Details

sample75.0ms

Algorithm

intervals

Results

39.0ms	81×	body	1280	valid
12.0ms	41×	body	640	valid
8.0ms	23×	body	2560	valid
5.0ms	30×	body	320	valid
3.0ms	66×	body	80	valid
1.0ms	15×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	5
1	9	5

prune3.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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: 52.9b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.6b	(+ x (sqrt (+ (* x x) 1.0)))
2.8b	(log (+ x (sqrt (+ (* x x) 1.0))))
13.8b	(sqrt (+ (* x x) 1.0))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity`
6×	`add-sqr-sqrt`
5×	`pow1` `add-cube-cbrt` `add-log-exp`
4×	`add-exp-log` `log-prod`
3×	`flip3-+` `sqrt-prod` `add-cbrt-cube` `flip-+`
2×	`log-div` `sqrt-div` `distribute-lft-out`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `rem-log-exp` `sum-log` `log-pow`

Counts

3 → 42

Calls

3 calls:

6.0ms	(+ x (sqrt (+ (* x x) 1.0)))
6.0ms	(log (+ x (sqrt (+ (* x x) 1.0))))
4.0ms	(sqrt (+ (* x x) 1.0))

series18.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ x (sqrt (+ (* x x) 1.0)))
9.0ms	(log (+ x (sqrt (+ (* x x) 1.0))))
4.0ms	(sqrt (+ (* x x) 1.0))

simplify139.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 3 (134.0ms)

Iter	Nodes	Cost
0	309	393
1	1027	364
2	4764	348
3	5002	347

prune120.0ms

Filtered

51 candidates to 42 candidates (17.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0.0b

Counts

52 → 5

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
0.1b	(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
220×	`associate-r`
182×	`add-sqr-sqrt`
140×	`unpow-prod-down` `cube-prod`
118×	`add-cube-cbrt` `*-un-lft-identity`
80×	`sqrt-prod`
40×	`sqr-pow`
30×	`cube-mult` `unpow3`
25×	`add-exp-log` `unswap-sqr`
10×	`prod-exp`
9×	`div-exp`
7×	`add-cbrt-cube`
6×	`pow-to-exp` `pow-exp` `add-log-exp`
4×	`pow1`
3×	`associate-r/` `associate-l*`
2×	`diff-log` `frac-sub` `cbrt-unprod`
1×	`cbrt-undiv` `sub-neg` `flip3--` `flip3-+` `pow-prod-down` `associate--l+` `sum-log` `*-commutative` `flip--` `flip-+` `div-inv`

Counts

2 → 286

Calls

2 calls:

13.0ms	(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
55.0ms	(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

series27.0ms

Counts

2 → 6

Calls

2 calls:

12.0ms	(- (+ (log (sqrt 1.0)) (/ x (sqrt 1.0))) (* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3))))
15.0ms	(* 1/6 (/ (pow x 3) (pow (sqrt 1.0) 3)))

simplify117.0ms

Algorithm

egg-herbie

Counts

292 → 292

Iterations

Useful iterations: 1 (21.0ms)

Iter	Nodes	Cost
0	854	2083
1	4642	1650
2	5002	1650

prune424.0ms

Filtered

292 candidates to 111 candidates (62.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	292	0	292
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	292	5	297

Merged error: 0.0b

Counts

297 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
0.0b	(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
0.2b	(/ 0.125 (pow x 3))
10.5b	(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

53×	`*-un-lft-identity`
43×	`add-sqr-sqrt`
40×	`times-frac`
30×	`add-cube-cbrt`
18×	`add-log-exp`
13×	`unpow-prod-down` `cube-prod`
12×	`associate-/r*`
10×	`add-exp-log`
9×	`distribute-lft-out`
6×	`log-prod` `add-cbrt-cube` `distribute-lft-out--`
5×	`pow1` `sum-log` `difference-of-squares` `sqr-pow`
4×	`cube-mult` `diff-log` `unpow3`
3×	`associate-+r+` `flip3-+` `div-exp` `flip-+` `associate-/l*`
2×	`sub-neg` `log-div` `associate--l+` `frac-sub`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `associate-+r-` `flip3--` `frac-2neg` `rem-log-exp` `pow-exp` `clear-num` `log-pow` `flip--` `div-inv`

Counts

4 → 125

Calls

4 calls:

21.0ms	(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
21.0ms	(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
5.0ms	(/ 0.125 (pow x 3))
21.0ms	(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

series22.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3))))
4.0ms	(- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))
4.0ms	(/ 0.125 (pow x 3))
9.0ms	(log (+ x (- (+ x (/ 0.5 x)) (/ 0.125 (pow x 3)))))

simplify68.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 1 (13.0ms)

Iter	Nodes	Cost
0	505	968
1	2347	911
2	5002	911

prune190.0ms

Filtered

137 candidates to 80 candidates (41.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	137	0	137
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	137	5	142

Merged error: 0.0b

Counts

142 → 5

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (neg 0.0625) (pow x 5))
0.2b	(/ 0.125 (pow x 3))
12.4b	(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
20.7b	(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

rewrite173.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
110×	`*-un-lft-identity`
102×	`add-sqr-sqrt`
76×	`add-cube-cbrt`
47×	`unpow-prod-down`
26×	`distribute-rgt-neg-in`
24×	`distribute-lft-neg-in`
19×	`associate-/r*`
17×	`sqr-pow`
15×	`add-exp-log`
14×	`cube-prod` `distribute-lft-out--`
13×	`associate-/l*`
12×	`log-prod`
10×	`difference-of-squares`
9×	`add-log-exp`
8×	`neg-mul-1` `frac-sub` `add-cbrt-cube`
6×	`div-exp`
5×	`pow1` `log-div`
4×	`cube-mult` `flip3--` `unpow3` `flip--`
3×	`diff-log` `associate--r+`
2×	`cbrt-undiv` `neg-sub0` `pow-to-exp` `sub-neg` `frac-2neg` `div-sub` `pow-exp` `clear-num` `div-inv` `associate--r-`
1×	`distribute-frac-neg` `rem-log-exp` `log-pow`

Counts

4 → 223

Calls

4 calls:

9.0ms	(/ (neg 0.0625) (pow x 5))
6.0ms	(/ 0.125 (pow x 3))
72.0ms	(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
75.0ms	(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

series24.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ (neg 0.0625) (pow x 5))
4.0ms	(/ 0.125 (pow x 3))
10.0ms	(log (- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5)))))
6.0ms	(- (/ 0.125 (pow x 3)) (- (/ 0.5 x) (/ (neg 0.0625) (pow x 5))))

simplify99.0ms

Algorithm

egg-herbie

Counts

235 → 235

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	837	1963
1	3794	1884
2	5002	1876

prune469.0ms

Filtered

235 candidates to 152 candidates (35.3%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	235	0	235
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	235	5	240

Merged error: 0.0b

Counts

240 → 5

regimes49.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 32.2b

bsearch33.0ms

Steps

Iters	Range		Point
10	6.296263866195351e-10	4429.475794956495	0.8962838512349985
9	-481781.8837170955	-0.012224266776747678	-1.0063966518300564

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	27
1	41	27

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	2323×	body	1280	valid
430.0ms	1574×	body	640	valid
257.0ms	789×	body	2560	valid
126.0ms	786×	body	320	valid
86.0ms	2134×	body	80	valid
38.0ms	394×	body	160	valid

Details

sample75.0ms

simplify3.0ms

prune3.0ms

localize7.0ms

rewrite16.0ms

series18.0ms

simplify139.0ms

prune120.0ms

localize11.0ms

rewrite87.0ms

series27.0ms

simplify117.0ms

prune424.0ms

localize10.0ms

rewrite73.0ms

series22.0ms

simplify68.0ms

prune190.0ms

localize13.0ms

rewrite173.0ms

series24.0ms

simplify99.0ms

prune469.0ms

regimes49.0ms

bsearch33.0ms

simplify1.0ms

end0.0ms

sample2.2s

Profiling