Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify18.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	18	9
1	36	9
2	68	9
3	117	9
4	174	9
5	195	9
6	197	9
7	197	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.0b	(- (* x x) (* (* y 4.0) y))
31.5b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l`
2×	`flip3--` `flip3-+` `associate-/r/` `flip--` `flip-+` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `sum-log` `div-inv`

Counts

3 → 55

Calls

3 calls:

3.0ms	(+ (* x x) (* (* y 4.0) y))
3.0ms	(- (* x x) (* (* y 4.0) y))
11.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series141.0ms

Counts

3 → 9

Calls

3 calls:

37.0ms	(+ (* x x) (* (* y 4.0) y))
41.0ms	(- (* x x) (* (* y 4.0) y))
62.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	234	680
1	1007	622
2	5001	620

prune146.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.3b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
0.0b	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
4.0b	(- (* x x) (* (* y 4.0) y))
31.5b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
16×	`log-pow`
15×	`exp-prod`
8×	`add-log-exp`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`associate-/r/`
3×	`log-prod` `flip3-+` `associate-/r` `flip-+` `associate-/l`
2×	`flip3--` `div-sub` `flip--` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `log-div` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp` `clear-num` `sum-log`

Counts

4 → 83

Calls

4 calls:

5.0ms	(+ (* x x) (* (* y 4.0) y))
16.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
3.0ms	(- (* x x) (* (* y 4.0) y))
11.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series200.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+ (* x x) (* (* y 4.0) y))
59.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
44.0ms	(- (* x x) (* (* y 4.0) y))
59.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify40.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	287	1034
1	1088	945
2	5002	942

prune419.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
20.8b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
23.9b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite147.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-sqr-sqrt` `add-cbrt-cube`
14×	`*-un-lft-identity`
12×	`associate-/r/`
10×	`add-cube-cbrt` `log-pow`
9×	`exp-prod`
8×	`times-frac`
6×	`distribute-rgt-out--` `flip3-+` `associate-/r*` `flip-+` `div-inv` `add-log-exp`
5×	`pow1` `cbrt-undiv` `log-prod` `div-exp`
4×	`prod-exp` `cbrt-unprod` `difference-of-squares`
2×	`sub-neg` `frac-2neg` `exp-sum` `clear-num` `associate-/l*` `distribute-lft-out--`
1×	`log-div` `flip3--` `exp-diff` `diff-log` `rem-log-exp` `frac-sub` `flip--` `sub-div`

Counts

4 → 92

Calls

4 calls:

92.0ms	(log (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
35.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
10.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
7.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series260.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(log (exp (- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
74.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
55.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
56.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify56.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	427	1293
1	1929	1153
2	5001	1153

prune228.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

regimes197.0ms

Accuracy

60.1% (12.5b remaining)

Error of 12.8b against oracle of 0.3b and baseline of 31.7b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	52
1	42	52

end0.0ms

sample348.0ms

Algorithm

intervals

Results

223.0ms

8000×

body

valid