Details

analyze320.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample48.0ms

Algorithm

intervals

Results

12.0ms	184×	body	80	valid
11.0ms	30×	body	640	valid
7.0ms	9×	body	1280	valid
4.0ms	18×	body	320	valid
2.0ms	15×	body	160	valid
0.0ms	4×	body	80	nan
0.0ms	1×	body	80	invalid

simplify100.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (98.0ms)

Iter	Nodes	Cost
0	5210	17

prune8.0ms

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: 6.5b

Counts

2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (log (- 1.0 y)))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.1b	(* (- x 1.0) (log y))
5.5b	(log (- 1.0 y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-sqr-sqrt`
25×	`*-un-lft-identity`
21×	`log-prod`
13×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-l`
9×	`add-exp-log` `add-log-exp`
8×	`distribute-rgt-in` `distribute-lft-in` `associate-r` `add-cbrt-cube`
6×	`distribute-lft-out--` `difference-of-squares`
4×	`flip3--` `associate-*l/` `flip--`
3×	`log-pow`
2×	`log-div` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `rem-log-exp` `associate--l+` `sum-log`

Counts

4 → 93

Calls

4 calls:

9.0ms	(* (- z 1.0) (log (- 1.0 y)))
11.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series53.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (- z 1.0) (log (- 1.0 y)))
34.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

simplify55.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4979	1314
1	4979	1314

prune211.0ms

Filtered

77 candidates to 105 candidates (-36.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	95	10	105
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	10	106

Merged error: 0.1b

Counts

106 → 10

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
0.1b	(* (- x 1.0) (log y))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

24×	`associate-*l/`
22×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`flip3--` `flip--`
16×	`frac-add`
12×	`frac-times` `add-cube-cbrt` `log-prod`
11×	`add-log-exp`
10×	`pow1` `flip3-+` `associate-l` `flip-+`
9×	`associate-r`
8×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
6×	`associate-+l+` `associate-*r/`
3×	`distribute-lft-out--` `difference-of-squares`
2×	`associate-+r+` `diff-log` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`
1×	`+-commutative` `sub-neg` `associate--l+`

Counts

4 → 111

Calls

4 calls:

15.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
13.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
7.0ms	(* (- x 1.0) (log y))

series106.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))
49.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y))))) t)
33.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* (/ y 1.0) (/ y 1.0)) -1/2) (* 1.0 y)))))
12.0ms	(* (- x 1.0) (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5025	4216

prune370.0ms

Filtered

99 candidates to 123 candidates (-24.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	122	11	133

Merged error: 0.1b

Counts

133 → 11

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log y))
8.7b	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
12.6b	(log (+ (sqrt 1.0) (sqrt y)))
13.0b	(log (- (sqrt 1.0) (sqrt y)))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

34×	`log-prod` `*-un-lft-identity`
32×	`add-sqr-sqrt`
16×	`sqrt-prod`
13×	`pow1`
12×	`add-cube-cbrt`
9×	`associate-+r+` `difference-of-squares`
8×	`add-exp-log` `log-div` `distribute-lft-out`
7×	`log-pow`
6×	`add-cbrt-cube`
5×	`associate-+l+` `associate-l` `distribute-lft-out--`
4×	`associate-r` `add-log-exp`
3×	`distribute-rgt-in` `flip3--` `distribute-lft-in` `flip3-+` `flip--` `flip-+`
2×	`associate-+l-` `associate-+r-` `rem-log-exp` `associate-*l/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 98

Calls

4 calls:

7.0ms	(* (- x 1.0) (log y))
15.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- x 1.0) (log y))
18.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))
8.0ms	(log (- (sqrt 1.0) (sqrt y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5100	1436

prune264.0ms

Filtered

75 candidates to 110 candidates (-46.7%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	109	12	121

Merged error: 0.1b

Counts

121 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)
5.5b	(log (- 1.0 y))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

41×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `associate-+l+`
21×	`add-sqr-sqrt` `*-un-lft-identity`
19×	`add-cube-cbrt`
12×	`associate-+r+`
8×	`associate-*l/`
6×	`add-log-exp`
5×	`pow1` `add-exp-log` `flip3--` `flip--`
4×	`frac-add` `add-cbrt-cube`
2×	`log-div` `pow1/3`
1×	`+-commutative` `flip3-+` `rem-log-exp` `sum-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

13.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

series80.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
21.0ms	(cbrt y)
21.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify28.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5451	1184

prune180.0ms

Filtered

90 candidates to 102 candidates (-13.3%)

Pruning

11 alts after pruning (8 fresh and 3 done)

	Pruned	Kept	Total
New	100	2	102
Fresh	3	6	9
Picked	0	1	1
Done	0	2	2
Total	103	11	114

Merged error: 0.1b

Counts

114 → 11

regimes590.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	29
1	64	29

end0.0ms

sample1.3s

Algorithm

intervals

Results

396.0ms	5861×	body	80	valid
267.0ms	740×	body	640	valid
197.0ms	287×	body	1280	valid
157.0ms	690×	body	320	valid
58.0ms	422×	body	160	valid
17.0ms	243×	body	80	nan
2.0ms	35×	body	80	invalid

Details

analyze320.0ms

sample48.0ms

simplify100.0ms

prune8.0ms

localize16.0ms

rewrite32.0ms

series53.0ms

simplify55.0ms

prune211.0ms

localize17.0ms

rewrite49.0ms

series106.0ms

simplify62.0ms

prune370.0ms

localize19.0ms

rewrite36.0ms

series42.0ms

simplify30.0ms

prune264.0ms

localize18.0ms

rewrite25.0ms

series80.0ms

simplify28.0ms

prune180.0ms

regimes590.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling