Details

sample51.0ms

Algorithm

intervals

Results

18.0ms	327×	body	80	nan
16.0ms	276×	body	80	valid

simplify22.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	21	5
1	51	4
2	86	4
3	126	4
4	151	4
5	169	4
6	185	4
7	187	4
8	187	4

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* y (sqrt z)))
0.3b	(* y (sqrt z))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
6×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
4×	`pow1` `add-exp-log` `sqrt-prod` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `unswap-sqr`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 40

Calls

2 calls:

2.0ms	(+ x (* y (sqrt z)))
5.0ms	(* y (sqrt z))

series81.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* y (sqrt z)))
47.0ms	(* y (sqrt z))

simplify127.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (123.0ms)

Iter	Nodes	Cost
0	231	204
1	879	180
2	4188	173
3	5001	170

prune120.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

41×	`sqrt-prod`
25×	`add-sqr-sqrt`
18×	`associate-r`
15×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
4×	`expm1-log1p-u` `rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 96

Calls

4 calls:

4.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
17.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series420.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(sqrt (sqrt z))
146.0ms	(sqrt (sqrt z))
86.0ms	(* y (sqrt (sqrt z)))
45.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify47.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (40.0ms)

Iter	Nodes	Cost
0	351	549
1	1510	488
2	5001	477

prune286.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.2b	(* y (sqrt (sqrt z)))
0.3b	(* (* y (sqrt (sqrt z))) (* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))))
0.5b	(* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

178×	`sqrt-prod`
90×	`add-sqr-sqrt`
76×	`sqrt-pow1`
51×	`pow1`
26×	`add-cube-cbrt` `*-un-lft-identity` `pow1/2`
24×	`swap-sqr`
22×	`associate-r`
20×	`add-exp-log` `add-cbrt-cube`
19×	`unswap-sqr`
16×	`associate-l` `pow-prod-down`
13×	`pow-prod-up`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-sqr`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 180

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
7.0ms	(* y (sqrt (sqrt z)))
50.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))))
20.0ms	(* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series422.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (sqrt z))
81.0ms	(* y (sqrt (sqrt z)))
50.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))))
142.0ms	(* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify85.0ms

Algorithm

egg-herbie

Counts

192 → 192

Iterations

Useful iterations: 2 (72.0ms)

Iter	Nodes	Cost
0	476	1063
1	2227	838
2	5001	822

prune388.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (sqrt (sqrt (sqrt z))))
0.3b	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
0.3b	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

61×	`sqrt-prod`
33×	`associate-r`
28×	`add-sqr-sqrt`
22×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
10×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 111

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
11.0ms	(* y (sqrt (sqrt (sqrt z))))
24.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
88.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(sqrt (sqrt z))
97.0ms	(* y (sqrt (sqrt (sqrt z))))
88.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
44.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify66.0ms

Algorithm

egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	487	928
1	2354	760
2	5001	688

prune299.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes277.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

488.0ms	8576×	body	80	valid
420.0ms	8672×	body	80	nan