Details

sample37.0ms

Algorithm

intervals

Results

17.0ms

400×

body

valid

simplify54.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	32	8
1	69	8
2	134	8
3	225	8
4	378	8
5	598	8
6	815	8
7	1035	8
8	1143	8
9	1211	8
10	1211	8

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* a b) 4.0)
0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`add-exp-log` `add-cbrt-cube`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
3×	`pow1` `times-frac` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `diff-log` `div-exp` `sum-log` `frac-sub` `flip-+`
1×	`+-commutative` `sub-neg` `flip3--` `frac-2neg` `prod-exp` `associate--l+` `clear-num` `flip--` `cbrt-unprod` `div-inv` `associate-/l*` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 50

Calls

3 calls:

4.0ms	(/ (* a b) 4.0)
5.0ms	(+ (* x y) (/ (* z t) 16.0))
9.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

series153.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ (* a b) 4.0)
42.0ms	(+ (* x y) (/ (* z t) 16.0))
90.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0))

simplify41.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	301	419
1	1260	392
2	5002	385

prune182.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ 1 (/ 4.0 (* a b))))
0.3b	(/ 4.0 (* a b))
0.8b	(/ 1 (/ 4.0 (* a b)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

38×	`times-frac`
30×	`add-exp-log`
29×	`add-sqr-sqrt`
26×	`*-un-lft-identity`
22×	`add-cube-cbrt`
18×	`add-cbrt-cube`
14×	`div-exp`
11×	`add-log-exp`
8×	`associate-/r*`
7×	`cbrt-undiv` `div-inv`
6×	`associate-/l*`
5×	`pow1`
4×	`prod-exp`
3×	`rec-exp` `1-exp` `difference-of-squares`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `frac-sub` `cbrt-unprod` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `pow-flip` `associate--l+` `associate-/r/` `flip--` `inv-pow`

Counts

4 → 109

Calls

4 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
17.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ 1 (/ 4.0 (* a b))))
4.0ms	(/ 4.0 (* a b))
6.0ms	(/ 1 (/ 4.0 (* a b)))

series176.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (* x y) (/ (* z t) 16.0))
87.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ 1 (/ 4.0 (* a b))))
22.0ms	(/ 4.0 (* a b))
21.0ms	(/ 1 (/ 4.0 (* a b)))

simplify54.0ms

Algorithm

egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	472	819
1	2140	702
2	5001	696

prune305.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(+ (+ (* x y) (/ (* z t) 16.0)) (* (- (/ a 4.0)) b))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
3×	`flip3-+` `flip-+`
2×	`pow1` `add-exp-log` `+-commutative` `distribute-lft-neg-out` `add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l/` `frac-add` `add-cbrt-cube` `distribute-neg-frac`
1×	`associate-+l+` `unsub-neg`

Counts

2 → 28

Calls

2 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
8.0ms	(+ (+ (* x y) (/ (* z t) 16.0)) (* (- (/ a 4.0)) b))

series129.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(+ (* x y) (/ (* z t) 16.0))
85.0ms	(+ (+ (* x y) (/ (* z t) 16.0)) (* (- (/ a 4.0)) b))

simplify118.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	227	329
1	909	308
2	4504	293
3	5001	293

prune122.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x y) (/ (* z t) 16.0))
0.0b	(- (+ (* x y) (/ (* z t) 16.0)) (/ 1 (/ (/ 4.0 a) b)))
0.2b	(/ (/ 4.0 a) b)
0.8b	(/ 1 (/ (/ 4.0 a) b))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
253×	`add-sqr-sqrt`
236×	`*-un-lft-identity`
230×	`add-cube-cbrt`
46×	`associate-/r*`
30×	`add-exp-log`
23×	`div-inv`
18×	`div-exp` `add-cbrt-cube`
16×	`associate-/l*`
11×	`add-log-exp`
9×	`cbrt-undiv`
7×	`difference-of-squares`
5×	`pow1`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `flip3-+` `diff-log` `clear-num` `sum-log` `frac-sub` `flip-+` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `pow-flip` `associate--l+` `associate-/r/` `flip--` `associate-/l/` `inv-pow`

Counts

4 → 306

Calls

4 calls:

5.0ms	(+ (* x y) (/ (* z t) 16.0))
43.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ 1 (/ (/ 4.0 a) b)))
6.0ms	(/ (/ 4.0 a) b)
12.0ms	(/ 1 (/ (/ 4.0 a) b))

series180.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(+ (* x y) (/ (* z t) 16.0))
87.0ms	(- (+ (* x y) (/ (* z t) 16.0)) (/ 1 (/ (/ 4.0 a) b)))
29.0ms	(/ (/ 4.0 a) b)
22.0ms	(/ 1 (/ (/ 4.0 a) b))

simplify53.0ms

Algorithm

egg-herbie

Counts

318 → 318

Iterations

Useful iterations: 1 (27.0ms)

Iter	Nodes	Cost
0	1232	2875
1	5001	2322

prune811.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes265.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	9
1	32	9
2	33	9
3	33	9

end0.0ms

sample984.0ms

Algorithm

intervals

Results

522.0ms

12085×

body

valid