Details

sample39.0ms

Algorithm

intervals

Results

18.0ms

390×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	7
1	48	7
2	81	7
3	98	7
4	98	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-log-exp`
10×	`sum-log`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`

Counts

3 → 38

Calls

3 calls:

3.0ms	(+ (* x y) (* z t))
8.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
6.0ms	(+ (+ (* x y) (* z t)) (* a b))

series294.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(+ (* x y) (* z t))
209.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
54.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify35.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	276	348
1	1151	333
2	5001	333

prune132.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x y) (* z t)) (* a b))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.1b	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
0.2b	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3-+` `flip-+` `add-log-exp`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `sum-log` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`+-commutative` `pow2` `associate-+l+` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 100

Calls

4 calls:

10.0ms	(+ (+ (* x y) (* z t)) (* a b))
10.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
6.0ms	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
17.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

series7.5s

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (+ (* x y) (* z t)) (* a b))
3.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
3.6s	(sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))
214.0ms	(* (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))) (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))

simplify66.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	381	1472
1	1707	1332
2	5001	1296

prune305.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.2b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.2b	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
0.2b	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

58×	`cbrt-prod`
44×	`add-sqr-sqrt`
29×	`sqrt-prod`
22×	`add-cube-cbrt` `*-un-lft-identity`
18×	`cbrt-div` `sqrt-div`
11×	`pow1` `swap-sqr`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+` `unswap-sqr`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 112

Calls

4 calls:

8.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
11.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
8.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
21.0ms	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

series405.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
102.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
99.0ms	(cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))))
102.0ms	(* (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))) (cbrt (sqrt (+ (+ (+ (* x y) (* z t)) (* a b)) (* c i)))))

simplify100.0ms

Algorithm

egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 3 (78.0ms)

Iter	Nodes	Cost
0	282	2639
1	906	2498
2	3705	2338
3	5002	2300

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes397.0ms

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	22	7
1	22	7

end0.0ms

sample1.1s

Algorithm

intervals

Results

550.0ms

13582×

body

valid