Details

analyze300.0ms

Algorithm: search

sample53.0ms

Algorithm

intervals

Results

12.0ms	34×	body	640	valid
10.0ms	164×	body	80	valid
8.0ms	13×	body	1280	valid
8.0ms	30×	body	320	valid
2.0ms	15×	body	160	valid
1.0ms	14×	body	80	nan
0.0ms	3×	body	80	invalid

simplify21.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	7
1	30	7
2	39	7
3	45	7
4	60	7
5	88	7
6	125	7
7	176	7
8	208	7
9	225	7
10	293	7
11	293	7

prune4.0ms

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: 12.6b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
0.0b	(* z (log (- 1.0 y)))
0.2b	(* x (log y))
8.0b	(log (- 1.0 y))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

6.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
6.0ms	(* z (log (- 1.0 y)))
4.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

series36.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- (+ (* x (log y)) (* z (log (- 1.0 y)))) t)
8.0ms	(* z (log (- 1.0 y)))
7.0ms	(* x (log y))
3.0ms	(log (- 1.0 y))

simplify46.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	458	643
1	1650	563
2	5002	529

prune157.0ms

Filtered

66 candidates to 98 candidates (-48.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	92	6	98
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	93	6	99

Merged error: 0.0b

Counts

99 → 6

localize19.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
0.0b	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
0.2b	(* x (log y))
6.3b	(* z (pow y 2))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-exp-log`
27×	`add-sqr-sqrt`
26×	`prod-exp`
24×	`associate-r`
18×	`add-log-exp`
17×	`*-un-lft-identity` `add-cbrt-cube`
15×	`add-cube-cbrt`
12×	`div-exp`
9×	`pow1` `associate-l`
8×	`pow-to-exp` `times-frac` `pow-exp`
7×	`unpow-prod-down`
6×	`log-prod` `diff-log` `cbrt-unprod` `unswap-sqr`
4×	`sum-log`
3×	`distribute-rgt-in` `distribute-lft-in` `*-commutative` `unpow2` `sqr-pow`
2×	`cbrt-undiv` `pow-prod-down`
1×	`associate--l-` `associate-+r-` `sub-neg` `flip3--` `associate-*r/` `associate--l+` `log-pow` `flip--` `div-inv` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 113

Calls

4 calls:

10.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
9.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
4.0ms	(* x (log y))
5.0ms	(* z (pow y 2))

series65.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(- (+ (* x (log y)) (- (* z (log 1.0)) (+ (* 1.0 (* z y)) (* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))))) t)
10.0ms	(* 1/2 (/ (* z (pow y 2)) (pow 1.0 2)))
7.0ms	(* x (log y))
6.0ms	(* z (pow y 2))

simplify70.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	549	922
1	2343	817
2	5002	817

prune209.0ms

Filtered

74 candidates to 125 candidates (-68.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	125	6	131

Merged error: 0.0b

Counts

131 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
10.2b	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
15.0b	(log (- (sqrt 1.0) (sqrt y)))
15.0b	(log (+ (sqrt 1.0) (sqrt y)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 94

Calls

4 calls:

5.0ms	(* x (log y))
13.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
6.0ms	(log (- (sqrt 1.0) (sqrt y)))
5.0ms	(log (+ (sqrt 1.0) (sqrt y)))

series41.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
18.0ms	(+ (log (+ (sqrt 1.0) (sqrt y))) (log (- (sqrt 1.0) (sqrt y))))
9.0ms	(log (- (sqrt 1.0) (sqrt y)))
7.0ms	(log (+ (sqrt 1.0) (sqrt y)))

simplify49.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	522	1022
1	1941	953
2	5001	931

prune223.0ms

Filtered

70 candidates to 106 candidates (-51.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	106	6	112

Merged error: 0.0b

Counts

112 → 6

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt y)))
0.7b	(cbrt y)
0.7b	(cbrt y)
8.0b	(log (- 1.0 y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

series66.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* x (log (cbrt y)))
20.0ms	(cbrt y)
23.0ms	(cbrt y)
3.0ms	(log (- 1.0 y))

simplify71.0ms

Algorithm

egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 3 (65.0ms)

Iter	Nodes	Cost
0	276	416
1	852	373
2	3048	343
3	5001	335

prune98.0ms

Filtered

57 candidates to 82 candidates (-43.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	80	2	82
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	82	6	88

Merged error: 0.0b

Counts

88 → 6

regimes291.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	15
1	30	15

end0.0ms

analyze298.0ms

Algorithm: search

sample1.4s

Algorithm

intervals

Results

353.0ms	5473×	body	80	valid
304.0ms	877×	body	640	valid
275.0ms	416×	body	1280	valid
162.0ms	750×	body	320	valid
69.0ms	484×	body	160	valid
17.0ms	267×	body	80	nan
2.0ms	35×	body	80	invalid

Details

analyze300.0ms

sample53.0ms

simplify21.0ms

prune4.0ms

localize11.0ms

rewrite21.0ms

series36.0ms

simplify46.0ms

prune157.0ms

localize19.0ms

rewrite33.0ms

series65.0ms

simplify70.0ms

prune209.0ms

localize17.0ms

rewrite32.0ms

series41.0ms

simplify49.0ms

prune223.0ms

localize16.0ms

rewrite12.0ms

series66.0ms

simplify71.0ms

prune98.0ms

regimes291.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze298.0ms

sample1.4s

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