Details

sample18.0ms

Algorithm

intervals

Results

6.0ms	308×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	3×	body	160	valid
0.0ms	1×	body	640	valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	4
1	28	4
2	38	4
3	41	4
4	41	4

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
0.0b	(+ (* x (+ y z)) (* z 5.0))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

20.0ms	(* x (+ y z))
13.0ms	(+ (* x (+ y z)) (* z 5.0))

series51.0ms

Counts

2 → 6

Calls

2 calls:

25.0ms	(* x (+ y z))
25.0ms	(+ (* x (+ y z)) (* z 5.0))

simplify117.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	212	186
1	877	169
2	4182	168
3	5001	168

prune78.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* y x) (* z (+ x 5.0)))
0.0b	(* z (+ x 5.0))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
3×	`associate-l`
2×	`distribute-rgt-in` `associate-+r+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

9.0ms	(+ (* y x) (* z (+ x 5.0)))
23.0ms	(* z (+ x 5.0))

series52.0ms

Counts

2 → 6

Calls

2 calls:

24.0ms	(+ (* y x) (* z (+ x 5.0)))
28.0ms	(* z (+ x 5.0))

simplify127.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	210	182
1	941	168
2	4793	168
3	5002	168

prune86.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 5.0))
0.0b	(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
0.2b	(* z (sqrt (+ x 5.0)))
0.3b	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

16×	`*-un-lft-identity` `sqrt-div`
15×	`add-sqr-sqrt`
14×	`associate-r`
13×	`sqrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
10×	`add-cube-cbrt` `associate-*r/`
9×	`flip3-+` `flip-+`
6×	`add-log-exp`
4×	`frac-times` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`distribute-lft-out`
2×	`associate-l/` `-commutative` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

4 → 82

Calls

4 calls:

9.0ms	(sqrt (+ x 5.0))
9.0ms	(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
23.0ms	(* z (sqrt (+ x 5.0)))
53.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(sqrt (+ x 5.0))
23.0ms	(+ (* y x) (* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0))))
54.0ms	(* z (sqrt (+ x 5.0)))
28.0ms	(* (* z (sqrt (+ x 5.0))) (sqrt (+ x 5.0)))

simplify53.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	405	639
1	1851	541
2	5003	528

prune209.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (sqrt (+ x 5.0)))
0.1b	(* z (sqrt (sqrt (+ x 5.0))))
0.3b	(* (* z (sqrt (sqrt (+ x 5.0)))) (sqrt (sqrt (+ x 5.0))))
0.3b	(* (* (* z (sqrt (sqrt (+ x 5.0)))) (sqrt (sqrt (+ x 5.0)))) (sqrt (+ x 5.0)))

rewrite305.0ms

Algorithm

rewrite-expression-head

Rules

122×	`sqrt-div`
41×	`sqrt-prod`
36×	`associate-*r/`
35×	`flip3-+` `flip-+`
32×	`frac-times`
27×	`associate-r`
23×	`add-sqr-sqrt` `*-un-lft-identity`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/`
15×	`add-cube-cbrt`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`sqrt-pow1` `distribute-lft-out` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 135

Calls

4 calls:

8.0ms	(sqrt (sqrt (+ x 5.0)))
27.0ms	(* z (sqrt (sqrt (+ x 5.0))))
61.0ms	(* (* z (sqrt (sqrt (+ x 5.0)))) (sqrt (sqrt (+ x 5.0))))
201.0ms	(* (* (* z (sqrt (sqrt (+ x 5.0)))) (sqrt (sqrt (+ x 5.0)))) (sqrt (+ x 5.0)))

series487.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (sqrt (+ x 5.0)))
319.0ms	(* z (sqrt (sqrt (+ x 5.0))))
56.0ms	(* (* z (sqrt (sqrt (+ x 5.0)))) (sqrt (sqrt (+ x 5.0))))
29.0ms	(* (* (* z (sqrt (sqrt (+ x 5.0)))) (sqrt (sqrt (+ x 5.0)))) (sqrt (+ x 5.0)))

simplify94.0ms

Algorithm

egg-herbie

Counts

147 → 147

Iterations

Useful iterations: 2 (78.0ms)

Iter	Nodes	Cost
0	688	1604
1	3192	1334
2	5003	1273

prune388.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes81.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample513.0ms

Algorithm

intervals

Results

205.0ms	9761×	body	80	valid
11.0ms	117×	body	1280	valid
9.0ms	123×	body	640	valid
3.0ms	58×	body	320	valid
1.0ms	36×	body	160	valid