Details

analyze333.0ms

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%	74.9%	25.1%	3
0%	74.9%	25.1%	4
0%	74.9%	25.1%	5
0%	62.4%	37.6%	6
0%	31.2%	68.8%	7
0%	31.2%	68.8%	8
0%	31.2%	68.8%	9
0%	28.1%	71.9%	10
6.1%	20.4%	73.5%	11
6.1%	20.4%	73.5%	12
7.7%	18.8%	73.5%	13
9.2%	16.6%	74.3%	14

sample54.0ms

Algorithm

intervals

Results

13.0ms	181×	body	80	valid
11.0ms	29×	body	640	valid
9.0ms	12×	body	1280	valid
4.0ms	19×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	14×	body	80	nan

simplify101.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5210	17

prune8.0ms

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: 9.2b

Counts

2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
0.2b	(* (- x 1.0) (log y))
6.9b	(log (- 1.0 y))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

11.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
10.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
7.0ms	(* (- x 1.0) (log y))
3.0ms	(log (- 1.0 y))

series74.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y))))
37.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (log (- 1.0 y)))) t)
9.0ms	(* (- x 1.0) (log y))
4.0ms	(log (- 1.0 y))

simplify42.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5042	1613

prune214.0ms

Filtered

83 candidates to 103 candidates (-24.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	95	8	103
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	8	104

Merged error: 0.1b

Counts

104 → 8

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* y (/ y (* 1.0 1.0))) -1/2)
0.0b	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
0.0b	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
0.2b	(* (- x 1.0) (log y))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

23×	`associate-*l/`
20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
16×	`flip3--` `frac-add` `flip--`
15×	`*-un-lft-identity`
12×	`pow1` `log-prod`
11×	`add-cube-cbrt` `add-log-exp`
9×	`prod-exp` `cbrt-unprod`
8×	`frac-times`
7×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `associate-r` `flip-+`
6×	`associate-+l+` `associate-l`
5×	`associate-*r/`
4×	`pow-prod-down`
2×	`cbrt-undiv` `associate-+r+` `diff-log` `div-exp` `sum-log` `*-commutative` `distribute-lft-out--` `difference-of-squares`
1×	`+-commutative` `sub-neg` `associate--l+` `log-pow` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

8.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
13.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
10.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
9.0ms	(* (- x 1.0) (log y))

series99.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(* (* y (/ y (* 1.0 1.0))) -1/2)
52.0ms	(- (+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y))))) t)
33.0ms	(+ (* (- x 1.0) (log y)) (* (- z 1.0) (+ (log 1.0) (- (* (* y (/ y (* 1.0 1.0))) -1/2) (* 1.0 y)))))
10.0ms	(* (- x 1.0) (log y))

simplify47.0ms

Algorithm

egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4985	3407
1	4985	3407

prune312.0ms

Filtered

87 candidates to 114 candidates (-31.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	113	9	122

Merged error: 0.1b

Counts

122 → 9

localize24.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- x 1.0) (log (cbrt y)))
0.3b	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite28.0ms

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:

7.0ms	(* (- x 1.0) (log (cbrt y)))
14.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series109.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (- x 1.0) (log (cbrt y)))
37.0ms	(+ (* (- x 1.0) (* 2 (log (cbrt y)))) (* (- x 1.0) (log (cbrt y))))
22.0ms	(cbrt y)
25.0ms	(cbrt y)

simplify87.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4931	1256
1	4931	1256

prune266.0ms

Filtered

95 candidates to 122 candidates (-28.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	3	4	7
Picked	1	0	1
Done	0	1	1
Total	124	7	131

Merged error: 0.1b

Counts

131 → 7

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
0.6b	(cbrt y)
0.7b	(cbrt (sqrt y))
0.7b	(cbrt (sqrt y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`associate-+r+` `log-prod` `sqrt-prod`
5×	`add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
1×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

4 → 59

Calls

4 calls:

6.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
1.0ms	(cbrt y)
2.0ms	(cbrt (sqrt y))
2.0ms	(cbrt (sqrt y))

series107.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* (log (cbrt y)) 2) (log (cbrt (sqrt y))))
24.0ms	(cbrt y)
15.0ms	(cbrt (sqrt y))
16.0ms	(cbrt (sqrt y))

simplify41.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4921	547
1	4921	547

prune122.0ms

Filtered

51 candidates to 71 candidates (-39.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	71	7	78

Merged error: 0.1b

Counts

78 → 7

regimes474.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	66	29
1	66	29

end0.0ms

sample1.4s

Algorithm

intervals

Results

417.0ms	5849×	body	80	valid
299.0ms	793×	body	640	valid
181.0ms	263×	body	1280	valid
154.0ms	669×	body	320	valid
62.0ms	426×	body	160	valid
18.0ms	243×	body	80	nan
2.0ms	32×	body	80	invalid

Details

analyze333.0ms

sample54.0ms

simplify101.0ms

prune8.0ms

localize13.0ms

rewrite35.0ms

series74.0ms

simplify42.0ms

prune214.0ms

localize19.0ms

rewrite44.0ms

series99.0ms

simplify47.0ms

prune312.0ms

localize24.0ms

rewrite28.0ms

series109.0ms

simplify87.0ms

prune266.0ms

localize30.0ms

rewrite13.0ms

series107.0ms

simplify41.0ms

prune122.0ms

regimes474.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.4s

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