Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	245×	body	80	nan

simplify74.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

localize15.0ms

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

rewrite66.0ms

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))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
33.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
7.0ms	(* 3.0 (* v v))

series802.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
193.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
501.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
30.0ms	(* 3.0 (* v v))

simplify101.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (84.0ms)

Iter	Nodes	Cost
0	871	1794
1	3992	1686
2	5002	1684

prune396.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))

rewrite61.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-exp-log` `add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`pow-sqr` `pow-prod-up`
7×	`add-cube-cbrt` `*-un-lft-identity`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 125

Calls

4 calls:

36.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
7.0ms	(* 3.0 (* v v))
7.0ms	(* 3.0 (* v v))
7.0ms	(* 3.0 (* v v))

series115.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
25.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))
28.0ms	(* 3.0 (* v v))

simplify144.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	204	556
1	788	379
2	4143	349
3	5002	349

prune337.0ms

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1` `add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-prod` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-div` `log1p-expm1-u` `add-log-exp`
2×	`flip3--` `pow1/3` `associate-r` `*-commutative` `flip--` `unswap-sqr`

Counts

4 → 72

Calls

4 calls:

2.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
2.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
7.0ms	(* 3.0 (* v v))
7.0ms	(* 3.0 (* v v))

series537.0ms

Counts

4 → 12

Calls

4 calls:

242.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
242.0ms	(cbrt (- 1.0 (* 3.0 (* v v))))
24.0ms	(* 3.0 (* v v))
28.0ms	(* 3.0 (* v v))

simplify115.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (108.0ms)

Iter	Nodes	Cost
0	302	606
1	1074	566
2	4539	520
3	5001	518

prune288.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

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	33	28
1	33	28

end0.0ms

sample738.0ms

Algorithm

intervals

Results

284.0ms	8010×	body	80	nan
280.0ms	8000×	body	80	valid