Details

sample53.0ms

Algorithm

intervals

Results

23.0ms	280×	body	80	nan
18.0ms	256×	body	80	valid

simplify60.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`add-exp-log` `add-cbrt-cube`
22×	`add-cube-cbrt` `*-un-lft-identity` `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`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 128

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
31.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series596.0ms

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
303.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
190.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms	(* 3.0 (* v v))

simplify89.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	809	1606
1	3621	1516
2	5001	1513

prune365.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
30×	`sqrt-div`
26×	`associate-l`
24×	`sqrt-prod`
23×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`times-frac`
18×	`frac-times`
17×	`pow1`
15×	`flip3--` `flip--`
14×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
32.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series564.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
267.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
192.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms	(* 3.0 (* v v))

simplify77.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	745	1582
1	3014	1505
2	5001	1500

prune420.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.1b	(pow (* 3.0 (* v v)) 3)
0.2b	(* (* 3.0 (* v v)) (* 3.0 (* v v)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

134×	`pow1`
75×	`pow-prod-down`
56×	`add-exp-log` `add-cbrt-cube`
36×	`prod-exp` `cbrt-unprod`
9×	`add-sqr-sqrt` `pow-sqr` `pow-prod-up`
7×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
4×	`add-log-exp`
3×	`pow-unpow` `pow-pow` `pow-plus` `associate-r` `pow-exp` `*-commutative` `rem-cube-cbrt`
2×	`unswap-sqr`
1×	`pow2` `cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `swap-sqr` `sqr-pow`

Counts

4 → 123

Calls

4 calls:

6.0ms	(* 3.0 (* v v))
9.0ms	(* 3.0 (* v v))
6.0ms	(pow (* 3.0 (* v v)) 3)
35.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))

series136.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* 3.0 (* v v))
23.0ms	(* 3.0 (* v v))
53.0ms	(pow (* 3.0 (* v v)) 3)
36.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))

simplify60.0ms

Algorithm

egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	262	365
1	1239	334
2	5002	334

prune418.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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	15
1	20	15

end0.0ms

sample1.4s

Algorithm

intervals

Results

579.0ms	7965×	body	80	nan
579.0ms	8000×	body	80	valid