Details

sample26.0ms

Algorithm

intervals

Results

9.0ms	331×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	160	valid

simplify38.0ms

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: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (+ y z) z)
0.3b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite1.7s

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:

418.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
114.0ms	(+ (+ (+ y z) z) y)
27.0ms	(+ (+ y z) z)
1.2s	(* x (+ (+ (+ (+ y z) z) y) t))

series147.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
28.0ms	(+ (+ (+ y z) z) y)
22.0ms	(+ (+ y z) z)
39.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

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

prune188.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* (* 2 x) (+ y z)) (* x t))
0.0b	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
0.0b	(* (* 2 x) (+ y z))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 49

Calls

3 calls:

23.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
108.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
28.0ms	(* (* 2 x) (+ y z))

series142.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
54.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
42.0ms	(* (* 2 x) (+ y z))

simplify57.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	340	386
1	1791	356
2	5002	356

prune142.0ms

Pruning

6 alts after pruning (6 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)) (* y 5.0))
0.0b	(+ (+ y (+ z z)) y)
0.3b	(* x (+ (+ (+ y (+ z z)) y) t))

rewrite2.0s

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:

424.0ms	(+ (+ (+ y (+ z z)) y) t)
377.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
99.0ms	(+ (+ y (+ z z)) y)
1.1s	(* x (+ (+ (+ y (+ z z)) y) t))

series152.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ (+ (+ y (+ z z)) y) t)
53.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))
30.0ms	(+ (+ y (+ z z)) y)
42.0ms	(* x (+ (+ (+ y (+ z z)) y) t))

simplify47.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 1 (10.0ms)

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

prune176.0ms

Pruning

6 alts after pruning (5 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)))

rewrite2.8s

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:

2.0s	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
258.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
253.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
260.0ms	(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))))
264.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
267.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
269.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune329.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes287.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b 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

sample736.0ms

Algorithm

intervals

Results

311.0ms	10755×	body	80	valid
20.0ms	108×	body	1280	valid
9.0ms	91×	body	640	valid
5.0ms	62×	body	320	valid
2.0ms	42×	body	160	valid