Details

sample25.0ms

Algorithm

intervals

Results

11.0ms	351×	body	80	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify39.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ y z) z)

rewrite899.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

57.0ms	(+ (+ (+ y z) z) y)
602.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
221.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
17.0ms	(+ (+ y z) z)

series155.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(+ (+ (+ y z) z) y)
43.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
56.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
27.0ms	(+ (+ y z) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune189.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ y (+ z z)) y)
0.0b	(* x (+ (+ (+ y (+ z z)) y) t))
0.0b	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

rewrite878.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`distribute-lft-out`
14×	`add-log-exp`
7×	`add-sqr-sqrt` `associate-r` `sum-log`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-+l+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

56.0ms	(+ (+ y (+ z z)) y)
603.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
218.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

series129.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (+ y (+ z z)) y)
43.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
56.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	322	421
1	1439	385
2	5003	385

prune141.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))

rewrite1.5s

Algorithm

rewrite-expression-head

Rules

233×	`*-un-lft-identity`
150×	`distribute-lft-out`
93×	`cbrt-prod`
30×	`swap-sqr`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
10×	`associate-r` `associate-l`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 131

Calls

4 calls:

1.1s	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
131.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
131.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
133.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

series1.1s

Counts

4 → 12

Calls

4 calls:

305.0ms	(* (cbrt (+ (+ (+ (+ y z) z) y) t)) (cbrt (+ (+ (+ (+ y z) z) y) t)))
251.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
262.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
242.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))

simplify47.0ms

Algorithm

egg-herbie

Counts

143 → 143

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	266	1710
1	1006	1631
2	5001	1338

prune339.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.5b	(cbrt (+ (+ (+ (+ y z) z) y) t))
0.5b	(cbrt (cbrt (+ (+ (+ (+ y z) z) y) t)))

rewrite533.0ms

Algorithm

rewrite-expression-head

Rules

65×	`*-un-lft-identity`
40×	`distribute-lft-out`
38×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `flip3-+` `pow1/3` `add-cbrt-cube` `flip-+` `add-log-exp`

Counts

4 → 71

Calls

4 calls:

130.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
131.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
132.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
137.0ms	(cbrt (cbrt (+ (+ (+ (+ y z) z) y) t)))

series1.1s

Counts

4 → 12

Calls

4 calls:

250.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
254.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
255.0ms	(cbrt (+ (+ (+ (+ y z) z) y) t))
331.0ms	(cbrt (cbrt (+ (+ (+ (+ y z) z) y) t)))

simplify73.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (64.0ms)

Iter	Nodes	Cost
0	205	807
1	563	761
2	2771	726
3	5001	718

prune336.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes154.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	7
1	18	7

end0.0ms

sample646.0ms

Algorithm

intervals

Results

337.0ms	10550×	body	80	valid
14.0ms	94×	body	1280	valid
12.0ms	105×	body	640	valid
4.0ms	50×	body	320	valid
2.0ms	35×	body	160	valid