Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	301×	body	80	valid
9.0ms	323×	body	80	nan

simplify69.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	5
1	57	5
2	121	5
3	241	5
4	364	5
5	490	5
6	641	5
7	1023	5
8	1797	5
9	2155	5
10	2161	5
11	2161	5

prune9.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
0.0b	(+ (- 1.0 z) (log z))
0.1b	(* y (+ (- 1.0 z) (log z)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

45×	`*-un-lft-identity`
33×	`associate-+l+`
31×	`add-sqr-sqrt`
27×	`add-cube-cbrt` `prod-diff`
16×	`distribute-rgt-in` `distribute-lft-in`
11×	`add-log-exp`
9×	`pow1` `associate-+r+` `log-prod`
8×	`distribute-lft-out`
7×	`associate-r`
5×	`add-exp-log` `fma-def` `add-cbrt-cube` `distribute-lft-out--`
4×	`sum-log` `log-pow`
3×	`+-commutative` `expm1-log1p-u` `sub-neg` `associate-l` `log1p-expm1-u`
2×	`flip3-+` `diff-log` `associate-*r/` `flip-+`
1×	`associate-+l-` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `difference-of-squares` `unswap-sqr`

Counts

3 → 108

Calls

3 calls:

1.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
8.0ms	(+ (- 1.0 z) (log z))
12.0ms	(* y (+ (- 1.0 z) (log z)))

series304.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(fma x 0.5 (* y (+ (- 1.0 z) (log z))))
167.0ms	(+ (- 1.0 z) (log z))
78.0ms	(* y (+ (- 1.0 z) (log z)))

simplify53.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	435	825
1	1847	609
2	5003	600

prune244.0ms

Filtered

117 candidates to 67 candidates (57.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	112	5	117
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	112	6	118

Merged error: 0b

Counts

118 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (- 1.0 z) (log (sqrt z)))
0.1b	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
0.1b	(* y (+ (- 1.0 z) (log (sqrt z))))
0.2b	(* y (log (sqrt z)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

117×	`*-un-lft-identity`
93×	`associate-+l+`
70×	`add-sqr-sqrt`
62×	`add-cube-cbrt`
54×	`log-prod`
50×	`distribute-rgt-in` `distribute-lft-in`
45×	`prod-diff`
42×	`associate-+r+`
40×	`associate-r`
37×	`distribute-lft-out`
27×	`sqrt-prod`
25×	`pow1`
21×	`fma-def`
18×	`log-pow`
17×	`associate-l`
14×	`add-log-exp`
11×	`distribute-lft-out--`
8×	`add-exp-log` `add-cbrt-cube`
6×	`+-commutative`
5×	`sub-neg` `sum-log` `*-commutative`
4×	`expm1-log1p-u` `log1p-expm1-u`
3×	`flip3-+` `flip-+` `unswap-sqr`
2×	`diff-log` `associate-*r/` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`associate-+l-` `distribute-rgt-out` `sqrt-pow1` `pow1/2` `difference-of-squares`

Counts

4 → 239

Calls

4 calls:

10.0ms	(+ (- 1.0 z) (log (sqrt z)))
32.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
17.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
6.0ms	(* y (log (sqrt z)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(+ (- 1.0 z) (log (sqrt z)))
122.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt z)))) (* y (log (sqrt z))))
91.0ms	(* y (+ (- 1.0 z) (log (sqrt z))))
91.0ms	(* y (log (sqrt z)))

simplify97.0ms

Algorithm

egg-herbie

Counts

251 → 251

Iterations

Useful iterations: 2 (73.0ms)

Iter	Nodes	Cost
0	739	1954
1	3057	1554
2	5001	1481

prune695.0ms

Filtered

251 candidates to 162 candidates (64.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	248	3	251
Fresh	3	1	4
Picked	1	0	1
Done	0	1	1
Total	252	5	257

Merged error: 0b

Counts

257 → 5

localize19.0ms

Local error

Found 4 expressions with local error:

0.1b	(+ (+ (* y (+ (- 1.0 z) (log (sqrt (sqrt z))))) (* y (log (sqrt (sqrt z))))) (* y (log (sqrt z))))
0.1b	(+ (* y (+ (- 1.0 z) (log (sqrt (sqrt z))))) (* y (log (sqrt (sqrt z)))))
0.2b	(* y (log (sqrt (sqrt z))))
0.2b	(* y (log (sqrt z)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

228×	`*-un-lft-identity`
196×	`associate-+l+`
135×	`distribute-lft-out`
121×	`associate-r`
114×	`log-prod`
102×	`sqrt-prod`
87×	`add-sqr-sqrt`
84×	`associate-+r+`
83×	`distribute-rgt-in` `distribute-lft-in`
81×	`add-cube-cbrt`
61×	`pow1`
56×	`log-pow`
44×	`associate-l`
37×	`fma-def`
36×	`prod-diff`
18×	`distribute-lft-out--`
11×	`add-log-exp`
9×	`*-commutative`
8×	`add-exp-log` `add-cbrt-cube`
7×	`+-commutative`
5×	`sqrt-pow1`
4×	`expm1-log1p-u` `sub-neg` `sum-log` `log1p-expm1-u`
3×	`distribute-rgt-out` `pow1/2` `unswap-sqr`
2×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`

Counts

4 → 332

Calls

4 calls:

66.0ms	(+ (+ (* y (+ (- 1.0 z) (log (sqrt (sqrt z))))) (* y (log (sqrt (sqrt z))))) (* y (log (sqrt z))))
37.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt (sqrt z))))) (* y (log (sqrt (sqrt z)))))
12.0ms	(* y (log (sqrt (sqrt z))))
6.0ms	(* y (log (sqrt z)))

series795.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(+ (+ (* y (+ (- 1.0 z) (log (sqrt (sqrt z))))) (* y (log (sqrt (sqrt z))))) (* y (log (sqrt z))))
167.0ms	(+ (* y (+ (- 1.0 z) (log (sqrt (sqrt z))))) (* y (log (sqrt (sqrt z)))))
338.0ms	(* y (log (sqrt (sqrt z))))
95.0ms	(* y (log (sqrt z)))

simplify133.0ms

Algorithm

egg-herbie

Counts

344 → 344

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	964	3452
1	4102	2862
2	5001	2774

prune1.2s

Filtered

344 candidates to 223 candidates (64.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	343	1	344
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	344	5	349

Merged error: 0b

Counts

349 → 5

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
0.5b	(cbrt (* y (+ (- 1.0 z) (log z))))
0.5b	(cbrt (* y (+ (- 1.0 z) (log z))))
0.5b	(cbrt (* y (+ (- 1.0 z) (log z))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

168×	`cbrt-prod`
161×	`*-un-lft-identity`
108×	`associate-r`
67×	`add-sqr-sqrt`
60×	`distribute-lft-out`
42×	`associate-l`
41×	`pow1` `swap-sqr`
30×	`log-pow` `distribute-lft-out--`
29×	`add-cube-cbrt`
22×	`unswap-sqr`
20×	`associate-*r/`
18×	`cbrt-div`
9×	`flip3-+` `pow1/3` `flip-+`
8×	`*-commutative` `add-cbrt-cube`
6×	`add-exp-log`
4×	`expm1-log1p-u` `frac-times` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`pow-prod-down` `associate-*l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp`

Counts

4 → 203

Calls

4 calls:

29.0ms	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
10.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
10.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
13.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

series561.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(* (cbrt (* y (+ (- 1.0 z) (log z)))) (cbrt (* y (+ (- 1.0 z) (log z)))))
134.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
128.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))
130.0ms	(cbrt (* y (+ (- 1.0 z) (log z))))

simplify124.0ms

Algorithm

egg-herbie

Counts

215 → 215

Iterations

Useful iterations: 2 (85.0ms)

Iter	Nodes	Cost
0	908	3531
1	4024	3389
2	5001	3341

prune668.0ms

Filtered

215 candidates to 138 candidates (64.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	215	0	215
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	215	5	220

Merged error: 0b

Counts

220 → 5

regimes147.0ms

Accuracy

0% (0.0b 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	12	5
1	12	5

end0.0ms

sample1.0s

Algorithm

intervals

Results

353.0ms	9179×	body	80	valid
265.0ms	9292×	body	80	nan