Details

analyze360.0ms

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

sample42.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
8.0ms	130×	body	80	nan
0.0ms	2×	body	80	invalid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5198	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)))
0.1b	(* (- a 0.5) (log t))
0.6b	(+ (log (+ x y)) (log z))

rewrite35.0ms

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:

7.0ms	(- (+ (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))

series104.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(- (+ (log (+ x y)) (log z)) t)
51.0ms	(+ (- (+ (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))

simplify30.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5089	1608

prune191.0ms

Filtered

85 candidates to 112 candidates (-31.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	9	112
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	105	9	114

Merged error: 0b

Counts

114 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

10.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series129.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
29.0ms	(cbrt (+ x y))
29.0ms	(cbrt (+ x y))
31.0ms	(cbrt (+ x y))

simplify46.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4881	941
1	4881	941

prune167.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	107	9	116

Merged error: 0b

Counts

116 → 9

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 130

Calls

4 calls:

14.0ms	(+ (- (log z) t) (* (- a 0.5) (log (sqrt t))))
12.0ms	(+ (log (+ x y)) (+ (- (log z) t) (* (- a 0.5) (log (sqrt t)))))
8.0ms	(* (- a 0.5) (log (sqrt t)))
8.0ms	(* (- a 0.5) (log (sqrt t)))

series98.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (- (log z) t) (* (- a 0.5) (log (sqrt t))))
57.0ms	(+ (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)))

simplify44.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5053	2063

prune181.0ms

Filtered

99 candidates to 142 candidates (-43.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	142	9	151

Merged error: 0b

Counts

151 → 9

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite29.0ms

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))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)
10.0ms	(+ (log (+ x y)) (log z))

series94.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify27.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5407	1254

prune150.0ms

Filtered

96 candidates to 110 candidates (-14.6%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	5	6
Picked	0	1	1
Done	0	2	2
Total	110	9	119

Merged error: 0b

Counts

119 → 9

regimes1.1s

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	42	28
1	42	28

end0.0ms

sample1.2s

Algorithm

intervals

Results

579.0ms	8000×	body	80	valid
279.0ms	4225×	body	80	nan
2.0ms	27×	body	80	invalid

Details

analyze360.0ms

sample42.0ms

simplify90.0ms

prune15.0ms

localize18.0ms

rewrite35.0ms

series104.0ms

simplify30.0ms

prune191.0ms

localize21.0ms

rewrite21.0ms

series129.0ms

simplify46.0ms

prune167.0ms

localize18.0ms

rewrite46.0ms

series98.0ms

simplify44.0ms

prune181.0ms

localize20.0ms

rewrite29.0ms

series94.0ms

simplify27.0ms

prune150.0ms

regimes1.1s

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.2s

Profiling