Details

analyze290.0ms

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

sample54.0ms

Algorithm

intervals

Results

13.0ms	166×	body	80	valid
11.0ms	33×	body	640	valid
10.0ms	16×	body	1280	valid
5.0ms	25×	body	320	valid
2.0ms	16×	body	160	valid
0.0ms	3×	body	80	nan

simplify49.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4986	13
1	4986	13

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: 12.8b

Counts

2 → 1

localize10.0ms

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))
6.3b	(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))

series39.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(- (+ (* 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))

simplify44.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5152	977

prune188.0ms

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: 0.0b

Counts

98 → 7

localize17.0ms

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))

rewrite34.0ms

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)
6.0ms	(- (+ (* 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))))
4.0ms	(* x (log y))

series58.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
33.0ms	(- (+ (* 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))

simplify35.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5443	1388

prune192.0ms

Filtered

64 candidates to 99 candidates (-54.7%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	3	3	6
Picked	1	0	1
Done	0	0	0
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) (* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y)))))
0.0b	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y))))) t)
0.0b	(* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y))))
0.3b	(* x (log y))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

5.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y)))))
8.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y))))) t)
9.0ms	(* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y))))
4.0ms	(* x (log y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y)))))
34.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y))))) t)
14.0ms	(* z (+ (log 1.0) (- (* y (* y -0.5)) (* 1.0 y))))
7.0ms	(* x (log y))

simplify46.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5131	1412

prune187.0ms

Filtered

70 candidates to 95 candidates (-35.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
9.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series87.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* x (log (cbrt y)))
21.0ms	(+ (* x (* (log (cbrt y)) 2)) (* x (log (cbrt y))))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify72.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4942	592
1	4942	592

prune146.0ms

Filtered

62 candidates to 90 candidates (-45.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	87	3	90
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	90	7	97

Merged error: 0.0b

Counts

97 → 7

regimes324.0ms

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	111	21
1	111	21

end0.0ms

sample1.4s

Algorithm

intervals

Results

355.0ms	5461×	body	80	valid
310.0ms	904×	body	640	valid
256.0ms	402×	body	1280	valid
160.0ms	743×	body	320	valid
64.0ms	490×	body	160	valid
16.0ms	250×	body	80	nan
3.0ms	41×	body	80	invalid

Details

analyze290.0ms

sample54.0ms

simplify49.0ms

prune9.0ms

localize10.0ms

rewrite22.0ms

series39.0ms

simplify44.0ms

prune188.0ms

localize17.0ms

rewrite34.0ms

series58.0ms

simplify35.0ms

prune192.0ms

localize14.0ms

rewrite28.0ms

series78.0ms

simplify46.0ms

prune187.0ms

localize20.0ms

rewrite19.0ms

series87.0ms

simplify72.0ms

prune146.0ms

regimes324.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

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