Details

sample23.0ms

Algorithm

intervals

Results

10.0ms

256×

body

valid

simplify10.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.4b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
4.6b	(- (* x x) (* (* y 4.0) y))
30.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite57.0ms

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:

9.0ms	(+ (* x x) (* (* y 4.0) y))
17.0ms	(- (* x x) (* (* y 4.0) y))
30.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series156.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(+ (* x x) (* (* y 4.0) y))
53.0ms	(- (* x x) (* (* y 4.0) y))
63.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify108.0ms

Counts: 64 → 64

prune193.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune5.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
0.0b	(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
4.6b	(- (* x x) (* (* y 4.0) y))
30.8b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
42×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
36×	`cbrt-prod`
30×	`unpow-prod-down` `cube-prod`
10×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`add-log-exp`
5×	`pow1` `flip3-+` `flip-+` `div-inv`
3×	`pow-unpow` `associate-/r` `associate-/l`
2×	`cbrt-undiv` `cube-div` `cube-mult` `flip3--` `unpow3` `div-exp` `pow-exp` `flip--` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `sub-neg` `cbrt-div` `pow-pow` `frac-2neg` `pow1/3` `diff-log` `div-sub` `clear-num` `rem-cbrt-cube`

Counts

4 → 140

Calls

4 calls:

38.0ms	(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
32.0ms	(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
12.0ms	(- (* x x) (* (* y 4.0) y))
47.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series309.0ms

Counts

4 → 12

Calls

4 calls:

89.0ms	(cbrt (pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3))
90.0ms	(pow (/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y))) 3)
55.0ms	(- (* x x) (* (* y 4.0) y))
74.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify68.0ms

Counts: 152 → 152

prune370.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.3b

localize5.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify2.0ms

Counts: 0 → 0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.3b

regimes170.0ms

Accuracy

55.3% (14.1b remaining)

Error of 14.4b against oracle of 0.4b and baseline of 31.8b

bsearch162.0ms

Steps

Iters	Range	Point
10	1.8982386372946613e-27	1.1420280442282602e-13	4.023717811960942e-14
9	-1.264376523463885e-137	-1.4592107928358484e-142	-2.565171579910276e-142
6	-2.1309189879278974e+107	-1.9048552592598947e+106	-2.091774049465234e+107

Iters

Range

Point

1.8982386372946613e-27

1.1420280442282602e-13

4.023717811960942e-14

-1.264376523463885e-137

-1.4592107928358484e-142

-2.565171579910276e-142

-2.1309189879278974e+107

-1.9048552592598947e+106

-2.091774049465234e+107

simplify33.0ms

end0.0ms

sample707.0ms

Algorithm

intervals

Results

464.0ms

8000×

body

valid