Details

sample66.0ms

Algorithm

intervals

Results

26.0ms	63×	body	1280	valid
11.0ms	48×	body	640	valid
6.0ms	152×	body	80	valid
5.0ms	107×	body	80	nan
4.0ms	25×	body	320	valid
1.0ms	13×	body	160	valid

simplify120.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ x (+ x y))
6.7b	(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×	`expm1-log1p-u` `flip3-+` `div-exp` `pow-exp` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

2 → 70

Calls

2 calls:

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

series263.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(/ x (+ x y))
224.0ms	(pow (/ x (+ x y)) x)

simplify40.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	320	413
1	1304	399
2	5002	398

prune161.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
1.4b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite18.0ms

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×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `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 → 72

Calls

4 calls:

0.0ms	(cbrt x)
0.0ms	(cbrt x)
0.0ms	(cbrt x)
14.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series792.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt x)
173.0ms	(cbrt x)
176.0ms	(cbrt x)
270.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify145.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	378	644
1	1170	603
2	4673	584
3	5001	584

prune283.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b	(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` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 55

Calls

4 calls:

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

series661.0ms

Counts

4 → 12

Calls

4 calls:

127.0ms	(cbrt (+ x y))
182.0ms	(cbrt x)
177.0ms	(cbrt x)
174.0ms	(cbrt x)

simplify47.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	147	222
1	378	207
2	1203	199
3	5001	199

prune290.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune0.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes54.0ms

Accuracy

88.8% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 5.9b

bsearch64.0ms

Steps

Iters	Range		Point
7	1.7032345034745653e-05	0.0005333266348582408	0.0005238356276561065
4	-3.226264717511912e+140	-1.7940569278775236e+140	-1.8181743492396227e+140

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	27
1	33	27

end0.0ms

sample1.7s

Algorithm

intervals

Results

649.0ms	1550×	body	1280	valid
354.0ms	1465×	body	640	valid
204.0ms	4851×	body	80	valid
128.0ms	819×	body	320	valid
86.0ms	3111×	body	80	nan
44.0ms	462×	body	160	valid