Details

sample25.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify20.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 32.2b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
30.0b	(sqrt (+ (* x x) (* y y)))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-log-exp`
3×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
2×	`add-exp-log` `flip3-+` `sqrt-div` `add-cbrt-cube` `flip-+`
1×	`+-commutative` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `sum-log`

Counts

2 → 26

Calls

2 calls:

14.0ms	(+ (* x x) (* y y))
15.0ms	(sqrt (+ (* x x) (* y y)))

series92.0ms

Counts

2 → 6

Calls

2 calls:

31.0ms	(+ (* x x) (* y y))
60.0ms	(sqrt (+ (* x x) (* y y)))

simplify839.0ms

Counts: 32 → 32

prune113.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 8.6b

localize22.0ms

Local error

Found 4 expressions with local error:

5.6b	(- (* x x) (* y y))
10.4b	(+ (* (- (pow y 3)) y) (pow x 4))
30.0b	(sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
39.9b	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

rewrite142.0ms

Algorithm

rewrite-expression-head

Rules

25×	`times-frac`
24×	`add-sqr-sqrt`
21×	`add-cube-cbrt` `*-un-lft-identity`
18×	`sqrt-prod`
8×	`add-log-exp` `difference-of-squares`
6×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `associate-/l/`
1×	`cbrt-undiv` `+-commutative` `sub-neg` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `diff-log` `div-exp` `clear-num` `sum-log`

Counts

4 → 89

Calls

4 calls:

10.0ms	(- (* x x) (* y y))
19.0ms	(+ (* (- (pow y 3)) y) (pow x 4))
37.0ms	(sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
72.0ms	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

series304.0ms

Counts

4 → 12

Calls

4 calls:

63.0ms	(- (* x x) (* y y))
70.0ms	(+ (* (- (pow y 3)) y) (pow x 4))
89.0ms	(sqrt (/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y))))
82.0ms	(/ (+ (* (- (pow y 3)) y) (pow x 4)) (- (* x x) (* y y)))

simplify659.0ms

Counts: 101 → 101

prune325.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.3b

localize2.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify15.0ms

Counts: 0 → 0

prune4.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.3b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify16.0ms

Counts: 0 → 0

prune0.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.3b

regimes271.0ms

Accuracy

46.3% (16.9b remaining)

Error of 17.2b against oracle of 0.3b and baseline of 31.8b

bsearch67.0ms

Steps

Iters	Range		Point
9	2.4695173491361562e+123	1.0540223684506411e+130	3.31599176419622e+127
10	-2.230909400099993e+156	-4.616428544046371e+146	-7.815000942687335e+146

simplify25.0ms

end0.0ms

sample611.0ms

Algorithm

intervals

Results

360.0ms

8000×

body

valid