Details

sample30.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
7.0ms	228×	body	80	nan

simplify14.0ms

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: 19.1b

localize10.0ms

Local error

Found 3 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite31.0ms

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))
12.0ms	(+ (+ (* x y) (* x z)) (* y z))
15.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series169.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(+ (* x y) (* x z))
22.0ms	(+ (+ (* x y) (* x z)) (* y z))
114.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify136.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (130.0ms)

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

prune178.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 19.1b

localize12.0ms

Local error

Found 4 expressions with local error:

1.0b	(+ (+ (* x y) (* x z)) (* y z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

rewrite54.0ms

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:

12.0ms	(+ (+ (* x y) (* x z)) (* y z))
12.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

series272.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(+ (+ (* x y) (* x z)) (* y z))
22.0ms	(+ (+ (* x y) (* x z)) (* y z))
112.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
115.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))

simplify108.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (101.0ms)

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

prune309.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 19.1b

localize13.0ms

Local error

Found 4 expressions with local error:

14.9b	(cbrt (+ (* x y) (* x z)))
14.9b	(cbrt (+ (* x y) (* x z)))
14.9b	(cbrt (+ (* x y) (* x z)))
18.0b	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

rewrite65.0ms

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:

2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
2.0ms	(cbrt (+ (* x y) (* x z)))
57.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

series467.0ms

Counts

4 → 12

Calls

4 calls:

114.0ms	(cbrt (+ (* x y) (* x z)))
122.0ms	(cbrt (+ (* x y) (* x z)))
118.0ms	(cbrt (+ (* x y) (* x z)))
113.0ms	(sqrt (+ (* (* (cbrt (+ (* x y) (* x z))) (cbrt (+ (* x y) (* x z)))) (cbrt (+ (* x y) (* x z)))) (* y z)))

simplify90.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (81.0ms)

Iter	Nodes	Cost
0	291	860
1	852	801
2	2886	780
3	5002	765

prune307.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 19.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.8b	(+ (* x y) (* x z))
1.0b	(+ (+ (* x y) (* x z)) (* y z))
18.0b	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
31.2b	(cbrt (pow (sqrt (+ (+ (* x y) (* x z)) (* y z))) 3))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
12×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
9×	`sqrt-prod`
6×	`unpow-prod-down` `cube-prod`
5×	`pow1` `fma-def`
4×	`add-exp-log` `expm1-log1p-u` `flip3-+` `sqrt-div` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
2×	`+-commutative` `cube-div` `cbrt-div` `distribute-lft-out`
1×	`cube-mult` `rem-sqrt-square` `associate-+l+` `sqrt-pow1` `pow1/2` `pow1/3` `unpow3` `rem-cbrt-cube` `sqr-pow`

Counts

4 → 82

Calls

4 calls:

3.0ms	(+ (* x y) (* x z))
13.0ms	(+ (+ (* x y) (* x z)) (* y z))
14.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
17.0ms	(cbrt (pow (sqrt (+ (+ (* x y) (* x z)) (* y z))) 3))

series269.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(+ (* x y) (* x z))
24.0ms	(+ (+ (* x y) (* x z)) (* y z))
106.0ms	(sqrt (+ (+ (* x y) (* x z)) (* y z)))
108.0ms	(cbrt (pow (sqrt (+ (+ (* x y) (* x z)) (* y z))) 3))

simplify53.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	370	717
1	1410	670
2	5001	654

prune247.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 19.0b

regimes167.0ms

Accuracy

0% (0.1b remaining)

Error of 19.7b against oracle of 19.6b and baseline of 19.7b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms

sample849.0ms

Algorithm

intervals

Results

263.0ms	8000×	body	80	valid
250.0ms	8062×	body	80	nan