Details

sample25.0ms

Algorithm

intervals

Results

12.0ms	350×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	1280	valid
0.0ms	2×	body	320	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 0.1b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite44.0ms

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:

14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
8.0ms	(+ (+ (+ y z) z) y)
6.0ms	(+ (+ y z) z)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series150.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
30.0ms	(+ (+ (+ y z) z) y)
23.0ms	(+ (+ y z) z)
58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify47.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune191.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

43×	`*-un-lft-identity`
29×	`add-log-exp`
26×	`distribute-lft-out`
17×	`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 → 75

Calls

4 calls:

12.0ms	(+ (+ (+ y (+ z z)) y) t)
15.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
9.0ms	(+ (+ y (+ z z)) y)
15.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

series151.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(+ (+ (+ y (+ z z)) y) t)
41.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
29.0ms	(+ (+ y (+ z z)) y)
59.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	356	549
1	1544	504
2	5002	504

prune186.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
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 → 87

Calls

4 calls:

33.0ms	(* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))
13.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
14.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))

series1.2s

Counts

4 → 12

Calls

4 calls:

391.0ms	(* (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))
280.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
274.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
276.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))

simplify52.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	409	2070
1	1419	1949
2	5001	1842

prune367.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
0.6b	(cbrt (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

14.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
14.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
14.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
14.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))

series1.1s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
283.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
280.0ms	(cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0)))
282.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))))

simplify117.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	332	1248
1	991	1172
2	4666	1086
3	5002	1086

prune338.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes203.0ms

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

sample674.0ms

Algorithm

intervals

Results

363.0ms	10634×	body	80	valid
14.0ms	115×	body	640	valid
13.0ms	87×	body	1280	valid
5.0ms	58×	body	320	valid
2.0ms	38×	body	160	valid