Details

sample28.0ms

Algorithm

intervals

Results

10.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify1.0s

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (* x x) (* y y))
0.0b	(* (- x y) (+ x y))
18.0b	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 73

Calls

3 calls:

12.0ms	(+ (* x x) (* y y))
45.0ms	(* (- x y) (+ x y))
60.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

series189.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(+ (* x x) (* y y))
73.0ms	(* (- x y) (+ x y))
85.0ms	(/ (* (- x y) (+ x y)) (+ (* x x) (* y y)))

simplify1.1s

Counts: 82 → 82

prune298.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- x y) (+ x y))
0.0b	(+ (* x x) (* y y))
0.0b	(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
18.0b	(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

rewrite263.0ms

Algorithm

rewrite-expression-head

Rules

60×	`times-frac`
41×	`associate-/r/`
36×	`add-sqr-sqrt` `*-un-lft-identity`
32×	`add-exp-log` `add-cube-cbrt`
24×	`frac-times`
20×	`flip3-+` `add-cbrt-cube` `flip-+`
18×	`flip3--` `flip--`
16×	`associate-/r*`
14×	`div-exp`
12×	`associate-r/` `associate-l/`
7×	`pow1` `cbrt-undiv`
6×	`div-inv` `associate-/l*` `add-log-exp`
5×	`associate-l` `prod-exp`
4×	`associate-r`
3×	`rec-exp` `1-exp` `cbrt-unprod`
2×	`frac-2neg` `clear-num` `associate-/l/`
1×	`+-commutative` `distribute-rgt-in` `pow-flip` `distribute-lft-in` `pow-prod-down` `sum-log` `*-commutative` `distribute-lft-out` `distribute-lft-out--` `inv-pow` `difference-of-squares` `unswap-sqr`

Counts

4 → 161

Calls

4 calls:

68.0ms	(* (- x y) (+ x y))
16.0ms	(+ (* x x) (* y y))
85.0ms	(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
76.0ms	(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (- x y) (+ x y))
28.0ms	(+ (* x x) (* y y))
83.0ms	(/ 1 (/ (+ (* x x) (* y y)) (* (- x y) (+ x y))))
94.0ms	(/ (+ (* x x) (* y y)) (* (- x y) (+ x y)))

simplify1.8s

Counts: 173 → 173

prune457.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.5b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (pow x 2) (pow y 2))
0.2b	(* (* 1 (- x y)) (/ (* 1 (+ x y)) (+ (pow x 2) (pow y 2))))
18.0b	(/ (* 1 (+ x y)) (+ (pow x 2) (pow y 2)))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

50×	`add-exp-log`
29×	`add-cbrt-cube`
28×	`prod-exp`
23×	`*-un-lft-identity`
12×	`div-exp` `cbrt-unprod`
11×	`associate-r`
10×	`times-frac`
8×	`pow1` `unpow-prod-down` `1-exp` `distribute-lft-out`
7×	`add-sqr-sqrt` `add-cube-cbrt` `associate-*r/`
6×	`cbrt-undiv`
5×	`associate-/r*` `add-log-exp`
4×	`flip3-+` `associate-/r/` `flip-+`
3×	`pow-prod-down`
2×	`frac-times` `flip3--` `associate-*l/` `flip--` `div-inv` `associate-/l/`
1×	`+-commutative` `frac-2neg` `associate-l` `clear-num` `sum-log` `-commutative` `associate-/l`

Counts

3 → 88

Calls

3 calls:

21.0ms	(+ (pow x 2) (pow y 2))
126.0ms	(* (* 1 (- x y)) (/ (* 1 (+ x y)) (+ (pow x 2) (pow y 2))))
49.0ms	(/ (* 1 (+ x y)) (+ (pow x 2) (pow y 2)))

series162.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(+ (pow x 2) (pow y 2))
68.0ms	(* (* 1 (- x y)) (/ (* 1 (+ x y)) (+ (pow x 2) (pow y 2))))
59.0ms	(/ (* 1 (+ x y)) (+ (pow x 2) (pow y 2)))

simplify910.0ms

Counts: 97 → 97

prune226.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.5b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify19.0ms

Counts: 0 → 0

prune1.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.5b

regimes100.0ms

Accuracy

75.5% (4.9b remaining)

Error of 5.4b against oracle of 0.5b and baseline of 20.4b

bsearch128.0ms

Steps

Iters	Range	Point
9	1.458688700684221e-176	1.9723020502595543e-171	1.9550596034746766e-171
9	-9.730731641042183e-159	-3.67244699080963e-166	-1.6603048542966062e-162
9	-6.038089755035426e+154	-8.991673783241915e+149	-3.658988851323816e+150

Iters

Range

Point

1.458688700684221e-176

1.9723020502595543e-171

1.9550596034746766e-171

-9.730731641042183e-159

-3.67244699080963e-166

-1.6603048542966062e-162

-6.038089755035426e+154

-8.991673783241915e+149

-3.658988851323816e+150

simplify1000.0ms

end0.0ms

sample935.0ms

Algorithm

intervals

Results

494.0ms	8000×	body	80	valid
175.0ms	8000×	pre	80	true