Details

sample45.0ms

Algorithm

intervals

Results

14.0ms

426×

body

valid

simplify9.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite152.0ms

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:

113.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
8.0ms	(+ (* x y) (* z t))
30.0ms	(+ (+ (* x y) (* z t)) (* a b))

series283.0ms

Counts

3 → 9

Calls

3 calls:

203.0ms	(+ (+ (+ (* x y) (* z t)) (* a b)) (* c i))
30.0ms	(+ (* x y) (* z t))
50.0ms	(+ (+ (* x y) (* z t)) (* a b))

simplify36.0ms

Algorithm

egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 1 (7.0ms)

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

prune141.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b)) (* c i))
0.3b	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
1.3b	(sqrt (+ (* x y) (* z t)))
1.3b	(sqrt (+ (* x y) (* z t)))

rewrite168.0ms

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:

101.0ms	(+ (+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b)) (* c i))
47.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
8.0ms	(sqrt (+ (* x y) (* z t)))
8.0ms	(sqrt (+ (* x y) (* z t)))

series372.0ms

Counts

4 → 12

Calls

4 calls:

207.0ms	(+ (+ (* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t)))) (* a b)) (* c i))
30.0ms	(* (sqrt (+ (* x y) (* z t))) (sqrt (+ (* x y) (* z t))))
68.0ms	(sqrt (+ (* x y) (* z t)))
66.0ms	(sqrt (+ (* x y) (* z t)))

simplify49.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	327	979
1	1327	844
2	5001	815

prune304.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

1.3b	(sqrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))
1.8b	(cbrt (+ (* x y) (* z t)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`cbrt-div`
5×	`pow1`
4×	`add-exp-log` `flip3-+` `add-cbrt-cube` `flip-+` `add-log-exp`
3×	`pow1/3` `sqrt-prod`
2×	`sqrt-div`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 54

Calls

4 calls:

8.0ms	(sqrt (+ (* x y) (* z t)))
8.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))
5.0ms	(cbrt (+ (* x y) (* z t)))

series364.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (+ (* x y) (* z t)))
102.0ms	(cbrt (+ (* x y) (* z t)))
100.0ms	(cbrt (+ (* x y) (* z t)))
99.0ms	(cbrt (+ (* x y) (* z t)))

simplify71.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	239	547
1	682	511
2	2398	491
3	5001	481

prune354.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes407.0ms

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

sample1.3s

Algorithm

intervals

Results

470.0ms

13647×

body

valid