Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify84.0ms

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

localize10.0ms

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)
15.0b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite28.0ms

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))

series150.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
30.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
67.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 2 (27.0ms)

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

prune349.0ms

Filtered

127 candidates to 106 candidates (83.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	124	3	127
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	3	128

Merged error: 0b

Counts

128 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.4b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-exp-log`
5×	`add-cbrt-cube`
4×	`pow1`
3×	`expm1-log1p-u` `associate-/r` `log1p-expm1-u` `associate-/l` `add-log-exp`
2×	`div-exp` `fma-udef`
1×	`cbrt-undiv` `rec-exp` `pow-flip` `frac-2neg` `1-exp` `clear-num` `div-inv` `inv-pow`

Counts

3 → 53

Calls

3 calls:

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

series137.0ms

Counts

3 → 9

Calls

3 calls:

65.0ms	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
29.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
43.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

simplify109.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	216	370
1	707	323
2	3378	303
3	5001	298

prune144.0ms

Filtered

62 candidates to 42 candidates (67.7%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	63	2	65

Merged error: 0b

Counts

65 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (expm1 (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.4b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
0.5b	(expm1 (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`add-exp-log`
6×	`add-cbrt-cube`
5×	`pow1` `log1p-expm1-u`
4×	`expm1-log1p-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`div-exp`
1×	`cbrt-undiv` `rec-exp` `log1p-udef` `expm1-log1p` `pow-flip` `frac-2neg` `1-exp` `log1p-expm1` `clear-num` `fma-udef` `div-inv` `inv-pow` `expm1-udef`

Counts

4 → 65

Calls

4 calls:

1.0ms	(log1p (expm1 (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
3.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
1.0ms	(expm1 (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(log1p (expm1 (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))))
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
49.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))
101.0ms	(expm1 (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)))

simplify98.0ms

Algorithm

egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 3 (90.0ms)

Iter	Nodes	Cost
0	226	437
1	728	384
2	3044	357
3	5002	349

prune205.0ms

Filtered

77 candidates to 53 candidates (68.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

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

Merged error: 0b

Counts

79 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
0.2b	(/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
15.0b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
15.0b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
66×	`add-sqr-sqrt`
64×	`add-cube-cbrt` `*-un-lft-identity`
51×	`sqrt-prod`
21×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
13×	`associate-/l*`
12×	`associate-/r*`
10×	`add-exp-log`
8×	`pow1` `add-cbrt-cube`
7×	`neg-mul-1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-flip` `sqrt-pow1` `pow1/2` `div-exp`
2×	`cbrt-undiv` `rem-sqrt-square` `frac-2neg` `clear-num` `div-inv`
1×	`neg-sub0` `rec-exp` `1-exp` `div-sub` `distribute-frac-neg` `inv-pow`

Counts

4 → 169

Calls

4 calls:

6.0ms	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
7.0ms	(/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
1.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series476.0ms

Counts

4 → 12

Calls

4 calls:

204.0ms	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
103.0ms	(/ 1 (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
84.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
85.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	589	1789
1	2298	1669
2	5002	1627

prune451.0ms

Filtered

181 candidates to 112 candidates (61.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	181	2	183

Merged error: 0b

Counts

183 → 2

regimes16.0ms

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	17	8
1	17	8

end0.0ms

sample317.0ms

Algorithm

intervals

Results

229.0ms

8000×

body

valid