Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify85.0ms

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

rewrite27.0ms

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:

14.0ms	(+ (/ (- (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)
8.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

series161.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(+ (/ (- (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)
74.0ms	(/ (- (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

prune293.0ms

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: 0.0b

Counts

128 → 2

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)
0.6b	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite5.0ms

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))

series140.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(fma (- (fma 0.27061 x 2.30753)) (/ 1 (fma x (fma 0.04481 x 0.99229) 1.0)) x)
25.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
48.0ms	(/ 1 (fma x (fma 0.04481 x 0.99229) 1.0))

simplify108.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (102.0ms)

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

prune116.0ms

Filtered

62 candidates to 42 candidates (67.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	62	2	64

Merged error: 0.0b

Counts

64 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (log1p (expm1 (/ (- (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)
0.4b	(log1p (expm1 (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))))
15.1b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

3.0ms	(+ (log1p (expm1 (/ (- (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)
1.0ms	(log1p (expm1 (/ (- (fma 0.27061 x 2.30753)) (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))

series446.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(+ (log1p (expm1 (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))) x)
28.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
202.0ms	(log1p (expm1 (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))))
73.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify130.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	356	913
1	1123	863
2	4967	841
3	5001	841

prune271.0ms

Filtered

110 candidates to 90 candidates (81.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	109	3	112

Merged error: 0b

Counts

112 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(log (* (+ 1 (expm1 (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))) (exp x)))
1.0b	(+ 1 (expm1 (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))))
15.1b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

30×	`*-un-lft-identity` `times-frac`
28×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`associate-/l*`
8×	`add-exp-log`
7×	`pow1`
6×	`add-cbrt-cube` `add-log-exp`
4×	`expm1-log1p-u` `neg-mul-1` `log1p-expm1-u`
3×	`fma-def` `associate-/r*`
2×	`log-div` `flip3-+` `rem-log-exp` `associate-*l/` `log-pow` `flip-+`
1×	`cbrt-undiv` `+-commutative` `neg-sub0` `associate-+r-` `log-prod` `frac-2neg` `div-sub` `distribute-frac-neg` `div-exp` `pow-prod-down` `prod-exp` `clear-num` `sum-log` `fma-udef` `div-inv` `distribute-lft-out` `expm1-udef`

Counts

4 → 103

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
6.0ms	(log (* (+ 1 (expm1 (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))) (exp x)))
3.0ms	(+ 1 (expm1 (/ (- (fma 0.27061 x 2.30753)) (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))

series320.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
131.0ms	(log (* (+ 1 (expm1 (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)))) (exp x)))
89.0ms	(+ 1 (expm1 (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))))
73.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	412	1046
1	1569	957
2	5001	948

prune340.0ms

Filtered

115 candidates to 93 candidates (80.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	115	3	118

Merged error: 0b

Counts

118 → 3

regimes20.0ms

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	15	6
1	15	6

end0.0ms

sample400.0ms

Algorithm

intervals

Results

307.0ms

8000×

body

valid

Details

sample19.0ms

simplify85.0ms

prune6.0ms

localize10.0ms

rewrite27.0ms

series161.0ms

simplify127.0ms

prune293.0ms

localize10.0ms

rewrite5.0ms

series140.0ms

simplify108.0ms

prune116.0ms

localize12.0ms

rewrite11.0ms

series446.0ms

simplify130.0ms

prune271.0ms

localize15.0ms

rewrite17.0ms

series320.0ms

simplify48.0ms

prune340.0ms

regimes20.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample400.0ms

Profiling