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

sample79.0ms

Algorithm

intervals

Results

21.0ms	299×	body	80	nan
20.0ms	256×	body	80	valid
3.0ms	36×	body	80	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	620	21
1	620	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) t) a)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.3b	(* x (log y))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 95

Calls

4 calls:

9.0ms	(+ (+ (+ (* x (log y)) z) t) a)
15.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
7.0ms	(* (- b 0.5) (log c))
4.0ms	(* x (log y))

series101.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(+ (+ (+ (* x (log y)) z) t) a)
66.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
9.0ms	(* (- b 0.5) (log c))
7.0ms	(* x (log y))

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	4790	1459
1	4790	1459

prune173.0ms

Filtered

77 candidates to 107 candidates (-39.0%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	100	7	107
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	7	108

Merged error: 0.0b

Counts

108 → 7

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (* (log (cbrt y)) 2))
0.3b	(* x (log (cbrt y)))
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

5.0ms	(* x (* (log (cbrt y)) 2))
5.0ms	(* x (log (cbrt y)))
1.0ms	(cbrt y)
1.0ms	(cbrt y)

series85.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(* x (* (log (cbrt y)) 2))
23.0ms	(* x (log (cbrt y)))
21.0ms	(cbrt y)
21.0ms	(cbrt y)

simplify53.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4903	520
1	4903	520

prune132.0ms

Filtered

56 candidates to 84 candidates (-50.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (- b 0.5))
0.3b	(* (* (cbrt (- b 0.5)) (cbrt (- b 0.5))) (* (log c) (cbrt (- b 0.5))))
0.4b	(* (log c) (cbrt (- b 0.5)))
0.7b	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

70×	`cbrt-div`
40×	`add-sqr-sqrt`
39×	`cbrt-prod`
35×	`flip3--` `flip--`
34×	`*-un-lft-identity`
32×	`frac-times`
30×	`associate-*r/`
26×	`pow1`
20×	`add-exp-log`
17×	`associate-r`
16×	`add-cube-cbrt` `associate-*l/`
13×	`associate-l`
11×	`pow-prod-down` `add-cbrt-cube`
10×	`swap-sqr` `prod-exp` `cbrt-unprod`
8×	`distribute-lft-out--`
7×	`pow1/3`
6×	`difference-of-squares` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `log-pow`

Counts

4 → 146

Calls

4 calls:

3.0ms	(cbrt (- b 0.5))
16.0ms	(* (* (cbrt (- b 0.5)) (cbrt (- b 0.5))) (* (log c) (cbrt (- b 0.5))))
7.0ms	(* (log c) (cbrt (- b 0.5)))
10.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

series58.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(cbrt (- b 0.5))
12.0ms	(* (* (cbrt (- b 0.5)) (cbrt (- b 0.5))) (* (log c) (cbrt (- b 0.5))))
28.0ms	(* (log c) (cbrt (- b 0.5)))
10.0ms	(* (cbrt (- b 0.5)) (cbrt (- b 0.5)))

simplify53.0ms

Algorithm

egg-herbie

Counts

158 → 158

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5157	2384

prune306.0ms

Filtered

105 candidates to 158 candidates (-50.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	158	0	158
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	158	7	165

Merged error: 0.0b

Counts

165 → 7

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series90.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt y)
25.0ms	(cbrt x)
21.0ms	(cbrt x)
21.0ms	(cbrt x)

simplify45.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5007	196

prune66.0ms

Filtered

40 candidates to 56 candidates (-40.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

regimes1.3s

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 (0.0ms)

Iter	Nodes	Cost
0	36	30
1	36	30

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

sample2.4s

Algorithm

intervals

Results

913.0ms	9735×	body	80	nan
650.0ms	7996×	body	80	valid
95.0ms	1198×	body	80	invalid
1.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

Details

analyze1.0s

sample79.0ms

simplify9.0ms

prune12.0ms

localize18.0ms

rewrite39.0ms

series101.0ms

simplify45.0ms

prune173.0ms

localize26.0ms

rewrite15.0ms

series85.0ms

simplify53.0ms

prune132.0ms

localize24.0ms

rewrite43.0ms

series58.0ms

simplify53.0ms

prune306.0ms

localize33.0ms

rewrite6.0ms

series90.0ms

simplify45.0ms

prune66.0ms

regimes1.3s

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze1.0s

sample2.4s

Profiling