Details

sample30.0ms

Algorithm

intervals

Results

9.0ms	275×	body	80	nan
9.0ms	256×	body	80	valid

simplify77.0ms

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite37.0ms

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:

12.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms	(* 3.0 (* v v))

series611.0ms

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
79.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
200.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 3.0 (* v v))

simplify107.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (84.0ms)

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

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (cbrt (sqrt (- 1.0 (* 3.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 3.0 (* v v))))))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
40×	`cbrt-prod`
26×	`pow1`
21×	`add-exp-log`
20×	`sqrt-prod`
19×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
18×	`associate-l`
12×	`cbrt-div` `sqrt-div` `associate-r` `unswap-sqr`
11×	`swap-sqr` `pow-prod-down`
10×	`prod-exp` `cbrt-unprod`
6×	`flip3--` `pow1/3` `flip--`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`associate-r/` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 129

Calls

4 calls:

11.0ms	(* (cbrt (sqrt (- 1.0 (* 3.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 3.0 (* v v))))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))

series319.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(* (cbrt (sqrt (- 1.0 (* 3.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 3.0 (* v v))))))
24.0ms	(* 3.0 (* v v))
29.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))

simplify51.0ms

Algorithm

egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	388	1388
1	1447	1308
2	5001	1217

prune384.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

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	17	10
1	17	10

end0.0ms

sample714.0ms

Algorithm

intervals

Results

269.0ms	8000×	body	80	valid
266.0ms	8031×	body	80	nan