Details

sample19.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify52.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5027	19

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 32.1b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
5.5b	(- (* x x) (* (* y 4.0) y))
31.6b	(/ (- (* 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:

4.0ms	(+ (* x x) (* (* y 4.0) y))
4.0ms	(- (* x x) (* (* y 4.0) y))
8.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series29.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(+ (* x x) (* (* y 4.0) y))
7.0ms	(- (* x x) (* (* y 4.0) y))
12.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify67.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4943	1210
1	4943	1210

prune104.0ms

Filtered

52 candidates to 64 candidates (-23.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	60	4	64
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	4	65

Merged error: 0.3b

Counts

65 → 4

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify3.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.3b

Counts

4 → 4

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y (* y 4.0)))
5.5b	(- (* x x) (* y (* y 4.0)))
31.6b	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

rewrite19.0ms

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:

4.0ms	(+ (* x x) (* y (* y 4.0)))
4.0ms	(- (* x x) (* y (* y 4.0)))
9.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

series27.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(+ (* x x) (* y (* y 4.0)))
7.0ms	(- (* x x) (* y (* y 4.0)))
13.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

simplify59.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	6327	1210

prune112.0ms

Filtered

49 candidates to 64 candidates (-30.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	64	4	68

Merged error: 0.3b

Counts

68 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* y (* y 4.0)))
0.0b	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
5.5b	(- (* x x) (* y (* y 4.0)))
31.5b	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`associate-/r*`
17×	`add-exp-log`
11×	`associate-/r/` `add-cbrt-cube`
8×	`div-exp` `add-log-exp`
6×	`flip3--` `flip--` `div-inv` `associate-/l*`
5×	`pow1`
4×	`cbrt-undiv`
2×	`rec-exp` `frac-2neg` `flip3-+` `1-exp` `clear-num` `flip-+` `associate-/l/`
1×	`+-commutative` `sub-neg` `pow-flip` `diff-log` `sum-log` `inv-pow`

Counts

4 → 138

Calls

4 calls:

4.0ms	(+ (* x x) (* y (* y 4.0)))
11.0ms	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
4.0ms	(- (* x x) (* y (* y 4.0)))
11.0ms	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

series39.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+ (* x x) (* y (* y 4.0)))
12.0ms	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
8.0ms	(- (* x x) (* y (* y 4.0)))
12.0ms	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

simplify76.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5761	3822

prune198.0ms

Filtered

99 candidates to 150 candidates (-51.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	150	4	154

Merged error: 0.3b

Counts

154 → 4

regimes162.0ms

Accuracy

60.4% (12.3b remaining)

Error of 12.7b against oracle of 0.4b and baseline of 31.4b

bsearch57.0ms

Steps

Iters	Range		Point
8	7.027388087696431e+130	1.8658562892392566e+135	4.335547023360549e+132
6	3.3446579109399416e-64	3.5667490833200524e-63	1.8799530825863938e-63
10	-1.4678756255442547e-146	-3.4992593984767735e-162	-1.4234975565317594e-157
8	-5.790789484525278e+134	-9.366069521860859e+131	-1.764991854214719e+132

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	61
1	64	61

end0.0ms

sample540.0ms

Algorithm

intervals

Results

336.0ms

8000×

body

valid

Details

sample19.0ms

simplify52.0ms

prune5.0ms

localize8.0ms

rewrite17.0ms

series29.0ms

simplify67.0ms

prune104.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify3.0ms

prune8.0ms

localize12.0ms

rewrite19.0ms

series27.0ms

simplify59.0ms

prune112.0ms

localize9.0ms

rewrite35.0ms

series39.0ms

simplify76.0ms

prune198.0ms

regimes162.0ms

bsearch57.0ms

simplify2.0ms

end0.0ms

sample540.0ms

Profiling