Details

analyze7.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample13.0ms

Algorithm

intervals

Results

8.0ms	255×	body	80	valid
0.0ms	1×	body	1280	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	8
1	8	8

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: 0.2b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.2b	(/ x (+ 1.0 (sqrt (+ x 1.0))))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity`
12×	`times-frac`
11×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`distribute-lft-out`
4×	`add-exp-log` `associate-/r*` `add-cbrt-cube` `add-log-exp`
3×	`associate-/l*`
2×	`pow1` `flip3-+` `associate-/r/` `flip-+`
1×	`cbrt-undiv` `+-commutative` `frac-2neg` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

2 → 45

Calls

2 calls:

5.0ms	(+ 1.0 (sqrt (+ x 1.0)))
7.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

series21.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ 1.0 (sqrt (+ x 1.0)))
16.0ms	(/ x (+ 1.0 (sqrt (+ x 1.0))))

simplify22.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	5181	836

prune92.0ms

Filtered

40 candidates to 51 candidates (-27.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	48	3	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	4	52

Merged error: 0b

Counts

52 → 4

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.1b	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
0.4b	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

108×	`times-frac`
95×	`*-un-lft-identity`
61×	`add-sqr-sqrt` `add-cube-cbrt`
19×	`associate-/r*`
17×	`distribute-lft-out`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`div-exp`
7×	`associate-/l*`
6×	`div-inv`
5×	`add-log-exp`
4×	`pow1` `cbrt-undiv`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `pow-flip` `sum-log` `associate-/r/` `inv-pow`

Counts

3 → 133

Calls

3 calls:

5.0ms	(+ 1.0 (sqrt (+ x 1.0)))
8.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
10.0ms	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

series31.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ 1.0 (sqrt (+ x 1.0)))
9.0ms	(/ (+ 1.0 (sqrt (+ x 1.0))) x)
17.0ms	(/ 1 (/ (+ 1.0 (sqrt (+ x 1.0))) x))

simplify51.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5318	2284

prune192.0ms

Filtered

92 candidates to 142 candidates (-54.3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	142	4	146

Merged error: 0b

Counts

146 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b	(pow (sqrt (+ x 1.0)) 3)
0.2b	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
4.2b	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
8.0b	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
62×	`sqrt-div`
43×	`add-sqr-sqrt`
34×	`sqrt-prod`
32×	`flip3-+` `flip-+`
31×	`add-cube-cbrt`
28×	`associate-*r/` `distribute-lft-out`
27×	`times-frac`
23×	`unpow-prod-down` `cube-prod`
21×	`pow1`
16×	`frac-sub`
12×	`frac-times`
11×	`swap-sqr`
9×	`add-exp-log` `sqrt-pow1` `pow1/2` `associate-/r*` `add-cbrt-cube`
8×	`associate-*l/`
7×	`associate-r` `associate-l`
6×	`add-log-exp`
5×	`pow-prod-up`
4×	`sum-cubes` `sub-div` `unswap-sqr`
3×	`pow-unpow` `pow-pow` `pow-prod-down` `pow-sqr` `associate-/l*`
2×	`cube-div` `associate-/r/`
1×	`cbrt-undiv` `pow2` `cube-mult` `pow-to-exp` `sub-neg` `flip3--` `distribute-rgt-out--` `frac-2neg` `pow-plus` `sqrt-unprod` `diff-log` `unpow3` `div-exp` `pow-exp` `prod-exp` `clear-num` `rem-square-sqrt` `*-commutative` `sqrt-pow2` `flip--` `cbrt-unprod` `div-inv` `rem-cube-cbrt` `sqr-pow`

Counts

4 → 183

Calls

4 calls:

5.0ms	(pow (sqrt (+ x 1.0)) 3)
10.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
12.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
18.0ms	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

series32.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(pow (sqrt (+ x 1.0)) 3)
2.0ms	(* (sqrt (+ x 1.0)) (sqrt (+ x 1.0)))
5.0ms	(- (* (sqrt (+ x 1.0)) (sqrt (+ x 1.0))) (* 1.0 (sqrt (+ x 1.0))))
16.0ms	(/ x (+ (pow 1.0 3) (pow (sqrt (+ x 1.0)) 3)))

simplify62.0ms

Algorithm

egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4981	2877
1	4981	2877

prune377.0ms

Filtered

101 candidates to 195 candidates (-93.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	195	0	195
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	195	4	199

Merged error: 0b

Counts

199 → 4

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ 1.0 (sqrt (+ x 1.0)))
0.0b	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
0.1b	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
53×	`add-sqr-sqrt`
52×	`times-frac`
37×	`add-cube-cbrt`
35×	`sqrt-prod`
30×	`associate-r`
14×	`distribute-lft-out`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-l` `associate-/l*` `unswap-sqr`
5×	`pow1` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3-+` `flip-+`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
1×	`+-commutative` `frac-2neg` `associate-r/` `pow-prod-down` `clear-num` `sum-log` `-commutative`

Counts

3 → 116

Calls

3 calls:

6.0ms	(+ 1.0 (sqrt (+ x 1.0)))
8.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
17.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

series51.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ 1.0 (sqrt (+ x 1.0)))
30.0ms	(/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0))))
16.0ms	(* (sqrt x) (/ (sqrt x) (+ 1.0 (sqrt (+ x 1.0)))))

simplify38.0ms

Algorithm

egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5294	2138

prune156.0ms

Filtered

78 candidates to 125 candidates (-60.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	125	4	129

Merged error: 0b

Counts

129 → 4

regimes65.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	8	8

end0.0ms

analyze2.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
50%	50%	0%	2
50%	25%	25%	3
62.5%	12.5%	25%	4
68.7%	6.2%	25%	5
71.8%	3.1%	25%	6
73.4%	1.6%	25%	7
74.2%	0.8%	25%	8
74.6%	0.4%	25%	9
74.8%	0.2%	25%	10
74.9%	0.1%	25%	11
74.9%	0%	25%	12
74.9%	0%	25%	13
74.9%	0%	25%	14

sample295.0ms

Algorithm

intervals

Results

211.0ms	7999×	body	80	valid
0.0ms	1×	body	1280	valid

Details

analyze7.0ms

sample13.0ms

simplify3.0ms

prune2.0ms

localize5.0ms

rewrite14.0ms

series21.0ms

simplify22.0ms

prune92.0ms

localize6.0ms

rewrite31.0ms

series31.0ms

simplify51.0ms

prune192.0ms

localize14.0ms

rewrite57.0ms

series32.0ms

simplify62.0ms

prune377.0ms

localize7.0ms

rewrite35.0ms

series51.0ms

simplify38.0ms

prune156.0ms

regimes65.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze2.0ms

sample295.0ms

Profiling