Details

sample30.0ms

Algorithm

intervals

Results

10.0ms	288×	body	80	nan
9.0ms	256×	body	80	valid

simplify75.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	194	10
3	416	10
4	816	10
5	1207	10
6	1368	10
7	1505	10
8	1511	10
9	1511	10

prune2.0ms

Filtered

1 candidates to 0 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: 0.0b

Counts

2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
13.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series644.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
323.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
213.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify100.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	871	1794
1	3991	1686
2	5001	1684

prune358.0ms

Filtered

154 candidates to 111 candidates (72.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	152	2	154
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	153	2	155

Merged error: 0b

Counts

155 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

192×	`sqrt-div`
98×	`frac-times`
66×	`flip3--` `flip--`
49×	`associate-*l/`
37×	`add-exp-log` `add-cbrt-cube`
34×	`associate-*r/`
28×	`pow1`
20×	`prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt` `associate-r` `pow-prod-down`
12×	`add-cube-cbrt` `*-un-lft-identity`
9×	`sqrt-prod`
8×	`associate-l`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `unswap-sqr`
1×	`difference-of-squares`

Counts

4 → 176

Calls

4 calls:

21.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
20.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))

series587.0ms

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))
207.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
32.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))

simplify60.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 1 (28.0ms)

Iter	Nodes	Cost
0	1139	3714
1	5002	3120

prune502.0ms

Filtered

188 candidates to 119 candidates (63.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	188	2	190

Merged error: 0b

Counts

190 → 2

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))
1.0b	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

112×	`sqrt-div`
65×	`pow1`
51×	`frac-times`
45×	`add-sqr-sqrt`
32×	`associate-l`
31×	`associate-*r/`
28×	`sqrt-pow1`
27×	`pow-prod-down`
26×	`flip3--` `flip--`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
21×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
18×	`associate-*l/`
12×	`associate-r`
10×	`pow1/2` `pow-prod-up`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `pow2` `pow-plus` `sqrt-unprod` `div-exp` `rem-square-sqrt` `div-inv`

Counts

4 → 182

Calls

4 calls:

11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))
19.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

series524.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))
33.0ms	(* 3.0 (* v v))
254.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify93.0ms

Algorithm

egg-herbie

Counts

194 → 194

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	662	2251
1	2906	2132
2	5001	2107

prune461.0ms

Filtered

194 candidates to 114 candidates (58.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	194	0	194
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	194	2	196

Merged error: 0b

Counts

196 → 2

regimes23.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	17
1	20	17

end0.0ms

sample722.0ms

Algorithm

intervals

Results

281.0ms	8000×	body	80	valid
265.0ms	7924×	body	80	nan