Details

analyze840.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	74.8%	25.2%	5
0%	74.8%	25.2%	6
0%	74.8%	25.2%	7
0%	74.8%	25.2%	8
0%	74.8%	25.2%	9
0%	62.3%	37.7%	10
0%	56.1%	43.9%	11
0%	56.1%	43.9%	12
1.6%	54.5%	43.9%	13
2.4%	53.7%	43.9%	14

sample35.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
2.0ms	37×	body	80	invalid
2.0ms	40×	body	80	nan

simplify266.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (264.0ms)

Iter	Nodes	Cost
0	3717	16
1	3717	16

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: 0.1b

Counts

2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

6.0ms	(* (- a 0.5) b)
14.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
8.0ms	(- (+ (+ x y) z) (* z (log t)))
4.0ms	(* z (log t))

series59.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* (- a 0.5) b)
37.0ms	(+ (- (+ (+ x y) z) (* z (log t))) (* (- a 0.5) b))
11.0ms	(- (+ (+ x y) z) (* z (log t)))
7.0ms	(* z (log t))

simplify42.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4998	1309
1	4998	1309

prune159.0ms

Filtered

71 candidates to 100 candidates (-40.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	91	9	100
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	9	101

Merged error: 0.0b

Counts

101 → 9

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (log (cbrt t)))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
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 → 102

Calls

4 calls:

5.0ms	(* z (log (cbrt t)))
10.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series86.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* z (log (cbrt t)))
25.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (cbrt t))))
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify79.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4879	844
1	4879	844

prune166.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	113	1	114
Fresh	0	8	8
Picked	1	0	1
Done	0	0	0
Total	114	9	123

Merged error: 0b

Counts

123 → 9

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (* 2 (log (cbrt t))))
0.3b	(+ (* z (* 2 (log (cbrt t)))) (* z (log (pow t 1/3))))
0.6b	(cbrt t)
4.7b	(pow t 1/3)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

62×	`log-prod`
55×	`distribute-rgt-in` `distribute-lft-in`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`cbrt-prod`
24×	`associate-+l+`
14×	`associate-+r+`
10×	`pow1` `add-exp-log`
9×	`unpow-prod-down` `add-cbrt-cube`
6×	`add-log-exp`
3×	`pow-unpow` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `associate-r` `pow-exp` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

4 → 121

Calls

4 calls:

6.0ms	(* z (* 2 (log (cbrt t))))
12.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (pow t 1/3))))
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series90.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* z (* 2 (log (cbrt t))))
30.0ms	(+ (* z (* 2 (log (cbrt t)))) (* z (log (pow t 1/3))))
21.0ms	(cbrt t)
19.0ms	(pow t 1/3)

simplify69.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4984	976
1	4984	976

prune191.0ms

Filtered

89 candidates to 133 candidates (-49.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	135	7	142

Merged error: 0b

Counts

142 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

36×	`log-prod`
27×	`add-log-exp`
25×	`*-un-lft-identity`
24×	`add-sqr-sqrt`
20×	`add-cube-cbrt`
18×	`distribute-rgt-in` `distribute-lft-in` `sqrt-prod`
12×	`pow1` `associate-r` `associate--r+`
10×	`sum-log`
8×	`add-exp-log` `add-cbrt-cube`
6×	`diff-log` `associate-l` `log-pow`
4×	`associate-+r-`
3×	`distribute-lft-out`
2×	`sqrt-pow1` `pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `associate--l-` `sub-neg` `associate-+r+` `flip3--` `flip3-+` `associate--l+` `flip--` `flip-+`

Counts

4 → 111

Calls

4 calls:

6.0ms	(+ z (+ x (- y (* z (log (sqrt t))))))
11.0ms	(- (+ z (+ x (- y (* z (log (sqrt t)))))) (* z (log (sqrt t))))
5.0ms	(* z (log (sqrt t)))
7.0ms	(* z (log (sqrt t)))

series46.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(+ z (+ x (- y (* z (log (sqrt t))))))
15.0ms	(- (+ z (+ x (- y (* z (log (sqrt t)))))) (* z (log (sqrt t))))
9.0ms	(* z (log (sqrt t)))
9.0ms	(* z (log (sqrt t)))

simplify46.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5044	1377

prune98.0ms

Filtered

78 candidates to 123 candidates (-57.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	123	7	130

Merged error: 0b

Counts

130 → 7

regimes1.2s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	107	26
1	107	26

end0.0ms

sample932.0ms

Algorithm

intervals

Results

472.0ms	7998×	body	80	valid
65.0ms	1120×	body	80	invalid
59.0ms	1152×	body	80	nan
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze840.0ms

sample35.0ms

simplify266.0ms

prune10.0ms

localize12.0ms

rewrite35.0ms

series59.0ms

simplify42.0ms

prune159.0ms

localize19.0ms

rewrite21.0ms

series86.0ms

simplify79.0ms

prune166.0ms

localize25.0ms

rewrite27.0ms

series90.0ms

simplify69.0ms

prune191.0ms

localize15.0ms

rewrite34.0ms

series46.0ms

simplify46.0ms

prune98.0ms

regimes1.2s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample932.0ms

Profiling