Details

analyze329.0ms

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

sample53.0ms

Algorithm

intervals

Results

13.0ms	188×	body	80	valid
11.0ms	29×	body	640	valid
7.0ms	8×	body	1280	valid
4.0ms	16×	body	320	valid
2.0ms	15×	body	160	valid
0.0ms	5×	body	80	nan

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4980	17
1	4980	17

prune10.0ms

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: 7.8b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- 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))
6.6b	(log (- 1.0 y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

12.0ms	(+ (* (- x 1.0) (log y)) (* (- 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))

series71.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
36.0ms	(- (+ (* (- 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))

simplify36.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5024	1596

prune251.0ms

Filtered

82 candidates to 103 candidates (-25.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	93	10	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	94	10	104

Merged error: 0.0b

Counts

104 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 102

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
13.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
7.0ms	(* (- x 1.0) (log y))

series146.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
62.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
68.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
9.0ms	(* (- x 1.0) (log y))

simplify62.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4974	3383
1	4974	3383

prune330.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	115	9	124

Merged error: 0.0b

Counts

124 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 1.0) (* (log (cbrt y)) 2)) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
0.7b	(cbrt y)
6.6b	(log (- 1.0 y))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`log-prod`
13×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`cbrt-prod` `associate-+r+`
11×	`add-cube-cbrt`
8×	`associate-*l/`
6×	`distribute-rgt-in` `distribute-lft-in` `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 → 66

Calls

4 calls:

11.0ms	(+ (* (- x 1.0) (* (log (cbrt y)) 2)) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

series84.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (- x 1.0) (* (log (cbrt y)) 2)) (* (- x 1.0) (log (cbrt y))))
21.0ms	(cbrt y)
21.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify59.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4934	721
1	4934	721

prune178.0ms

Filtered

61 candidates to 78 candidates (-27.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	75	3	78
Fresh	4	3	7
Picked	1	0	1
Done	0	1	1
Total	80	7	87

Merged error: 0b

Counts

87 → 7

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- x 1.0) (* (log (pow y 1/3)) 2)) (* (- x 1.0) (log (cbrt y))))
0.7b	(cbrt y)
5.1b	(pow y 1/3)
6.6b	(log (- 1.0 y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`log-prod`
14×	`add-sqr-sqrt` `*-un-lft-identity`
12×	`add-cube-cbrt` `associate-+r+`
9×	`cbrt-prod`
8×	`associate-*l/`
6×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-log-exp`
5×	`flip3--` `flip--`
4×	`frac-add` `add-cbrt-cube`
3×	`unpow-prod-down` `pow-unpow`
2×	`log-div`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `rem-log-exp` `pow-exp` `sum-log` `log-pow` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

14.0ms	(+ (* (- x 1.0) (* (log (pow y 1/3)) 2)) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
2.0ms	(pow y 1/3)
3.0ms	(log (- 1.0 y))

series93.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* (- x 1.0) (* (log (pow y 1/3)) 2)) (* (- x 1.0) (log (cbrt y))))
21.0ms	(cbrt y)
19.0ms	(pow y 1/3)
3.0ms	(log (- 1.0 y))

simplify50.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4901	762
1	4901	762

prune172.0ms

Filtered

63 candidates to 85 candidates (-34.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	85	7	92

Merged error: 0b

Counts

92 → 7

regimes510.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	125	29
1	125	29

end0.0ms

sample1.4s

Algorithm

intervals

Results

423.0ms	5824×	body	80	valid
297.0ms	798×	body	640	valid
168.0ms	244×	body	1280	valid
162.0ms	695×	body	320	valid
66.0ms	439×	body	160	valid
21.0ms	252×	body	80	nan
3.0ms	40×	body	80	invalid

Details

analyze329.0ms

sample53.0ms

simplify52.0ms

prune10.0ms

localize13.0ms

rewrite36.0ms

series71.0ms

simplify36.0ms

prune251.0ms

localize19.0ms

rewrite44.0ms

series146.0ms

simplify62.0ms

prune330.0ms

localize21.0ms

rewrite19.0ms

series84.0ms

simplify59.0ms

prune178.0ms

localize25.0ms

rewrite23.0ms

series93.0ms

simplify50.0ms

prune172.0ms

regimes510.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

Profiling