Details

sample27.0ms

Algorithm

intervals

Results

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

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	182	10
3	370	10
4	713	10
5	1066	10
6	1201	10
7	1308	10
8	1308	10

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 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)))))
0.2b	(* 3.0 (* v v))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
20×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`flip3--` `flip--` `add-log-exp`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 86

Calls

3 calls:

2.0ms	(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))

series292.0ms

Counts

3 → 9

Calls

3 calls:

75.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
189.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
27.0ms	(* 3.0 (* v v))

simplify49.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	471	805
1	1718	769
2	5002	764

prune218.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.2b	(* 3.0 (* v v))
1.0b	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

70×	`add-sqr-sqrt` `sqrt-prod`
65×	`associate-l`
60×	`times-frac`
46×	`add-cube-cbrt` `*-un-lft-identity`
44×	`add-exp-log`
35×	`add-cbrt-cube`
20×	`prod-exp`
17×	`pow1`
15×	`cbrt-unprod`
14×	`sqrt-div`
11×	`frac-times` `associate-*r/`
10×	`div-exp`
9×	`unswap-sqr`
8×	`associate-r`
7×	`flip3--` `pow-prod-down` `flip--`
6×	`cbrt-undiv`
4×	`associate-*l/` `add-log-exp`
3×	`1-exp` `*-commutative`
2×	`div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 165

Calls

4 calls:

13.0ms	(* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
6.0ms	(* 3.0 (* v v))
18.0ms	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
77.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
24.0ms	(* 3.0 (* v v))
201.0ms	(* (/ (sqrt (sqrt 2.0)) 1) (* (/ (sqrt (sqrt 2.0)) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify95.0ms

Algorithm

egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 2 (77.0ms)

Iter	Nodes	Cost
0	851	2018
1	4004	1790
2	5002	1700

prune425.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes39.0ms

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

sample708.0ms

Algorithm

intervals

Results

267.0ms	8000×	body	80	valid
265.0ms	8249×	body	80	nan