Details

sample26.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify146.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 31.1b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
2.3b	(- (* x x) (* (* y 4.0) y))
30.6b	(/ (- (* 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))
9.0ms	(- (* x x) (* (* y 4.0) y))
36.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series202.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(+ (* x x) (* (* y 4.0) y))
62.0ms	(- (* x x) (* (* y 4.0) y))
87.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify2.2s

Counts: 64 → 64

prune148.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Counts: 0 → 0

prune3.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* y 4.0) y))
0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
19.8b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
25.5b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
8×	`add-cube-cbrt` `associate-/r/` `add-log-exp`
7×	`times-frac`
6×	`associate-/r*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `prod-exp` `cbrt-unprod` `div-inv`
3×	`distribute-rgt-out--`
2×	`frac-2neg` `clear-num` `associate-/l*` `difference-of-squares`
1×	`+-commutative` `sub-neg` `flip3--` `diff-log` `sum-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 79

Calls

4 calls:

15.0ms	(+ (* x x) (* (* y 4.0) y))
115.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
30.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
41.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

series305.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(+ (* x x) (* (* y 4.0) y))
108.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
64.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))
82.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))

simplify781.0ms

Counts: 91 → 91

prune234.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify15.0ms

Counts: 0 → 0

prune0.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0.2b

regimes184.0ms

Accuracy

60.6% (12.3b remaining)

Error of 12.7b against oracle of 0.4b and baseline of 31.5b

bsearch146.0ms

Steps

Iters	Range		Point
7	9.62671531487631e+189	1.1246580998984748e+192	6.180077099071457e+191
8	6.389544042978484e-134	1.196866985700387e-129	1.220088560819747e-131
9	3.049729214762652e-185	4.935737357870895e-180	2.2855828523657932e-180
5	9.323745950559735e-252	3.4600330871917286e-251	1.3761225097425309e-251

simplify153.0ms

end0.0ms

sample847.0ms

Algorithm

intervals

Results

557.0ms

8000×

body

valid