Details

sample329.0ms

Algorithm

intervals

Results

209.0ms	32×	body	640	valid
59.0ms	64×	body	1280	valid
22.0ms	154×	body	80	valid
8.0ms	18×	body	320	valid
6.0ms	55×	body	80	nan
3.0ms	9×	body	160	valid

simplify436.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	5149	26

prune42.0ms

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: 11.6b

Counts

2 → 2

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
0.3b	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
0.3b	(* x (/ 1.0 (tan B)))
18.0b	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
79×	`add-sqr-sqrt`
64×	`add-cube-cbrt` `*-un-lft-identity`
39×	`associate-r`
34×	`pow-unpow`
25×	`add-exp-log` `unpow-prod-down`
16×	`add-cbrt-cube`
9×	`pow1` `distribute-lft-neg-in` `distribute-rgt-neg-in` `sqr-pow`
7×	`div-exp` `associate-/l*`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `pow-to-exp` `neg-mul-1` `pow-exp` `associate-/r*`
2×	`neg-sub0` `pow-neg` `div-sub` `associate-r/` `distribute-frac-neg` `pow-prod-down` `-commutative` `associate-/l/` `pow-sub`
1×	`tan-quot` `pow-pow` `frac-2neg` `clear-num` `associate-/r/`

Counts

4 → 178

Calls

4 calls:

13.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
9.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
7.0ms	(* x (/ 1.0 (tan B)))
11.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

series249.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
91.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
26.0ms	(* x (/ 1.0 (tan B)))
38.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

simplify62.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5156	3695

prune505.0ms

Filtered

150 candidates to 190 candidates (-26.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	172	18	190
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	173	19	192

Merged error: 11.2b

Counts

192 → 19

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* x 1.0) (tan B))
0.2b	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
0.3b	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
18.0b	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
68×	`add-sqr-sqrt`
58×	`add-cube-cbrt` `*-un-lft-identity`
34×	`pow-unpow`
25×	`add-exp-log` `unpow-prod-down` `associate-r`
16×	`add-cbrt-cube`
9×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `sqr-pow`
8×	`div-exp` `associate-/l*`
7×	`pow1`
6×	`associate-/r*`
5×	`prod-exp`
4×	`cbrt-undiv` `div-inv` `add-log-exp` `unswap-sqr`
3×	`pow-to-exp` `neg-mul-1` `associate-l` `pow-exp` `cbrt-unprod`
2×	`neg-sub0` `pow-neg` `frac-2neg` `div-sub` `distribute-frac-neg` `clear-num` `associate-/l/` `pow-sub`
1×	`tan-quot` `pow-pow` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative`

Counts

4 → 167

Calls

4 calls:

4.0ms	(/ (* x 1.0) (tan B))
15.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
9.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
9.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

series227.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ (* x 1.0) (tan B))
93.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
89.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
22.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

simplify57.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4984	3609
1	4984	3609

prune420.0ms

Filtered

138 candidates to 179 candidates (-29.7%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	175	4	179
Fresh	3	15	18
Picked	1	0	1
Done	0	0	0
Total	179	19	198

Merged error: 11.2b

Counts

198 → 19

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ x (sin B)) (cos B))
0.2b	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
0.3b	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
18.0b	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
79×	`add-sqr-sqrt`
64×	`add-cube-cbrt` `*-un-lft-identity`
34×	`pow-unpow`
28×	`associate-r`
25×	`add-exp-log` `unpow-prod-down`
16×	`associate-l` `add-cbrt-cube`
9×	`pow1` `distribute-lft-neg-in` `distribute-rgt-neg-in` `sqr-pow`
7×	`div-exp` `associate-/l*`
6×	`prod-exp` `unswap-sqr`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `pow-to-exp` `neg-mul-1` `pow-exp` `associate-/r*`
2×	`neg-sub0` `pow-neg` `div-sub` `distribute-frac-neg` `pow-prod-down` `*-commutative` `associate-/l/` `pow-sub`
1×	`pow-pow` `frac-2neg` `associate-r/` `associate-l/` `clear-num`

Counts

4 → 177

Calls

4 calls:

6.0ms	(* (/ x (sin B)) (cos B))
13.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
9.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
9.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

series219.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (/ x (sin B)) (cos B))
92.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
87.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
22.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5232	3682

prune459.0ms

Filtered

149 candidates to 189 candidates (-26.8%)

Pruning

23 alts after pruning (22 fresh and 1 done)

	Pruned	Kept	Total
New	184	5	189
Fresh	1	17	18
Picked	0	1	1
Done	0	0	0
Total	185	23	208

Merged error: 11.2b

Counts

208 → 23

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
0.3b	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
0.3b	(* x (/ (cos B) (sin B)))
18.0b	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

85×	`times-frac`
79×	`add-sqr-sqrt`
64×	`add-cube-cbrt` `*-un-lft-identity`
38×	`associate-r`
34×	`pow-unpow`
25×	`add-exp-log` `unpow-prod-down`
16×	`add-cbrt-cube`
9×	`pow1` `distribute-lft-neg-in` `distribute-rgt-neg-in` `sqr-pow`
7×	`div-exp` `associate-/l*`
6×	`associate-l` `prod-exp` `unswap-sqr`
4×	`cbrt-unprod` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `pow-to-exp` `neg-mul-1` `pow-exp` `associate-/r*`
2×	`neg-sub0` `pow-neg` `div-sub` `associate-r/` `distribute-frac-neg` `pow-prod-down` `-commutative` `associate-/l/` `pow-sub`
1×	`pow-pow` `frac-2neg` `clear-num`

Counts

4 → 177

Calls

4 calls:

13.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
9.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
8.0ms	(* x (/ (cos B) (sin B)))
9.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

series218.0ms

Counts

4 → 12

Calls

4 calls:

92.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
88.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
17.0ms	(* x (/ (cos B) (sin B)))
21.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

simplify61.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5228	3717

prune362.0ms

Filtered

147 candidates to 189 candidates (-28.6%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	21	21
Picked	0	1	1
Done	0	1	1
Total	189	23	212

Merged error: 11.2b

Counts

212 → 23

regimes594.0ms

Accuracy

0% (0.4b remaining)

Error of 11.0b against oracle of 10.6b and baseline of 11.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	29
1	28	29

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.5s	1686×	body	1280	valid
824.0ms	1370×	body	640	valid
673.0ms	4824×	body	80	valid
298.0ms	693×	body	320	valid
165.0ms	1648×	body	80	nan
99.0ms	353×	body	160	valid

Details

sample329.0ms

simplify436.0ms

prune42.0ms

localize26.0ms

rewrite49.0ms

series249.0ms

simplify62.0ms

prune505.0ms

localize23.0ms

rewrite44.0ms

series227.0ms

simplify57.0ms

prune420.0ms

localize24.0ms

rewrite46.0ms

series219.0ms

simplify59.0ms

prune459.0ms

localize24.0ms

rewrite46.0ms

series218.0ms

simplify61.0ms

prune362.0ms

regimes594.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.0s

Profiling