Details

sample16.0ms

Algorithm

intervals

Results

8.0ms

256×

body

valid

simplify83.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	22	8
1	39	6
2	66	6
3	98	6
4	108	6
5	130	6
6	158	6
7	211	6
8	277	6
9	512	6
10	881	6
11	1338	6
12	2728	6
13	5001	6

prune5.0ms

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: 0.0b

Counts

2 → 1

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
15.2b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
48×	`*-un-lft-identity`
46×	`add-sqr-sqrt` `add-cube-cbrt`
34×	`fma-def`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
7×	`neg-mul-1`
5×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1` `expm1-log1p-u` `associate-/r*` `log1p-expm1-u`
2×	`neg-sub0` `div-sub` `div-inv`
1×	`cbrt-undiv` `+-commutative` `associate-+l-` `frac-2neg` `flip3-+` `distribute-frac-neg` `div-exp` `clear-num` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

3 → 118

Calls

3 calls:

15.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
5.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series163.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
75.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify127.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	335	784
1	1079	748
2	4829	733
3	5001	733

prune350.0ms

Filtered

127 candidates to 106 candidates (83.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	125	2	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	126	2	128

Merged error: 0b

Counts

128 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (- 1) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ (- 1) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
15.3b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

458×	`times-frac`
243×	`*-un-lft-identity`
241×	`add-sqr-sqrt` `add-cube-cbrt`
135×	`fma-def`
81×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
27×	`neg-mul-1`
24×	`div-inv`
16×	`associate-/r*`
13×	`associate-/l*`
11×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`neg-sub0` `frac-2neg` `div-sub` `clear-num` `associate-/r/`
1×	`+-commutative` `associate-+l-` `flip3-+` `distribute-frac-neg` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 361

Calls

4 calls:

50.0ms	(+ (/ (- 1) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
9.0ms	(/ (- 1) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
3.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

series228.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(+ (/ (- 1) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
33.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
74.0ms	(/ (- 1) (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
61.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify126.0ms

Algorithm

egg-herbie

Counts

373 → 373

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	886	2781
1	4170	2532
2	5002	2273

prune878.0ms

Filtered

373 candidates to 244 candidates (65.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	372	1	373
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	373	2	375

Merged error: 0b

Counts

375 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(/ (- 1) (* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753))))
0.2b	(/ 1 (fma 0.27061 x 2.30753))
15.2b	(* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
32×	`add-exp-log`
30×	`times-frac`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt`
20×	`add-cbrt-cube`
13×	`associate-r` `associate-/l*`
11×	`div-exp`
8×	`prod-exp`
7×	`pow1`
6×	`cbrt-undiv` `distribute-lft-neg-in` `distribute-rgt-neg-in`
4×	`expm1-log1p-u` `associate-/r*` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-l` `div-inv` `unswap-sqr`
2×	`neg-mul-1` `frac-2neg` `associate-*r/` `clear-num` `associate-/r/` `un-div-inv`
1×	`neg-sub0` `pow-flip` `div-sub` `distribute-frac-neg` `pow-prod-down` `*-commutative` `fma-udef` `inv-pow`

Counts

4 → 126

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
8.0ms	(/ (- 1) (* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753))))
3.0ms	(/ 1 (fma 0.27061 x 2.30753))
8.0ms	(* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753)))

series197.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
75.0ms	(/ (- 1) (* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753))))
31.0ms	(/ 1 (fma 0.27061 x 2.30753))
64.0ms	(* (fma x (fma 0.04481 x 0.99229) 1.0) (/ 1 (fma 0.27061 x 2.30753)))

simplify76.0ms

Algorithm

egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 2 (63.0ms)

Iter	Nodes	Cost
0	487	903
1	2366	749
2	5001	687

prune286.0ms

Filtered

138 candidates to 85 candidates (61.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Merged error: 0b

Counts

140 → 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	7
1	19	7

end0.0ms

sample339.0ms

Algorithm

intervals

Results

248.0ms

8000×

body

valid