Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	49.9%	50.1%	0
0%	49.9%	50.1%	1
0%	49.9%	50.1%	2
0%	49.9%	50.1%	3
0%	49.9%	50.1%	4
0%	49.9%	50.1%	5
0%	49.9%	50.1%	6
0%	49.9%	50.1%	7
0%	49.9%	50.1%	8
0.4%	49.5%	50.1%	9
0.4%	49.3%	50.3%	10
0.6%	48.9%	50.5%	11
1.1%	48.1%	50.9%	12
1.5%	47.3%	51.2%	13
1.7%	46.9%	51.5%	14

sample220.0ms

Algorithm

intervals

Results

94.0ms	87×	body	2560	valid
67.0ms	116×	body	1280	valid
14.0ms	20×	body	1280	overflowed
11.0ms	30×	body	640	valid
7.0ms	314×	pre	80	true
4.0ms	15×	body	640	overflowed
2.0ms	9×	body	320	valid
2.0ms	3×	body	2560	overflowed
1.0ms	6×	body	320	overflowed
1.0ms	12×	body	80	valid
1.0ms	10×	body	80	overflowed
1.0ms	4×	body	160	overflowed
0.0ms	2×	body	160	valid

simplify35.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5354	24

prune17.0ms

Filtered

1 candidates to 1 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: 59.3b

Counts

2 → 2

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* eps (- (exp (* (+ a b) eps)) 1.0))
3.3b	(- (exp (* a eps)) 1.0)
3.7b	(- (exp (* b eps)) 1.0)
6.4b	(- (exp (* (+ a b) eps)) 1.0)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
10×	`add-log-exp`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
5×	`sub-neg` `associate-r`
4×	`flip3--` `flip--` `distribute-lft-out--` `difference-of-squares`
3×	`diff-log` `associate-l`
2×	`associate-*r/`
1×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 63

Calls

4 calls:

7.0ms	(* eps (- (exp (* (+ a b) eps)) 1.0))
4.0ms	(- (exp (* a eps)) 1.0)
4.0ms	(- (exp (* b eps)) 1.0)
4.0ms	(- (exp (* (+ a b) eps)) 1.0)

series40.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* eps (- (exp (* (+ a b) eps)) 1.0))
7.0ms	(- (exp (* a eps)) 1.0)
7.0ms	(- (exp (* b eps)) 1.0)
14.0ms	(- (exp (* (+ a b) eps)) 1.0)

simplify43.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4923	817
1	4923	817

prune134.0ms

Filtered

62 candidates to 75 candidates (-21.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	72	3	75
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	73	4	77

Merged error: 49.1b

Counts

77 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

3.3b	(- (exp (* a eps)) 1.0)
3.5b	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* b eps) (* (* b b) (+ (* b (* (pow eps 3) 1/6)) (* eps (* eps 1/2)))))))
6.4b	(- (exp (* (+ a b) eps)) 1.0)
15.0b	(* (* b b) (+ (* b (* (pow eps 3) 1/6)) (* eps (* eps 1/2))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
9×	`pow1` `*-un-lft-identity`
8×	`associate-/r/` `add-log-exp`
7×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `associate-*r/` `flip--`
5×	`add-cube-cbrt`
4×	`cbrt-undiv` `frac-times` `flip3-+` `div-exp` `flip-+`
3×	`associate-r` `pow-prod-down`
2×	`sub-neg` `diff-log` `associate-*l/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `times-frac` `associate-l` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 80

Calls

4 calls:

4.0ms	(- (exp (* a eps)) 1.0)
14.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* b eps) (* (* b b) (+ (* b (* (pow eps 3) 1/6)) (* eps (* eps 1/2)))))))
4.0ms	(- (exp (* (+ a b) eps)) 1.0)
13.0ms	(* (* b b) (+ (* b (* (pow eps 3) 1/6)) (* eps (* eps 1/2))))

series662.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(- (exp (* a eps)) 1.0)
620.0ms	(/ (* eps (- (exp (* (+ a b) eps)) 1.0)) (* (- (exp (* a eps)) 1.0) (+ (* b eps) (* (* b b) (+ (* b (* (pow eps 3) 1/6)) (* eps (* eps 1/2)))))))
13.0ms	(- (exp (* (+ a b) eps)) 1.0)
21.0ms	(* (* b b) (+ (* b (* (pow eps 3) 1/6)) (* eps (* eps 1/2))))

simplify49.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4990	2425
1	4990	2425

prune208.0ms

Filtered

69 candidates to 92 candidates (-33.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	91	1	92
Fresh	2	1	3
Picked	1	0	1
Done	0	0	0
Total	94	2	96

Merged error: 0.0b

Counts

96 → 2

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (/ 1 b) (/ 1 a))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`distribute-lft-out`
6×	`times-frac`
4×	`div-inv`
3×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `flip3-+` `frac-add` `sum-log` `add-cbrt-cube` `flip-+`

Counts

1 → 19

Calls

1 calls:

12.0ms

(+ (/ 1 b) (/ 1 a))

series3.0ms

Counts

1 → 3

Calls

1 calls:

2.0ms

(+ (/ 1 b) (/ 1 a))

simplify59.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5285	196

prune38.0ms

Filtered

14 candidates to 22 candidates (-57.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	20	4	24

Merged error: 0b

Counts

24 → 4

localize4.0ms

Local error

Found 1 expressions with local error:

13.8b

(/ (+ b a) (* b a))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
4×	`times-frac` `associate-/l*`
3×	`add-sqr-sqrt` `add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `distribute-lft-out`
1×	`pow1` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 25

Calls

1 calls:

6.0ms

(/ (+ b a) (* b a))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(/ (+ b a) (* b a))

simplify44.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4982	241
1	4982	241

prune25.0ms

Filtered

18 candidates to 28 candidates (-55.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	28	0	28
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	28	4	32

Merged error: 0b

Counts

32 → 4

regimes143.0ms

Accuracy

0% (2.9b remaining)

Error of 3.2b against oracle of 0.3b and baseline of 3.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample6.4s

Algorithm

intervals

Results

2.9s	2615×	body	2560	valid
2.0s	3375×	body	1280	valid
397.0ms	1132×	body	640	valid
275.0ms	627×	body	1280	overflowed
203.0ms	9674×	pre	80	true
106.0ms	363×	body	640	overflowed
103.0ms	156×	body	2560	overflowed
75.0ms	315×	body	320	valid
36.0ms	172×	body	320	overflowed
33.0ms	431×	body	80	valid
21.0ms	132×	body	160	valid
18.0ms	256×	body	80	overflowed
14.0ms	99×	body	160	overflowed
1.0ms	1×	body	2560	invalid

Details

analyze1.7s

sample220.0ms

simplify35.0ms

prune17.0ms

localize15.0ms

rewrite20.0ms

series40.0ms

simplify43.0ms

prune134.0ms

localize23.0ms

rewrite38.0ms

series662.0ms

simplify49.0ms

prune208.0ms

localize4.0ms

rewrite12.0ms

series3.0ms

simplify59.0ms

prune38.0ms

localize4.0ms

rewrite7.0ms

series6.0ms

simplify44.0ms

prune25.0ms

regimes143.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample6.4s

Profiling