Details

sample24.0ms

Algorithm

intervals

Results

10.0ms

345×

body

valid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	3
1	23	3
2	30	3
3	31	3
4	31	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

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `flip3-+` `associate-*r/` `flip-+` `log1p-expm1-u`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 40

Calls

2 calls:

5.0ms	(+ 1.0 (* y y))
8.0ms	(* x (+ 1.0 (* y y)))

series117.0ms

Counts

2 → 6

Calls

2 calls:

43.0ms	(+ 1.0 (* y y))
73.0ms	(* x (+ 1.0 (* y y)))

simplify86.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	176	185
1	831	149
2	3617	145
3	5001	144

prune84.0ms

Filtered

46 candidates to 37 candidates (80.4%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	40	6	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	6	47

Merged error: 5.4b

Counts

47 → 6

localize5.0ms

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`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 36

Calls

2 calls:

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

series93.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(+ (* x 1.0) (* x (* y y)))
29.0ms	(* x (* y y))

simplify86.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 3 (82.0ms)

Iter	Nodes	Cost
0	177	177
1	681	146
2	2809	143
3	5001	142

prune68.0ms

Filtered

42 candidates to 29 candidates (69.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	39	3	42
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	41	7	48

Merged error: 0.0b

Counts

48 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `fma-def` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 34

Calls

2 calls:

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

series92.0ms

Counts

2 → 6

Calls

2 calls:

60.0ms	(+ (* x 1.0) (* (* x y) y))
32.0ms	(* (* x y) y)

simplify133.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (127.0ms)

Iter	Nodes	Cost
0	184	173
1	862	149
2	4478	140
3	5001	139

prune59.0ms

Filtered

40 candidates to 27 candidates (67.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	39	1	40
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	41	6	47

Merged error: 0.0b

Counts

47 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* x (+ 1.0 (* y y))))
5.2b	(* x (+ 1.0 (* y y)))
5.2b	(* x (+ 1.0 (* y y)))
5.2b	(* x (+ 1.0 (* y y)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-r` `associate-l`
8×	`associate-*r/`
4×	`expm1-log1p-u` `flip3-+` `flip-+` `log1p-expm1-u` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`cbrt-div`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 85

Calls

4 calls:

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

series334.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (* x (+ 1.0 (* y y))))
53.0ms	(* x (+ 1.0 (* y y)))
54.0ms	(* x (+ 1.0 (* y y)))
51.0ms	(* x (+ 1.0 (* y y)))

simplify111.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	272	514
1	1093	438
2	4567	421
3	5001	421

prune211.0ms

Filtered

97 candidates to 81 candidates (83.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	97	6	103

Merged error: 0.0b

Counts

103 → 6

regimes110.0ms

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

sample390.0ms

Algorithm

intervals

Results

208.0ms

10662×

body

valid