Details

sample31.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	249×	body	80	nan

simplify17.0ms

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: 17.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.4b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
16.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite22.0ms

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:

4.0ms	(+ (* x y) (* x z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
10.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series182.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (* x y) (* x z))
23.0ms	(+ (+ (* x y) (* x z)) (* y z))
123.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify143.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (131.0ms)

Iter	Nodes	Cost
0	270	383
1	1009	345
2	4326	336
3	5001	335

prune190.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 17.4b

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
16.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
16.5b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-log-exp`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `fma-def` `*-un-lft-identity`
6×	`pow1` `sum-log` `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` `distribute-lft-out`

Counts

4 → 72

Calls

4 calls:

7.0ms	(+ (+ (* x y) (* x z)) (* y z))
7.0ms	(+ (+ (* x y) (* x z)) (* y z))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
6.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series286.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ (* x y) (* x z)) (* y z))
22.0ms	(+ (+ (* x y) (* x z)) (* y z))
125.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
117.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify107.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	200	618
1	734	550
2	3300	534
3	5001	532

prune335.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 17.4b

localize15.0ms

Local error

Found 4 expressions with local error:

15.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(cbrt (+ (* x y) (* x z)))
16.5b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 65

Calls

4 calls:

5.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
19.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series512.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (+ (* x y) (* x z)))
140.0ms	(cbrt (+ (* x y) (* x z)))
127.0ms	(cbrt (+ (* x y) (* x z)))
120.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify92.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (83.0ms)

Iter	Nodes	Cost
0	291	859
1	852	800
2	2886	779
3	5002	764

prune336.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 17.4b

localize27.0ms

Local error

Found 4 expressions with local error:

15.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(cbrt (+ (* x y) (* x z)))
15.6b	(cbrt (+ (* x y) (* x z)))
16.5b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
9×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `sqrt-prod` `distribute-lft-out`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 65

Calls

4 calls:

4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
4.0ms	(cbrt (+ (* x y) (* x z)))
41.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(cbrt (+ (* x y) (* x z)))
118.0ms	(cbrt (+ (* x y) (* x z)))
125.0ms	(cbrt (+ (* x y) (* x z)))
125.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (* (cbrt (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z))))) (cbrt (cbrt (+ (* x y) (* x z)))))) (* y z)))

simplify128.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	300	1136
1	951	1074
2	3636	1044
3	5001	1037

prune393.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 17.4b

regimes286.0ms

Accuracy

0% (0.1b remaining)

Error of 19.4b against oracle of 19.4b and baseline of 19.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample825.0ms

Algorithm

intervals

Results

261.0ms	8000×	body	80	valid
244.0ms	8113×	body	80	nan