Details

sample52.0ms

Algorithm

intervals

Results

16.0ms	39×	body	1280	valid
10.0ms	43×	body	640	valid
7.0ms	172×	body	80	valid
3.0ms	22×	body	320	valid
2.0ms	71×	body	80	nan
2.0ms	17×	body	160	valid

simplify110.0ms

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: 11.6b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
6.9b	(pow (/ x (+ x y)) x)

rewrite25.0ms

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:

10.0ms	(/ x (+ x y))
13.0ms	(pow (/ x (+ x y)) x)

series270.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(/ x (+ x y))
232.0ms	(pow (/ x (+ x y)) x)

simplify42.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 2 (32.0ms)

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

prune137.0ms

Pruning

4 alts after pruning (4 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)
0.8b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
1.8b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite55.0ms

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×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
18.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
27.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series897.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt x)
175.0ms	(cbrt x)
268.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
278.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify57.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	691	1334
1	2164	1266
2	5001	1235

prune389.0ms

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)
0.6b	(cbrt x)
0.8b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite38.0ms

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:

1.0ms	(cbrt x)
1.0ms	(cbrt x)
21.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
9.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series892.0ms

Counts

4 → 12

Calls

4 calls:

174.0ms	(cbrt x)
370.0ms	(cbrt x)
270.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
76.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (41.0ms)

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

prune503.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.8b	(pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x)
0.8b	(pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x)
3.6b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

138×	`cbrt-prod`
126×	`*-un-lft-identity` `times-frac`
102×	`unpow-prod-down`
96×	`sqrt-prod`
90×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`log-prod`
18×	`distribute-lft-out`
9×	`pow1` `add-exp-log`
6×	`pow-unpow` `cbrt-div` `pow-pow` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`flip3-+` `flip-+` `div-inv`
2×	`pow-to-exp` `sqrt-pow1` `pow1/2` `rem-log-exp` `pow-exp` `sqrt-pow2` `sqr-pow`
1×	`log-div` `pow1/3` `div-exp` `log-pow`

Counts

4 → 206

Calls

4 calls:

1.0ms	(cbrt x)
21.0ms	(pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x)
24.0ms	(pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x)
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series788.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
265.0ms	(pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x)
258.0ms	(pow (sqrt (/ (cbrt x) (cbrt (+ x y)))) x)
73.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify65.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	672	2563
1	2001	2488
2	5002	2375

prune779.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes54.0ms

Accuracy

89.9% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 5.4b

bsearch113.0ms

Steps

Iters	Range		Point
10	3.01453247982213e-27	3.2716599026957865e-16	3.231969950629079e-16
9	-5.519096697972622e+107	-1.6617757044371328e+100	-1.533037271626305e+101

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample1.7s

Algorithm

intervals

Results

609.0ms	1486×	body	1280	valid
350.0ms	1497×	body	640	valid
204.0ms	4951×	body	80	valid
121.0ms	818×	body	320	valid
85.0ms	3017×	body	80	nan
38.0ms	407×	body	160	valid