Details

sample244.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 50.309375%

Space saved by search: 50.309375%

Guaranteed chance to sample good point: 0%

Results

164.0ms	102×	body	2560	valid
47.0ms	81×	body	1280	valid
7.0ms	39×	body	640	valid
4.0ms	256×	pre	80	true
3.0ms	26×	body	320	valid
1.0ms	8×	body	160	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	4
1	11	4
2	11	4

prune3.0ms

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: 60.2b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

2.3b	(- (/ 1.0 x) (/ 1.0 (tan x)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
11×	`*-un-lft-identity`
10×	`times-frac`
5×	`distribute-lft-out--`
4×	`difference-of-squares`
3×	`add-cube-cbrt` `add-log-exp`
2×	`div-inv`
1×	`pow1` `add-exp-log` `sub-neg` `flip3--` `diff-log` `frac-sub` `add-cbrt-cube` `flip--`

Counts

1 → 22

Calls

1 calls:

12.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

(- (/ 1.0 x) (/ 1.0 (tan x)))

simplify92.0ms

Algorithm

egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	163	196
1	351	186
2	1151	186
3	3993	185
4	5001	185

prune44.0ms

Filtered

21 candidates to 25 candidates (-19.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	25	1	26

Merged error: 0.3b

Counts

26 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
0.1b	(* 0.0021164021164021165 (pow x 5))
0.1b	(* 0.022222222222222223 (pow x 3))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt`
19×	`associate-r`
13×	`add-exp-log`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`unpow-prod-down`
7×	`add-cbrt-cube` `unswap-sqr`
6×	`associate-l` `prod-exp`
5×	`add-log-exp`
4×	`cube-prod` `sqr-pow`
3×	`pow1`
2×	`pow-to-exp` `pow-exp` `*-commutative` `cbrt-unprod`
1×	`+-commutative` `cube-mult` `flip3-+` `unpow3` `sum-log` `flip-+`

Counts

3 → 67

Calls

3 calls:

4.0ms	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
5.0ms	(* 0.0021164021164021165 (pow x 5))
6.0ms	(* 0.022222222222222223 (pow x 3))

series22.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))
4.0ms	(* 0.0021164021164021165 (pow x 5))
4.0ms	(* 0.022222222222222223 (pow x 3))

simplify42.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	282	308
1	1177	281
2	5001	281

prune124.0ms

Filtered

48 candidates to 76 candidates (-58.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	72	4	76
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	72	5	77

Merged error: 0.2b

Counts

77 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
0.6b	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
0.6b	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
0.6b	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

11.0ms	(* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
4.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
4.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
4.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))

series243.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(* (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))) (cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x))))
59.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
57.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
59.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))

simplify58.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	480	1634
1	1767	1548
2	5001	1352

prune481.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	90	9	99
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	90	14	104

Merged error: 0.1b

Counts

104 → 14

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
0.6b	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
0.6b	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
0.6b	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `cbrt-div` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

4.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
4.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
4.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
4.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))

series230.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
57.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
58.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))
58.0ms	(cbrt (+ (* 0.0021164021164021165 (pow x 5)) (* 0.3333333333333333 x)))

simplify123.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (25.0ms)

Iter	Nodes	Cost
0	260	1036
1	886	992
2	4352	852
3	5001	852

prune612.0ms

Filtered

60 candidates to 64 candidates (-6.7%)

Pruning

16 alts after pruning (13 fresh and 3 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	62	16	78

Merged error: 0.1b

Counts

78 → 16

regimes136.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample7.2s

Algorithm

intervals

sampling

Space saved by range analysis: 50.309375%

Space saved by search: 50.309375%

Guaranteed chance to sample good point: 0%

Results

5.2s	3225×	body	2560	valid
1.4s	2578×	body	1280	valid
235.0ms	1226×	body	640	valid
127.0ms	8000×	pre	80	true
73.0ms	602×	body	320	valid
27.0ms	321×	body	160	valid
2.0ms	48×	body	80	valid

Details

sample244.0ms

simplify5.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series20.0ms

simplify92.0ms

prune44.0ms

localize10.0ms

rewrite16.0ms

series22.0ms

simplify42.0ms

prune124.0ms

localize14.0ms

rewrite25.0ms

series243.0ms

simplify58.0ms

prune481.0ms

localize22.0ms

rewrite17.0ms

series230.0ms

simplify123.0ms

prune612.0ms

regimes136.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample7.2s

Profiling