Details

sample32.0ms

Algorithm

intervals

Results

12.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify973.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
19.9b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-/l/`
7×	`add-exp-log` `add-cbrt-cube`
5×	`flip3-+` `flip-+`
4×	`add-sqr-sqrt` `frac-times` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`flip3--` `times-frac` `associate-/r*` `flip--`
2×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `associate-/r/`
1×	`+-commutative` `frac-2neg` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `div-inv` `associate-/l*`

Counts

2 → 42

Calls

2 calls:

18.0ms	(+ (* x x) (* y y))
75.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series148.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(+ (* x x) (* y y))
93.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify778.0ms

Counts: 48 → 48

prune233.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize34.0ms

Local error

Found 4 expressions with local error:

20.2b	(cbrt (+ (* x x) (* y y)))
20.2b	(cbrt (+ (* x x) (* y y)))
20.2b	(cbrt (+ (* x x) (* y y)))
20.5b	(/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div`
16×	`add-exp-log`
12×	`flip3-+` `add-cbrt-cube` `flip-+`
9×	`cbrt-prod`
8×	`frac-times` `associate-/r/` `associate-/l/`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `cbrt-undiv` `associate-r/` `div-exp` `associate-l/` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`flip3--` `pow1/3` `flip--`
1×	`frac-2neg` `times-frac` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 76

Calls

4 calls:

5.0ms	(cbrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))
5.0ms	(cbrt (+ (* x x) (* y y)))
79.0ms	(/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))

series690.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(cbrt (+ (* x x) (* y y)))
135.0ms	(cbrt (+ (* x x) (* y y)))
153.0ms	(cbrt (+ (* x x) (* y y)))
269.0ms	(/ (* (- x y) (+ x y)) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))

simplify969.0ms

Counts: 88 → 88

prune339.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

7.9b	(/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
20.2b	(cbrt (+ (* x x) (* y y)))
20.2b	(cbrt (+ (* x x) (* y y)))
20.2b	(cbrt (+ (* x x) (* y y)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 75

Calls

4 calls:

75.0ms	(/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
10.0ms	(cbrt (+ (* x x) (* y y)))
10.0ms	(cbrt (+ (* x x) (* y y)))
10.0ms	(cbrt (+ (* x x) (* y y)))

series564.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (- x y) (* (cbrt (+ (* x x) (* y y))) (cbrt (+ (* x x) (* y y)))))
126.0ms	(cbrt (+ (* x x) (* y y)))
120.0ms	(cbrt (+ (* x x) (* y y)))
150.0ms	(cbrt (+ (* x x) (* y y)))

simplify1.0s

Counts: 87 → 87

prune340.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.4b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify11.0ms

Counts: 0 → 0

prune0.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.4b

regimes135.0ms

Accuracy

74.5% (5.1b remaining)

Error of 5.7b against oracle of 0.5b and baseline of 20.6b

bsearch139.0ms

Steps

Iters	Range		Point
8	1.6989920831793191e-195	1.3954199999482485e-191	1.72912796917191e-195
6	2.6775240392684748e-222	2.9397084142510984e-221	2.8810496844703916e-221
9	-1.3253684459967686e-156	-8.083447550695475e-164	-5.039947627179523e-162
8	-1.9774576572774193e+157	-3.9902908412208803e+152	-4.18099351647993e+152

simplify874.0ms

end0.0ms

sample943.0ms

Algorithm

intervals

Results

447.0ms	8000×	body	80	valid
231.0ms	8000×	pre	80	true