x y (* x z))
33.0ms	(+ (fma x y (* x z)) (* y z))
127.0ms	(sqrt (+ (fma x y (* x z)) (* y z)))

simplify99.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 3 (93.0ms)

Iter	Nodes	Cost
0	187	303
1	662	279
2	2639	274
3	5001	272

prune202.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 19.9b

localize18.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (fma x y (* x z)) (* y z))
1.0b	(+ (fma x y (* x z)) (* y z))
18.9b	(sqrt (+ (fma x y (* x z)) (* y z)))
18.9b	(sqrt (+ (fma x y (* x z)) (* y z)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
6×	`pow1` `fma-def` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `sum-log` `fma-udef`

Counts

4 → 68

Calls

4 calls:

2.0ms	(+ (fma x y (* x z)) (* y z))
2.0ms	(+ (fma x y (* x z)) (* y z))
3.0ms	(sqrt (+ (fma x y (* x z)) (* y z)))
3.0ms	(sqrt (+ (fma x y (* x z)) (* y z)))

series311.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+ (fma x y (* x z)) (* y z))
26.0ms	(+ (fma x y (* x z)) (* y z))
123.0ms	(sqrt (+ (fma x y (* x z)) (* y z)))
127.0ms	(sqrt (+ (fma x y (* x z)) (* y z)))

simplify87.0ms

Algorithm

egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 3 (79.0ms)

Iter	Nodes	Cost
0	177	530
1	563	478
2	2209	472
3	5002	468

prune345.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.9b

regimes113.0ms

Accuracy

0% (0.1b remaining)

Error of 19.6b against oracle of 19.5b and baseline of 19.6b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample2.0s

Algorithm

intervals

Results

842.0ms	8000×	body	80	valid
802.0ms	8035×	body	80	nan