Details

sample24.0ms

Algorithm

intervals

Results

10.0ms	328×	body	80	valid
1.0ms	4×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	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

localize13.0ms

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

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

series154.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
31.0ms	(+ (+ (+ y z) z) y)
42.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
23.0ms	(+ (+ 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	5003	419

prune185.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

10.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
7.0ms	(* (* 2 x) (+ y z))
8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

series144.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
39.0ms	(* (* 2 x) (+ y z))
47.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

simplify58.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5001	357

prune134.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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))))

rewrite51.0ms

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:

9.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
9.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
9.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
22.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
281.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
276.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
391.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (36.0ms)

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

prune363.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

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

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
51×	`cbrt-prod`
38×	`cbrt-div`
29×	`add-cube-cbrt` `*-un-lft-identity`
25×	`pow1`
19×	`flip3-+` `pow1/3` `flip-+`
18×	`swap-sqr` `associate-r` `associate-l`
12×	`frac-times` `unswap-sqr`
10×	`add-exp-log`
6×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 157

Calls

4 calls:

9.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
25.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))
23.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))
22.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))

series1.5s

Counts

4 → 12

Calls

4 calls:

290.0ms	(cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0)))
403.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))
409.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))
398.0ms	(* (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))) (cbrt (+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))))

simplify74.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	405	3874
1	1401	3647
2	5001	3326

prune660.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes195.0ms

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	19	7
1	19	7

end0.0ms

sample675.0ms

Algorithm

intervals

Results

357.0ms	10681×	body	80	valid
16.0ms	113×	body	640	valid
13.0ms	88×	body	1280	valid
6.0ms	65×	body	320	valid
2.0ms	25×	body	160	valid