Details

sample27.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
8.0ms	234×	body	80	nan

simplify72.0ms

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

prune3.0ms

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 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))

rewrite66.0ms

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:

30.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
21.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series630.0ms

Counts

4 → 12

Calls

4 calls:

316.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
80.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
207.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
26.0ms	(* 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

prune411.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (expm1 (log1p (* (/ (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))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 125

Calls

4 calls:

8.0ms	(* (expm1 (log1p (* (/ (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))))
17.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

768.0ms	(* (expm1 (log1p (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
75.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
211.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify85.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 2 (70.0ms)

Iter	Nodes	Cost
0	820	1642
1	3483	1508
2	5001	1502

prune415.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.1b	(* 3.0 (* v v))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 93

Calls

4 calls:

0.0ms	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
11.0ms	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
6.0ms	(* 3.0 (* v v))

series759.0ms

Counts

4 → 12

Calls

4 calls:

279.0ms	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
80.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
369.0ms	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
30.0ms	(* 3.0 (* v v))

simplify63.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	595	952
1	2257	847
2	5001	832

prune368.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

76×	`sqrt-prod`
72×	`sqrt-div`
68×	`add-sqr-sqrt`
42×	`pow1`
37×	`associate-l`
32×	`sqrt-pow1`
31×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
20×	`frac-times` `times-frac`
18×	`flip3--` `flip--`
16×	`pow1/2`
15×	`swap-sqr`
14×	`associate-*r/` `pow-prod-down` `unswap-sqr`
13×	`prod-exp` `cbrt-unprod`
12×	`associate-r`
9×	`pow-prod-up`
7×	`associate-*l/`
5×	`pow-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt` `div-inv`

Counts

4 → 190

Calls

4 calls:

23.0ms	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
44.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))
6.0ms	(* 3.0 (* v v))
6.0ms	(* 3.0 (* v v))

series345.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
210.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))
28.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))

simplify85.0ms

Algorithm

egg-herbie

Counts

202 → 202

Iterations

Useful iterations: 2 (65.0ms)

Iter	Nodes	Cost
0	692	1935
1	2779	1721
2	5002	1698

prune467.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

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	21	14
1	21	14

end0.0ms

sample701.0ms

Algorithm

intervals

Results

269.0ms	8044×	body	80	nan
261.0ms	8000×	body	80	valid