Details

analyze118.0ms

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
12.5%	87.4%	0.1%	5
31.2%	68.7%	0.1%	6
46.8%	53.1%	0.1%	7
60.9%	39%	0.1%	8
67.9%	31.2%	0.9%	9
74.5%	22.2%	3.2%	10
77.9%	17.2%	5%	11
81.1%	11.8%	7.1%	12
82.7%	9%	8.3%	13
84.3%	6.1%	9.7%	14

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	11×	body	80	invalid

simplify94.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	5108	11

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.1b

Counts

2 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

58×	`*-un-lft-identity`
33×	`times-frac`
27×	`add-sqr-sqrt`
22×	`add-cube-cbrt` `associate-r`
18×	`distribute-lft-out`
9×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `associate-/r` `associate-/r/` `associate-/l`
3×	`flip3-+` `associate-l` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `-commutative`

Counts

2 → 81

Calls

2 calls:

10.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
15.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

series12.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms	(* x (/ (+ (/ x y) 1.0) (+ x 1.0)))

simplify63.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4953	1112
1	4953	1112

prune114.0ms

Filtered

55 candidates to 87 candidates (-58.2%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	83	6	89

Merged error: 0b

Counts

89 → 6

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (* (cbrt (+ (/ x y) 1.0)) (/ (cbrt (+ (/ x y) 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (/ (cbrt (+ (/ x y) 1.0)) (cbrt (+ x 1.0))))
0.2b	(cbrt (+ (/ x y) 1.0))
0.2b	(cbrt (+ (/ x y) 1.0))
0.2b	(cbrt (+ (/ x y) 1.0))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

70×	`*-un-lft-identity`
68×	`cbrt-prod`
55×	`associate-r`
49×	`add-exp-log` `times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`prod-exp` `cbrt-unprod`
25×	`add-cbrt-cube`
17×	`distribute-lft-out`
16×	`cbrt-div`
13×	`pow1` `associate-*r/`
9×	`cbrt-undiv` `frac-times` `div-exp` `associate-*l/`
8×	`flip3-+` `flip-+`
6×	`pow-prod-down`
4×	`add-log-exp`
3×	`pow1/3`
2×	`associate-/r/`
1×	`associate-l` `*-commutative` `div-inv`

Counts

4 → 140

Calls

4 calls:

44.0ms	(* (* x (* (cbrt (+ (/ x y) 1.0)) (/ (cbrt (+ (/ x y) 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (/ (cbrt (+ (/ x y) 1.0)) (cbrt (+ x 1.0))))
6.0ms	(cbrt (+ (/ x y) 1.0))
6.0ms	(cbrt (+ (/ x y) 1.0))
6.0ms	(cbrt (+ (/ x y) 1.0))

series113.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* x (* (cbrt (+ (/ x y) 1.0)) (/ (cbrt (+ (/ x y) 1.0)) (* (cbrt (+ x 1.0)) (cbrt (+ x 1.0)))))) (/ (cbrt (+ (/ x y) 1.0)) (cbrt (+ x 1.0))))
36.0ms	(cbrt (+ (/ x y) 1.0))
36.0ms	(cbrt (+ (/ x y) 1.0))
34.0ms	(cbrt (+ (/ x y) 1.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5115	3340

prune383.0ms

Filtered

106 candidates to 152 candidates (-43.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	152	0	152
Fresh	0	5	5
Picked	0	1	1
Done	0	0	0
Total	152	6	158

Merged error: 0b

Counts

158 → 6

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))) (- x 1.0))
4.3b	(/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))
4.9b	(* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 110

Calls

3 calls:

17.0ms	(* (* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))) (- x 1.0))
11.0ms	(/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))
16.0ms	(* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0))))

series26.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* (* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))) (- x 1.0))
6.0ms	(/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0)))
8.0ms	(* x (/ (+ (/ x y) 1.0) (- (* x x) (* 1.0 1.0))))

simplify37.0ms

Algorithm

egg-herbie

Counts

119 → 119

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5818	2042

prune150.0ms

Filtered

83 candidates to 119 candidates (-43.4%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	119	6	125

Merged error: 0b

Counts

125 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (+ (/ x y) 1.0) (+ x 1.0))
0.1b	(* x (cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)))
0.2b	(pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)
13.9b	(cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

189×	`*-un-lft-identity`
114×	`times-frac`
106×	`cbrt-prod`
88×	`add-sqr-sqrt`
73×	`add-cube-cbrt`
68×	`unpow-prod-down` `cube-prod`
58×	`distribute-lft-out`
53×	`associate-r`
14×	`associate-/r/`
11×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`flip3-+` `flip-+`
7×	`pow1` `div-inv` `unswap-sqr`
4×	`associate-/r` `associate-/l` `add-log-exp` `sqr-pow`
3×	`cube-div` `cube-mult` `pow-unpow` `unpow3` `associate-l`
2×	`cbrt-undiv` `cbrt-div` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `rem-cbrt-cube` `cbrt-unprod`

Counts

4 → 239

Calls

4 calls:

10.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
24.0ms	(* x (cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)))
12.0ms	(pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)
13.0ms	(cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3))

series32.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (+ (/ x y) 1.0) (+ x 1.0))
7.0ms	(* x (cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)))
14.0ms	(pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3)
5.0ms	(cbrt (pow (/ (+ (/ x y) 1.0) (+ x 1.0)) 3))

simplify66.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5235	3601

prune211.0ms

Filtered

112 candidates to 251 candidates (-124.1%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	251	0	251
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	251	6	257

Merged error: 0b

Counts

257 → 6

regimes91.0ms

Accuracy

0% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 0.9b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	19	37

end0.0ms

sample401.0ms

Algorithm

intervals

Results

258.0ms	8000×	body	80	valid
9.0ms	286×	body	80	invalid

Details

analyze118.0ms

sample16.0ms

simplify94.0ms

prune8.0ms

localize10.0ms

rewrite28.0ms

series12.0ms

simplify63.0ms

prune114.0ms

localize17.0ms

rewrite72.0ms

series113.0ms

simplify62.0ms

prune383.0ms

localize11.0ms

rewrite48.0ms

series26.0ms

simplify37.0ms

prune150.0ms

localize10.0ms

rewrite72.0ms

series32.0ms

simplify66.0ms

prune211.0ms

regimes91.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample401.0ms

Profiling