Details

sample16.0ms

Algorithm

intervals

Results

7.0ms	301×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	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

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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:

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

series56.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify119.0ms

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

prune81.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 32

Calls

2 calls:

10.0ms	(* (+ y z) x)
8.0ms	(+ (* (+ y z) x) (* z 5.0))

series49.0ms

Counts

2 → 6

Calls

2 calls:

21.0ms	(* (+ y z) x)
29.0ms	(+ (* (+ y z) x) (* z 5.0))

simplify106.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	187	178
1	824	161
2	4095	160
3	5001	160

prune85.0ms

Filtered

38 candidates to 29 candidates (76.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

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:

10.0ms	(* z (+ x 5.0))
3.0ms	(+ (* y x) (* z (+ x 5.0)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(* z (+ x 5.0))
26.0ms	(+ (* y x) (* z (+ x 5.0)))

simplify129.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	210	182
1	941	168
2	4788	168
3	5001	168

prune87.0ms

Filtered

42 candidates to 29 candidates (69.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt x) (cbrt x))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series731.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt x) (cbrt x))
174.0ms	(cbrt x)
182.0ms	(cbrt x)
177.0ms	(cbrt x)

simplify97.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	115	288
1	472	261
2	2959	238
3	5003	235

prune201.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes83.0ms

Accuracy

0% (0.1b 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

sample444.0ms

Algorithm

intervals

Results

218.0ms	9710×	body	80	valid
11.0ms	110×	body	1280	valid
10.0ms	129×	body	640	valid
4.0ms	67×	body	320	valid
1.0ms	29×	body	160	valid