Details

sample49.0ms

Algorithm

intervals

Results

18.0ms	327×	body	80	nan
15.0ms	276×	body	80	valid

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	5
1	47	5
2	71	5
3	103	5
4	124	5
5	138	5
6	148	5
7	148	5

prune2.0ms

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))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ x (* y (sqrt z)))
4.0ms	(* y (sqrt z))

series76.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(+ x (* y (sqrt z)))
41.0ms	(* y (sqrt z))

simplify121.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	219	188
1	829	168
2	3837	161
3	5002	161

prune95.0ms

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)))

rewrite28.0ms

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×	`rem-sqrt-square` `pow1/2` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`unswap-sqr`
2×	`*-commutative`

Counts

4 → 88

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
1.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
17.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series391.0ms

Counts

4 → 12

Calls

4 calls:

136.0ms	(sqrt (sqrt z))
134.0ms	(sqrt (sqrt z))
75.0ms	(* y (sqrt (sqrt z)))
45.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify46.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	336	520
1	1470	454
2	5002	427

prune226.0ms

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))))

rewrite85.0ms

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×	`add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 172

Calls

4 calls:

3.0ms	(sqrt (sqrt z))
6.0ms	(* y (sqrt (sqrt z)))
45.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))))
22.0ms	(* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

series403.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(sqrt (sqrt z))
81.0ms	(* y (sqrt (sqrt z)))
47.0ms	(* (* y (sqrt (sqrt z))) (* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z)))))
137.0ms	(* (sqrt (sqrt (sqrt z))) (sqrt (sqrt (sqrt z))))

simplify81.0ms

Algorithm

egg-herbie

Counts

184 → 184

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	458	1020
1	2192	794
2	5001	781

prune334.0ms

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)))

rewrite121.0ms

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×	`sqrt-pow1` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 103

Calls

4 calls:

1.0ms	(sqrt (sqrt z))
9.0ms	(* y (sqrt (sqrt (sqrt z))))
23.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
85.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

series355.0ms

Counts

4 → 12

Calls

4 calls:

142.0ms	(sqrt (sqrt z))
91.0ms	(* y (sqrt (sqrt (sqrt z))))
78.0ms	(* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z))))
44.0ms	(* (* (* y (sqrt (sqrt (sqrt z)))) (sqrt (sqrt (sqrt z)))) (sqrt (sqrt z)))

simplify65.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	468	874
1	2301	702
2	5001	630

prune253.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes272.0ms

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

sample1.2s

Algorithm

intervals

Results

476.0ms	8576×	body	80	valid
411.0ms	8672×	body	80	nan