Details

sample56.0ms

Algorithm

intervals

Results

19.0ms	42×	body	1280	valid
9.0ms	36×	body	640	valid
7.0ms	167×	body	80	valid
6.0ms	34×	body	320	valid
3.0ms	97×	body	80	nan
1.0ms	10×	body	160	valid

simplify115.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 4 (9.0ms)

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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.5b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
6.0b	(pow (/ x (+ x y)) x)

rewrite47.0ms

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:

26.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series394.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(/ (pow (/ x (+ x y)) x) x)
37.0ms	(/ x (+ x y))
225.0ms	(pow (/ x (+ x y)) x)

simplify72.0ms

Algorithm

egg-herbie

Counts

187 → 187

Iterations

Useful iterations: 1 (14.0ms)

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

prune423.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.9b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.1b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
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 → 124

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
15.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series865.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(cbrt x)
169.0ms	(cbrt x)
259.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
267.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify59.0ms

Algorithm

egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	708	1370
1	2244	1300
2	5002	1271

prune449.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

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` `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:

3.0ms

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

series18.0ms

Counts

1 → 3

Calls

1 calls:

18.0ms

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

simplify48.0ms

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

prune73.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

7.0ms	(/ 1 (* x (exp y)))
5.0ms	(* x (exp y))

series41.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ 1 (* x (exp y)))
22.0ms	(* x (exp y))

simplify96.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	179	216
1	804	181
2	4323	175
3	5002	175

prune81.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes58.0ms

Accuracy

89.8% (0.6b remaining)

Error of 1.5b against oracle of 0.9b and baseline of 6.7b

bsearch80.0ms

Steps

Iters	Range		Point
8	4.7559785702882385e-07	0.0009401996095224754	0.0009297752561077733
9	-40182.74847622026	-0.05879146692607421	-5.89791977930625

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	32	19
1	32	19

end0.0ms

sample1.8s

Algorithm

intervals

Results

679.0ms	1549×	body	1280	valid
358.0ms	1426×	body	640	valid
212.0ms	4906×	body	80	valid
133.0ms	825×	body	320	valid
95.0ms	2985×	body	80	nan
43.0ms	432×	body	160	valid