Details

analyze42.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
25%	25%	50%	4
25%	25%	50%	5
31.2%	18.7%	50%	6
34.3%	15.6%	50%	7
39%	10.9%	50%	8
40.6%	8.6%	50.8%	9
42.9%	5.9%	51.2%	10
43.7%	4.5%	51.8%	11
44.9%	3%	52.1%	12
45.3%	2.3%	52.4%	13
45.9%	1.5%	52.6%	14

sample18.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
0.0ms	3×	body	80	invalid

simplify33.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	799	14
1	799	14

prune7.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.2b

Counts

2 → 1

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ y (* 3.0 (sqrt x)))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ 1.0 (* x 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 80

Calls

4 calls:

11.0ms	(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ y (* 3.0 (sqrt x)))))
5.0ms	(/ y (* 3.0 (sqrt x)))
4.0ms	(/ 1.0 (* x 9.0))
5.0ms	(* 3.0 (sqrt x))

series25.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ y (* 3.0 (sqrt x)))))
11.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ 1.0 (* x 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify25.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5212	898

prune172.0ms

Filtered

68 candidates to 92 candidates (-35.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	83	9	92
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 9

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x)))
0.0b	(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x))))
0.3b	(/ 1.0 (* x 9.0))
0.4b	(/ (/ y 3.0) (sqrt x))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

144×	`times-frac`
90×	`*-un-lft-identity`
85×	`add-sqr-sqrt`
83×	`add-cube-cbrt`
42×	`sqrt-prod`
16×	`associate-/l*`
14×	`add-exp-log` `add-cbrt-cube`
11×	`add-log-exp`
9×	`div-inv`
7×	`associate-/r*`
5×	`cbrt-undiv` `div-exp`
4×	`pow1`
2×	`frac-2neg` `diff-log` `clear-num` `sum-log` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `flip3-+` `frac-add` `prod-exp` `flip--` `cbrt-unprod` `flip-+` `associate-/l/` `associate--r+` `difference-of-squares`

Counts

4 → 162

Calls

4 calls:

34.0ms	(+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x)))
39.0ms	(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x))))
7.0ms	(/ 1.0 (* x 9.0))
13.0ms	(/ (/ y 3.0) (sqrt x))

series33.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x)))
9.0ms	(- 1.0 (+ (/ 1.0 (* x 9.0)) (/ (/ y 3.0) (sqrt x))))
2.0ms	(/ 1.0 (* x 9.0))
12.0ms	(/ (/ y 3.0) (sqrt x))

simplify66.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4964	2337
1	4964	2337

prune221.0ms

Filtered

124 candidates to 174 candidates (-40.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	173	1	174
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	175	8	183

Merged error: 0.0b

Counts

183 → 8

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (+ (/ (/ 1.0 x) 9.0) (/ y (* 3.0 (sqrt x)))))
0.2b	(/ y (* 3.0 (sqrt x)))
0.3b	(/ (/ 1.0 x) 9.0)
0.3b	(* 3.0 (sqrt x))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
57×	`add-sqr-sqrt`
56×	`*-un-lft-identity`
51×	`add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube` `associate-/l*`
9×	`add-log-exp`
6×	`pow1` `associate-r` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r*` `sqrt-prod`
3×	`associate-l`
2×	`frac-2neg` `diff-log` `prod-exp` `clear-num` `cbrt-unprod` `distribute-lft-out--` `unswap-sqr`
1×	`sub-neg` `flip3--` `pow-prod-down` `sum-log` `*-commutative` `flip--` `associate-/l/` `distribute-lft-out` `associate--r+` `difference-of-squares`

Counts

4 → 129

Calls

4 calls:

27.0ms	(- 1.0 (+ (/ (/ 1.0 x) 9.0) (/ y (* 3.0 (sqrt x)))))
5.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ (/ 1.0 x) 9.0)
5.0ms	(* 3.0 (sqrt x))

series23.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(- 1.0 (+ (/ (/ 1.0 x) 9.0) (/ y (* 3.0 (sqrt x)))))
9.0ms	(/ y (* 3.0 (sqrt x)))
2.0ms	(/ (/ 1.0 x) 9.0)
4.0ms	(* 3.0 (sqrt x))

simplify56.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4967	1527
1	4967	1527

prune212.0ms

Filtered

111 candidates to 141 candidates (-27.0%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	141	8	149

Merged error: 0b

Counts

149 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ y (* 3.0 (sqrt x)))
0.2b	(/ 1.0 (* x (sqrt 9.0)))
0.3b	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
0.3b	(* 3.0 (sqrt x))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

69×	`times-frac`
45×	`add-sqr-sqrt`
41×	`add-cube-cbrt` `*-un-lft-identity`
28×	`sqrt-prod`
25×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
10×	`div-inv`
9×	`cbrt-undiv` `div-exp`
8×	`associate-/r*`
6×	`pow1` `associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`pow-prod-down` `*-commutative` `associate-/l/`

Counts

4 → 136

Calls

4 calls:

5.0ms	(/ y (* 3.0 (sqrt x)))
5.0ms	(/ 1.0 (* x (sqrt 9.0)))
8.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
5.0ms	(* 3.0 (sqrt x))

series32.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(/ y (* 3.0 (sqrt x)))
6.0ms	(/ 1.0 (* x (sqrt 9.0)))
14.0ms	(/ (/ 1.0 (* x (sqrt 9.0))) (sqrt 9.0))
4.0ms	(* 3.0 (sqrt x))

simplify66.0ms

Algorithm

egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4949	1476
1	4949	1476

prune208.0ms

Filtered

99 candidates to 148 candidates (-49.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	7	7
Picked	0	1	1
Done	0	0	0
Total	148	8	156

Merged error: 0b

Counts

156 → 8

regimes110.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	18
1	64	18

end0.0ms

sample477.0ms

Algorithm

intervals

Results

344.0ms	8000×	body	80	valid
4.0ms	88×	body	80	invalid

Details

analyze42.0ms

sample18.0ms

simplify33.0ms

prune7.0ms

localize9.0ms

rewrite27.0ms

series25.0ms

simplify25.0ms

prune172.0ms

localize17.0ms

rewrite101.0ms

series33.0ms

simplify66.0ms

prune221.0ms

localize9.0ms

rewrite47.0ms

series23.0ms

simplify56.0ms

prune212.0ms

localize11.0ms

rewrite28.0ms

series32.0ms

simplify66.0ms

prune208.0ms

regimes110.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample477.0ms

Profiling