Details

sample14.0ms

Algorithm

intervals

Results

5.0ms

298×

body

valid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	8	2
1	15	2
2	19	2
3	19	2

prune2.0ms

Filtered

1 candidates to 0 candidates (100.0%)

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

localize4.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* y z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

36×	`prod-diff`
34×	`add-sqr-sqrt`
27×	`*-un-lft-identity`
23×	`add-cube-cbrt`
10×	`associate-l`
9×	`associate-r`
4×	`unswap-sqr`
3×	`fma-neg` `*-commutative` `add-log-exp`
2×	`distribute-lft-out--` `difference-of-squares`
1×	`pow1` `add-exp-log` `expm1-log1p-u` `sub-neg` `flip3--` `diff-log` `add-cbrt-cube` `flip--` `log1p-expm1-u`

Counts

1 → 57

Calls

1 calls:

8.0ms

(- x (* y z))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(- x (* y z))

simplify162.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 3 (154.0ms)

Iter	Nodes	Cost
0	286	641
1	837	392
2	4040	376
3	5001	332

prune54.0ms

Filtered

60 candidates to 24 candidates (60.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	3	60
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 0.0b

Counts

61 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt x) (cbrt x))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
8×	`add-cbrt-cube`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative`

Counts

4 → 84

Calls

4 calls:

5.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series796.0ms

Counts

4 → 12

Calls

4 calls:

218.0ms	(* (cbrt x) (cbrt x))
190.0ms	(cbrt x)
197.0ms	(cbrt x)
191.0ms	(cbrt x)

simplify122.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 3 (115.0ms)

Iter	Nodes	Cost
0	128	331
1	526	287
2	3251	261
3	5002	258

prune175.0ms

Filtered

96 candidates to 72 candidates (25.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	96	0	96
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	96	4	100

Merged error: 0.0b

Counts

100 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

91×	`add-sqr-sqrt`
84×	`*-un-lft-identity`
60×	`sqrt-prod`
36×	`add-cube-cbrt` `prod-diff`
30×	`associate-l`
22×	`distribute-lft-out--`
21×	`pow1`
19×	`associate-r`
18×	`swap-sqr`
16×	`sqrt-div`
14×	`difference-of-squares` `unswap-sqr`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `frac-times` `*-commutative` `log1p-expm1-u`
3×	`fma-neg` `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` `cbrt-unprod`

Counts

4 → 176

Calls

4 calls:

8.0ms	(- x (* y z))
9.0ms	(sqrt (- x (* y z)))
9.0ms	(sqrt (- x (* y z)))
18.0ms	(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

series210.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(- x (* y z))
64.0ms	(sqrt (- x (* y z)))
60.0ms	(sqrt (- x (* y z)))
50.0ms	(* (sqrt (- x (* y z))) (sqrt (- x (* y z))))

simplify96.0ms

Algorithm

egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	482	1379
1	1810	1062
2	5001	1039

prune219.0ms

Filtered

188 candidates to 94 candidates (50.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	188	4	192

Merged error: 0.0b

Counts

192 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (sqrt x) (sqrt (* y z)))
0.2b	(* (+ (sqrt x) (sqrt (* y z))) (- (sqrt x) (sqrt (* y z))))
8.4b	(sqrt (* y z))
8.4b	(sqrt (* y z))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

280×	`sqrt-prod`
180×	`prod-diff`
172×	`add-sqr-sqrt`
140×	`*-un-lft-identity`
122×	`add-cube-cbrt`
92×	`distribute-rgt-in` `distribute-lft-in`
54×	`associate-r`
51×	`associate-l`
19×	`unswap-sqr`
15×	`*-commutative`
12×	`pow1`
6×	`add-exp-log` `fma-def` `add-cbrt-cube` `distribute-lft-out` `add-log-exp` `difference-of-squares`
4×	`expm1-log1p-u` `frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3-+` `flip-+` `log1p-expm1-u`
3×	`flip3--` `pow-prod-down` `flip--` `distribute-lft-out--`
2×	`sub-neg` `pow1/2` `associate-r/` `associate-l/`
1×	`+-commutative` `prod-exp` `sum-log` `cbrt-unprod`

Counts

4 → 298

Calls

4 calls:

9.0ms	(+ (sqrt x) (sqrt (* y z)))
30.0ms	(* (+ (sqrt x) (sqrt (* y z))) (- (sqrt x) (sqrt (* y z))))
4.0ms	(sqrt (* y z))
5.0ms	(sqrt (* y z))

series414.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(+ (sqrt x) (sqrt (* y z)))
216.0ms	(* (+ (sqrt x) (sqrt (* y z))) (- (sqrt x) (sqrt (* y z))))
50.0ms	(sqrt (* y z))
44.0ms	(sqrt (* y z))

simplify178.0ms

Algorithm

egg-herbie

Counts

310 → 310

Iterations

Useful iterations: 1 (35.0ms)

Iter	Nodes	Cost
0	1275	6781
1	4931	5461
2	5001	5461

prune371.0ms

Filtered

310 candidates to 130 candidates (58.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	310	0	310
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	310	4	314

Merged error: 0.0b

Counts

314 → 4

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	6	2
1	6	2

end0.0ms

sample336.0ms

Algorithm

intervals

Results

160.0ms

9149×

body

valid