Details

sample26.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
4.0ms	256×	pre	80	true

simplify1.1s

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.6b

localize29.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* x x) (* y y))
21.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite53.0ms

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:

14.0ms	(+ (* x x) (* y y))
38.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series131.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) (* y y))
94.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify786.0ms

Counts: 48 → 48

prune183.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize33.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
21.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 111

Calls

4 calls:

19.0ms	(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
34.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
44.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
36.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series519.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(cbrt (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))))
106.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
91.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
81.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify789.0ms

Counts: 123 → 123

prune565.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
21.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
21.3b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite175.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
24×	`associate-/l/`
15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`flip3-+` `flip-+`
12×	`frac-times`
10×	`associate-/r/`
9×	`unpow-prod-down` `flip3--` `cube-prod` `associate-/r*` `flip--`
8×	`cbrt-undiv` `div-exp`
6×	`associate-r/` `associate-l/`
5×	`pow1` `div-inv`
4×	`prod-exp` `cbrt-unprod` `add-log-exp`
3×	`pow-unpow` `frac-2neg` `pow-exp` `clear-num` `associate-/l*` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `unpow3` `sqr-pow`

Counts

4 → 133

Calls

4 calls:

45.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
38.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
54.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
30.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series434.0ms

Counts

4 → 12

Calls

4 calls:

101.0ms	(pow (/ (* (- x y) (+ x y)) (+ (* x x) (* y y))) 3)
102.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
113.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))
116.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.2s

Counts: 145 → 145

prune675.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

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

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.1b

regimes85.0ms

Accuracy

75% (5.0b remaining)

Error of 5.5b against oracle of 0.5b and baseline of 20.4b

bsearch165.0ms

Steps

Iters	Range		Point
7	4.021895910307475e-169	2.110976642933336e-167	2.0730393564923114e-167
3	-3.733376959852801e-198	-2.7933584181899312e-198	-3.640183473874901e-198
9	-4.857402503910993e-153	-1.2111398293444788e-161	-1.2360203209322325e-161
8	-5.39711659626412e+157	-1.4887366307331679e+153	-1.1089287400997937e+154

simplify1.7s

end0.0ms

sample993.0ms

Algorithm

intervals

Results

532.0ms	8000×	body	80	valid
180.0ms	8000×	pre	80	true