Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

355×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	3
1	23	3
2	38	3
3	47	3
4	47	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: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 1.0 (* x y)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 24

Calls

1 calls:

5.0ms

(* x (- 1.0 (* x y)))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* x (- 1.0 (* x y)))

simplify83.0ms

Algorithm

egg-herbie

Counts

27 → 27

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	122	130
1	534	113
2	2890	113
3	5002	113

prune42.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	22	5	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (- (* x y))))
0.1b	(* x (- (* x y)))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 36

Calls

2 calls:

3.0ms	(+ (* x 1.0) (* x (- (* x y))))
5.0ms	(* x (- (* x y)))

series61.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x 1.0) (* x (- (* x y))))
20.0ms	(* x (- (* x y)))

simplify44.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	181	210
1	1035	183
2	5001	179

prune67.0ms

Filtered

42 candidates to 32 candidates (76.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	42	5	47

Merged error: 0.0b

Counts

47 → 5

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))

rewrite19.0ms

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:

9.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))

series910.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
227.0ms	(cbrt (- 1.0 (* x y)))
235.0ms	(cbrt (- 1.0 (* x y)))
230.0ms	(cbrt (- 1.0 (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	354	1088
1	1360	1031
2	5001	970

prune223.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	98	6	104

Merged error: 0.0b

Counts

104 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(cbrt (- 1.0 (* x y)))
0.2b	(* (* x y) (* x y))
5.2b	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

43×	`pow1`
17×	`pow-prod-down`
16×	`add-exp-log` `add-cbrt-cube`
10×	`cbrt-prod`
8×	`prod-exp` `cbrt-unprod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
4×	`pow-sqr` `pow-prod-up` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
2×	`pow-plus`
1×	`pow2` `swap-sqr` `associate-r` `associate-l` `*-commutative` `difference-of-squares`

Counts

4 → 74

Calls

4 calls:

6.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
7.0ms	(* (* x y) (* x y))
4.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series609.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(cbrt (- 1.0 (* x y)))
234.0ms	(cbrt (- 1.0 (* x y)))
31.0ms	(* (* x y) (* x y))
116.0ms	(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify56.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	355	631
1	1457	579
2	5001	573

prune214.0ms

Filtered

86 candidates to 57 candidates (66.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	86	6	92

Merged error: 0.0b

Counts

92 → 6

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	5
1	23	5
2	24	5
3	24	5

end0.0ms

sample437.0ms

Algorithm

intervals

Results

260.0ms

10723×

body

valid