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

sample87.0ms

Algorithm

intervals

Results

24.0ms	344×	body	80	nan
21.0ms	255×	body	80	valid
3.0ms	43×	body	80	invalid
0.0ms	1×	body	320	valid

simplify25.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5223	21

prune12.0ms

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: 0.1b

Counts

2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (log y)) z)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.1b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

5.0ms	(+ (* x (log y)) z)
14.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

series98.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(+ (* x (log y)) z)
70.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
10.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify29.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5182	1390

prune193.0ms

Filtered

77 candidates to 108 candidates (-40.3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	98	10	108
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	99	10	109

Merged error: 0.0b

Counts

109 → 10

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b 0.5) (* 2 (log (cbrt c))))
0.2b	(* x (log y))
0.5b	(cbrt c)
0.5b	(cbrt c)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`log-prod`
27×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-sqr-sqrt`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`cbrt-prod`
12×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`associate-l`
5×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`pow1/3` `associate-l/` `-commutative`
1×	`flip3--` `log-pow` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

9.0ms	(* (- b 0.5) (* 2 (log (cbrt c))))
4.0ms	(* x (log y))
1.0ms	(cbrt c)
1.0ms	(cbrt c)

series78.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (- b 0.5) (* 2 (log (cbrt c))))
7.0ms	(* x (log y))
23.0ms	(cbrt c)
22.0ms	(cbrt c)

simplify68.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4916	985
1	4916	985

prune158.0ms

Filtered

59 candidates to 105 candidates (-78.0%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	106	9	115

Merged error: 0.0b

Counts

115 → 9

localize30.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- b 0.5) (log (pow c 1/3)))
0.2b	(* x (log y))
0.5b	(cbrt c)
5.2b	(pow c 1/3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
20×	`log-prod`
19×	`*-un-lft-identity`
17×	`add-cube-cbrt`
10×	`pow1` `distribute-rgt-in` `distribute-lft-in`
9×	`add-exp-log` `unpow-prod-down`
8×	`associate-r` `associate-l` `add-cbrt-cube`
4×	`add-log-exp`
3×	`cbrt-prod` `pow-unpow` `sqr-pow`
2×	`pow-prod-down` `associate-l/` `prod-exp` `log-pow` `-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow-to-exp` `flip3--` `pow-pow` `unpow1/3` `pow1/3` `pow-exp` `flip--` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 91

Calls

4 calls:

7.0ms	(* (- b 0.5) (log (pow c 1/3)))
6.0ms	(* x (log y))
1.0ms	(cbrt c)
2.0ms	(pow c 1/3)

series68.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(* (- b 0.5) (log (pow c 1/3)))
7.0ms	(* x (log y))
21.0ms	(cbrt c)
19.0ms	(pow c 1/3)

simplify52.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5039	728

prune187.0ms

Filtered

63 candidates to 103 candidates (-63.5%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	102	1	103
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	102	10	112

Merged error: 0.0b

Counts

112 → 10

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* x (log y))
0.3b	(* b 2/3)
0.3b	(* (log c) (- (* b 2/3) 0.3333333333333333))
0.5b	(cbrt c)

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`pow1`
10×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`log-prod`
4×	`distribute-rgt-in` `distribute-lft-in` `add-log-exp`
3×	`cbrt-prod` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
2×	`sub-neg` `associate-*r/` `log-pow`
1×	`flip3--` `pow1/3` `flip--`

Counts

4 → 77

Calls

4 calls:

4.0ms	(* x (log y))
4.0ms	(* b 2/3)
7.0ms	(* (log c) (- (* b 2/3) 0.3333333333333333))
1.0ms	(cbrt c)

series45.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* x (log y))
2.0ms	(* b 2/3)
15.0ms	(* (log c) (- (* b 2/3) 0.3333333333333333))
21.0ms	(cbrt c)

simplify53.0ms

Algorithm

egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4968	568
1	4968	568

prune99.0ms

Filtered

56 candidates to 89 candidates (-58.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	89	10	99

Merged error: 0.0b

Counts

99 → 10

regimes1.7s

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	49	33
1	49	33

end0.0ms

sample2.3s

Algorithm

intervals

Results

718.0ms	9975×	body	80	nan
660.0ms	7998×	body	80	valid
96.0ms	1195×	body	80	invalid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.0s

sample87.0ms

simplify25.0ms

prune12.0ms

localize18.0ms

rewrite36.0ms

series98.0ms

simplify29.0ms

prune193.0ms

localize22.0ms

rewrite19.0ms

series78.0ms

simplify68.0ms

prune158.0ms

localize30.0ms

rewrite19.0ms

series68.0ms

simplify52.0ms

prune187.0ms

localize26.0ms

rewrite20.0ms

series45.0ms

simplify53.0ms

prune99.0ms

regimes1.7s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling