Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	140	19
1	140	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: 31.9b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.8b	(- (* x x) (* (* y 4.0) y))
31.3b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

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

series35.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(+ (* x x) (* (* y 4.0) y))
8.0ms	(- (* x x) (* (* y 4.0) y))
14.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify32.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	5011	1210

prune109.0ms

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

simplify2.0ms

Algorithm

egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	0	0

prune10.0ms

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

localize13.0ms

Local error

Found 4 expressions with local error:

4.8b	(- (* x x) (* y (* y 4.0)))
31.3b	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
31.3b	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
31.3b	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
10×	`add-exp-log` `add-cbrt-cube`
9×	`associate-/r` `associate-/l`
6×	`associate-/r/` `associate-/l/` `add-log-exp`
4×	`pow1` `flip3--` `flip--`
3×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`sub-neg` `diff-log`

Counts

4 → 108

Calls

4 calls:

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

series48.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(- (* x x) (* y (* y 4.0)))
13.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
13.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))
13.0ms	(/ (- (* x x) (* y (* y 4.0))) (+ (* x x) (* y (* y 4.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5268	2764

prune365.0ms

Filtered

97 candidates to 120 candidates (-23.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	120	4	124

Merged error: 0.3b

Counts

124 → 4

localize10.0ms

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)))))
4.8b	(- (* x x) (* y (* y 4.0)))
31.3b	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

rewrite36.0ms

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:

5.0ms	(+ (* 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)))
10.0ms	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

series46.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(+ (* x x) (* y (* y 4.0)))
14.0ms	(/ 1 (/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0)))))
8.0ms	(- (* x x) (* y (* y 4.0)))
14.0ms	(/ (+ (* x x) (* y (* y 4.0))) (- (* x x) (* y (* y 4.0))))

simplify64.0ms

Algorithm

egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4981	3822
1	4981	3822

prune213.0ms

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

regimes360.0ms

Accuracy

59.5% (12.6b remaining)

Error of 13.0b against oracle of 0.4b and baseline of 31.4b

bsearch70.0ms

Steps

Iters	Range		Point
9	3.43401543638109e+114	5.025550553073085e+120	4.40956572394349e+116
7	3971695.541906566	555912312.1893992	4030199.654904938
9	-3.494541859308342e-160	-1.6085586226443578e-165	-3.4109173717513567e-161
8	-1.0891331514545633e+114	-3.5827156305380124e+111	-4.6910854621363227e+113

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	102
1	33	102

end0.0ms

sample636.0ms

Algorithm

intervals

Results

387.0ms

8000×

body

valid

Details

sample23.0ms

simplify4.0ms

prune5.0ms

localize8.0ms

rewrite19.0ms

series35.0ms

simplify32.0ms

prune109.0ms

localize0.0ms

rewrite0.0ms

series0.0ms

simplify2.0ms

prune10.0ms

localize13.0ms

rewrite38.0ms

series48.0ms

simplify46.0ms

prune365.0ms

localize10.0ms

rewrite36.0ms

series46.0ms

simplify64.0ms

prune213.0ms

regimes360.0ms

bsearch70.0ms

simplify1.0ms

end0.0ms

sample636.0ms

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