Details

analyze374.0ms

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

sample43.0ms

Algorithm

intervals

Results

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

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

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

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 81

Calls

3 calls:

13.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
9.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))
9.0ms	(* (- a 0.5) (log t))

series78.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
19.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))
9.0ms	(* (- a 0.5) (log t))

simplify26.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5177	1268

prune164.0ms

Filtered

67 candidates to 90 candidates (-34.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	81	9	90
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(- (+ (* (- a 0.5) (log t)) (log z)) t)
13.0ms	(+ (log (+ x y)) (- (+ (* (- a 0.5) (log t)) (log z)) t))
7.0ms	(* (- a 0.5) (log t))
8.0ms	(+ (* (- a 0.5) (log t)) (log z))

series86.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(- (+ (* (- a 0.5) (log t)) (log z)) t)
42.0ms	(+ (log (+ x y)) (- (+ (* (- a 0.5) (log t)) (log z)) t))
9.0ms	(* (- a 0.5) (log t))
21.0ms	(+ (* (- a 0.5) (log t)) (log z))

simplify58.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5088	1416

prune153.0ms

Filtered

73 candidates to 102 candidates (-39.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	102	9	111

Merged error: 0.0b

Counts

111 → 9

localize23.0ms

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))

rewrite23.0ms

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:

9.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
3.0ms	(cbrt (+ x y))
5.0ms	(cbrt (+ x y))
3.0ms	(cbrt (+ x y))

series127.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
31.0ms	(cbrt (+ x y))
29.0ms	(cbrt (+ x y))
29.0ms	(cbrt (+ x y))

simplify41.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4881	941
1	4881	941

prune162.0ms

Filtered

75 candidates to 107 candidates (-42.7%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	107	9	116

Merged error: 0.0b

Counts

116 → 9

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a 0.5) (log (cbrt t)))
0.3b	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
28×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
24×	`add-cube-cbrt` `associate-+l+`
12×	`associate-+r+`
10×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`flip3--` `associate-r` `associate-l` `flip--`
4×	`frac-add`
3×	`pow1/3`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

8.0ms	(* (- a 0.5) (log (cbrt t)))
16.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series106.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (- a 0.5) (log (cbrt t)))
39.0ms	(+ (* (- a 0.5) (* 2 (log (cbrt t)))) (* (- a 0.5) (log (cbrt t))))
21.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify85.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4936	1252
1	4936	1252

prune153.0ms

Filtered

95 candidates to 122 candidates (-28.4%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	2	4	6
Picked	0	1	1
Done	0	2	2
Total	122	9	131

Merged error: 0b

Counts

131 → 9

regimes892.0ms

Accuracy

0% (0.2b 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 (1.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16

end0.0ms

sample1.2s

Algorithm

intervals

Results

582.0ms	8000×	body	80	valid
282.0ms	4397×	body	80	nan
2.0ms	28×	body	80	invalid

Details

analyze374.0ms

sample43.0ms

simplify92.0ms

prune15.0ms

localize15.0ms

rewrite34.0ms

series78.0ms

simplify26.0ms

prune164.0ms

localize17.0ms

rewrite41.0ms

series86.0ms

simplify58.0ms

prune153.0ms

localize23.0ms

rewrite23.0ms

series127.0ms

simplify41.0ms

prune162.0ms

localize21.0ms

rewrite30.0ms

series106.0ms

simplify85.0ms

prune153.0ms

regimes892.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.2s

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