Details

analyze376.0ms

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample45.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
10.0ms	150×	body	80	nan
0.0ms	2×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	81	16
1	81	16

prune15.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.2b

Counts

2 → 2

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (log (+ x y)) (log z)) t)
0.1b	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
0.2b	(* (- a 0.5) (log t))
0.5b	(+ (log (+ x y)) (log z))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 100

Calls

4 calls:

8.0ms	(- (+ (log (+ x y)) (log z)) t)
12.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
6.0ms	(* (- a 0.5) (log t))
6.0ms	(+ (log (+ x y)) (log z))

series108.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (+ (log (+ x y)) (log z)) t)
53.0ms	(+ (- (+ (log (+ x y)) (log z)) t) (* (- a 0.5) (log t)))
9.0ms	(* (- a 0.5) (log t))
14.0ms	(+ (log (+ x y)) (log z))

simplify27.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5269	1626

prune189.0ms

Filtered

87 candidates to 112 candidates (-28.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	104	8	112
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	106	8	114

Merged error: 0.0b

Counts

114 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t))))) (* (- a 0.5) (log (sqrt t))))
0.1b	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))))
0.2b	(* (- a 0.5) (log (sqrt t)))
0.2b	(* (- a 0.5) (log (sqrt t)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

40×	`log-prod`
30×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
19×	`add-log-exp`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
14×	`sum-log`
13×	`pow1` `associate-+r+`
12×	`associate-r`
10×	`associate-l`
9×	`associate-+l-`
8×	`add-exp-log` `associate-*l/` `add-cbrt-cube`
7×	`log-pow`
6×	`flip3-+` `flip-+`
5×	`associate-+l+`
4×	`log-div` `flip3--` `frac-add` `flip--`
3×	`distribute-lft-out`
2×	`+-commutative` `associate-+r-` `sqrt-pow1` `pow1/2` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 131

Calls

4 calls:

15.0ms	(+ (+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t))))) (* (- a 0.5) (log (sqrt t))))
11.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))))
8.0ms	(* (- a 0.5) (log (sqrt t)))
7.0ms	(* (- a 0.5) (log (sqrt t)))

series134.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(+ (+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t))))) (* (- a 0.5) (log (sqrt t))))
59.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))))
7.0ms	(* (- a 0.5) (log (sqrt t)))
7.0ms	(* (- a 0.5) (log (sqrt t)))

simplify33.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5497	2563

prune192.0ms

Filtered

98 candidates to 143 candidates (-45.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	140	3	143
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	144	7	151

Merged error: 0.0b

Counts

151 → 7

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.5b	(+ (log (+ x y)) (log z))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
30×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
26×	`*-un-lft-identity`
24×	`cbrt-prod`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`associate-+r+`
8×	`pow1` `associate-*l/`
6×	`distribute-lft-out` `add-log-exp`
4×	`add-exp-log` `flip3--` `frac-add` `log-pow` `add-cbrt-cube` `flip--`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `associate-+l-` `log-div` `pow1/3` `sum-log`

Counts

4 → 98

Calls

4 calls:

13.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
11.0ms	(+ (log (+ x y)) (log z))
2.0ms	(cbrt t)
2.0ms	(cbrt t)

series95.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
14.0ms	(+ (log (+ x y)) (log z))
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify59.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4834	1054
1	4834	1054

prune182.0ms

Filtered

91 candidates to 110 candidates (-20.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	108	2	110
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	110	7	117

Merged error: 0b

Counts

117 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt t))
0.6b	(cbrt t)
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt (cbrt t))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
3.0ms	(cbrt t)

series100.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(cbrt (cbrt t))
22.0ms	(cbrt t)
22.0ms	(cbrt t)
22.0ms	(cbrt t)

simplify54.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4917	225
1	4917	225

prune70.0ms

Filtered

39 candidates to 59 candidates (-51.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	59	7	66

Merged error: 0b

Counts

66 → 7

regimes913.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	33
1	31	33

end0.0ms

analyze370.0ms

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%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	68.6%	31.4%	5
0%	65.5%	34.5%	6
0%	59.2%	40.8%	7
0%	51.4%	48.6%	8
0%	41.3%	58.7%	9
0%	28.4%	71.6%	10
2.3%	22.3%	75.4%	11
2.3%	21%	76.7%	12
2.7%	18%	79.3%	13
2.7%	16.4%	80.8%	14

sample1.2s

Algorithm

intervals

Results

586.0ms	8000×	body	80	valid
278.0ms	4178×	body	80	nan
2.0ms	31×	body	80	invalid

Details

analyze376.0ms

sample45.0ms

simplify4.0ms

prune15.0ms

localize18.0ms

rewrite36.0ms

series108.0ms

simplify27.0ms

prune189.0ms

localize18.0ms

rewrite46.0ms

series134.0ms

simplify33.0ms

prune192.0ms

localize29.0ms

rewrite34.0ms

series95.0ms

simplify59.0ms

prune182.0ms

localize26.0ms

rewrite9.0ms

series100.0ms

simplify54.0ms

prune70.0ms

regimes913.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze370.0ms

sample1.2s

Profiling