Details

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
9.0ms	247×	body	80	nan

simplify74.0ms

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

Filtered

1 candidates to 0 candidates (0.0%)

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	(- 1.0 (* 3.0 (* 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))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
25×	`associate-l`
23×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
20×	`sqrt-prod`
14×	`add-exp-log` `add-cbrt-cube`
12×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `flip3--` `pow-prod-down` `flip--` `log1p-expm1-u`
3×	`fma-neg` `prod-diff`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `sub-neg` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `diff-log` `div-exp` `associate-*l/` `div-inv`

Counts

4 → 112

Calls

4 calls:

3.0ms	(- 1.0 (* 3.0 (* v v)))
3.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms	(* 3.0 (* v v))

series380.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(- 1.0 (* 3.0 (* v v)))
83.0ms	(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))

simplify54.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	521	966
1	1911	911
2	5002	905

prune310.0ms

Filtered

124 candidates to 89 candidates (71.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (log1p (expm1 (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.0b	(log1p (expm1 (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b	(* 3.0 (* v v))
1.0b	(expm1 (sqrt (- 1.0 (* 3.0 (* v v)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`associate-l`
20×	`times-frac`
19×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`sqrt-prod`
5×	`prod-exp` `cbrt-unprod` `log1p-expm1-u`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `add-log-exp` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `log1p-expm1` `div-exp` `associate-*l/` `div-inv` `expm1-udef`

Counts

4 → 87

Calls

4 calls:

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

series634.0ms

Counts

4 → 12

Calls

4 calls:

299.0ms	(* (/ (sqrt 2.0) 4.0) (log1p (expm1 (sqrt (- 1.0 (* 3.0 (* v v)))))))
209.0ms	(log1p (expm1 (sqrt (- 1.0 (* 3.0 (* v v))))))
30.0ms	(* 3.0 (* v v))
96.0ms	(expm1 (sqrt (- 1.0 (* 3.0 (* v v)))))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	406	807
1	1459	711
2	5002	707

prune267.0ms

Filtered

99 candidates to 71 candidates (71.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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

sample750.0ms

Algorithm

intervals

Results

285.0ms	8000×	body	80	valid
280.0ms	7925×	body	80	nan