Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

345×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	20	3
2	22	3
3	22	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: 5.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (* y y))
5.2b	(* x (+ 1.0 (* y y)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

3.0ms	(+ 1.0 (* y y))
6.0ms	(* x (+ 1.0 (* y y)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ 1.0 (* y y))
65.0ms	(* x (+ 1.0 (* y y)))

simplify94.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (24.0ms)

Iter	Nodes	Cost
0	168	171
1	790	152
2	3413	149
3	5001	149

prune78.0ms

Filtered

39 candidates to 28 candidates (71.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	33	6	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	34	6	40

Merged error: 5.4b

Counts

40 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x 1.0) (* x (* y y)))
10.6b	(* x (* y y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 31

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* x (* y y)))
6.0ms	(* x (* y y))

series103.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* x 1.0) (* x (* y y)))
33.0ms	(* x (* y y))

simplify86.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	167	162
1	633	137
2	2466	134
3	5001	134

prune60.0ms

Filtered

37 candidates to 23 candidates (62.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

4.0ms	(+ (* x 1.0) (* (* x y) y))
5.0ms	(* (* x y) y)

series103.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(+ (* x 1.0) (* (* x y) y))
33.0ms	(* (* x y) y)

simplify138.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	174	161
1	815	137
2	4140	129
3	5001	128

prune58.0ms

Filtered

35 candidates to 23 candidates (65.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	35	6	41

Merged error: 0.0b

Counts

41 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
5.4b	(cbrt (+ 1.0 (* y y)))
5.4b	(cbrt (+ 1.0 (* y y)))
5.4b	(cbrt (+ 1.0 (* y y)))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
10×	`associate-*r/`
9×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `flip3-+` `flip-+`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`add-cbrt-cube`
4×	`frac-times` `add-log-exp`
3×	`pow1/3` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`associate-*l/`
1×	`associate-r` `*-commutative` `unswap-sqr`

Counts

4 → 66

Calls

4 calls:

11.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))
2.0ms	(cbrt (+ 1.0 (* y y)))

series713.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
191.0ms	(cbrt (+ 1.0 (* y y)))
186.0ms	(cbrt (+ 1.0 (* y y)))
179.0ms	(cbrt (+ 1.0 (* y y)))

simplify112.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	299	693
1	951	634
2	3234	616
3	5002	616

prune210.0ms

Filtered

78 candidates to 65 candidates (83.3%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	78	6	84

Merged error: 0.0b

Counts

84 → 6

regimes97.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	4
1	11	4

end0.0ms

sample363.0ms

Algorithm

intervals

Results

202.0ms

10662×

body

valid