Details

sample16.0ms

Algorithm

intervals

Results

6.0ms

299×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	3
1	31	3
2	56	3
3	62	3
4	62	3

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (* y 4.0) z))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
3×	`associate-l` `distribute-lft-out--` `add-log-exp` `difference-of-squares` `unswap-sqr`
1×	`pow1` `add-exp-log` `add-cube-cbrt` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 18

Calls

1 calls:

10.0ms

(- x (* (* y 4.0) z))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(- x (* (* y 4.0) z))

simplify59.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	112	124
1	342	117
2	1586	117
3	5002	117

prune48.0ms

Filtered

21 candidates to 16 candidates (76.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0.0b

Counts

22 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (* y 4.0) z))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.0b	(sqrt (- x (* (* y 4.0) z)))
0.3b	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

98×	`*-un-lft-identity`
91×	`add-sqr-sqrt`
84×	`sqrt-prod`
51×	`associate-l`
39×	`distribute-lft-out--`
26×	`swap-sqr`
25×	`unswap-sqr`
21×	`pow1` `difference-of-squares`
16×	`sqrt-div`
14×	`add-cube-cbrt`
12×	`associate-r`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 147

Calls

4 calls:

14.0ms	(- x (* (* y 4.0) z))
11.0ms	(sqrt (- x (* (* y 4.0) z)))
11.0ms	(sqrt (- x (* (* y 4.0) z)))
30.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

series245.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(- x (* (* y 4.0) z))
74.0ms	(sqrt (- x (* (* y 4.0) z)))
75.0ms	(sqrt (- x (* (* y 4.0) z)))
55.0ms	(* (sqrt (- x (* (* y 4.0) z))) (sqrt (- x (* (* y 4.0) z))))

simplify55.0ms

Algorithm

egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	309	1130
1	1174	1043
2	5002	1020

prune467.0ms

Filtered

159 candidates to 83 candidates (52.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	159	0	159
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	159	3	162

Merged error: 0.0b

Counts

162 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (sqrt x) (sqrt (* (* y 4.0) z)))
0.1b	(* (+ (sqrt x) (sqrt (* (* y 4.0) z))) (- (sqrt x) (sqrt (* (* y 4.0) z))))
6.2b	(sqrt (* (* y 4.0) z))
6.2b	(sqrt (* (* y 4.0) z))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

88×	`add-sqr-sqrt`
82×	`sqrt-prod`
46×	`associate-l`
40×	`*-un-lft-identity`
27×	`associate-r` `unswap-sqr`
18×	`pow1`
16×	`add-cube-cbrt` `difference-of-squares`
8×	`distribute-lft-out--`
7×	`pow-prod-down`
6×	`add-exp-log` `rem-sqrt-square` `sqrt-pow1` `add-cbrt-cube` `add-log-exp`
5×	`*-commutative`
4×	`frac-times` `flip3--` `flip--` `distribute-lft-out`
3×	`sub-neg` `flip3-+` `flip-+`
2×	`distribute-rgt-in` `distribute-lft-in` `pow1/2` `associate-r/` `associate-l/`
1×	`diff-log` `prod-exp` `cbrt-unprod`

Counts

4 → 142

Calls

4 calls:

15.0ms	(- (sqrt x) (sqrt (* (* y 4.0) z)))
37.0ms	(* (+ (sqrt x) (sqrt (* (* y 4.0) z))) (- (sqrt x) (sqrt (* (* y 4.0) z))))
8.0ms	(sqrt (* (* y 4.0) z))
8.0ms	(sqrt (* (* y 4.0) z))

series725.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (sqrt x) (sqrt (* (* y 4.0) z)))
337.0ms	(* (+ (sqrt x) (sqrt (* (* y 4.0) z))) (- (sqrt x) (sqrt (* (* y 4.0) z))))
119.0ms	(sqrt (* (* y 4.0) z))
114.0ms	(sqrt (* (* y 4.0) z))

simplify66.0ms

Algorithm

egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	486	1336
1	2017	1229
2	5001	1193

prune379.0ms

Filtered

154 candidates to 104 candidates (67.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	154	3	157

Merged error: 0.0b

Counts

157 → 3

regimes101.0ms

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	9	3
1	9	3

end0.0ms

sample375.0ms

Algorithm

intervals

Results

183.0ms

9027×

body

valid