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

sample41.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
7.0ms	111×	body	80	nan

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (89.0ms)

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))
0.2b	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
0.2b	(+ (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))
13.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
9.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))

series87.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- (* (- a 0.5) (log t)) t)
9.0ms	(* (- a 0.5) (log t))
50.0ms	(+ (log (+ x y)) (+ (log z) (- (* (- a 0.5) (log t)) t)))
19.0ms	(+ (log z) (- (* (- a 0.5) (log t)) t))

simplify58.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5038	1469

prune175.0ms

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: 0.0b

Counts

112 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

5.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt z) (cbrt z))
24.0ms	(cbrt z)
21.0ms	(cbrt z)
21.0ms	(cbrt z)

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5165	356

prune138.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

7.0ms	(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
14.0ms	(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (cbrt t))) t))
1.0ms	(cbrt t)
3.0ms	(cbrt t)

series149.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (log z) (* (- a 0.5) (* 2 (log (cbrt t)))))
47.0ms	(+ (+ (log z) (* (- a 0.5) (* 2 (log (cbrt t))))) (- (* (- a 0.5) (log (cbrt t))) t))
22.0ms	(cbrt t)
21.0ms	(cbrt t)

simplify49.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4990	1695
1	4990	1695

prune185.0ms

Filtered

86 candidates to 106 candidates (-23.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	3	3	6
Picked	1	0	1
Done	0	1	1
Total	108	6	114

Merged error: 0b

Counts

114 → 6

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (log z) (* (- a 0.5) (* 2 (log (pow t 1/3)))))
0.2b	(+ (+ (log z) (* (- a 0.5) (* 2 (log (pow t 1/3))))) (- (* (- a 0.5) (log (cbrt t))) t))
0.6b	(cbrt t)
5.1b	(pow t 1/3)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

43×	`log-prod`
41×	`associate-+r+`
34×	`distribute-rgt-in` `distribute-lft-in`
22×	`*-un-lft-identity`
20×	`add-sqr-sqrt` `add-cube-cbrt`
15×	`unpow-prod-down` `add-log-exp`
12×	`associate--l+`
9×	`cbrt-prod`
7×	`sum-log`
5×	`pow1` `add-exp-log` `sqr-pow`
4×	`associate-+l+` `flip3-+` `frac-add` `add-cbrt-cube` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `flip3--` `diff-log` `flip--`
1×	`pow-to-exp` `associate-+r-` `sub-neg` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `distribute-lft-out`

Counts

4 → 105

Calls

4 calls:

8.0ms	(+ (log z) (* (- a 0.5) (* 2 (log (pow t 1/3)))))
16.0ms	(+ (+ (log z) (* (- a 0.5) (* 2 (log (pow t 1/3))))) (- (* (- a 0.5) (log (cbrt t))) t))
1.0ms	(cbrt t)
2.0ms	(pow t 1/3)

series151.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (log z) (* (- a 0.5) (* 2 (log (pow t 1/3)))))
61.0ms	(+ (+ (log z) (* (- a 0.5) (* 2 (log (pow t 1/3))))) (- (* (- a 0.5) (log (cbrt t))) t))
21.0ms	(cbrt t)
20.0ms	(pow t 1/3)

simplify42.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5614	1692

prune183.0ms

Filtered

91 candidates to 117 candidates (-28.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	117	6	123

Merged error: 0b

Counts

123 → 6

regimes839.0ms

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	42	24
1	42	24

end0.0ms

sample1.3s

Algorithm

intervals

Results

607.0ms	8000×	body	80	valid
285.0ms	4238×	body	80	nan
2.0ms	31×	body	80	invalid

Details

analyze374.0ms

sample41.0ms

simplify91.0ms

prune15.0ms

localize18.0ms

rewrite38.0ms

series87.0ms

simplify58.0ms

prune175.0ms

localize24.0ms

rewrite10.0ms

series90.0ms

simplify44.0ms

prune138.0ms

localize21.0ms

rewrite28.0ms

series149.0ms

simplify49.0ms

prune185.0ms

localize29.0ms

rewrite32.0ms

series151.0ms

simplify42.0ms

prune183.0ms

regimes839.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

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