Details

sample29.0ms

Algorithm

intervals

Results

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

simplify60.0ms

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

prune3.0ms

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))

rewrite36.0ms

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:

12.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
2.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series594.0ms

Counts

4 → 12

Calls

4 calls:

295.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
76.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
199.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms	(* 3.0 (* v v))

simplify97.0ms

Algorithm

egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 2 (76.0ms)

Iter	Nodes	Cost
0	809	1605
1	3621	1516
2	5001	1513

prune351.0ms

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×	`frac-times` `*-commutative` `add-log-exp`
2×	`associate-r/` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus`

Counts

4 → 121

Calls

4 calls:

10.0ms	(* (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))

series312.0ms

Counts

4 → 12

Calls

4 calls:

237.0ms	(* (cbrt (sqrt (- 1.0 (* 3.0 (* v v))))) (cbrt (sqrt (- 1.0 (* 3.0 (* v v))))))
24.0ms	(* 3.0 (* v v))
28.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))

simplify51.0ms

Algorithm

egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	377	1349
1	1394	1269
2	5001	1175

prune344.0ms

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

sample727.0ms

Algorithm

intervals

Results

281.0ms	8000×	body	80	valid
266.0ms	8031×	body	80	nan