Details

sample19.0ms

Algorithm

intervals

Results

8.0ms

364×

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 (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: 0.1b

Counts

2 → 1

localize4.0ms

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)))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(* 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	5001	113

prune47.0ms

Filtered

27 candidates to 16 candidates (40.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	21	6	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	7	28

Merged error: 0.0b

Counts

28 → 7

localize8.0ms

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))) (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:

2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
2.0ms	(cbrt (- 1.0 (* x y)))
10.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series159.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(cbrt (- 1.0 (* x y)))
36.0ms	(cbrt (- 1.0 (* x y)))
39.0ms	(cbrt (- 1.0 (* x y)))
47.0ms	(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify49.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	352	1100
1	1364	1049
2	5002	988

prune238.0ms

Filtered

99 candidates to 75 candidates (24.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	97	9	106

Merged error: 0.0b

Counts

106 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.2b	(cbrt (cbrt (- 1.0 (* x y))))
0.3b	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-div`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 72

Calls

4 calls:

3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
3.0ms	(cbrt (cbrt (- 1.0 (* x y))))
5.0ms	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

series197.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(cbrt (cbrt (- 1.0 (* x y))))
36.0ms	(cbrt (cbrt (- 1.0 (* x y))))
39.0ms	(cbrt (cbrt (- 1.0 (* x y))))
83.0ms	(pow (cbrt (cbrt (- 1.0 (* x y)))) 4)

simplify44.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	345	954
1	1307	912
2	5002	884

prune306.0ms

Filtered

84 candidates to 67 candidates (20.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	83	10	93

Merged error: 0.0b

Counts

93 → 10

localize8.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite10.0ms

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:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series88.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt x) (cbrt x))
21.0ms	(cbrt x)
23.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify74.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (69.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune70.0ms

Filtered

85 candidates to 56 candidates (34.1%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	85	10	95

Merged error: 0b

Counts

95 → 10

regimes191.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	8	3
1	8	3

end0.0ms

sample475.0ms

Algorithm

intervals

Results

238.0ms

10591×

body

valid

Details

sample19.0ms

simplify9.0ms

prune2.0ms

localize4.0ms

rewrite6.0ms

series6.0ms

simplify85.0ms

prune47.0ms

localize8.0ms

rewrite19.0ms

series159.0ms

simplify49.0ms

prune238.0ms

localize13.0ms

rewrite15.0ms

series197.0ms

simplify44.0ms

prune306.0ms

localize8.0ms

rewrite10.0ms

series88.0ms

simplify74.0ms

prune70.0ms

regimes191.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample475.0ms

Profiling