Details

sample61.0ms

Algorithm

intervals

Results

21.0ms	40×	body	1280	valid
8.0ms	180×	body	80	valid
7.0ms	29×	body	640	valid
4.0ms	24×	body	320	valid
4.0ms	84×	body	80	overflowed
3.0ms	108×	body	80	nan
1.0ms	11×	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	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: 8.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
7.2b	(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)

series270.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(/ x (+ x y))
232.0ms	(pow (/ x (+ x y)) x)

simplify37.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (31.0ms)

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

prune150.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.3b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`unpow-prod-down`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
1.0ms	(cbrt x)
17.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series816.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt x)
186.0ms	(cbrt x)
176.0ms	(cbrt x)
275.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify141.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	367	613
1	1117	573
2	4414	551
3	5001	551

prune253.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
0.6b	(cbrt x)
0.6b	(cbrt x)
3.5b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

96×	`cbrt-prod`
85×	`*-un-lft-identity`
84×	`times-frac`
61×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down` `log-prod`
12×	`distribute-lft-out`
10×	`add-exp-log`
6×	`pow1`
4×	`cbrt-div` `associate-/r/` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow`
2×	`flip3-+` `pow1/3` `div-exp` `rem-log-exp` `pow-exp` `flip-+` `div-inv`
1×	`pow-to-exp` `log-div` `pow-pow` `log-pow` `sqr-pow`

Counts

4 → 144

Calls

4 calls:

11.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
6.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series743.0ms

Counts

4 → 12

Calls

4 calls:

273.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
207.0ms	(cbrt x)
187.0ms	(cbrt x)
77.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify57.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	599	1534
1	1875	1502
2	5002	1431

prune523.0ms

Pruning

2 alts after pruning (1 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` `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)

series19.0ms

Counts

1 → 3

Calls

1 calls:

19.0ms

(/ (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

prune57.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes38.0ms

Accuracy

0% (0.9b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	15
1	18	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

445.0ms	1051×	body	1280	valid
282.0ms	6452×	body	80	valid
228.0ms	889×	body	640	valid
126.0ms	2669×	body	80	overflowed
121.0ms	4015×	body	80	nan
99.0ms	590×	body	320	valid
47.0ms	456×	body	160	valid