Details

sample53.0ms

Algorithm

intervals

Results

29.0ms	71×	body	10240	exit
10.0ms	271×	body	80	valid
2.0ms	6×	body	640	valid
1.0ms	9×	body	320	valid
1.0ms	1×	body	1280	valid
0.0ms	2×	body	160	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	23	5
3	23	5

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.5b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (log (+ 1.0 (exp x))) (* x y))
0.0b	(+ 1.0 (exp x))
0.5b	(log (+ 1.0 (exp x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
44×	`add-sqr-sqrt`
43×	`*-un-lft-identity`
31×	`add-cube-cbrt`
19×	`pow1`
16×	`log-pow`
14×	`associate-l`
12×	`associate-r`
8×	`log-prod` `add-log-exp`
5×	`unswap-sqr`
4×	`add-exp-log` `log-div` `fma-neg` `associate--l+` `*-commutative` `distribute-lft-out--`
3×	`expm1-log1p-u` `fma-def` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`associate--l-` `diff-log` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `rem-log-exp` `sum-log` `flip--`

Counts

3 → 113

Calls

3 calls:

11.0ms	(- (log (+ 1.0 (exp x))) (* x y))
3.0ms	(+ 1.0 (exp x))
4.0ms	(log (+ 1.0 (exp x)))

series133.0ms

Counts

3 → 9

Calls

3 calls:

60.0ms	(- (log (+ 1.0 (exp x))) (* x y))
8.0ms	(+ 1.0 (exp x))
65.0ms	(log (+ 1.0 (exp x)))

simplify50.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	424	1368
1	1299	988
2	5002	966

prune158.0ms

Filtered

122 candidates to 61 candidates (50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	118	4	122
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	119	4	123

Merged error: 0.2b

Counts

123 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ 1.0 (exp x))
0.0b	(+ 1.0 (exp x))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity`
14×	`log-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
8×	`pow1` `sqrt-prod` `add-log-exp`
6×	`add-exp-log` `fma-def` `log-pow`
4×	`expm1-log1p-u` `log-div` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`
2×	`+-commutative` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log`

Counts

4 → 78

Calls

4 calls:

3.0ms	(+ 1.0 (exp x))
3.0ms	(+ 1.0 (exp x))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))

series239.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(+ 1.0 (exp x))
8.0ms	(+ 1.0 (exp x))
116.0ms	(log (sqrt (+ 1.0 (exp x))))
106.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify45.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	163	504
1	419	460
2	1196	448
3	5001	438

prune216.0ms

Filtered

90 candidates to 68 candidates (75.6%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	1	2	3
Picked	1	0	1
Done	0	0	0
Total	91	3	94

Merged error: 0.2b

Counts

94 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))
1.2b	(log (sqrt (+ 1.0 (exp x))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

28×	`log-prod`
20×	`*-un-lft-identity`
16×	`sqrt-prod`
12×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `log-pow`
8×	`add-exp-log` `log-div` `sqrt-div`
4×	`expm1-log1p-u` `sqrt-pow1` `flip3-+` `pow1/2` `rem-log-exp` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`

Counts

4 → 88

Calls

4 calls:

4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
4.0ms	(log (sqrt (+ 1.0 (exp x))))
5.0ms	(log (sqrt (+ 1.0 (exp x))))

series440.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(log (sqrt (+ 1.0 (exp x))))
105.0ms	(log (sqrt (+ 1.0 (exp x))))
107.0ms	(log (sqrt (+ 1.0 (exp x))))
114.0ms	(log (sqrt (+ 1.0 (exp x))))

simplify193.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 3 (36.0ms)

Iter	Nodes	Cost
0	132	748
1	325	684
2	928	660
3	4984	640
4	5001	640

prune294.0ms

Filtered

100 candidates to 76 candidates (76.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	100	3	103

Merged error: 0.2b

Counts

103 → 3

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma 1/2 (pow x 2) (+ x 2.0))
0.0b	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
7.8b	(log (fma 1/2 (pow x 2) (+ x 2.0)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

48×	`prod-diff`
43×	`add-sqr-sqrt`
36×	`*-un-lft-identity`
30×	`add-cube-cbrt`
19×	`pow1`
16×	`log-pow`
14×	`associate-l`
12×	`associate-r`
6×	`log-prod` `add-log-exp`
5×	`unswap-sqr`
4×	`add-exp-log` `fma-neg` `*-commutative` `distribute-lft-out--`
3×	`expm1-log1p-u` `associate--l+` `add-cbrt-cube` `log1p-expm1-u`
2×	`diff-log` `difference-of-squares`
1×	`sub-neg` `flip3--` `rem-log-exp` `flip--` `fma-udef`

Counts

3 → 100

Calls

3 calls:

1.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
12.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
2.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

series165.0ms

Counts

3 → 9

Calls

3 calls:

25.0ms	(fma 1/2 (pow x 2) (+ x 2.0))
85.0ms	(- (log (fma 1/2 (pow x 2) (+ x 2.0))) (* x y))
54.0ms	(log (fma 1/2 (pow x 2) (+ x 2.0)))

simplify58.0ms

Algorithm

egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	419	1473
1	1361	1074
2	5001	1050

prune146.0ms

Filtered

109 candidates to 52 candidates (47.7%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	1	109
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	109	3	112

Merged error: 0.2b

Counts

112 → 3

regimes37.0ms

Accuracy

0% (0.7b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	24
1	17	24

end0.0ms

sample1.7s

Algorithm

intervals

Results

988.0ms	2424×	body	10240	exit
322.0ms	8334×	body	80	valid
74.0ms	277×	body	640	valid
63.0ms	126×	body	1280	valid
34.0ms	190×	body	320	valid
9.0ms	96×	body	160	valid