Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify82.0ms

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

prune6.0ms

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)
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
13.8b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite26.0ms

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:

13.0ms	(+ (/ (- (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))

series154.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)
31.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
68.0ms	(/ (- (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 (26.0ms)

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

prune329.0ms

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 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)
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.1b	(/ -1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
13.9b	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

150×	`times-frac`
91×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
44×	`fma-def`
16×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
10×	`div-inv`
6×	`associate-/l*` `add-log-exp`
4×	`pow1` `cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u`
2×	`frac-2neg` `clear-num` `associate-/r/`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+` `fma-udef` `distribute-lft-out`

Counts

4 → 169

Calls

4 calls:

17.0ms	(+ (/ -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)
6.0ms	(/ -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))

series229.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(+ (/ -1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
75.0ms	(/ -1 (/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753)))
65.0ms	(/ (fma x (fma 0.04481 x 0.99229) 1.0) (fma 0.27061 x 2.30753))

simplify72.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	525	1248
1	2320	1118
2	5002	1117

prune466.0ms

Filtered

181 candidates to 146 candidates (80.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	181	0	181
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	181	3	184

Merged error: 0b

Counts

184 → 3

localize13.0ms

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	(/ (/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
13.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
13.8b	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

864×	`times-frac`
454×	`add-sqr-sqrt`
452×	`add-cube-cbrt` `*-un-lft-identity`
444×	`sqrt-prod`
147×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
74×	`associate-/l*`
49×	`neg-mul-1`
12×	`associate-/r*`
11×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
6×	`pow1`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`div-sub` `distribute-frac-neg`
2×	`neg-sub0` `rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`
1×	`associate-/l/`

Counts

4 → 595

Calls

4 calls:

6.0ms	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
19.0ms	(/ (/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
2.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

series468.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
75.0ms	(/ (/ (- (fma 0.27061 x 2.30753)) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0))) (sqrt (fma x (fma 0.04481 x 0.99229) 1.0)))
90.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))
91.0ms	(sqrt (fma x (fma 0.04481 x 0.99229) 1.0))

simplify145.0ms

Algorithm

egg-herbie

Counts

607 → 607

Iterations

Useful iterations: 1 (31.0ms)

Iter	Nodes	Cost
0	1471	11047
1	5002	10007

prune970.0ms

Filtered

607 candidates to 262 candidates (43.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	607	0	607
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	607	3	610

Merged error: 0b

Counts

610 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(exp (+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x))
0.0b	(fma x (fma 0.04481 x 0.99229) 1.0)
1.2b	(log (exp (+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)))
13.8b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
30×	`add-sqr-sqrt` `add-cube-cbrt` `times-frac`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
8×	`exp-prod`
7×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1` `log-pow`
4×	`expm1-log1p-u` `neg-mul-1` `log-prod` `log1p-expm1-u`
3×	`neg-sub0` `div-sub` `associate-/r*`
2×	`associate-+l-` `exp-diff` `exp-sum` `rem-exp-log` `distribute-lft-out`
1×	`cbrt-undiv` `log-div` `frac-2neg` `distribute-frac-neg` `div-exp` `rem-log-exp` `clear-num` `sum-log` `fma-udef` `div-inv`

Counts

4 → 106

Calls

4 calls:

13.0ms	(exp (+ (/ (- (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)
13.0ms	(log (exp (+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)))
5.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series225.0ms

Counts

4 → 12

Calls

4 calls:

59.0ms	(exp (+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x))
26.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
65.0ms	(log (exp (+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)))
75.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify126.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (113.0ms)

Iter	Nodes	Cost
0	358	979
1	1139	907
2	4736	897
3	5001	893

prune323.0ms

Filtered

118 candidates to 92 candidates (78.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	118	0	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	118	3	121

Merged error: 0b

Counts

121 → 3

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	14	6
1	14	6

end0.0ms

sample404.0ms

Algorithm

intervals

Results

312.0ms

8000×

body

valid

Details

sample18.0ms

simplify82.0ms

prune6.0ms

localize10.0ms

rewrite26.0ms

series154.0ms

simplify127.0ms

prune329.0ms

localize10.0ms

rewrite33.0ms

series229.0ms

simplify72.0ms

prune466.0ms

localize13.0ms

rewrite72.0ms

series468.0ms

simplify145.0ms

prune970.0ms

localize14.0ms

rewrite35.0ms

series225.0ms

simplify126.0ms

prune323.0ms

regimes15.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample404.0ms

Profiling