Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

256×

body

valid

simplify307.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	252
7	252
6	244
5	199
4	133
3	77
2	39
1	19
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.6b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.4b	(- (* x x) (* (* y 4.0) y))
30.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite58.0ms

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×	`expm1-log1p-u` `pow1` `associate-/r` `log1p-expm1-u` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `div-inv`

Counts

3 → 64

Calls

3 calls:

7.0ms	(+ (* x x) (* (* y 4.0) y))
9.0ms	(- (* x x) (* (* y 4.0) y))
40.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

59.0ms	(+ (* x x) (* (* y 4.0) y))
56.0ms	(- (* x x) (* (* y 4.0) y))
102.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.8s

Counts

73 → 73

Iterations

Iter	Nodes
done	5000
2	1796
1	279
0	98

prune492.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize1.0ms

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

prune22.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
1.4b	(log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
4.4b	(- (* x x) (* (* y 4.0) y))
30.0b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
5×	`expm1-log1p-u`
4×	`pow1` `log1p-expm1-u`
3×	`associate-/r` `associate-/l`
2×	`flip3-+` `flip3--` `associate-/r/` `flip-+` `flip--` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `log1p-udef` `clear-num` `sum-log` `sub-neg` `fma-def` `frac-2neg` `fma-neg` `diff-log` `div-sub` `div-exp` `prod-diff` `log1p-expm1` `div-inv`

Counts

4 → 75

Calls

4 calls:

7.0ms	(+ (* x x) (* (* y 4.0) y))
0.0ms	(log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
7.0ms	(- (* x x) (* (* y 4.0) y))
29.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series385.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(+ (* x x) (* (* y 4.0) y))
176.0ms	(log1p (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))))
72.0ms	(- (* x x) (* (* y 4.0) y))
85.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify1.8s

Counts

87 → 87

Iterations

Iter	Nodes
done	5000
2	1818
1	308
0	117

prune486.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

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

prune0.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes275.0ms

Accuracy

59.9% (12.5b remaining)

Error of 12.9b against oracle of 0.4b and baseline of 31.7b

bsearch166.0ms

Steps

Iters	Range		Point
10	5.983110960818372e+78	5.424691173039659e+92	5.30647809698798e+92
3	7.239527806489587e-193	8.471152663935262e-193	8.394176110344907e-193
6	-7.034794544076098e-65	-6.211282037120254e-66	-7.394329418796279e-66
4	-1.8700852155488777e+100	-1.0341250558666946e+100	-1.6887213599031206e+100

simplify5.0ms

Iterations

Iter	Nodes
done	30
1	30
0	25

end0.0ms

sample863.0ms

Algorithm

intervals

Results

639.0ms

8000×

body

valid