Details

sample15.0ms

Algorithm

intervals

Results

6.0ms	328×	body	80	valid
1.0ms	10×	body	1280	valid
0.0ms	5×	body	640	valid
0.0ms	4×	body	320	valid
0.0ms	3×	body	160	valid

simplify19.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	4
1	32	4
2	81	4
3	166	4
4	225	4
5	227	4
6	227	4

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: 0.2b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* 3.0 (- 2.0 (* x 3.0)))
0.1b	(* (* 3.0 (- 2.0 (* x 3.0))) x)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt`
10×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`prod-diff`
6×	`associate-r`
5×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
4×	`associate-r/` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `sub-neg` `flip3--` `fma-neg` `flip--` `log1p-expm1-u`
2×	`associate-l/` `-commutative`
1×	`diff-log` `unswap-sqr`

Counts

3 → 74

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
5.0ms	(* 3.0 (- 2.0 (* x 3.0)))
6.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

series177.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(- 2.0 (* x 3.0))
55.0ms	(* 3.0 (- 2.0 (* x 3.0)))
87.0ms	(* (* 3.0 (- 2.0 (* x 3.0))) x)

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	253	437
1	1184	374
2	5002	369

prune129.0ms

Filtered

83 candidates to 54 candidates (65.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	75	8	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	76	8	84

Merged error: 0.0b

Counts

84 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 32

Calls

1 calls:

5.0ms

(* x (- 6.0 (* 9.0 x)))

series68.0ms

Counts

1 → 3

Calls

1 calls:

68.0ms

(* x (- 6.0 (* 9.0 x)))

simplify111.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	151	198
1	642	173
2	3595	170
3	5001	162

prune57.0ms

Filtered

35 candidates to 19 candidates (54.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	35	8	43

Merged error: 0.0b

Counts

43 → 8

localize11.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- 6.0 (* 9.0 x)))
50.4b	(fma (- x) 9.0 (* x 9.0))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `sub-neg` `associate-*r/` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `pow-prod-down` `prod-exp` `*-commutative` `flip--` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 42

Calls

2 calls:

5.0ms	(* x (- 6.0 (* 9.0 x)))
1.0ms	(fma (- x) 9.0 (* x 9.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

68.0ms	(* x (- 6.0 (* 9.0 x)))
46.0ms	(fma (- x) 9.0 (* x 9.0))

simplify115.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	161	248
1	675	216
2	3770	213
3	5001	213

prune82.0ms

Filtered

48 candidates to 31 candidates (64.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	48	8	56

Merged error: 0.0b

Counts

56 → 8

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 2.0 (* x 3.0))
0.1b	(* (- 2.0 (* x 3.0)) x)
0.1b	(* 3.0 (* (- 2.0 (* x 3.0)) x))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

10×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `associate-*l/` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `flip3--` `fma-neg` `prod-diff` `flip--` `log1p-expm1-u`
2×	`associate-r/` `-commutative`
1×	`sub-neg` `diff-log` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

3.0ms	(- 2.0 (* x 3.0))
5.0ms	(* (- 2.0 (* x 3.0)) x)
7.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

series191.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- 2.0 (* x 3.0))
71.0ms	(* (- 2.0 (* x 3.0)) x)
86.0ms	(* 3.0 (* (- 2.0 (* x 3.0)) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	234	366
1	880	311
2	5001	304

prune101.0ms

Filtered

73 candidates to 50 candidates (68.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	72	9	81

Merged error: 0.0b

Counts

81 → 9

regimes27.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	8
1	14	8

end0.0ms

sample348.0ms

Algorithm

intervals

Results

184.0ms	9755×	body	80	valid
27.0ms	335×	body	1280	valid
18.0ms	275×	body	640	valid
7.0ms	139×	body	320	valid
3.0ms	79×	body	160	valid