Details

analyze621.0ms

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

sample61.0ms

Algorithm

intervals

Results

20.0ms	29×	body	1280	valid
11.0ms	164×	body	80	valid
11.0ms	30×	body	640	valid
3.0ms	15×	body	320	valid
3.0ms	18×	body	160	valid
1.0ms	9×	body	80	nan
0.0ms	1×	body	80	invalid

simplify198.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (196.0ms)

Iter	Nodes	Cost
0	5378	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: 12.1b

Counts

2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.3b	(* x (log y))
6.2b	(log (- 1.0 y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 56

Calls

3 calls:

7.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series31.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify45.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4935	654
1	4935	654

prune128.0ms

Filtered

47 candidates to 65 candidates (-38.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	58	7	65
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	7	66

Merged error: 0.1b

Counts

66 → 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)))))
0.0b	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
0.3b	(* x (log y))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
5.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
7.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
4.0ms	(* x (log y))

series74.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
28.0ms	(+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
36.0ms	(- (+ (* x (log y)) (* z (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
7.0ms	(* x (log y))

simplify58.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5011	1440

prune175.0ms

Filtered

65 candidates to 94 candidates (-44.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	92	9	101

Merged error: 0.1b

Counts

101 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
0.5b	(cbrt (* x (log y)))
0.5b	(cbrt (* x (log y)))
0.5b	(cbrt (* x (log y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
2.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (cbrt (* x (log y))) (cbrt (* x (log y))))
22.0ms	(cbrt (* x (log y)))
22.0ms	(cbrt (* x (log y)))
24.0ms	(cbrt (* x (log y)))

simplify138.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (132.0ms)

Iter	Nodes	Cost
0	4974	412
1	4974	412

prune139.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	69	10	79

Merged error: 0.1b

Counts

79 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (* x (log y)))
0.5b	(cbrt (* x (log y)))
0.5b	(cbrt x)
0.5b	(cbrt (log y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
5×	`pow1`
4×	`add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
1×	`log-pow`

Counts

4 → 41

Calls

4 calls:

2.0ms	(cbrt (* x (log y)))
2.0ms	(cbrt (* x (log y)))
1.0ms	(cbrt x)
1.0ms	(cbrt (log y))

series104.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (* x (log y)))
22.0ms	(cbrt (* x (log y)))
22.0ms	(cbrt x)
38.0ms	(cbrt (log y))

simplify50.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4923	256
1	4923	256

prune77.0ms

Filtered

39 candidates to 53 candidates (-35.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	1	7	8
Picked	0	1	1
Done	0	1	1
Total	53	10	63

Merged error: 0.1b

Counts

63 → 10

regimes390.0ms

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

sample1.5s

Algorithm

intervals

Results

382.0ms	5448×	body	80	valid
336.0ms	930×	body	640	valid
285.0ms	422×	body	1280	valid
168.0ms	715×	body	320	valid
72.0ms	485×	body	160	valid
19.0ms	270×	body	80	nan
3.0ms	38×	body	80	invalid

Details

analyze621.0ms

sample61.0ms

simplify198.0ms

prune9.0ms

localize14.0ms

rewrite15.0ms

series31.0ms

simplify45.0ms

prune128.0ms

localize20.0ms

rewrite26.0ms

series74.0ms

simplify58.0ms

prune175.0ms

localize21.0ms

rewrite13.0ms

series100.0ms

simplify138.0ms

prune139.0ms

localize26.0ms

rewrite7.0ms

series104.0ms

simplify50.0ms

prune77.0ms

regimes390.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.5s

Profiling