Details

sample50.0ms

Algorithm

intervals

Results

13.0ms	249×	body	80	nan
10.0ms	63×	body	640	valid
8.0ms	41×	body	1280	valid
5.0ms	122×	body	80	valid
3.0ms	24×	body	320	valid
0.0ms	6×	body	160	valid

simplify2.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	11
1	14	11

prune5.0ms

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: 20.0b

Counts

2 → 1

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x 1.0))
0.2b	(/ 1.0 (sqrt (+ x 1.0)))
0.3b	(/ 1.0 (sqrt x))
2.6b	(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
73×	`add-sqr-sqrt`
69×	`times-frac`
50×	`sqrt-prod`
42×	`add-cube-cbrt`
13×	`associate-/r*`
11×	`distribute-lft-out--`
9×	`difference-of-squares`
8×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
6×	`associate-/l*` `add-log-exp`
5×	`pow1`
4×	`sqrt-div` `div-inv`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `associate-/r/` `flip-+`
1×	`sub-neg` `rem-sqrt-square` `flip3--` `sqrt-pow1` `pow1/2` `diff-log` `frac-sub` `flip--`

Counts

4 → 133

Calls

4 calls:

6.0ms	(sqrt (+ x 1.0))
6.0ms	(/ 1.0 (sqrt (+ x 1.0)))
4.0ms	(/ 1.0 (sqrt x))
32.0ms	(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

series32.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ x 1.0))
6.0ms	(/ 1.0 (sqrt (+ x 1.0)))
8.0ms	(/ 1.0 (sqrt x))
14.0ms	(- (/ 1.0 (sqrt x)) (/ 1.0 (sqrt (+ x 1.0))))

simplify29.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 0 (16.0ms)

Iter	Nodes	Cost
0	5067	1839

prune277.0ms

Filtered

103 candidates to 145 candidates (-40.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	134	11	145
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	11	146

Merged error: 19.5b

Counts

146 → 11

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.1b	(/ (* 1.0 (- (sqrt (+ 1.0 x)) (sqrt x))) (* (sqrt x) (sqrt (+ 1.0 x))))
0.3b	(* (sqrt x) (sqrt (+ 1.0 x)))
2.7b	(- (sqrt (+ 1.0 x)) (sqrt x))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

26×	`add-sqr-sqrt`
23×	`sqrt-prod`
20×	`*-un-lft-identity`
18×	`add-exp-log` `add-cbrt-cube`
9×	`pow1` `add-cube-cbrt`
7×	`associate-r`
6×	`sqrt-div` `associate-r/` `associate-l*` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `difference-of-squares` `unswap-sqr`
3×	`sqrt-pow1` `flip3-+` `pow1/2` `pow-prod-down` `flip-+` `distribute-lft-out` `distribute-lft-out--`
2×	`flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`sub-neg` `rem-sqrt-square` `frac-2neg` `times-frac` `sqrt-unprod` `diff-log` `clear-num` `associate-/r` `-commutative` `div-inv` `associate-/l*`

Counts

4 → 93

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
19.0ms	(/ (* 1.0 (- (sqrt (+ 1.0 x)) (sqrt x))) (* (sqrt x) (sqrt (+ 1.0 x))))
9.0ms	(* (sqrt x) (sqrt (+ 1.0 x)))
9.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

series55.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 x))
35.0ms	(/ (* 1.0 (- (sqrt (+ 1.0 x)) (sqrt x))) (* (sqrt x) (sqrt (+ 1.0 x))))
7.0ms	(* (sqrt x) (sqrt (+ 1.0 x)))
10.0ms	(- (sqrt (+ 1.0 x)) (sqrt x))

simplify31.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5275	1592

prune218.0ms

Filtered

76 candidates to 105 candidates (-38.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	3	7	10
Picked	1	0	1
Done	0	0	0
Total	107	9	116

Merged error: 0.2b

Counts

116 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ 1.0 x))
0.1b	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
0.2b	(/ (* 1.0 (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt x) (sqrt (+ 1.0 x))))
0.3b	(* (sqrt x) (sqrt (+ 1.0 x)))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

74×	`*-un-lft-identity`
35×	`sqrt-prod`
30×	`add-sqr-sqrt`
29×	`add-exp-log` `add-cbrt-cube` `distribute-lft-out`
25×	`times-frac`
21×	`add-cube-cbrt`
9×	`pow1` `cbrt-undiv` `div-exp`
8×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `associate-/r*`
6×	`sqrt-div` `associate-l`
5×	`flip3-+` `associate-r/` `flip-+` `associate-/l`
4×	`associate-/r/` `add-log-exp` `unswap-sqr`
3×	`sqrt-pow1` `pow1/2` `pow-prod-down` `associate-/l/`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`rem-sqrt-square` `sqrt-unprod` `*-commutative`

Counts

4 → 127

Calls

4 calls:

3.0ms	(sqrt (+ 1.0 x))
14.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
22.0ms	(/ (* 1.0 (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt x) (sqrt (+ 1.0 x))))
9.0ms	(* (sqrt x) (sqrt (+ 1.0 x)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(sqrt (+ 1.0 x))
10.0ms	(/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))
40.0ms	(/ (* 1.0 (/ (+ 1.0 0) (+ (sqrt (+ 1.0 x)) (sqrt x)))) (* (sqrt x) (sqrt (+ 1.0 x))))
7.0ms	(* (sqrt x) (sqrt (+ 1.0 x)))

simplify62.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4883	2064
1	4883	2064

prune294.0ms

Filtered

92 candidates to 139 candidates (-51.1%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	130	9	139
Fresh	5	3	8
Picked	1	0	1
Done	0	0	0
Total	136	12	148

Merged error: 0.0b

Counts

148 → 12

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (/ 1.0 (sqrt x)) (/ 1.0 (+ (+ x 1.0) (* (sqrt x) (sqrt (+ x 1.0))))))
0.2b	(/ 1.0 (+ (+ x 1.0) (* (sqrt x) (sqrt (+ x 1.0)))))
0.3b	(/ 1.0 (sqrt x))
0.3b	(* (sqrt x) (sqrt (+ x 1.0)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
67×	`times-frac`
55×	`*-un-lft-identity`
53×	`add-cube-cbrt`
34×	`sqrt-prod`
29×	`associate-r`
28×	`associate-l`
22×	`add-exp-log` `add-cbrt-cube`
12×	`associate-/r/`
11×	`flip3-+` `associate-*r/` `flip-+`
10×	`pow1` `sqrt-div` `associate-/r*` `unswap-sqr`
8×	`frac-add`
7×	`distribute-rgt-out`
6×	`cbrt-undiv` `div-exp` `associate-/l*`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `div-inv` `add-log-exp`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-unprod` `associate-*l/` `distribute-lft-out`

Counts

4 → 179

Calls

4 calls:

25.0ms	(* (/ 1.0 (sqrt x)) (/ 1.0 (+ (+ x 1.0) (* (sqrt x) (sqrt (+ x 1.0))))))
9.0ms	(/ 1.0 (+ (+ x 1.0) (* (sqrt x) (sqrt (+ x 1.0)))))
4.0ms	(/ 1.0 (sqrt x))
9.0ms	(* (sqrt x) (sqrt (+ x 1.0)))

series42.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(* (/ 1.0 (sqrt x)) (/ 1.0 (+ (+ x 1.0) (* (sqrt x) (sqrt (+ x 1.0))))))
8.0ms	(/ 1.0 (+ (+ x 1.0) (* (sqrt x) (sqrt (+ x 1.0)))))
8.0ms	(/ 1.0 (sqrt x))
7.0ms	(* (sqrt x) (sqrt (+ x 1.0)))

simplify43.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5038	3173

prune349.0ms

Filtered

147 candidates to 191 candidates (-29.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	5	6	11
Picked	1	0	1
Done	0	0	0
Total	192	11	203

Merged error: 0.0b

Counts

203 → 11

regimes64.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	18
1	13	18

end0.0ms

sample1.3s

Algorithm

intervals

Results

296.0ms	1853×	body	640	valid
278.0ms	8058×	body	80	nan
224.0ms	1111×	body	1280	valid
172.0ms	4117×	body	80	valid
75.0ms	623×	body	320	valid
23.0ms	296×	body	160	valid

Details

sample50.0ms

simplify2.0ms

prune5.0ms

localize8.0ms

rewrite54.0ms

series32.0ms

simplify29.0ms

prune277.0ms

localize9.0ms

rewrite43.0ms

series55.0ms

simplify31.0ms

prune218.0ms

localize14.0ms

rewrite54.0ms

series60.0ms

simplify62.0ms

prune294.0ms

localize10.0ms

rewrite55.0ms

series42.0ms

simplify43.0ms

prune349.0ms

regimes64.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.3s

Profiling