Details

analyze225.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	87.4%	12.6%	6
20.3%	59.3%	20.4%	7
21.1%	51.5%	27.4%	8
35.5%	30.4%	34%	9
35.7%	26.1%	38.1%	10
42.8%	15.4%	41.8%	11
42.9%	13.2%	44%	12
46.4%	7.8%	45.8%	13
46.4%	6.6%	47%	14

sample64.0ms

Algorithm

intervals

Results

24.0ms	47×	body	1280	valid
12.0ms	35×	body	640	valid
11.0ms	145×	body	80	valid
5.0ms	22×	body	320	valid
1.0ms	7×	body	160	valid
1.0ms	1×	body	1280	invalid
0.0ms	5×	body	80	invalid
0.0ms	1×	body	640	invalid
0.0ms	4×	body	80	overflowed

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5415	27

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 26.6b

Counts

2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 eps) x)
0.0b	(exp (neg (* (- 1.0 eps) x)))
0.0b	(exp (neg (* (+ 1.0 eps) x)))
2.2b	(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub`
74×	`exp-neg`
72×	`frac-times`
56×	`neg-sub0` `exp-diff`
38×	`associate-*l/`
36×	`associate-*r/`
29×	`flip3--` `flip--`
27×	`flip3-+` `flip-+`
18×	`un-div-inv`
12×	`add-sqr-sqrt` `exp-prod`
10×	`*-un-lft-identity` `add-log-exp`
8×	`add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-l`
4×	`rem-exp-log`
3×	`associate-r`
2×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `neg-log`
1×	`sub-neg` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 148

Calls

4 calls:

6.0ms	(* (- 1.0 eps) x)
4.0ms	(exp (neg (* (- 1.0 eps) x)))
3.0ms	(exp (neg (* (+ 1.0 eps) x)))
17.0ms	(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

series64.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- 1.0 eps) x)
5.0ms	(exp (neg (* (- 1.0 eps) x)))
6.0ms	(exp (neg (* (+ 1.0 eps) x)))
48.0ms	(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

simplify88.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4953	6083
1	4953	6083

prune344.0ms

Filtered

85 candidates to 160 candidates (-88.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	155	5	160
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	156	5	161

Merged error: 0.4b

Counts

161 → 5

localize8.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x x) (+ (* x 0.6666666666666667) (neg 1.0)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-l` `*-commutative` `flip-+` `add-log-exp` `unswap-sqr`

Counts

1 → 23

Calls

1 calls:

12.0ms

(* (* x x) (+ (* x 0.6666666666666667) (neg 1.0)))

series7.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(* (* x x) (+ (* x 0.6666666666666667) (neg 1.0)))

simplify40.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5701	272

prune50.0ms

Filtered

16 candidates to 26 candidates (-62.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	26	0	26
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Merged error: 0.4b

Counts

31 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 eps) x)
0.0b	(exp (* (- 1.0 eps) x))
0.0b	(exp (neg (* (+ 1.0 eps) x)))
2.5b	(- (* (+ 1.0 (/ 1.0 eps)) (/ 1 (exp (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

54×	`frac-sub`
42×	`frac-times`
32×	`associate-*l/`
25×	`exp-neg`
21×	`associate-*r/`
20×	`flip3--` `flip--`
19×	`neg-sub0` `exp-diff`
18×	`flip3-+` `flip-+`
15×	`un-div-inv`
12×	`add-log-exp`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
7×	`add-cube-cbrt` `exp-prod`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-l`
3×	`associate-r` `rem-exp-log`
2×	`exp-to-pow` `diff-log`
1×	`distribute-lft-neg-in` `neg-mul-1` `sub-neg` `distribute-rgt-neg-in` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

6.0ms	(* (- 1.0 eps) x)
3.0ms	(exp (* (- 1.0 eps) x))
3.0ms	(exp (neg (* (+ 1.0 eps) x)))
17.0ms	(- (* (+ 1.0 (/ 1.0 eps)) (/ 1 (exp (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (- 1.0 eps) x)
5.0ms	(exp (* (- 1.0 eps) x))
7.0ms	(exp (neg (* (+ 1.0 eps) x)))
49.0ms	(- (* (+ 1.0 (/ 1.0 eps)) (/ 1 (exp (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (exp (neg (* (+ 1.0 eps) x)))))

simplify92.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4961	4289
1	4961	4289

prune278.0ms

Filtered

78 candidates to 127 candidates (-62.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	127	5	132

Merged error: 0.4b

Counts

132 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 eps) x)
0.0b	(exp (neg (* (- 1.0 eps) x)))
0.0b	(pow E (neg (* (+ 1.0 eps) x)))
2.5b	(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (pow E (neg (* (+ 1.0 eps) x)))))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

81×	`frac-sub`
72×	`frac-times`
56×	`neg-sub0`
38×	`associate-*l/`
37×	`exp-neg` `pow-neg`
36×	`associate-*r/`
29×	`flip3--` `flip--`
28×	`exp-diff` `pow-sub`
27×	`flip3-+` `flip-+`
18×	`un-div-inv`
13×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
9×	`add-cube-cbrt`
8×	`add-log-exp`
7×	`pow1` `add-exp-log`
6×	`pow-unpow` `exp-prod` `add-cbrt-cube`
5×	`associate-l`
3×	`unpow-prod-down` `associate-r`
2×	`distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `pow-exp` `rem-exp-log`
1×	`pow-to-exp` `sub-neg` `e-exp-1` `pow-pow` `diff-log` `pow-prod-down` `neg-log` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr` `sqr-pow`

Counts

4 → 154

Calls

4 calls:

12.0ms	(* (- 1.0 eps) x)
6.0ms	(exp (neg (* (- 1.0 eps) x)))
4.0ms	(pow E (neg (* (+ 1.0 eps) x)))
24.0ms	(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (pow E (neg (* (+ 1.0 eps) x)))))

series114.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- 1.0 eps) x)
5.0ms	(exp (neg (* (- 1.0 eps) x)))
7.0ms	(pow E (neg (* (+ 1.0 eps) x)))
97.0ms	(- (* (+ 1.0 (/ 1.0 eps)) (exp (neg (* (- 1.0 eps) x)))) (* (- (/ 1.0 eps) 1.0) (pow E (neg (* (+ 1.0 eps) x)))))

simplify127.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	4933	6452
1	4933	6452

prune297.0ms

Filtered

89 candidates to 166 candidates (-86.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	165	1	166
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	166	5	171

Merged error: 0.4b

Counts

171 → 5

regimes125.0ms

Accuracy

96.2% (0.6b remaining)

Error of 1.0b against oracle of 0.4b and baseline of 16.5b

bsearch56.0ms

Steps

Iters	Range		Point
6	0.0012750439604827532	0.009352498148476414	0.009176016535471614

simplify9.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	398	47
1	398	47

end0.0ms

sample2.1s

Algorithm

intervals

Results

933.0ms	1719×	body	1280	valid
433.0ms	1269×	body	640	valid
327.0ms	4107×	body	80	valid
139.0ms	607×	body	320	valid
46.0ms	298×	body	160	valid
18.0ms	226×	body	80	invalid
15.0ms	180×	body	80	overflowed
9.0ms	17×	body	1280	invalid
4.0ms	11×	body	640	invalid
2.0ms	8×	body	320	invalid
0.0ms	2×	body	160	invalid

Details

analyze225.0ms

sample64.0ms

simplify41.0ms

prune9.0ms

localize19.0ms

rewrite39.0ms

series64.0ms

simplify88.0ms

prune344.0ms

localize8.0ms

rewrite12.0ms

series7.0ms

simplify40.0ms

prune50.0ms

localize18.0ms

rewrite35.0ms

series66.0ms

simplify92.0ms

prune278.0ms

localize22.0ms

rewrite64.0ms

series114.0ms

simplify127.0ms

prune297.0ms

regimes125.0ms

bsearch56.0ms

simplify9.0ms

end0.0ms

sample2.1s

Profiling