Details

sample30.0ms

Algorithm

intervals

Results

7.0ms	269×	body	80	valid
6.0ms	272×	body	80	nan

simplify18.0ms

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

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

6.0ms	(+ x (* y (sqrt z)))
12.0ms	(* y (sqrt z))

series68.0ms

Counts

2 → 6

Calls

2 calls:

30.0ms	(+ x (* y (sqrt z)))
38.0ms	(* y (sqrt z))

simplify123.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 3 (119.0ms)

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

prune110.0ms

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

rewrite53.0ms

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))
2.0ms	(sqrt (sqrt z))
12.0ms	(* y (sqrt (sqrt z)))
32.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series373.0ms

Counts

4 → 12

Calls

4 calls:

128.0ms	(sqrt (sqrt z))
130.0ms	(sqrt (sqrt z))
76.0ms	(* y (sqrt (sqrt z)))
38.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	351	553
1	1510	488
2	5001	461

prune264.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
0.1b	(sqrt (sqrt z))
0.3b	(* y (pow z 1/4))
0.3b	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`add-exp-log` `sqrt-prod`
16×	`associate-r`
13×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-cbrt-cube`
10×	`prod-exp`
8×	`pow1`
6×	`add-log-exp`
4×	`expm1-log1p-u` `unpow-prod-down` `sqrt-pow1` `associate-l` `cbrt-unprod` `log1p-expm1-u`
3×	`fma-def` `unswap-sqr`
2×	`pow-to-exp` `rem-sqrt-square` `pow1/2` `pow-exp` `*-commutative` `sqr-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `sum-log` `flip-+`

Counts

4 → 91

Calls

4 calls:

6.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
2.0ms	(sqrt (sqrt z))
11.0ms	(* y (pow z 1/4))
28.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

series316.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ x (* (* y (pow z 1/4)) (sqrt (sqrt z))))
127.0ms	(sqrt (sqrt z))
58.0ms	(* y (pow z 1/4))
76.0ms	(* (* y (pow z 1/4)) (sqrt (sqrt z)))

simplify61.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	498	609
1	2234	546
2	5002	539

prune293.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (pow z 1/8))
0.3b	(* (* y (pow z 1/8)) (pow z (/ 1/4 2)))
0.3b	(* (* (* y (pow z 1/8)) (pow z (/ 1/4 2))) (sqrt (sqrt z)))

rewrite118.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
23×	`associate-r`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
19×	`sqrt-prod`
15×	`pow-to-exp` `pow-exp`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`cbrt-unprod`
8×	`pow1`
7×	`unpow-prod-down`
5×	`associate-l`
4×	`expm1-log1p-u` `sqrt-pow1` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative` `unswap-sqr` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2`
1×	`pow-prod-down`

Counts

4 → 117

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
11.0ms	(* y (pow z 1/8))
26.0ms	(* (* y (pow z 1/8)) (pow z (/ 1/4 2)))
75.0ms	(* (* (* y (pow z 1/8)) (pow z (/ 1/4 2))) (sqrt (sqrt z)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

130.0ms	(sqrt (sqrt z))
54.0ms	(* y (pow z 1/8))
61.0ms	(* (* y (pow z 1/8)) (pow z (/ 1/4 2)))
78.0ms	(* (* (* y (pow z 1/8)) (pow z (/ 1/4 2))) (sqrt (sqrt z)))

simplify71.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (62.0ms)

Iter	Nodes	Cost
0	560	787
1	2719	632
2	5002	622

prune307.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	5
1	13	5

end0.0ms

sample843.0ms

Algorithm

intervals

Results

211.0ms	8499×	body	80	valid
199.0ms	8353×	body	80	nan