Details

sample153.0ms

Algorithm

intervals

Results

55.0ms	63×	body	1280	valid
26.0ms	45×	body	640	valid
21.0ms	152×	body	80	valid
7.0ms	62×	body	80	nan
6.0ms	16×	body	320	valid
3.0ms	10×	body	160	valid

simplify28.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5149	26

prune17.0ms

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: 11.3b

Counts

2 → 2

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	(* x (/ 1.0 (tan B)))
0.3b	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
17.5b	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

rewrite66.0ms

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:

22.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
9.0ms	(* x (/ 1.0 (tan B)))
11.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
14.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

series277.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
27.0ms	(* x (/ 1.0 (tan B)))
106.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
35.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

simplify59.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5126	3697

prune555.0ms

Filtered

150 candidates to 190 candidates (-26.7%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	174	16	190
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	175	17	192

Merged error: 10.9b

Counts

192 → 17

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (* 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))
17.5b	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

rewrite52.0ms

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:

5.0ms	(/ (* x 1.0) (tan B))
16.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
13.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
10.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

series266.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ (* x 1.0) (tan B))
107.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
102.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
25.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

simplify282.0ms

Algorithm

egg-herbie

Counts

179 → 179

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4971	3609
1	4971	3609

prune482.0ms

Filtered

141 candidates to 179 candidates (-27.0%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	178	1	179
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	178	18	196

Merged error: 10.9b

Counts

196 → 18

localize22.0ms

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	(* x (/ 1.0 (sin B)))
0.3b	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
17.5b	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

rewrite51.0ms

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:

15.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
7.0ms	(* x (/ 1.0 (sin B)))
11.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
10.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

series248.0ms

Counts

4 → 12

Calls

4 calls:

107.0ms	(* F (/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B)))
13.0ms	(* x (/ 1.0 (sin B)))
100.0ms	(/ (pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0)) (sin B))
28.0ms	(pow (+ (* F F) (+ 2.0 (* x 2.0))) (/ (neg 1.0) 2.0))

simplify54.0ms

Algorithm

egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5178	3685

prune519.0ms

Filtered

148 candidates to 189 candidates (-27.7%)

Pruning

19 alts after pruning (17 fresh and 2 done)

	Pruned	Kept	Total
New	185	4	189
Fresh	3	13	16
Picked	0	1	1
Done	0	1	1
Total	188	19	207

Merged error: 10.9b

Counts

207 → 19

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (/ 1.0 (tan B)))
0.3b	(/ (/ 1 (pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0))) (sin B))
0.4b	(/ 1 (pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0)))
17.4b	(pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

199×	`times-frac`
123×	`add-sqr-sqrt`
118×	`add-cube-cbrt` `*-un-lft-identity`
51×	`unpow-prod-down`
39×	`add-exp-log`
28×	`associate-/l*`
23×	`div-exp`
17×	`sqr-pow`
16×	`add-cbrt-cube`
14×	`associate-r`
13×	`pow-unpow`
10×	`associate-/r*`
8×	`div-inv`
7×	`pow1` `pow-to-exp` `pow-exp`
6×	`rec-exp` `1-exp`
5×	`cbrt-undiv`
4×	`add-log-exp`
3×	`associate-l`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `unswap-sqr`
1×	`tan-quot` `pow-flip` `pow-pow` `associate-r/` `pow-prod-down` `associate-/r/` `-commutative` `associate-/l/` `inv-pow`

Counts

4 → 239

Calls

4 calls:

8.0ms	(* x (/ 1.0 (tan B)))
15.0ms	(/ (/ 1 (pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0))) (sin B))
10.0ms	(/ 1 (pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0)))
8.0ms	(pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0))

series223.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* x (/ 1.0 (tan B)))
100.0ms	(/ (/ 1 (pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0))) (sin B))
67.0ms	(/ 1 (pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0)))
28.0ms	(pow (+ (* F F) (+ 2.0 (* 2.0 x))) (/ 1.0 2.0))

simplify95.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5196	6099

prune533.0ms

Filtered

159 candidates to 251 candidates (-57.9%)

Pruning

20 alts after pruning (17 fresh and 3 done)

	Pruned	Kept	Total
New	250	1	251
Fresh	0	16	16
Picked	0	1	1
Done	0	2	2
Total	250	20	270

Merged error: 10.4b

Counts

270 → 20

regimes596.0ms

Accuracy

0% (0.6b remaining)

Error of 10.3b against oracle of 9.7b and baseline of 10.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	26
1	26	26

end0.0ms

sample3.8s

Algorithm

intervals

Results

1.4s	1709×	body	1280	valid
761.0ms	1417×	body	640	valid
625.0ms	4771×	body	80	valid
264.0ms	686×	body	320	valid
177.0ms	1650×	body	80	nan
86.0ms	337×	body	160	valid

Details

sample153.0ms

simplify28.0ms

prune17.0ms

localize24.0ms

rewrite66.0ms

series277.0ms

simplify59.0ms

prune555.0ms

localize22.0ms

rewrite52.0ms

series266.0ms

simplify282.0ms

prune482.0ms

localize22.0ms

rewrite51.0ms

series248.0ms

simplify54.0ms

prune519.0ms

localize21.0ms

rewrite53.0ms

series223.0ms

simplify95.0ms

prune533.0ms

regimes596.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.8s

Profiling