Details

sample34.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
9.0ms	263×	body	80	nan

simplify76.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize12.0ms

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)))))
0.2b	(* 3.0 (* v v))

rewrite130.0ms

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:

65.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
7.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
35.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))

series749.0ms

Counts

4 → 12

Calls

4 calls:

467.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
66.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
193.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
23.0ms	(* 3.0 (* v v))

simplify97.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	871	1794
1	3991	1686
2	5001	1684

prune425.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize12.0ms

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 (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))

rewrite128.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
31×	`associate-l`
28×	`add-cube-cbrt` `*-un-lft-identity`
25×	`distribute-rgt-in` `distribute-lft-in`
23×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `sqrt-div`
19×	`flip3--` `flip--`
18×	`times-frac` `prod-diff`
17×	`pow1`
16×	`sqrt-prod`
14×	`associate-*r/`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down` `associate-*l/`
6×	`sub-neg` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr`
2×	`cbrt-undiv` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 161

Calls

4 calls:

64.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
7.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
33.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
17.0ms	(* 3.0 (* v v))

series542.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
72.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
160.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
23.0ms	(* 3.0 (* v v))

simplify102.0ms

Algorithm

egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 2 (82.0ms)

Iter	Nodes	Cost
0	987	2208
1	4139	2069
2	5001	2067

prune455.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(+ (* (sqrt (- 1.0 (* 3.0 (* v v)))) 1.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (* v v))))
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

15×	`pow1`
14×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `sqrt-div`
8×	`associate-*l/`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
5×	`flip3--` `flip--`
4×	`expm1-log1p-u` `frac-add` `log1p-expm1-u`
3×	`sqrt-prod`
2×	`associate-r` `*-commutative` `distribute-rgt-neg-out` `unswap-sqr`
1×	`+-commutative` `rem-sqrt-square` `fma-def` `sqrt-pow1` `flip3-+` `pow1/2` `unsub-neg` `sum-log` `flip-+` `distribute-lft-out`

Counts

4 → 80

Calls

4 calls:

9.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
20.0ms	(+ (* (sqrt (- 1.0 (* 3.0 (* v v)))) 1.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (* v v))))
16.0ms	(* 3.0 (* v v))
16.0ms	(* 3.0 (* v v))

series340.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
222.0ms	(+ (* (sqrt (- 1.0 (* 3.0 (* v v)))) 1.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- (* v v))))
23.0ms	(* 3.0 (* v v))
23.0ms	(* 3.0 (* v v))

simplify55.0ms

Algorithm

egg-herbie

Counts

92 → 92

Iterations

Useful iterations: 2 (46.0ms)

Iter	Nodes	Cost
0	460	813
1	1798	701
2	5002	676

prune288.0ms

Pruning

1 alts after pruning (0 fresh and 1 done)

Merged error: 0b

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	16
1	30	16
2	31	16
3	31	16

end0.0ms

sample816.0ms

Algorithm

intervals

Results

295.0ms	8422×	body	80	nan
279.0ms	8000×	body	80	valid