Details

sample59.0ms

Algorithm

intervals

Results

22.0ms	55×	body	1280	valid
13.0ms	56×	body	640	valid
5.0ms	137×	body	80	valid
4.0ms	25×	body	320	valid
3.0ms	90×	body	80	nan
1.0ms	15×	body	160	valid

simplify108.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (8.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	108	6
4	310	4
5	792	4
6	4192	4
7	5002	4

prune4.0ms

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: 11.2b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
5.1b	(pow (/ x (+ x y)) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 178

Calls

3 calls:

10.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
6.0ms	(pow (/ x (+ x y)) x)

series388.0ms

Counts

3 → 9

Calls

3 calls:

129.0ms	(/ (pow (/ x (+ x y)) x) x)
39.0ms	(/ x (+ x y))
220.0ms	(pow (/ x (+ x y)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (14.0ms)

Iter	Nodes	Cost
0	554	1456
1	2726	1426
2	5002	1426

prune385.0ms

Filtered

187 candidates to 137 candidates (73.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	184	3	187
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	185	3	188

Merged error: 0.0b

Counts

188 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt (+ x y))
0.7b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.0b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
53×	`cbrt-prod`
52×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
18×	`cbrt-div`
10×	`associate-/r/`
9×	`flip3-+` `flip-+`
8×	`distribute-lft-out`
7×	`pow-exp`
6×	`pow1` `pow-unpow`
5×	`div-exp`
4×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 130

Calls

4 calls:

6.0ms	(cbrt (+ x y))
6.0ms	(cbrt (+ x y))
23.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series771.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(cbrt (+ x y))
125.0ms	(cbrt (+ x y))
254.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
266.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify65.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	746	1470
1	2331	1394
2	5001	1363

prune450.0ms

Filtered

142 candidates to 102 candidates (71.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	142	3	145

Merged error: 0.0b

Counts

145 → 3

localize4.0ms

Local error

Found 1 expressions with local error:

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

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 y)) x)

series22.0ms

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify67.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	118	194
1	313	179
2	1512	177
3	5001	177

prune76.0ms

Filtered

33 candidates to 25 candidates (75.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	32	4	36

Merged error: 0b

Counts

36 → 4

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`associate-r`
11×	`times-frac`
10×	`*-un-lft-identity`
9×	`add-cube-cbrt`
6×	`add-exp-log` `add-cbrt-cube`
4×	`prod-exp`
3×	`pow1` `associate-l` `unswap-sqr`
2×	`exp-neg` `mul-1-neg` `div-exp` `cbrt-unprod`
1×	`cbrt-undiv` `expm1-log1p-u` `frac-times` `rec-exp` `1-exp` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 40

Calls

1 calls:

8.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify110.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	213	238
1	835	202
2	4627	182
3	5001	182

prune78.0ms

Filtered

43 candidates to 29 candidates (67.4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	43	4	47

Merged error: 0b

Counts

47 → 4

regimes59.0ms

Accuracy

82.7% (1.0b remaining)

Error of 1.6b against oracle of 0.7b and baseline of 6.3b

bsearch98.0ms

Steps

Iters	Range		Point
7	3.798938191215488e-08	6.341782789262252e-06	6.231696762840839e-06
8	-3.088210918579413e+152	-1.010047755036718e+149	-1.0215350936667226e+149

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	35	21
1	35	21

end0.0ms

sample1.7s

Algorithm

intervals

Results

655.0ms	1554×	body	1280	valid
350.0ms	1435×	body	640	valid
204.0ms	4828×	body	80	valid
140.0ms	859×	body	320	valid
89.0ms	3046×	body	80	nan
42.0ms	428×	body	160	valid