Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify127.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (6.0ms)

Iter	Nodes	Cost
0	31	9
1	59	9
2	90	9
3	116	7
4	130	7
5	148	7
6	188	7
7	264	7
8	304	7
9	377	7
10	580	7
11	851	7
12	1402	7
13	2787	7
14	3168	7
15	4321	7
16	5001	7

prune7.0ms

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: 0.0b

Counts

2 → 2

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
15.1b	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1`
4×	`expm1-log1p-u` `fma-udef` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `associate-r` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 65

Calls

4 calls:

1.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
4.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series221.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(fma (- x) 0.70711 (/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))
29.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
47.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
73.0ms	(/ (* 0.70711 (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify37.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	272	452
1	1121	382
2	5002	382

prune183.0ms

Filtered

77 candidates to 59 candidates (76.6%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	75	2	77
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	77	2	79

Merged error: 0b

Counts

79 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(* 0.70711 (fma 0.27061 x 2.30753))
0.1b	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
15.1b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
32×	`add-exp-log`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
20×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`pow1` `cbrt-undiv`
6×	`div-inv` `associate-/l*`
5×	`prod-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-r` `associate-l` `cbrt-unprod` `fma-udef`
2×	`frac-2neg` `clear-num`
1×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `associate-/r/` `*-commutative` `inv-pow` `unswap-sqr`

Counts

4 → 113

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
6.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
4.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

series216.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
48.0ms	(* 0.70711 (fma 0.27061 x 2.30753))
71.0ms	(/ 1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753))))
68.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (* 0.70711 (fma 0.27061 x 2.30753)))

simplify54.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	427	907
1	1980	776
2	5001	736

prune223.0ms

Filtered

125 candidates to 76 candidates (60.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	125	2	127

Merged error: 0b

Counts

127 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(- 1.6316775383 (* 2.134856267379707 x))
0.1b	(fma (pow x 2) 1.3436228731669864 (- 1.6316775383 (* 2.134856267379707 x)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`fma-neg` `prod-diff`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `diff-log` `flip--` `fma-udef`

Counts

2 → 30

Calls

2 calls:

3.0ms	(- 1.6316775383 (* 2.134856267379707 x))
1.0ms	(fma (pow x 2) 1.3436228731669864 (- 1.6316775383 (* 2.134856267379707 x)))

series55.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(- 1.6316775383 (* 2.134856267379707 x))
22.0ms	(fma (pow x 2) 1.3436228731669864 (- 1.6316775383 (* 2.134856267379707 x)))

simplify49.0ms

Algorithm

egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 3 (45.0ms)

Iter	Nodes	Cost
0	120	170
1	350	149
2	1768	148
3	5001	131

prune63.0ms

Filtered

36 candidates to 27 candidates (75.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	36	2	38

Merged error: 0b

Counts

38 → 2

regimes15.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	8
1	19	8

end0.0ms

sample351.0ms

Algorithm

intervals

Results

264.0ms

8000×

body

valid