Details

analyze6.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	4
75%	25%	0%	5
87.5%	12.5%	0%	6
93.7%	6.2%	0%	7
96.8%	3.1%	0%	8
98.4%	1.6%	0%	9
99.2%	0.8%	0%	10
99.6%	0.4%	0%	11
99.8%	0.2%	0%	12
99.9%	0.1%	0%	13
99.9%	0.1%	0.1%	14

sample25.0ms

Algorithm

intervals

Results

7.0ms	55×	body	640	valid
5.0ms	137×	body	80	valid
3.0ms	32×	body	320	valid
3.0ms	17×	body	1280	valid
1.0ms	15×	body	160	valid

simplify56.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	880	15
1	880	15

prune8.0ms

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: 12.4b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
0.0b	(/ 1.0 (+ x 1.0))
2.4b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

83×	`*-un-lft-identity`
47×	`times-frac`
43×	`add-sqr-sqrt`
23×	`add-cube-cbrt`
14×	`distribute-lft-out--`
13×	`distribute-lft-out`
11×	`add-log-exp`
9×	`associate-/r*`
8×	`add-exp-log` `add-cbrt-cube` `difference-of-squares`
6×	`associate-/l*`
4×	`pow1` `associate-/r/`
3×	`flip3--` `frac-add` `flip--`
2×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-` `associate-+l+`

Counts

4 → 112

Calls

4 calls:

7.0ms	(/ 1.0 (- x 1.0))
16.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
5.0ms	(/ 1.0 (+ x 1.0))
29.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series17.0ms

Counts

4 → 12

Calls

4 calls:

2.0ms	(/ 1.0 (- x 1.0))
3.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
2.0ms	(/ 1.0 (+ x 1.0))
10.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

simplify45.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4954	1594
1	4954	1594

prune191.0ms

Filtered

95 candidates to 124 candidates (-30.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	2	124
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	122	3	125

Merged error: 0.6b

Counts

125 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* x (+ 1.0 x))
0.0b	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
0.1b	(* x (- (* x x) (* 1.0 1.0)))
15.1b	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

40×	`associate-*r/`
16×	`frac-add`
14×	`flip3--` `flip--`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `flip3-+` `flip-+`
8×	`pow1` `add-exp-log` `frac-times` `add-cube-cbrt` `associate-r` `add-cbrt-cube` `add-log-exp`
7×	`distribute-rgt-in` `distribute-lft-in`
6×	`associate-l`
5×	`sub-neg`
4×	`associate-+r+` `associate-*l/`
2×	`associate-+l+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`+-commutative` `diff-log` `sum-log` `distribute-lft-out` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

6.0ms	(* x (+ 1.0 x))
4.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
6.0ms	(* x (- (* x x) (* 1.0 1.0)))
11.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

series18.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(* x (+ 1.0 x))
6.0ms	(- (* 1.0 x) (* (+ 1.0 x) 2.0))
7.0ms	(* x (- (* x x) (* 1.0 1.0)))
1.0ms	(+ (* (- x 1.0) (- (* 1.0 x) (* (+ 1.0 x) 2.0))) (* 1.0 (* x (+ 1.0 x))))

simplify40.0ms

Algorithm

egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (27.0ms)

Iter	Nodes	Cost
0	5336	2335

prune210.0ms

Filtered

81 candidates to 102 candidates (-25.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	1	1
Picked	1	0	1
Done	1	0	1
Total	103	2	105

Merged error: 0.6b

Counts

105 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b	(* x (- (* x x) (* 1.0 1.0)))
0.6b	(/ 2.0 (* x (- (* x x) (* 1.0 1.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/l*`
2×	`cbrt-undiv` `sub-neg` `flip3--` `div-exp` `prod-exp` `associate-/r/` `flip--` `cbrt-unprod` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

6.0ms	(* x (- (* x x) (* 1.0 1.0)))
7.0ms	(/ 2.0 (* x (- (* x x) (* 1.0 1.0))))

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (- (* x x) (* 1.0 1.0)))
4.0ms	(/ 2.0 (* x (- (* x x) (* 1.0 1.0))))

simplify47.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5673	585

prune76.0ms

Filtered

39 candidates to 52 candidates (-33.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (/ 1 x) (/ 2.0 (- (* x x) (* 1.0 1.0))))
0.1b	(/ 2.0 (- (* x x) (* 1.0 1.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
40×	`times-frac`
28×	`*-un-lft-identity`
26×	`add-exp-log` `add-cube-cbrt`
18×	`associate-r`
16×	`add-cbrt-cube`
13×	`associate-l`
9×	`div-exp`
8×	`prod-exp`
7×	`difference-of-squares`
6×	`unswap-sqr`
5×	`cbrt-undiv`
4×	`pow1` `associate-/r*` `associate-/r/` `cbrt-unprod`
3×	`div-inv` `associate-/l*`
2×	`rec-exp` `flip3--` `1-exp` `flip--` `add-log-exp`
1×	`frac-times` `frac-2neg` `associate-r/` `pow-prod-down` `associate-l/` `clear-num` `*-commutative`

Counts

2 → 94

Calls

2 calls:

14.0ms	(* (/ 1 x) (/ 2.0 (- (* x x) (* 1.0 1.0))))
5.0ms	(/ 2.0 (- (* x x) (* 1.0 1.0)))

series8.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(* (/ 1 x) (/ 2.0 (- (* x x) (* 1.0 1.0))))
4.0ms	(/ 2.0 (- (* x x) (* 1.0 1.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4954	1364
1	4954	1364

prune123.0ms

Filtered

75 candidates to 100 candidates (-33.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	99	1	100
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	100	5	105

Merged error: 0b

Counts

105 → 5

regimes32.0ms

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	29	13
1	29	13

end0.0ms

sample720.0ms

Algorithm

intervals

Results

255.0ms	1899×	body	640	valid
149.0ms	4145×	body	80	valid
98.0ms	968×	body	320	valid
95.0ms	559×	body	1280	valid
31.0ms	429×	body	160	valid
0.0ms	1×	body	80	invalid

Details

analyze6.0ms

sample25.0ms

simplify56.0ms

prune8.0ms

localize9.0ms

rewrite60.0ms

series17.0ms

simplify45.0ms

prune191.0ms

localize15.0ms

rewrite30.0ms

series18.0ms

simplify40.0ms

prune210.0ms

localize6.0ms

rewrite14.0ms

series11.0ms

simplify47.0ms

prune76.0ms

localize7.0ms

rewrite22.0ms

series8.0ms

simplify63.0ms

prune123.0ms

regimes32.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample720.0ms

Profiling