Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

465×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	15	4
1	25	4
2	27	4
3	27	4

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ 2.0 x))
0.0b	(+ (* y y) (* x (+ 2.0 x)))

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:

5.0ms	(* x (+ 2.0 x))
6.0ms	(+ (* y y) (* x (+ 2.0 x)))

series71.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* x (+ 2.0 x))
29.0ms	(+ (* y y) (* x (+ 2.0 x)))

simplify35.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	206	183
1	1038	169
2	5001	169

prune53.0ms

Filtered

42 candidates to 27 candidates (64.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	39	5	44

Merged error: 0.0b

Counts

44 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 2.0) (* x x))
0.0b	(+ (+ (* x 2.0) (* x x)) (* y y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+` `distribute-lft-out`

Counts

2 → 25

Calls

2 calls:

3.0ms	(+ (* x 2.0) (* x x))
6.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

series84.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x 2.0) (* x x))
29.0ms	(+ (+ (* x 2.0) (* x x)) (* y y))

simplify97.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	182	191
1	887	164
2	3634	160
3	5002	160

prune45.0ms

Filtered

31 candidates to 23 candidates (74.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	31	0	31
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	31	5	36

Merged error: 0.0b

Counts

36 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))
0.6b	(cbrt (+ (* y y) (* x (+ 2.0 x))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

10.0ms	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
3.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

series430.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(* (cbrt (+ (* y y) (* x (+ 2.0 x)))) (cbrt (+ (* y y) (* x (+ 2.0 x)))))
98.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
99.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))
100.0ms	(cbrt (+ (* y y) (* x (+ 2.0 x))))

simplify125.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	263	1232
1	964	1153
2	4410	1071
3	5001	1064

prune200.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	99	5	104

Merged error: 0.0b

Counts

104 → 5

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* y y) (exp (log (* x (+ 2.0 x)))))
0.0b	(* x (+ 2.0 x))
4.0b	(exp (log (* x (+ 2.0 x))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 50

Calls

3 calls:

7.0ms	(+ (* y y) (exp (log (* x (+ 2.0 x)))))
6.0ms	(* x (+ 2.0 x))
5.0ms	(exp (log (* x (+ 2.0 x))))

series117.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ (* y y) (exp (log (* x (+ 2.0 x)))))
43.0ms	(* x (+ 2.0 x))
44.0ms	(exp (log (* x (+ 2.0 x))))

simplify35.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	243	270
1	1138	236
2	5002	236

prune83.0ms

Filtered

59 candidates to 37 candidates (62.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	59	5	64

Merged error: 0.0b

Counts

64 → 5

regimes91.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	4
1	10	4

end0.0ms

sample645.0ms

Algorithm

intervals

Results

419.0ms

14345×

body

valid