Details

sample33.0ms

Algorithm

intervals

Results

7.0ms	270×	body	80	valid
7.0ms	274×	body	80	nan

simplify16.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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: 0.2b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

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:

5.0ms	(+ x (* y (sqrt z)))
10.0ms	(* y (sqrt z))

series79.0ms

Counts

2 → 6

Calls

2 calls:

34.0ms	(+ x (* y (sqrt z)))
45.0ms	(* y (sqrt z))

simplify117.0ms

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

prune91.0ms

Pruning

8 alts after pruning (7 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)))

rewrite57.0ms

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:

2.0ms	(sqrt (sqrt z))
2.0ms	(sqrt (sqrt z))
13.0ms	(* y (sqrt (sqrt z)))
37.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series395.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt z))
137.0ms	(sqrt (sqrt z))
81.0ms	(* y (sqrt (sqrt z)))
43.0ms	(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify45.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	336	516
1	1470	454
2	5002	427

prune221.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log`
38×	`add-sqr-sqrt`
29×	`unpow-prod-down`
27×	`*-un-lft-identity`
26×	`add-cube-cbrt` `associate-r`
20×	`times-frac`
19×	`prod-exp` `sqrt-prod`
12×	`pow-exp`
11×	`add-cbrt-cube`
10×	`pow1`
6×	`div-exp`
5×	`unswap-sqr`
4×	`sqrt-pow1` `associate-l` `cbrt-unprod` `add-log-exp`
3×	`pow-to-exp` `rec-exp` `pow-unpow` `pow-pow` `1-exp` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `div-inv`
1×	`pow-flip` `pow-prod-down` `inv-pow`

Counts

4 → 119

Calls

4 calls:

7.0ms	(pow (/ 1 z) -1/4)
2.0ms	(sqrt (sqrt z))
24.0ms	(* y (pow (/ 1 z) -1/4))
41.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

series455.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(pow (/ 1 z) -1/4)
130.0ms	(sqrt (sqrt z))
66.0ms	(* y (pow (/ 1 z) -1/4))
82.0ms	(* (* y (pow (/ 1 z) -1/4)) (sqrt (sqrt z)))

simplify67.0ms

Algorithm

egg-herbie

Counts

131 → 131

Iterations

Useful iterations: 2 (59.0ms)

Iter	Nodes	Cost
0	573	752
1	2574	668
2	5003	665

prune318.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (sqrt z))
0.3b	(* y (pow (sqrt (/ 1 z)) -1/4))
0.3b	(* (* (* y (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4)) (sqrt (sqrt z)))
0.4b	(* (* y (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4))

rewrite269.0ms

Algorithm

rewrite-expression-head

Rules

75×	`add-exp-log`
58×	`prod-exp`
49×	`associate-r`
48×	`sqrt-prod`
42×	`add-sqr-sqrt`
36×	`unpow-prod-down`
29×	`*-un-lft-identity`
28×	`add-cube-cbrt`
20×	`times-frac` `add-cbrt-cube`
15×	`pow-to-exp` `pow-exp`
10×	`cbrt-unprod`
8×	`pow1`
6×	`unswap-sqr`
5×	`associate-l`
4×	`sqrt-pow1` `add-log-exp`
3×	`*-commutative` `sqr-pow`
2×	`rem-sqrt-square` `pow1/2` `div-inv`
1×	`pow-prod-down`

Counts

4 → 138

Calls

4 calls:

2.0ms	(sqrt (sqrt z))
32.0ms	(* y (pow (sqrt (/ 1 z)) -1/4))
169.0ms	(* (* (* y (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4)) (sqrt (sqrt z)))
59.0ms	(* (* y (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4))

series376.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(sqrt (sqrt z))
92.0ms	(* y (pow (sqrt (/ 1 z)) -1/4))
74.0ms	(* (* (* y (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4)) (sqrt (sqrt z)))
76.0ms	(* (* y (pow (sqrt (/ 1 z)) -1/4)) (pow (sqrt (/ 1 z)) -1/4))

simplify84.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 1 (18.0ms)

Iter	Nodes	Cost
0	629	1291
1	3048	981
2	5002	981

prune397.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes424.0ms

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

sample897.0ms

Algorithm

intervals

Results

224.0ms	8497×	body	80	valid
208.0ms	8475×	body	80	nan