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

sample28.0ms

Algorithm

intervals

Results

9.0ms	59×	body	640	valid
5.0ms	138×	body	80	valid
4.0ms	23×	body	1280	valid
2.0ms	23×	body	320	valid
1.0ms	13×	body	160	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	31	7
2	43	7
3	57	7
4	73	7
5	92	7
6	126	7
7	158	7
8	207	7
9	209	7
10	209	7

prune2.0ms

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: 11.0b

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))
2.7b	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

rewrite71.0ms

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` `associate-+l+` `frac-2neg` `flip3-+` `diff-log` `div-exp` `clear-num` `sum-log` `frac-sub` `flip-+` `div-inv`
1×	`+-commutative` `associate-+l-`

Counts

4 → 114

Calls

4 calls:

6.0ms	(/ 1.0 (- x 1.0))
18.0ms	(- (/ 1.0 (+ x 1.0)) (/ 2.0 x))
5.0ms	(/ 1.0 (+ x 1.0))
37.0ms	(+ (- (/ 1.0 (+ x 1.0)) (/ 2.0 x)) (/ 1.0 (- x 1.0)))

series18.0ms

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)))

simplify52.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	496	865
1	1681	827
2	5001	816

prune200.0ms

Filtered

92 candidates to 126 candidates (-37.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	124	3	127

Merged error: 0.2b

Counts

127 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(- (* 1.0 x) (* (+ x 1.0) 2.0))
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
15.3b	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 96

Calls

4 calls:

7.0ms	(* (+ x 1.0) x)
4.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
11.0ms	(* (* (+ x 1.0) x) (- x 1.0))
15.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

series20.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(* (+ x 1.0) x)
4.0ms	(- (* 1.0 x) (* (+ x 1.0) 2.0))
9.0ms	(* (* (+ x 1.0) x) (- x 1.0))
1.0ms	(+ (* (- (* 1.0 x) (* (+ x 1.0) 2.0)) (- x 1.0)) (* (* (+ x 1.0) x) 1.0))

simplify133.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 1 (23.0ms)

Iter	Nodes	Cost
0	771	1337
1	4470	1257
2	5001	1257

prune221.0ms

Filtered

78 candidates to 108 candidates (-38.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	107	1	108
Fresh	0	1	1
Picked	0	1	1
Done	1	0	1
Total	108	3	111

Merged error: 0.1b

Counts

111 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.1b	(* (* (+ x 1.0) x) (- x 1.0))
0.2b	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

6.0ms	(* (+ x 1.0) x)
10.0ms	(* (* (+ x 1.0) x) (- x 1.0))
11.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

series19.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(* (+ x 1.0) x)
8.0ms	(* (* (+ x 1.0) x) (- x 1.0))
6.0ms	(/ 2.0 (* (* (+ x 1.0) x) (- x 1.0)))

simplify64.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 2 (55.0ms)

Iter	Nodes	Cost
0	430	600
1	2219	516
2	5002	515

prune127.0ms

Filtered

62 candidates to 93 candidates (-50.0%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	89	4	93
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	92	4	96

Merged error: 0b

Counts

96 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (+ x 1.0) x)
0.0b	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
0.2b	(/ 2.0 (* (+ x 1.0) x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

66×	`times-frac`
51×	`add-sqr-sqrt` `*-un-lft-identity`
29×	`add-cube-cbrt`
19×	`add-exp-log` `add-cbrt-cube`
16×	`associate-*l/` `associate-/r/`
12×	`associate-/l*`
10×	`distribute-lft-out--` `difference-of-squares`
8×	`flip3-+` `flip-+` `div-inv`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
5×	`pow1`
4×	`associate-l`
3×	`associate-r` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`flip3--` `pow-prod-down` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out` `unswap-sqr`

Counts

3 → 122

Calls

3 calls:

7.0ms	(* (+ x 1.0) x)
14.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
7.0ms	(/ 2.0 (* (+ x 1.0) x))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(* (+ x 1.0) x)
9.0ms	(/ (/ 2.0 (* (+ x 1.0) x)) (- x 1.0))
3.0ms	(/ 2.0 (* (+ x 1.0) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	560	1012
1	2547	928
2	5002	928

prune183.0ms

Filtered

96 candidates to 131 candidates (-36.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	131	4	135

Merged error: 0b

Counts

135 → 4

regimes33.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	10	5
1	10	5

end0.0ms

analyze7.0ms

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

sample879.0ms

Algorithm

intervals

Results

305.0ms	1875×	body	640	valid
182.0ms	4172×	body	80	valid
117.0ms	580×	body	1280	valid
116.0ms	926×	body	320	valid
38.0ms	447×	body	160	valid
0.0ms	2×	body	80	invalid

Details

analyze6.0ms

sample28.0ms

simplify16.0ms

prune2.0ms

localize9.0ms

rewrite71.0ms

series18.0ms

simplify52.0ms

prune200.0ms

localize15.0ms

rewrite42.0ms

series20.0ms

simplify133.0ms

prune221.0ms

localize7.0ms

rewrite33.0ms

series19.0ms

simplify64.0ms

prune127.0ms

localize8.0ms

rewrite33.0ms

series18.0ms

simplify75.0ms

prune183.0ms

regimes33.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze7.0ms

sample879.0ms

Profiling