Details

sample22.0ms

Algorithm

intervals

Results

11.0ms

395×

body

valid

simplify275.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	16	6
1	33	4
2	56	4
3	76	3
4	88	3
5	131	3
6	236	3
7	328	3
8	343	3
9	443	3
10	797	3
11	3499	3
12	5001	3

prune6.0ms

Filtered

1 candidates to 1 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 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(fma 3 (* z z) (* x y))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

1.0ms

(fma 3 (* z z) (* x y))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(fma 3 (* z z) (* x y))

simplify48.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	33	59
1	79	52
2	256	52
3	1025	52
4	5001	52

prune33.0ms

Filtered

13 candidates to 11 candidates (84.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	9	4	13
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	11	4	15

Merged error: 0.1b

Counts

15 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 3 (* z z)) (* x y))
0.2b	(* 3 (* z z))

rewrite14.0ms

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-+` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+ (* 3 (* z z)) (* x y))
5.0ms	(* 3 (* z z))

series86.0ms

Counts

2 → 6

Calls

2 calls:

52.0ms	(+ (* 3 (* z z)) (* x y))
34.0ms	(* 3 (* z z))

simplify104.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	176	174
1	664	155
2	2741	148
3	5002	148

prune66.0ms

Filtered

41 candidates to 27 candidates (65.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	2	1	3
Picked	0	1	1
Done	0	0	0
Total	40	5	45

Merged error: 0.0b

Counts

45 → 5

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* 3 z) z) (* x y))
0.2b	(* (* 3 z) z)

rewrite11.0ms

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:

5.0ms	(+ (* (* 3 z) z) (* x y))
5.0ms	(* (* 3 z) z)

series58.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ (* (* 3 z) z) (* x y))
25.0ms	(* (* 3 z) z)

simplify140.0ms

Algorithm

egg-herbie

Counts

40 → 40

Iterations

Useful iterations: 3 (135.0ms)

Iter	Nodes	Cost
0	185	172
1	865	153
2	4444	147
3	5001	145

prune78.0ms

Filtered

40 candidates to 26 candidates (65.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	40	0	40
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	40	5	45

Merged error: 0.0b

Counts

45 → 5

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
0.2b	(* (sqrt 3) (* (sqrt 3) (* z z)))
0.3b	(* (sqrt 3) (* z z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

10.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
10.0ms	(* (sqrt 3) (* (sqrt 3) (* z z)))
9.0ms	(* (sqrt 3) (* z z))

series205.0ms

Counts

3 → 9

Calls

3 calls:

91.0ms	(+ (* (sqrt 3) (* (sqrt 3) (* z z))) (* x y))
70.0ms	(* (sqrt 3) (* (sqrt 3) (* z z)))
44.0ms	(* (sqrt 3) (* z z))

simplify174.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	247	426
1	1012	342
2	4626	321
3	5001	321

prune122.0ms

Filtered

74 candidates to 47 candidates (63.5%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

regimes126.0ms

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	12	4
1	12	4

end0.0ms

sample639.0ms

Algorithm

intervals

Results

383.0ms

12350×

body

valid