Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	265×	body	80	nan

simplify11.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.6b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite34.0ms

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:

2.0ms	(+ (* x y) (* x z))
16.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (* x y) (* x z))
20.0ms	(+ (+ (* x y) (* x z)) (* y z))
102.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify124.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (116.0ms)

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

prune162.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 19.0b

localize8.0ms

Local error

Found 2 expressions with local error:

1.6b	(+ (* x (+ y z)) (* y z))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

5.0ms	(+ (* x (+ y z)) (* y z))
7.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series128.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* x (+ y z)) (* y z))
104.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (84.0ms)

Iter	Nodes	Cost
0	201	264
1	674	243
2	2998	240
3	5001	238

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.0b

localize11.0ms

Local error

Found 4 expressions with local error:

1.6b	(+ (* x (+ y z)) (* y z))
1.6b	(+ (* x (+ y z)) (* y z))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))
18.0b	(sqrt (+ (* x (+ y z)) (* y z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

5.0ms	(+ (* x (+ y z)) (* y z))
5.0ms	(+ (* x (+ y z)) (* y z))
7.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
7.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

series256.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (* x (+ y z)) (* y z))
21.0ms	(+ (* x (+ y z)) (* y z))
109.0ms	(sqrt (+ (* x (+ y z)) (* y z)))
105.0ms	(sqrt (+ (* x (+ y z)) (* y z)))

simplify90.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	201	530
1	674	488
2	2998	482
3	5001	478

prune275.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 19.0b

localize18.0ms

Local error

Found 4 expressions with local error:

18.0b	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
18.6b	(cbrt (+ (* x (+ y z)) (* y z)))
18.6b	(cbrt (+ (* x (+ y z)) (* y z)))
18.6b	(cbrt (+ (* x (+ y z)) (* y z)))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div`
30×	`flip3-+` `flip-+`
28×	`frac-times`
26×	`sqrt-div`
24×	`pow1`
15×	`sqrt-pow1`
14×	`associate-*l/`
12×	`pow1/3`
9×	`cbrt-prod` `pow-prod-up`
8×	`associate-*r/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow-plus`
5×	`pow-prod-down`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-sqr`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 97

Calls

4 calls:

51.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
4.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
4.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
7.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

series715.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(sqrt (* (* (cbrt (+ (* x (+ y z)) (* y z))) (cbrt (+ (* x (+ y z)) (* y z)))) (cbrt (+ (* x (+ y z)) (* y z)))))
204.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
201.0ms	(cbrt (+ (* x (+ y z)) (* y z)))
202.0ms	(cbrt (+ (* x (+ y z)) (* y z)))

simplify122.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	377	1923
1	935	1866
2	3485	1823
3	5001	1805

prune395.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 19.0b

regimes91.0ms

Accuracy

0% (0.1b remaining)

Error of 19.9b against oracle of 19.8b and baseline of 19.9b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	6
1	15	6

end0.0ms

sample808.0ms

Algorithm

intervals

Results

251.0ms	8006×	body	80	nan
248.0ms	8000×	body	80	valid