Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	328×	body	80	valid
1.0ms	6×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify37.0ms

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: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite939.0ms

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:

61.0ms	(+ (+ (+ y z) z) y)
13.0ms	(+ (+ y z) z)
632.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
231.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

series157.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(+ (+ (+ y z) z) y)
24.0ms	(+ (+ y z) z)
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune184.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

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:

9.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
11.0ms	(* (* 2 x) (+ y z))
45.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

series147.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(+ (* (* 2 x) (+ y z)) (* x t))
40.0ms	(* (* 2 x) (+ y z))
61.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))

simplify55.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

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

prune139.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
0.5b	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))

rewrite308.0ms

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:

27.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
29.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
27.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
223.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))

series1.3s

Counts

4 → 12

Calls

4 calls:

295.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
291.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
285.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
407.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	405	2070
1	1401	1949
2	5001	1834

prune363.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
0.5b	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
5.8b	(- (* (+ (* (* 2 x) (+ y z)) (* x t)) (+ (* (* 2 x) (+ y z)) (* x t))) (* (* y 5.0) (* y 5.0)))
29.3b	(cbrt (- (* (+ (* (* 2 x) (+ y z)) (* x t)) (+ (* (* 2 x) (+ y z)) (* x t))) (* (* y 5.0) (* y 5.0))))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div` `add-log-exp`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3`
2×	`flip3--` `flip3-+` `associate--l+` `flip--` `flip-+` `difference-of-squares`
1×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `diff-log`

Counts

4 → 55

Calls

4 calls:

27.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
27.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
33.0ms	(- (* (+ (* (* 2 x) (+ y z)) (* x t)) (+ (* (* 2 x) (+ y z)) (* x t))) (* (* y 5.0) (* y 5.0)))
35.0ms	(cbrt (- (* (+ (* (* 2 x) (+ y z)) (* x t)) (+ (* (* 2 x) (+ y z)) (* x t))) (* (* y 5.0) (* y 5.0))))

series1.4s

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
293.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
311.0ms	(- (* (+ (* (* 2 x) (+ y z)) (* x t)) (+ (* (* 2 x) (+ y z)) (* x t))) (* (* y 5.0) (* y 5.0)))
536.0ms	(cbrt (- (* (+ (* (* 2 x) (+ y z)) (* x t)) (+ (* (* 2 x) (+ y z)) (* x t))) (* (* y 5.0) (* y 5.0))))

simplify56.0ms

Algorithm

egg-herbie

Counts

67 → 67

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	436	1385
1	1541	1269
2	5001	1263

prune351.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes265.0ms

Accuracy

0% (0.0b 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	20	7
1	20	7

end0.0ms

sample610.0ms

Algorithm

intervals

Results

327.0ms	10558×	body	80	valid
13.0ms	97×	body	1280	valid
10.0ms	91×	body	640	valid
5.0ms	62×	body	320	valid
1.0ms	24×	body	160	valid