Details

sample32.0ms

Algorithm

intervals

Results

21.0ms

256×

body

valid

simplify153.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	174
8	174
7	170
6	160
5	136
4	88
3	48
2	27
1	15
0	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize16.0ms

Local error

Found 1 expressions with local error:

16.7b

(/ (* (* x 2.0) y) (- x y))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`associate-/r*` `times-frac`
3×	`cbrt-undiv` `div-exp` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`associate-/r/` `distribute-lft-out--` `difference-of-squares`
1×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `flip3--` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

31.0ms

(/ (* (* x 2.0) y) (- x y))

series101.0ms

Counts

1 → 3

Calls

1 calls:

101.0ms

(/ (* (* x 2.0) y) (- x y))

simplify460.0ms

Counts

35 → 35

Iterations

Iter	Nodes
done	2001
2	872
1	223
0	80

prune124.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.3b	(* (* x 2.0) (/ y (- x y)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`times-frac`
21×	`associate-r` `add-cube-cbrt`
16×	`add-cbrt-cube` `add-exp-log`
7×	`pow1` `distribute-lft-out--` `difference-of-squares`
6×	`prod-exp` `cbrt-unprod`
5×	`associate-/r*`
4×	`associate-/r/`
3×	`cbrt-undiv` `div-exp` `pow-prod-down` `associate-/l*`
2×	`expm1-log1p-u` `flip3--` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-l` `associate-r/` `-commutative`

Counts

2 → 84

Calls

2 calls:

13.0ms	(/ y (- x y))
40.0ms	(* (* x 2.0) (/ y (- x y)))

series168.0ms

Counts

2 → 6

Calls

2 calls:

70.0ms	(/ y (- x y))
98.0ms	(* (* x 2.0) (/ y (- x y)))

simplify716.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2000
2	1213
1	338
0	122

prune248.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
1.7b	(* x (* 2.0 (* (/ (cbrt y) (cbrt (- x y))) (/ (cbrt y) (cbrt (- x y))))))

rewrite190.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
21×	`add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
13×	`pow1`
9×	`cbrt-prod`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`associate-*r/`
6×	`pow-prod-down`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l`
1×	`frac-times` `associate-r` `associate-l/` `-commutative`

Counts

4 → 75

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
186.0ms	(* x (* 2.0 (* (/ (cbrt y) (cbrt (- x y))) (/ (cbrt y) (cbrt (- x y))))))

series1.1s

Counts

4 → 12

Calls

4 calls:

306.0ms	(cbrt y)
256.0ms	(cbrt y)
254.0ms	(cbrt y)
319.0ms	(* x (* 2.0 (* (/ (cbrt y) (cbrt (- x y))) (/ (cbrt y) (cbrt (- x y))))))

simplify786.0ms

Counts

87 → 87

Iterations

Iter	Nodes
done	2003
2	1081
1	336
0	130

prune350.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.3b	(/ (* x 2.0) (/ (- x y) y))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
50×	`add-sqr-sqrt` `*-un-lft-identity`
30×	`add-cube-cbrt`
22×	`associate-/r*`
16×	`add-cbrt-cube` `add-exp-log`
10×	`distribute-lft-out--` `difference-of-squares`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/l*`
4×	`div-inv`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 102

Calls

2 calls:

13.0ms	(/ (- x y) y)
14.0ms	(/ (* x 2.0) (/ (- x y) y))

series109.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(/ (- x y) y)
73.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify730.0ms

Counts

108 → 108

Iterations

Iter	Nodes
done	2024
2	1463
1	422
0	157

prune325.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

regimes131.0ms

Accuracy

92.9% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.6b

bsearch87.0ms

Steps

Iters	Range		Point
10	9.685638179074109e+101	3.320362794364336e+114	9.799425869832502e+101
7	-1.160038304484463e+47	-5.414307445225446e+45	-9.50828047314787e+45

simplify5.0ms

Iterations

Iter	Nodes
done	26
1	26
0	18

end0.0ms

sample907.0ms

Algorithm

intervals

Results

718.0ms

8000×

body

valid