Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

362×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize5.0ms

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)))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify85.0ms

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

prune46.0ms

Filtered

27 candidates to 16 candidates (59.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	22	6	28

Merged error: 0.0b

Counts

28 → 6

localize7.0ms

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)))

series64.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x 1.0) (* x (- (* x y))))
24.0ms	(* x (- (* x y)))

simplify45.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (41.0ms)

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

prune68.0ms

Filtered

42 candidates to 32 candidates (76.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	42	6	48

Merged error: 0.0b

Counts

48 → 6

localize9.0ms

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)))

rewrite21.0ms

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:

8.0ms	(* (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)))

series936.0ms

Counts

4 → 12

Calls

4 calls:

231.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
231.0ms	(cbrt (- 1.0 (* x y)))
238.0ms	(cbrt (- 1.0 (* x y)))
235.0ms	(cbrt (- 1.0 (* x y)))

simplify48.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

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

prune270.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	97	8	105

Merged error: 0.0b

Counts

105 → 8

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

2.0ms	(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)))

series947.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (- 1.0 (* x y)))
237.0ms	(cbrt (- 1.0 (* x y)))
234.0ms	(cbrt (- 1.0 (* x y)))
240.0ms	(cbrt (- 1.0 (* x y)))

simplify89.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (19.0ms)

Iter	Nodes	Cost
0	196	696
1	668	668
2	3107	660
3	5002	660

prune221.0ms

Filtered

64 candidates to 60 candidates (93.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	64	8	72

Merged error: 0.0b

Counts

72 → 8

regimes94.0ms

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

sample398.0ms

Algorithm

intervals

Results

238.0ms

10719×

body

valid