Details

sample18.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify80.0ms

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)
14.3b	(/ (- (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:

17.0ms	(+ (/ (- (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))

series165.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(+ (/ (- (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)
76.0ms	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

simplify128.0ms

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

prune302.0ms

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: 0.0b

Counts

128 → 3

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
1.5b	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
14.3b	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
14.8b	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

1.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
1.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
4.0ms	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
1.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

series494.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(fma x (fma 0.04481 x 0.99229) 1.0)
138.0ms	(expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0)))
213.0ms	(/ (- (fma 0.27061 x 2.30753)) (expm1 (log1p (fma x (fma 0.04481 x 0.99229) 1.0))))
111.0ms	(log1p (fma x (fma 0.04481 x 0.99229) 1.0))

simplify56.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	618	1189
1	2304	1002
2	5001	977

prune292.0ms

Filtered

103 candidates to 86 candidates (83.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	103	3	106

Merged error: 0.0b

Counts

106 → 3

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(fma 3.0191289436999997 x (- (fma 1.900161040244073 (pow x 2) 2.30753)))
0.1b	(fma 1.900161040244073 (pow x 2) 2.30753)

rewrite2.0ms

Algorithm

rewrite-expression-head

Rules

2×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

2 → 20

Calls

2 calls:

1.0ms	(fma 3.0191289436999997 x (- (fma 1.900161040244073 (pow x 2) 2.30753)))
1.0ms	(fma 1.900161040244073 (pow x 2) 2.30753)

series81.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(fma 3.0191289436999997 x (- (fma 1.900161040244073 (pow x 2) 2.30753)))
53.0ms	(fma 1.900161040244073 (pow x 2) 2.30753)

simplify75.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	46	117
1	127	103
2	464	103
3	2346	103
4	5001	103

prune53.0ms

Filtered

26 candidates to 20 candidates (76.9%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	26	3	29

Merged error: 0.0b

Counts

29 → 3

localize13.0ms

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))
0.1b	(fma x (fma 0.04481 x 0.99229) 1.0)
0.2b	(log (exp (+ (/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0)) x)))
14.3b	(/ (- (fma 0.27061 x 2.30753)) (fma x (fma 0.04481 x 0.99229) 1.0))

rewrite39.0ms

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:

17.0ms	(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))

series216.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(exp (+ (/ (- (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)
57.0ms	(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))

simplify124.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 3 (110.0ms)

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

prune301.0ms

Filtered

118 candidates to 91 candidates (77.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	1	118
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Merged error: 0b

Counts

121 → 4

regimes19.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	8
1	17	8

end0.0ms

sample416.0ms

Algorithm

intervals

Results

318.0ms

8000×

body

valid