Details

sample56.0ms

Algorithm

intervals

Results

20.0ms	44×	body	1280	valid
10.0ms	40×	body	640	valid
7.0ms	174×	body	80	valid
4.0ms	25×	body	320	valid
3.0ms	89×	body	80	nan
2.0ms	18×	body	160	valid

simplify112.0ms

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

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 11.5b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
0.0b	(/ x (+ x y))
7.6b	(pow (/ x (+ x y)) x)

rewrite31.0ms

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×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

11.0ms	(/ (pow (/ x (+ x y)) x) x)
5.0ms	(/ x (+ x y))
7.0ms	(pow (/ x (+ x y)) x)

series397.0ms

Counts

3 → 9

Calls

3 calls:

136.0ms	(/ (pow (/ x (+ x y)) x) x)
38.0ms	(/ x (+ x y))
223.0ms	(pow (/ x (+ x y)) x)

simplify73.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	537	1436
1	2640	1406
2	5001	1406

prune388.0ms

Filtered

181 candidates to 131 candidates (72.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	177	5	182

Merged error: 0.3b

Counts

182 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
2.0b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite38.0ms

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)
11.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
19.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series875.0ms

Counts

4 → 12

Calls

4 calls:

173.0ms	(cbrt x)
179.0ms	(cbrt x)
255.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
268.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify58.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (45.0ms)

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

prune372.0ms

Filtered

128 candidates to 88 candidates (68.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	127	1	128
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	128	5	133

Merged error: 0.0b

Counts

133 → 5

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
1.1b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.8b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite31.0ms

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)
10.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
11.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series715.0ms

Counts

4 → 12

Calls

4 calls:

189.0ms	(cbrt x)
201.0ms	(cbrt x)
254.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
71.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify55.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (40.0ms)

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

prune511.0ms

Filtered

156 candidates to 104 candidates (66.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	155	1	156
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	157	4	161

Merged error: 0.0b

Counts

161 → 4

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* (cbrt x) (cbrt x)))
1.1b	(pow (/ (cbrt x) (cbrt (+ x y))) x)
3.8b	(log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))
3.9b	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

243×	`cbrt-prod`
148×	`times-frac`
129×	`*-un-lft-identity`
124×	`log-prod`
99×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`unpow-prod-down`
26×	`cbrt-div`
15×	`distribute-lft-out`
13×	`add-exp-log`
12×	`associate-/r/`
8×	`flip3-+` `flip-+`
7×	`pow1`
4×	`frac-times` `rem-log-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `div-exp` `div-inv`
2×	`log-div` `associate-r/` `associate-l/` `pow-exp` `log-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `sqr-pow`

Counts

4 → 218

Calls

4 calls:

4.0ms	(cbrt (* (cbrt x) (cbrt x)))
10.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
6.0ms	(log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))
11.0ms	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))

series709.0ms

Counts

4 → 12

Calls

4 calls:

262.0ms	(cbrt (* (cbrt x) (cbrt x)))
298.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
75.0ms	(log (/ (cbrt (* (cbrt x) (cbrt x))) (cbrt (* (cbrt (+ x y)) (cbrt (+ x y))))))
73.0ms	(log (/ (cbrt (cbrt x)) (cbrt (cbrt (+ x y)))))

simplify116.0ms

Algorithm

egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 2 (80.0ms)

Iter	Nodes	Cost
0	1053	3400
1	3291	3318
2	5002	3198

prune1.0s

Filtered

230 candidates to 149 candidates (64.8%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	230	4	234

Merged error: 0.0b

Counts

234 → 4

regimes63.0ms

Accuracy

99.5% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 5.7b

bsearch87.0ms

Steps

Iters	Range		Point
8	3.458388425568309	13523.20185778739	3518.8334927999977
6	-2.370921026105228e+23	-2.691452647283223e+22	-2.830648860129908e+22

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	33
1	44	33

end0.0ms

sample1.8s

Algorithm

intervals

Results

688.0ms	1515×	body	1280	valid
387.0ms	1469×	body	640	valid
216.0ms	4842×	body	80	valid
140.0ms	837×	body	320	valid
93.0ms	2978×	body	80	nan
49.0ms	477×	body	160	valid