Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	242×	body	80	nan

simplify75.0ms

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

localize11.0ms

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

rewrite37.0ms

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:

3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
12.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
11.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
5.0ms	(* 3.0 (* v v))

series583.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
291.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
188.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms	(* 3.0 (* v v))

simplify96.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (79.0ms)

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

prune397.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-sqr-sqrt`
31×	`associate-l`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
17×	`sqrt-prod`
16×	`add-exp-log` `add-cbrt-cube`
15×	`pow1`
11×	`associate-r`
8×	`unswap-sqr`
6×	`prod-diff` `prod-exp` `log-pow` `cbrt-unprod` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `pow-prod-down`
4×	`expm1-log1p-u` `sqrt-div` `associate-*r/` `log1p-expm1-u`
3×	`log-prod` `flip3--` `*-commutative` `flip--`
2×	`frac-times` `sub-neg` `exp-prod` `exp-to-pow`
1×	`cbrt-undiv` `div-exp` `rem-log-exp` `associate-*l/` `div-inv` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

6.0ms	(* (log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
13.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
2.0ms	(log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
6.0ms	(* 3.0 (* v v))

series692.0ms

Counts

4 → 12

Calls

4 calls:

289.0ms	(* (log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
189.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
188.0ms	(log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
24.0ms	(* 3.0 (* v v))

simplify73.0ms

Algorithm

egg-herbie

Counts

139 → 139

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	640	1604
1	2638	1453
2	5001	1449

prune386.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
25×	`associate-l` `sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`add-exp-log` `add-cbrt-cube`
13×	`pow1`
8×	`sqrt-div`
7×	`associate-r` `unswap-sqr`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `flip--` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `associate-r/` `-commutative` `difference-of-squares`
1×	`cbrt-undiv` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 111

Calls

4 calls:

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

series339.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(sqrt (- 1.0 (* v v)))
57.0ms	(sqrt (- 1.0 (* v v)))
198.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms	(* 3.0 (* v v))

simplify53.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	551	938
1	2005	902
2	5001	894

prune365.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

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	19	12
1	19	12

end0.0ms

sample732.0ms

Algorithm

intervals

Results

284.0ms	8000×	body	80	valid
266.0ms	7917×	body	80	nan