Details

sample26.0ms

Algorithm

intervals

Results

17.0ms

256×

body

valid

simplify181.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	202
7	202
6	198
5	169
4	116
3	67
2	35
1	17
0	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
3.9b	(- (* x x) (* (* y 4.0) y))
32.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-log-exp`
5×	`add-cbrt-cube` `add-exp-log`
3×	`pow1` `associate-/r` `insert-posit16` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

3 → 58

Calls

3 calls:

8.0ms	(+ (* x x) (* (* y 4.0) y))
10.0ms	(- (* x x) (* (* y 4.0) y))
32.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(+ (* x x) (* (* y 4.0) y))
54.0ms	(- (* x x) (* (* y 4.0) y))
94.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.2s

Counts

67 → 67

Iterations

Iter	Nodes
done	5000
2	1238
1	257
0	90

prune330.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.4b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Iter	Nodes
done	0
0	0

prune14.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.4b

localize44.0ms

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)))))
3.9b	(- (* x x) (* (* y 4.0) y))
32.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
16×	`log-pow`
15×	`exp-prod`
8×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`pow1`
4×	`associate-/r/` `insert-posit16`
3×	`log-prod` `associate-/r` `flip3-+` `flip-+` `associate-/l`
2×	`flip3--` `div-sub` `div-inv` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log-div` `clear-num` `sum-log` `sub-neg` `frac-2neg` `exp-diff` `diff-log` `div-exp` `rem-log-exp`

Counts

4 → 87

Calls

4 calls:

11.0ms	(+ (* x x) (* (* y 4.0) y))
34.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
13.0ms	(- (* x x) (* (* y 4.0) y))
39.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(+ (* x x) (* (* y 4.0) y))
71.0ms	(log (exp (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))))
47.0ms	(- (* x x) (* (* y 4.0) y))
97.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.3s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
2	1319
1	316
0	139

prune493.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.4b

localize26.0ms

Local error

Found 4 expressions with local error:

3.9b	(- (* x x) (* (* y 4.0) y))
30.3b	(sqrt (+ (* x x) (* (* y 4.0) y)))
30.3b	(sqrt (+ (* x x) (* (* y 4.0) y)))
30.4b	(/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac` `sqrt-prod`
6×	`pow1` `associate-/r*` `add-cbrt-cube` `sqrt-div` `add-exp-log` `add-log-exp`
4×	`insert-posit16`
3×	`flip3-+` `flip-+` `associate-/l*`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `div-inv`

Counts

4 → 90

Calls

4 calls:

15.0ms	(- (* x x) (* (* y 4.0) y))
13.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
13.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
47.0ms	(/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))

series363.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(- (* x x) (* (* y 4.0) y))
72.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
94.0ms	(sqrt (+ (* x x) (* (* y 4.0) y)))
145.0ms	(/ (- (* x x) (* (* y 4.0) y)) (sqrt (+ (* x x) (* (* y 4.0) y))))

simplify963.0ms

Counts

102 → 102

Iterations

Iter	Nodes
done	5000
2	1244
1	293
0	118

prune392.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

regimes266.0ms

Accuracy

57.6% (13.0b remaining)

Error of 13.4b against oracle of 0.4b and baseline of 31.0b

bsearch155.0ms

Steps

Iters	Range		Point
6	5.0236262552051345e+290	6.359886633378424e+291	5.112886449152387e+290
8	1.4998785452723343e+268	2.8098965236775043e+272	1.761554774712835e+268
9	1.0409945200156298e+208	1.0572721246855917e+213	1.0463855970660416e+213
6	1.3154113404079815e-229	7.452616610483883e-229	1.3643855637695705e-229

simplify7.0ms

Iterations

Iter	Nodes
done	35
1	35
0	29

end0.0ms

sample1.4s

Algorithm

intervals

Results

1.3s

8000×

body

valid