Details

sample64.0ms

Algorithm

intervals

Results

15.0ms	28×	body	1280	valid
14.0ms	220×	body	80	valid
10.0ms	29×	body	640	valid
5.0ms	101×	body	80	nan
4.0ms	18×	body	320	valid
1.0ms	4×	body	160	valid

simplify121.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 6 (31.0ms)

Iter	Nodes	Cost
0	18	7
1	27	7
2	54	7
3	111	7
4	314	7
5	801	7
6	4217	6
7	5001	6

prune12.0ms

Filtered

1 candidates to 1 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: 3.3b

Counts

2 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (exp (* y (log (/ y (+ z y))))) y)
0.0b	(/ y (+ z y))
0.1b	(* y (log (/ y (+ z y))))
9.2b	(log (/ y (+ z y)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

261×	`times-frac`
221×	`*-un-lft-identity`
198×	`log-prod`
149×	`add-sqr-sqrt`
147×	`add-cube-cbrt`
144×	`exp-sum`
90×	`distribute-rgt-in` `distribute-lft-in`
42×	`associate-/l*`
37×	`distribute-lft-out`
24×	`associate-/r/`
13×	`div-inv`
12×	`add-exp-log` `flip3-+` `flip-+`
10×	`add-cbrt-cube`
8×	`pow1`
7×	`associate-/r*`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
3×	`div-exp` `associate-l`
2×	`cbrt-undiv` `frac-2neg` `rem-log-exp` `clear-num` `log-pow`
1×	`log-div` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 296

Calls

4 calls:

15.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
6.0ms	(/ y (+ z y))
9.0ms	(* y (log (/ y (+ z y))))
5.0ms	(log (/ y (+ z y)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

133.0ms	(/ (exp (* y (log (/ y (+ z y))))) y)
38.0ms	(/ y (+ z y))
79.0ms	(* y (log (/ y (+ z y))))
55.0ms	(log (/ y (+ z y)))

simplify96.0ms

Algorithm

egg-herbie

Counts

308 → 308

Iterations

Useful iterations: 2 (64.0ms)

Iter	Nodes	Cost
0	836	3073
1	2886	2638
2	5002	2622

prune579.0ms

Filtered

308 candidates to 180 candidates (58.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	306	2	308
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	308	2	310

Merged error: 0.0b

Counts

310 → 2

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ (exp 0) y))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

4×	`*-un-lft-identity`
3×	`fma-def` `add-log-exp`
2×	`add-sqr-sqrt` `add-cube-cbrt`
1×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `distribute-lft-out`

Counts

1 → 17

Calls

1 calls:

6.0ms

(+ x (/ (exp 0) y))

series14.0ms

Counts

1 → 3

Calls

1 calls:

14.0ms

(+ x (/ (exp 0) y))

simplify54.0ms

Algorithm

egg-herbie

Counts

20 → 20

Iterations

Useful iterations: 3 (20.0ms)

Iter	Nodes	Cost
0	84	82
1	272	67
2	786	65
3	1968	64
4	5001	64

prune43.0ms

Filtered

20 candidates to 17 candidates (85.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0b

Counts

22 → 3

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (exp (* -1 z)) y)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`associate-/r` `add-cbrt-cube` `associate-/l`
2×	`add-exp-log`
1×	`pow1` `cbrt-undiv` `exp-neg` `expm1-log1p-u` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `log1p-expm1-u` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 30

Calls

1 calls:

4.0ms

(/ (exp (* -1 z)) y)

series20.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/ (exp (* -1 z)) y)

simplify51.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	117	194
1	313	180
2	1514	177
3	5001	177

prune67.0ms

Filtered

33 candidates to 25 candidates (75.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	33	3	36

Merged error: 0b

Counts

36 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (- (/ 1 y)) y)
2.3b	(fma x x (/ (- (/ 1 y)) y))
30.8b	(/ (fma x x (/ (- (/ 1 y)) y)) (- x (/ 1 y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

194×	`times-frac`
135×	`add-sqr-sqrt`
123×	`*-un-lft-identity`
107×	`add-cube-cbrt`
52×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
33×	`associate-/l*`
14×	`div-inv`
12×	`difference-of-squares`
11×	`associate-/r*`
8×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
4×	`neg-mul-1`
3×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `associate-/r/`
1×	`neg-sub0` `flip3--` `div-sub` `distribute-frac-neg` `flip--` `fma-udef` `associate-/l/` `distribute-neg-frac`

Counts

3 → 201

Calls

3 calls:

9.0ms	(/ (- (/ 1 y)) y)
1.0ms	(fma x x (/ (- (/ 1 y)) y))
9.0ms	(/ (fma x x (/ (- (/ 1 y)) y)) (- x (/ 1 y)))

series132.0ms

Counts

3 → 9

Calls

3 calls:

26.0ms	(/ (- (/ 1 y)) y)
42.0ms	(fma x x (/ (- (/ 1 y)) y))
65.0ms	(/ (fma x x (/ (- (/ 1 y)) y)) (- x (/ 1 y)))

simplify63.0ms

Algorithm

egg-herbie

Counts

210 → 210

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	675	1788
1	2287	1562
2	5002	1549

prune318.0ms

Filtered

210 candidates to 122 candidates (58.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	210	0	210
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	210	3	213

Merged error: 0b

Counts

213 → 3

regimes52.0ms

Accuracy

48.9% (1.0b remaining)

Error of 1.2b against oracle of 0.2b and baseline of 2.2b

bsearch44.0ms

Steps

Iters	Range		Point
8	5.393393945294005e-61	2.7180135270378636e-57	3.1208681061789194e-58

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample1.8s

Algorithm

intervals

Results

417.0ms	801×	body	1280	valid
415.0ms	6529×	body	80	valid
308.0ms	938×	body	640	valid
145.0ms	3040×	body	80	nan
127.0ms	585×	body	320	valid
41.0ms	295×	body	160	valid