Details

analyze311.0ms

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%	20.5%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.1%	16.6%	74.3%	14

sample46.0ms

Algorithm

intervals

Results

11.0ms	181×	body	80	valid
8.0ms	26×	body	640	valid
7.0ms	10×	body	1280	valid
5.0ms	27×	body	320	valid
2.0ms	12×	body	160	valid
1.0ms	9×	body	80	nan

simplify188.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (186.0ms)

Iter	Nodes	Cost
0	5378	13

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: 8.3b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.3b	(* x (log y))
6.0b	(log (- 1.0 y))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series37.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify48.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4957	979
1	4957	979

prune158.0ms

Filtered

69 candidates to 97 candidates (-40.6%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	91	7	98

Merged error: 0.1b

Counts

98 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* y (/ y (* 1.0 1.0))) -1/2)
0.0b	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
0.0b	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
0.3b	(* x (log y))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`*-un-lft-identity`
15×	`pow1`
12×	`associate-r`
11×	`add-cube-cbrt`
10×	`prod-exp` `cbrt-unprod`
9×	`add-log-exp`
7×	`associate-l`
6×	`log-prod`
5×	`pow-prod-down`
4×	`distribute-rgt-in` `distribute-lft-in`
3×	`associate-r/` `-commutative`
2×	`cbrt-undiv` `diff-log` `div-exp` `log-pow` `distribute-lft-out` `unswap-sqr`
1×	`sub-neg` `flip3--` `flip3-+` `associate-*l/` `associate--l+` `sum-log` `flip--` `flip-+` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 87

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
7.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
12.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
4.0ms	(* x (log y))

series61.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
34.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
14.0ms	(* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))
7.0ms	(* x (log y))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5012	1373

prune157.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	99	7	106

Merged error: 0.1b

Counts

106 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
7.3b	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
10.8b	(log (- (sqrt 1.0) (sqrt y)))
10.9b	(log (+ (sqrt 1.0) (sqrt y)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

4.0ms	(* x (log y))
13.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
5.0ms	(log (- (sqrt 1.0) (sqrt y)))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))

series43.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
21.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
7.0ms	(log (- (sqrt 1.0) (sqrt y)))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))

simplify54.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4962	1311
1	4962	1311

prune213.0ms

Filtered

70 candidates to 106 candidates (-51.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	106	7	113

Merged error: 0.0b

Counts

113 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
7.3b	(+ (cbrt (pow (log (+ (sqrt 1.0) (sqrt y))) 3)) (log (- (sqrt 1.0) (sqrt y))))
10.8b	(log (- (sqrt 1.0) (sqrt y)))
10.9b	(log (+ (sqrt 1.0) (sqrt y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 85

Calls

4 calls:

4.0ms	(* x (log y))
14.0ms	(+ (cbrt (pow (log (+ (sqrt 1.0) (sqrt y))) 3)) (log (- (sqrt 1.0) (sqrt y))))
5.0ms	(log (- (sqrt 1.0) (sqrt y)))
6.0ms	(log (+ (sqrt 1.0) (sqrt y)))

series44.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
19.0ms	(+ (cbrt (pow (log (+ (sqrt 1.0) (sqrt y))) 3)) (log (- (sqrt 1.0) (sqrt y))))
10.0ms	(log (- (sqrt 1.0) (sqrt y)))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4961	1245
1	4961	1245

prune198.0ms

Filtered

65 candidates to 97 candidates (-49.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

regimes298.0ms

Accuracy

0% (0.2b 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	60	25
1	60	25

end0.0ms

sample1.4s

Algorithm

intervals

Results

352.0ms	5545×	body	80	valid
311.0ms	905×	body	640	valid
264.0ms	407×	body	1280	valid
145.0ms	696×	body	320	valid
58.0ms	447×	body	160	valid
16.0ms	240×	body	80	nan
2.0ms	26×	body	80	invalid

Details

analyze311.0ms

sample46.0ms

simplify188.0ms

prune8.0ms

localize13.0ms

rewrite22.0ms

series37.0ms

simplify48.0ms

prune158.0ms

localize20.0ms

rewrite33.0ms

series61.0ms

simplify42.0ms

prune157.0ms

localize17.0ms

rewrite31.0ms

series43.0ms

simplify54.0ms

prune213.0ms

localize20.0ms

rewrite32.0ms

series44.0ms

simplify55.0ms

prune198.0ms

regimes298.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

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