Details

sample24.0ms

Algorithm

intervals

Results

8.0ms

342×

body

valid

simplify151.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 8 (74.0ms)

Iter	Nodes	Cost
0	27	6
1	63	6
2	154	5
3	323	5
4	426	5
5	528	5
6	604	5
7	832	5
8	1464	4
9	2035	4
10	2064	4
11	2064	4

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x 3.0) 4.0)
0.1b	(fma x (- (* x 3.0) 4.0) 1.0)
0.1b	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
36×	`prod-diff`
33×	`*-un-lft-identity`
29×	`add-cube-cbrt`
16×	`associate-l`
15×	`associate-r`
12×	`fma-neg`
6×	`unswap-sqr`
5×	`pow1` `add-exp-log` `*-commutative` `add-cbrt-cube` `add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `flip--` `cbrt-unprod` `fma-udef`

Counts

3 → 96

Calls

3 calls:

10.0ms	(- (* x 3.0) 4.0)
1.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
4.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

series147.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(- (* x 3.0) 4.0)
35.0ms	(fma x (- (* x 3.0) 4.0) 1.0)
57.0ms	(* (fma x (- (* x 3.0) 4.0) 1.0) 3.0)

simplify71.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (61.0ms)

Iter	Nodes	Cost
0	300	759
1	914	491
2	5002	455

prune134.0ms

Filtered

105 candidates to 55 candidates (52.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	102	3	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.1b	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
35×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
24×	`add-cube-cbrt`
10×	`associate-l`
9×	`associate-r`
4×	`add-log-exp` `unswap-sqr`
3×	`fma-neg` `*-commutative`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 67

Calls

2 calls:

8.0ms	(- 3.0 (* 12.0 x))
1.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

series84.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- 3.0 (* 12.0 x))
31.0ms	(fma (pow x 2) 9.0 (- 3.0 (* 12.0 x)))

simplify73.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	309	717
1	938	459
2	5001	443

prune100.0ms

Filtered

73 candidates to 33 candidates (45.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	73	3	76

Merged error: 0.0b

Counts

76 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 3.0 (* 12.0 x))
0.0b	(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
0.2b	(* (pow x 2) 9.0)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

82×	`add-sqr-sqrt`
73×	`*-un-lft-identity`
72×	`prod-diff`
53×	`add-cube-cbrt`
40×	`associate-l`
38×	`associate-+r+`
24×	`associate-r`
20×	`fma-def`
15×	`unswap-sqr`
10×	`add-log-exp`
8×	`add-exp-log` `unpow-prod-down` `*-commutative`
6×	`distribute-lft-out` `distribute-lft-out--`
5×	`pow1` `add-cbrt-cube`
4×	`unpow2` `sqr-pow`
3×	`expm1-log1p-u` `fma-neg` `prod-exp` `log1p-expm1-u`
2×	`sub-neg` `diff-log` `sum-log` `difference-of-squares`
1×	`+-commutative` `pow-to-exp` `associate-+r-` `flip3--` `flip3-+` `pow-prod-down` `pow-exp` `flip--` `cbrt-unprod` `flip-+`

Counts

3 → 166

Calls

3 calls:

15.0ms	(- 3.0 (* 12.0 x))
24.0ms	(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
9.0ms	(* (pow x 2) 9.0)

series111.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(- 3.0 (* 12.0 x))
27.0ms	(+ (* (pow x 2) 9.0) (- 3.0 (* 12.0 x)))
32.0ms	(* (pow x 2) 9.0)

simplify112.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	550	1243
1	1730	868
2	5001	847

prune281.0ms

Filtered

175 candidates to 100 candidates (57.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	174	1	175
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	174	4	178

Merged error: 0b

Counts

178 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (sqrt (pow x 2)) (* (sqrt (pow x 2)) 9.0)) (- 3.0 (* 12.0 x)))
0.2b	(* (sqrt (pow x 2)) (* (sqrt (pow x 2)) 9.0))
19.4b	(sqrt (pow x 2))
19.4b	(sqrt (pow x 2))

rewrite105.0ms

Algorithm

rewrite-expression-head

Rules

200×	`add-sqr-sqrt`
144×	`sqrt-prod`
123×	`unswap-sqr`
70×	`fma-def`
64×	`*-un-lft-identity`
63×	`associate-r`
58×	`associate-l`
48×	`add-cube-cbrt`
44×	`unpow-prod-down`
38×	`associate-+r+`
36×	`prod-diff`
32×	`unpow2` `sqr-pow`
13×	`pow1`
12×	`sqrt-pow1`
9×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
8×	`rem-sqrt-square`
7×	`*-commutative`
6×	`pow-unpow` `distribute-lft-out`
4×	`expm1-log1p-u` `log1p-expm1-u` `distribute-lft-out--`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`pow-pow` `pow1/2` `sum-log`
1×	`+-commutative` `associate-+r-` `sub-neg` `flip3-+` `diff-log` `flip-+`

Counts

4 → 266

Calls

4 calls:

65.0ms	(+ (* (sqrt (pow x 2)) (* (sqrt (pow x 2)) 9.0)) (- 3.0 (* 12.0 x)))
20.0ms	(* (sqrt (pow x 2)) (* (sqrt (pow x 2)) 9.0))
3.0ms	(sqrt (pow x 2))
3.0ms	(sqrt (pow x 2))

series91.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (* (sqrt (pow x 2)) (* (sqrt (pow x 2)) 9.0)) (- 3.0 (* 12.0 x)))
29.0ms	(* (sqrt (pow x 2)) (* (sqrt (pow x 2)) 9.0))
10.0ms	(sqrt (pow x 2))
21.0ms	(sqrt (pow x 2))

simplify142.0ms

Algorithm

egg-herbie

Counts

278 → 278

Iterations

Useful iterations: 2 (113.0ms)

Iter	Nodes	Cost
0	662	1499
1	2199	1076
2	5001	1053

prune556.0ms

Filtered

278 candidates to 182 candidates (65.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	277	1	278
Fresh	1	1	2
Picked	0	1	1
Done	1	0	1
Total	279	3	282

Merged error: 0b

Counts

282 → 3

regimes16.0ms

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	16	9
1	16	9

end0.0ms

sample390.0ms

Algorithm

intervals

Results

277.0ms

10591×

body

valid