Details

analyze357.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
12.5%	87.4%	0.1%	6
34.3%	65.5%	0.1%	7
46.8%	53%	0.1%	8
48%	51.9%	0.1%	9
63%	36.9%	0.1%	10
71.7%	28.2%	0.1%	11
72%	27.8%	0.1%	12
80.5%	19.4%	0.1%	13
85.4%	14.5%	0.1%	14

sample41.0ms

Algorithm

intervals

Results

11.0ms	194×	body	80	valid
11.0ms	24×	body	1280	valid
6.0ms	20×	body	640	valid
3.0ms	14×	body	320	valid
1.0ms	4×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	9
1	19	9

prune7.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (+ x (sin y)) (* z (cos y)))
0.1b	(* z (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l` `sum-log`
1×	`+-commutative` `associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

6.0ms	(+ (+ x (sin y)) (* z (cos y)))
7.0ms	(* z (cos y))

series19.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(+ (+ x (sin y)) (* z (cos y)))
8.0ms	(* z (cos y))

simplify51.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4958	304
1	4958	304

prune47.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	4	38

Merged error: 0.0b

Counts

38 → 4

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (cos y)) (cbrt (cos y)))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))
0.3b	(cbrt (cos y))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series78.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify44.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5025	459

prune74.0ms

Filtered

50 candidates to 85 candidates (-70.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	84	5	89

Merged error: 0b

Counts

89 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (pow (pow (cos y) 2) 1/3))
0.2b	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
0.2b	(pow (cos y) 2)
0.3b	(cbrt (cos y))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
22×	`add-sqr-sqrt`
19×	`unpow-prod-down`
18×	`associate-r`
16×	`prod-exp`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
9×	`pow-exp`
7×	`pow1` `cbrt-unprod`
6×	`cbrt-prod` `unswap-sqr`
5×	`pow-to-exp` `sqr-pow`
4×	`associate-l` `add-log-exp`
3×	`pow-unpow` `unpow2`
2×	`unpow1/3` `*-commutative`
1×	`pow-pow` `pow1/3` `pow-prod-down`

Counts

4 → 90

Calls

4 calls:

7.0ms	(* z (pow (pow (cos y) 2) 1/3))
11.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
1.0ms	(cbrt (cos y))

series46.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* z (pow (pow (cos y) 2) 1/3))
7.0ms	(* (* z (pow (pow (cos y) 2) 1/3)) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
17.0ms	(cbrt (cos y))

simplify60.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4852	621
1	4852	621

prune104.0ms

Filtered

62 candidates to 102 candidates (-64.5%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	102	5	107

Merged error: 0b

Counts

107 → 5

localize17.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (+ x (sin y)) (+ x (sin y)))
0.2b	(* (cos y) (cos y))
3.4b	(- (* (+ x (sin y)) (+ x (sin y))) (* z (* z (* (cos y) (cos y)))))
26.0b	(/ (- (* (+ x (sin y)) (+ x (sin y))) (* z (* z (* (cos y) (cos y))))) (+ x (- (sin y) (* z (cos y)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
38×	`associate-*r/`
25×	`add-sqr-sqrt`
21×	`add-cube-cbrt`
19×	`flip3-+` `flip-+`
18×	`pow1`
17×	`cos-mult`
16×	`frac-sub`
12×	`frac-times` `times-frac`
10×	`add-exp-log` `add-cbrt-cube` `associate-/l/` `distribute-lft-out`
9×	`swap-sqr`
7×	`associate-r` `associate-l`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/` `add-log-exp`
5×	`sqr-cos-a`
4×	`associate-/r*` `associate--r+`
3×	`associate-/l*`
2×	`pow2` `flip3--` `pow-plus` `pow-prod-down` `prod-exp` `associate--l+` `associate-/r/` `pow-sqr` `*-commutative` `pow-prod-up` `flip--` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

4 → 136

Calls

4 calls:

8.0ms	(* (+ x (sin y)) (+ x (sin y)))
4.0ms	(* (cos y) (cos y))
14.0ms	(- (* (+ x (sin y)) (+ x (sin y))) (* z (* z (* (cos y) (cos y)))))
17.0ms	(/ (- (* (+ x (sin y)) (+ x (sin y))) (* z (* z (* (cos y) (cos y))))) (+ x (- (sin y) (* z (cos y)))))

series81.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (+ x (sin y)) (+ x (sin y)))
6.0ms	(* (cos y) (cos y))
29.0ms	(- (* (+ x (sin y)) (+ x (sin y))) (* z (* z (* (cos y) (cos y)))))
40.0ms	(/ (- (* (+ x (sin y)) (+ x (sin y))) (* z (* z (* (cos y) (cos y))))) (+ x (- (sin y) (* z (cos y)))))

simplify59.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5086	2911

prune168.0ms

Filtered

103 candidates to 148 candidates (-43.7%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	148	5	153

Merged error: 0b

Counts

153 → 5

regimes217.0ms

Accuracy

0% (0.0b 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	11	9
1	11	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

451.0ms	996×	body	1280	valid
349.0ms	5568×	body	80	valid
236.0ms	815×	body	640	valid
84.0ms	403×	body	320	valid
29.0ms	218×	body	160	valid

Details

analyze357.0ms

sample41.0ms

simplify3.0ms

prune7.0ms

localize9.0ms

rewrite14.0ms

series19.0ms

simplify51.0ms

prune47.0ms

localize13.0ms

rewrite11.0ms

series78.0ms

simplify44.0ms

prune74.0ms

localize16.0ms

rewrite24.0ms

series46.0ms

simplify60.0ms

prune104.0ms

localize17.0ms

rewrite49.0ms

series81.0ms

simplify59.0ms

prune168.0ms

regimes217.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling