Details

sample13.0ms

Algorithm

intervals

Results

6.0ms

286×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	3
1	19	3
2	43	3
3	55	3
4	59	3
5	67	3
6	87	3
7	123	3
8	198	3
9	381	3
10	454	3
11	629	3
12	889	3
13	1260	3
14	1684	3
15	2354	3
16	5002	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(- (* (+ x 1.0) y) x)

rewrite16.0ms

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×	`associate-*l/`
1×	`sub-neg` `flip3--` `flip3-+` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

6.0ms	(* (+ x 1.0) y)
9.0ms	(- (* (+ x 1.0) y) x)

series47.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(* (+ x 1.0) y)
20.0ms	(- (* (+ x 1.0) y) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	149	159
1	616	147
2	3109	145
3	5001	145

prune59.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	36	4	40

Merged error: 0b

Counts

40 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))
0.2b	(cbrt (+ x 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
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 → 95

Calls

4 calls:

12.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))
3.0ms	(cbrt (+ x 1.0))

series348.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))
82.0ms	(cbrt (+ x 1.0))
82.0ms	(cbrt (+ x 1.0))
85.0ms	(cbrt (+ x 1.0))

simplify144.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	306	792
1	995	747
2	4414	669
3	5003	665

prune206.0ms

Filtered

107 candidates to 75 candidates (70.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	107	4	111

Merged error: 0b

Counts

111 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y))) x)
0.0b	(* (sqrt (+ x 1.0)) (sqrt y))
0.0b	(* (sqrt (+ x 1.0)) (sqrt y))
0.2b	(* (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

67×	`pow1`
41×	`pow-prod-down`
29×	`add-sqr-sqrt`
22×	`sqrt-prod`
20×	`add-exp-log` `sqrt-pow1` `pow1/2` `add-cbrt-cube`
18×	`associate-*l/`
16×	`*-un-lft-identity` `sqrt-div`
15×	`associate-l`
13×	`associate-r`
12×	`add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
8×	`flip3-+` `pow-prod-up` `flip-+` `unswap-sqr`
7×	`sqrt-unprod`
6×	`pow-sqr` `add-log-exp`
4×	`frac-times`
3×	`*-commutative`
2×	`pow-plus` `associate-*r/` `distribute-lft-out`
1×	`pow2` `sub-neg` `flip3--` `diff-log` `swap-sqr` `rem-square-sqrt` `flip--` `difference-of-squares`

Counts

4 → 131

Calls

4 calls:

16.0ms	(- (* (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y))) x)
8.0ms	(* (sqrt (+ x 1.0)) (sqrt y))
8.0ms	(* (sqrt (+ x 1.0)) (sqrt y))
15.0ms	(* (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)))

series241.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(- (* (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y))) x)
88.0ms	(* (sqrt (+ x 1.0)) (sqrt y))
92.0ms	(* (sqrt (+ x 1.0)) (sqrt y))
32.0ms	(* (* (sqrt (+ x 1.0)) (sqrt y)) (* (sqrt (+ x 1.0)) (sqrt y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	400	932
1	1589	746
2	5001	740

prune201.0ms

Filtered

143 candidates to 81 candidates (56.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	143	0	143
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	143	4	147

Merged error: 0b

Counts

147 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) y)
0.0b	(- (* (+ x 1.0) y) x)
0.0b	(pow (- (* (+ x 1.0) y) x) 3)
38.4b	(cbrt (pow (- (* (+ x 1.0) y) x) 3))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`unpow-prod-down` `cube-prod` `add-log-exp`
4×	`cube-div` `associate-l`
3×	`pow-unpow` `flip3--` `associate-r` `flip--`
2×	`cube-mult` `cbrt-div` `unpow3` `associate-*l/` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `pow-pow` `flip3-+` `pow1/3` `diff-log` `pow-prod-down` `pow-exp` `prod-exp` `*-commutative` `rem-cbrt-cube` `cbrt-unprod` `flip-+` `distribute-lft-out` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (+ x 1.0) y)
9.0ms	(- (* (+ x 1.0) y) x)
7.0ms	(pow (- (* (+ x 1.0) y) x) 3)
7.0ms	(cbrt (pow (- (* (+ x 1.0) y) x) 3))

series104.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* (+ x 1.0) y)
19.0ms	(- (* (+ x 1.0) y) x)
36.0ms	(pow (- (* (+ x 1.0) y) x) 3)
19.0ms	(cbrt (pow (- (* (+ x 1.0) y) x) 3))

simplify46.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	304	522
1	1409	496
2	5002	490

prune132.0ms

Filtered

93 candidates to 56 candidates (60.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	93	4	97

Merged error: 0b

Counts

97 → 4

regimes48.0ms

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	8	3
1	8	3

end0.0ms

sample343.0ms

Algorithm

intervals

Results

198.0ms	9112×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	1×	body	640	valid
0.0ms	1×	body	160	valid