Details

sample80.0ms

Algorithm

intervals

Results

23.0ms	43×	body	1280	valid
17.0ms	47×	body	640	valid
11.0ms	164×	body	80	valid
7.0ms	30×	body	320	valid
6.0ms	123×	body	80	nan
4.0ms	10×	body	160	valid

simplify109.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (7.0ms)

Iter	Nodes	Cost
0	15	6
1	24	6
2	51	6
3	106	6
4	304	4
5	774	4
6	4142	4
7	5001	4

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
3.6b	(pow (/ x (+ x y)) x)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
24×	`times-frac`
20×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`unpow-prod-down`
7×	`add-exp-log` `distribute-lft-out`
4×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/l*`
2×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 66

Calls

2 calls:

5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series265.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ x (+ x y))
225.0ms	(pow (/ x (+ x y)) x)

simplify38.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	309	402
1	1244	387
2	5002	386

prune138.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ x y))
0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt (+ x y))
0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)

series654.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(cbrt (+ x y))
175.0ms	(cbrt x)
180.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify44.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	139	204
1	348	190
2	1107	182
3	5002	182

prune207.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1 (+ x y))
0.2b	(* x (/ 1 (+ x y)))
7.5b	(pow (* x (/ 1 (+ x y))) x)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
29×	`add-sqr-sqrt`
26×	`add-exp-log` `times-frac`
22×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-cbrt-cube`
9×	`pow1`
8×	`prod-exp`
7×	`distribute-lft-out`
6×	`div-exp`
5×	`pow-exp`
4×	`associate-/r*` `associate-/r/`
3×	`rec-exp` `pow-unpow` `1-exp` `associate-l` `associate-/l*` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `pow-pow` `flip3-+` `pow-prod-down` `cbrt-unprod` `flip-+` `div-inv`
1×	`pow-to-exp` `unpow-prod-down` `pow-flip` `frac-2neg` `associate-r/` `clear-num` `un-div-inv` `-commutative` `inv-pow` `sqr-pow`

Counts

3 → 98

Calls

3 calls:

5.0ms	(/ 1 (+ x y))
18.0ms	(* x (/ 1 (+ x y)))
6.0ms	(pow (* x (/ 1 (+ x y))) x)

series305.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(/ 1 (+ x y))
44.0ms	(* x (/ 1 (+ x y)))
229.0ms	(pow (* x (/ 1 (+ x y))) x)

simplify45.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	338	478
1	1527	405
2	5001	365

prune161.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite4.0ms

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` `frac-2neg` `mul-1-neg` `div-exp` `clear-num` `div-inv` `associate-/l/` `add-log-exp`

Counts

1 → 28

Calls

1 calls:

3.0ms

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

series20.0ms

Counts

1 → 3

Calls

1 calls:

20.0ms

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

simplify48.0ms

Algorithm

egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 2 (11.0ms)

Iter	Nodes	Cost
0	114	186
1	303	172
2	1465	170
3	5003	170

prune56.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes59.0ms

Accuracy

84% (0.9b remaining)

Error of 1.9b against oracle of 1.0b and baseline of 6.5b

bsearch64.0ms

Steps

Iters	Range		Point
8	1.0320989087612647e-20	8.58910903859668e-18	8.457450141620207e-18
2	-8.406169814414707e+115	-7.281669141149857e+115	-7.3893711893619755e+115

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	30	20
1	30	20

end0.0ms

sample2.4s

Algorithm

intervals

Results

867.0ms	1530×	body	1280	valid
534.0ms	1495×	body	640	valid
333.0ms	4869×	body	80	valid
203.0ms	839×	body	320	valid
148.0ms	3068×	body	80	nan
71.0ms	455×	body	160	valid