Details

sample64.0ms

Algorithm

intervals

Results

22.0ms	47×	body	1280	valid
16.0ms	53×	body	640	valid
7.0ms	157×	body	80	valid
3.0ms	85×	body	80	nan
3.0ms	17×	body	320	valid
2.0ms	12×	body	160	valid

simplify116.0ms

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: 9.7b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (pow (/ x (+ x y)) x) x)
6.5b	(pow (/ x (+ x y)) x)

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
100×	`*-un-lft-identity`
90×	`unpow-prod-down`
70×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/l*`
15×	`distribute-lft-out`
13×	`add-exp-log`
10×	`associate-/r/`
6×	`div-exp` `div-inv`
5×	`flip3-+` `flip-+` `sqr-pow`
4×	`pow-exp` `add-cbrt-cube`
3×	`pow1` `pow-unpow` `associate-/r*`
2×	`pow-to-exp` `add-log-exp`
1×	`cbrt-undiv` `pow-pow` `frac-2neg` `clear-num`

Counts

2 → 139

Calls

2 calls:

12.0ms	(/ (pow (/ x (+ x y)) x) x)
7.0ms	(pow (/ x (+ x y)) x)

series392.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(/ (pow (/ x (+ x y)) x) x)
245.0ms	(pow (/ x (+ x y)) x)

simplify68.0ms

Algorithm

egg-herbie

Counts

145 → 145

Iterations

Useful iterations: 1 (15.0ms)

Iter	Nodes	Cost
0	497	1283
1	2289	1262
2	5002	1262

prune351.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.8b

localize17.0ms

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)
2.4b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite37.0ms

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)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
16.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series949.0ms

Counts

4 → 12

Calls

4 calls:

182.0ms	(cbrt x)
190.0ms	(cbrt x)
282.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
295.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

simplify66.0ms

Algorithm

egg-herbie

Counts

128 → 128

Iterations

Useful iterations: 2 (47.0ms)

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

prune419.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)
3.7b	(log (/ (cbrt x) (cbrt (+ x y))))

rewrite30.0ms

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)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
8.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

series728.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
181.0ms	(cbrt x)
279.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
76.0ms	(log (/ (cbrt x) (cbrt (+ x y))))

simplify54.0ms

Algorithm

egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 2 (40.0ms)

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

prune539.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

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)
2.4b	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

rewrite36.0ms

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)
12.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
16.0ms	(pow (/ (* (cbrt x) (cbrt x)) (* (cbrt (+ x y)) (cbrt (+ x y)))) x)

series954.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt x)
185.0ms	(cbrt x)
280.0ms	(pow (/ (cbrt x) (cbrt (+ x y))) x)
296.0ms	(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	1237

prune407.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes53.0ms

Accuracy

89.4% (0.6b remaining)

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

bsearch111.0ms

Steps

Iters	Range		Point
9	2.2414413436101348e-30	2.5947478503916157e-23	2.5643233024290284e-23
7	-5.356651369818307e+88	-2.3687169017960367e+86	-2.930752839587006e+86

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	18
1	33	18

end0.0ms

sample1.8s

Algorithm

intervals

Results

689.0ms	1528×	body	1280	valid
384.0ms	1433×	body	640	valid
231.0ms	4834×	body	80	valid
144.0ms	813×	body	320	valid
101.0ms	3038×	body	80	nan
54.0ms	500×	body	160	valid