Details

sample30.0ms

Algorithm

intervals

Results

10.0ms

388×

body

valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	5
1	25	5
2	27	5
3	27	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

31.0ms	(+ (+ (* x y) (* z t)) (* a b))
8.0ms	(+ (* x y) (* z t))

series79.0ms

Counts

2 → 6

Calls

2 calls:

49.0ms	(+ (+ (* x y) (* z t)) (* a b))
30.0ms	(+ (* x y) (* z t))

simplify77.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	187	190
1	747	179
2	2644	177
3	5001	177

prune71.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite60.0ms

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:

41.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
7.0ms	(cbrt (+ (* x y) (* z t)))

series414.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(* (cbrt (+ (* x y) (* z t))) (cbrt (+ (* x y) (* z t))))
98.0ms	(cbrt (+ (* x y) (* z t)))
97.0ms	(cbrt (+ (* x y) (* z t)))
96.0ms	(cbrt (+ (* x y) (* z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	314	1055
1	1035	988
2	3734	912
3	5002	903

prune311.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series388.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(cbrt (+ (* x y) (* z t)))
96.0ms	(cbrt (+ (* x y) (* z t)))
96.0ms	(cbrt (+ (* x y) (* z t)))
98.0ms	(cbrt (+ (* x y) (* z t)))

simplify90.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 4 (84.0ms)

Iter	Nodes	Cost
0	179	560
1	466	524
2	1245	500
3	2933	496
4	5001	488

prune296.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

1.1b	(pow (cbrt (cbrt (+ (* x y) (* z t)))) 5)
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))
1.5b	(cbrt (+ (* x y) (* z t)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

14.0ms	(pow (cbrt (cbrt (+ (* x y) (* z t)))) 5)
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))

series475.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(pow (cbrt (cbrt (+ (* x y) (* z t)))) 5)
96.0ms	(cbrt (+ (* x y) (* z t)))
98.0ms	(cbrt (+ (* x y) (* z t)))
100.0ms	(cbrt (+ (* x y) (* z t)))

simplify87.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	335	689
1	944	641
2	3141	619
3	5001	608

prune299.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes309.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	5
1	16	5

end0.0ms

sample842.0ms

Algorithm

intervals

Results

331.0ms

12009×

body

valid