Details

sample58.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
23.0ms	248×	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

localize11.0ms

Local error

Found 3 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 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `times-frac` `add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`frac-times`
17×	`sqrt-prod`
16×	`sqrt-div`
15×	`pow1`
14×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
3×	`*-commutative` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 113

Calls

3 calls:

31.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
21.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series536.0ms

Counts

3 → 9

Calls

3 calls:

310.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
202.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify85.0ms

Algorithm

egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 2 (71.0ms)

Iter	Nodes	Cost
0	760	1460
1	3422	1374
2	5001	1372

prune313.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 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 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* (* v v) (* v v))
0.1b	(* 3.0 (* v v))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

122×	`pow1`
40×	`add-exp-log` `add-cbrt-cube`
39×	`add-sqr-sqrt`
36×	`pow-prod-up`
27×	`pow-prod-down`
26×	`associate-l`
25×	`times-frac`
22×	`add-cube-cbrt` `*-un-lft-identity` `pow-sqr`
18×	`frac-times` `pow-plus` `prod-exp` `cbrt-unprod`
17×	`sqrt-prod` `associate-/l/`
16×	`sqrt-div`
14×	`flip3--` `flip--`
13×	`pow2`
10×	`associate-*r/`
9×	`associate-*l/`
8×	`associate-r` `unswap-sqr`
6×	`cbrt-undiv` `div-exp`
4×	`add-log-exp`
3×	`associate-/r` `-commutative`
2×	`associate-/r/` `div-inv`
1×	`frac-2neg` `flip3-+` `swap-sqr` `clear-num` `flip-+` `associate-/l*`

Counts

4 → 178

Calls

4 calls:

34.0ms	(/ (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))
21.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
12.0ms	(* (* v v) (* v v))
7.0ms	(* 3.0 (* v v))

series645.0ms

Counts

4 → 12

Calls

4 calls:

385.0ms	(/ (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- (* 1.0 1.0) (* (* v v) (* v v)))) (+ 1.0 (* v v)))
199.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
35.0ms	(* (* v v) (* v v))
25.0ms	(* 3.0 (* v v))

simplify113.0ms

Algorithm

egg-herbie

Counts

190 → 190

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	929	1708
1	4449	1488
2	5001	1486

prune435.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	16
1	22	16

end0.0ms

sample1.7s

Algorithm

intervals

Results

745.0ms	8000×	body	80	valid
720.0ms	7769×	body	80	nan