Details

sample28.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
8.0ms	234×	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

localize14.0ms

Local error

Found 3 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)))))
0.1b	(* 3.0 (* v v))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
25×	`associate-l`
22×	`times-frac`
20×	`add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
7×	`associate-r` `unswap-sqr`
6×	`sqrt-div`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down`
3×	`flip3--` `flip--` `add-log-exp`
2×	`frac-times` `associate-r/` `-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp` `associate-*l/` `div-inv`

Counts

3 → 86

Calls

3 calls:

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

series297.0ms

Counts

3 → 9

Calls

3 calls:

76.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
196.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

simplify48.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	471	805
1	1718	769
2	5002	764

prune219.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity`
25×	`associate-l`
20×	`times-frac`
19×	`sqrt-prod`
18×	`exp-prod`
14×	`add-exp-log` `log-pow` `add-cbrt-cube`
13×	`pow1`
11×	`associate-r`
9×	`log-prod`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`pow-prod-down` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`*-commutative`
1×	`cbrt-undiv` `div-exp` `rem-log-exp` `associate-*l/` `div-inv` `rem-exp-log`

Counts

4 → 106

Calls

4 calls:

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

series364.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(exp (sqrt (- 1.0 (* 3.0 (* v v)))))
191.0ms	(* (/ (sqrt 2.0) 4.0) (log (exp (sqrt (- 1.0 (* 3.0 (* v v)))))))
77.0ms	(log (exp (sqrt (- 1.0 (* 3.0 (* v v))))))
24.0ms	(* 3.0 (* v v))

simplify49.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	528	1062
1	1858	931
2	5002	912

prune291.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes38.0ms

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

sample762.0ms

Algorithm

intervals

Results

288.0ms	8000×	body	80	valid
286.0ms	8183×	body	80	nan