Details

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample81.0ms

Algorithm

intervals

Results

23.0ms	255×	body	80	valid
20.0ms	302×	body	80	nan
4.0ms	54×	body	80	invalid
0.0ms	1×	body	160	valid

simplify71.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	11
1	101	11
2	428	11
3	1514	11
4	4620	11
5	5001	11

prune6.0ms

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: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`add-log-exp`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
7×	`associate-+l+`
4×	`sum-log`
2×	`+-commutative` `flip3-+` `pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`
1×	`flip3--` `flip--` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 85

Calls

4 calls:

6.0ms	(+ (+ (* x (log y)) z) t)
5.0ms	(+ (* x (log y)) z)
7.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series42.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+ (+ (* x (log y)) z) t)
11.0ms	(+ (* x (log y)) z)
13.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	450	531
1	1515	477
2	5002	433

prune146.0ms

Filtered

64 candidates to 97 candidates (-51.6%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	91	6	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	92	6	98

Merged error: 0.0b

Counts

98 → 6

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
0.6b	(cbrt c)

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

42×	`log-prod`
33×	`distribute-rgt-in` `distribute-lft-in`
24×	`cbrt-prod` `add-sqr-sqrt` `associate-+l+`
22×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-+r+`
8×	`associate-*l/`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`associate-l`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 99

Calls

4 calls:

4.0ms	(* x (log y))
14.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series87.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
35.0ms	(+ (* (- b 0.5) (* 2 (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
24.0ms	(cbrt c)
21.0ms	(cbrt c)

simplify57.0ms

Algorithm

egg-herbie

Counts

111 → 111

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	580	891
1	2054	779
2	5001	735

prune193.0ms

Filtered

91 candidates to 111 candidates (-22.0%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	109	2	111
Fresh	1	4	5
Picked	1	0	1
Done	0	0	0
Total	111	6	117

Merged error: 0.0b

Counts

117 → 6

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt c)
0.6b	(cbrt (cbrt c))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 47

Calls

4 calls:

1.0ms	(cbrt c)
1.0ms	(cbrt c)
1.0ms	(cbrt c)
2.0ms	(cbrt (cbrt c))

series98.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt c)
21.0ms	(cbrt c)
21.0ms	(cbrt c)
32.0ms	(cbrt (cbrt c))

simplify78.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	99	239
1	175	221
2	404	181
3	1393	175
4	5002	175

prune125.0ms

Filtered

46 candidates to 59 candidates (-28.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	59	6	65

Merged error: 0.0b

Counts

65 → 6

localize30.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log y))
0.3b	(+ (* (- b 0.5) (* 2 (log (pow c 1/3)))) (* (- b 0.5) (log (cbrt c))))
0.6b	(cbrt c)
5.0b	(pow c 1/3)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

46×	`log-prod`
37×	`distribute-rgt-in` `distribute-lft-in`
28×	`associate-+l+`
25×	`add-sqr-sqrt`
23×	`add-cube-cbrt` `*-un-lft-identity`
15×	`unpow-prod-down`
12×	`associate-+r+`
9×	`cbrt-prod`
8×	`pow1` `associate-*l/`
7×	`add-exp-log`
6×	`add-cbrt-cube` `add-log-exp`
5×	`sqr-pow`
4×	`flip3--` `associate-r` `frac-add` `flip--`
3×	`pow-unpow` `associate-l`
1×	`+-commutative` `pow-to-exp` `pow-pow` `flip3-+` `unpow1/3` `pow1/3` `pow-prod-down` `pow-exp` `prod-exp` `sum-log` `log-pow` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 110

Calls

4 calls:

4.0ms	(* x (log y))
14.0ms	(+ (* (- b 0.5) (* 2 (log (pow c 1/3)))) (* (- b 0.5) (log (cbrt c))))
1.0ms	(cbrt c)
2.0ms	(pow c 1/3)

series96.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(* x (log y))
45.0ms	(+ (* (- b 0.5) (* 2 (log (pow c 1/3)))) (* (- b 0.5) (log (cbrt c))))
21.0ms	(cbrt c)
22.0ms	(pow c 1/3)

simplify78.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	722	943
1	2633	825
2	5001	727

prune214.0ms

Filtered

92 candidates to 122 candidates (-32.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	122	6	128

Merged error: 0.0b

Counts

128 → 6

regimes1.4s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	26
1	45	26

end0.0ms

analyze1.0s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	74.7%	25.3%	8
0%	74.7%	25.3%	9
0%	65.4%	34.6%	10
0%	51.4%	48.6%	11
0%	51.4%	48.6%	12
0%	51.4%	48.6%	13
0%	51.4%	48.6%	14

sample2.2s

Algorithm

intervals

Results

690.0ms	9723×	body	80	nan
655.0ms	7996×	body	80	valid
102.0ms	1256×	body	80	invalid
1.0ms	2×	body	640	valid
0.0ms	1×	body	1280	valid
0.0ms	1×	body	160	valid

Details

analyze1.0s

sample81.0ms

simplify71.0ms

prune6.0ms

localize18.0ms

rewrite24.0ms

series42.0ms

simplify45.0ms

prune146.0ms

localize23.0ms

rewrite25.0ms

series87.0ms

simplify57.0ms

prune193.0ms

localize35.0ms

rewrite7.0ms

series98.0ms

simplify78.0ms

prune125.0ms

localize30.0ms

rewrite26.0ms

series96.0ms

simplify78.0ms

prune214.0ms

regimes1.4s

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze1.0s

sample2.2s

Profiling