Details

analyze386.0ms

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

sample48.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
11.0ms	159×	body	80	nan
0.0ms	1×	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

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

7.0ms	(- (* (- a 0.5) (log t)) t)
7.0ms	(* (- a 0.5) (log t))
9.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))
13.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))

series93.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(- (* (- a 0.5) (log t)) t)
10.0ms	(* (- a 0.5) (log t))
20.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))
54.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))

simplify55.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5038	1469

prune192.0ms

Filtered

82 candidates to 110 candidates (-34.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	104	8	112

Merged error: 0b

Counts

112 → 8

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y)))) t)
0.1b	(* (- a 0.5) (log t))
0.3b	(+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y))))
0.5b	(+ (log z) (log (+ x y)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

13.0ms	(- (+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y)))) t)
6.0ms	(* (- a 0.5) (log t))
11.0ms	(+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y))))
7.0ms	(+ (log z) (log (+ x y)))

series95.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(- (+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y)))) t)
10.0ms	(* (- a 0.5) (log t))
38.0ms	(+ (* (- a 0.5) (log t)) (+ (log z) (log (+ x y))))
16.0ms	(+ (log z) (log (+ x y)))

simplify43.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4985	1663
1	4985	1663

prune168.0ms

Filtered

86 candidates to 108 candidates (-25.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	108	8	116

Merged error: 0b

Counts

116 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (cbrt t))) t))
0.2b	(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
0.6b	(cbrt t)
0.6b	(cbrt t)

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

39×	`log-prod`
37×	`associate-+r+`
30×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod`
21×	`*-un-lft-identity`
19×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`add-log-exp`
12×	`associate--l+`
7×	`sum-log`
4×	`pow1` `add-exp-log` `associate-+l+` `flip3-+` `frac-add` `add-cbrt-cube` `flip-+`
2×	`+-commutative` `flip3--` `pow1/3` `diff-log` `flip--`
1×	`associate-+r-` `sub-neg` `distribute-lft-out`

Counts

4 → 94

Calls

4 calls:

17.0ms	(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (cbrt t))) t))
7.0ms	(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
1.0ms	(cbrt t)
1.0ms	(cbrt t)

series161.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (cbrt t))) t))
65.0ms	(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
24.0ms	(cbrt t)
23.0ms	(cbrt t)

simplify47.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4990	1695
1	4990	1695

prune180.0ms

Filtered

86 candidates to 106 candidates (-23.3%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	106	8	114

Merged error: 0b

Counts

114 → 8

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- a 0.5))
0.3b	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (log t) (cbrt (- a 0.5))))
0.4b	(* (log t) (cbrt (- a 0.5)))
0.7b	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
40×	`add-sqr-sqrt`
39×	`cbrt-prod`
35×	`flip3--` `flip--`
34×	`*-un-lft-identity`
32×	`frac-times`
30×	`associate-*r/`
26×	`pow1`
20×	`add-exp-log`
17×	`associate-r`
16×	`add-cube-cbrt` `associate-*l/`
13×	`associate-l`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`swap-sqr` `prod-exp` `cbrt-unprod`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 146

Calls

4 calls:

3.0ms	(cbrt (- a 0.5))
17.0ms	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (log t) (cbrt (- a 0.5))))
7.0ms	(* (log t) (cbrt (- a 0.5)))
10.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

series55.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (- a 0.5))
12.0ms	(* (* (cbrt (- a 0.5)) (cbrt (- a 0.5))) (* (log t) (cbrt (- a 0.5))))
24.0ms	(* (log t) (cbrt (- a 0.5)))
10.0ms	(* (cbrt (- a 0.5)) (cbrt (- a 0.5)))

simplify68.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4963	2408
1	4963	2408

prune295.0ms

Filtered

104 candidates to 158 candidates (-51.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	160	6	166

Merged error: 0b

Counts

166 → 6

regimes743.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	16
1	37	16

end0.0ms

sample1.3s

Algorithm

intervals

Results

655.0ms	8000×	body	80	valid
317.0ms	4418×	body	80	nan
2.0ms	29×	body	80	invalid

Details

analyze386.0ms

sample48.0ms

simplify92.0ms

prune15.0ms

localize18.0ms

rewrite38.0ms

series93.0ms

simplify55.0ms

prune192.0ms

localize18.0ms

rewrite40.0ms

series95.0ms

simplify43.0ms

prune168.0ms

localize21.0ms

rewrite30.0ms

series161.0ms

simplify47.0ms

prune180.0ms

localize20.0ms

rewrite46.0ms

series55.0ms

simplify68.0ms

prune295.0ms

regimes743.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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