Details

sample19.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
3.0ms	268×	body	80	nan

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	2
1	5	2

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b	(sqrt (+ x y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity` `sqrt-prod`
3×	`add-sqr-sqrt`
2×	`pow1` `add-cube-cbrt` `sqrt-div`
1×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `add-cbrt-cube` `flip-+` `distribute-lft-out` `add-log-exp`

Counts

1 → 16

Calls

1 calls:

4.0ms

(sqrt (+ x y))

series36.0ms

Counts

1 → 3

Calls

1 calls:

36.0ms

(sqrt (+ x y))

simplify66.0ms

Algorithm

egg-herbie

Counts

19 → 19

Iterations

Useful iterations: 3 (22.0ms)

Iter	Nodes	Cost
0	113	89
1	275	81
2	836	78
3	2361	73
4	5002	73

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (+ x y))
0.1b	(sqrt (sqrt (+ x y)))
0.1b	(sqrt (sqrt (+ x y)))
0.5b	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

110×	`sqrt-prod`
56×	`add-sqr-sqrt`
41×	`*-un-lft-identity` `sqrt-pow1`
34×	`sqrt-div`
32×	`pow1`
21×	`add-cube-cbrt` `pow1/2`
18×	`swap-sqr`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow-prod-up` `flip-+` `distribute-lft-out` `unswap-sqr`
6×	`add-exp-log` `add-cbrt-cube`
5×	`rem-sqrt-square` `pow-prod-down` `pow-sqr`
4×	`frac-times` `add-log-exp`
2×	`associate-r/` `associate-l/`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 148

Calls

4 calls:

6.0ms	(sqrt (+ x y))
5.0ms	(sqrt (sqrt (+ x y)))
5.0ms	(sqrt (sqrt (+ x y)))
27.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

series488.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(sqrt (+ x y))
214.0ms	(sqrt (sqrt (+ x y)))
200.0ms	(sqrt (sqrt (+ x y)))
36.0ms	(* (sqrt (sqrt (+ x y))) (sqrt (sqrt (+ x y))))

simplify50.0ms

Algorithm

egg-herbie

Counts

160 → 160

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	329	840
1	1374	762
2	5002	748

prune259.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
35×	`*-un-lft-identity`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `swap-sqr` `flip-+` `distribute-lft-out`
7×	`associate-r` `associate-l`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

20.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))
2.0ms	(cbrt (+ x y))

series569.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(* (cbrt (+ x y)) (cbrt (+ x y)))
134.0ms	(cbrt (+ x y))
135.0ms	(cbrt (+ x y))
133.0ms	(cbrt (+ x y))

simplify137.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (129.0ms)

Iter	Nodes	Cost
0	246	671
1	881	634
2	4190	584
3	5001	580

prune358.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt (sqrt (+ x y))))
0.1b	(sqrt (sqrt (sqrt (+ x y))))
0.5b	(* (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (sqrt (sqrt (+ x y))))
0.5b	(* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))))

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

245×	`sqrt-prod`
234×	`sqrt-pow1`
192×	`sqrt-div`
106×	`pow1`
97×	`add-sqr-sqrt`
84×	`pow1/2`
67×	`pow-prod-up`
49×	`*-un-lft-identity`
35×	`flip3-+` `flip-+`
32×	`frac-times`
30×	`swap-sqr`
29×	`add-cube-cbrt`
23×	`associate-r`
19×	`pow-sqr` `unswap-sqr`
18×	`pow-prod-down`
16×	`associate-*l/`
14×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
10×	`associate-*r/`
9×	`distribute-lft-out`
7×	`pow-plus`
6×	`rem-sqrt-square`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`sqrt-unprod`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt`

Counts

4 → 272

Calls

4 calls:

6.0ms	(sqrt (sqrt (sqrt (+ x y))))
6.0ms	(sqrt (sqrt (sqrt (+ x y))))
84.0ms	(* (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (sqrt (sqrt (+ x y))))
39.0ms	(* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))))

series511.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(sqrt (sqrt (sqrt (+ x y))))
139.0ms	(sqrt (sqrt (sqrt (+ x y))))
36.0ms	(* (* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y))))) (sqrt (sqrt (+ x y))))
205.0ms	(* (sqrt (sqrt (sqrt (+ x y)))) (sqrt (sqrt (sqrt (+ x y)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

284 → 284

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	727	2011
1	2892	1735
2	5001	1713

prune439.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes80.0ms

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	5	2
1	5	2

end0.0ms

sample452.0ms

Algorithm

intervals

Results

112.0ms	8000×	body	80	valid
106.0ms	7942×	body	80	nan