Details

sample37.0ms

Algorithm

intervals

Results

25.0ms

256×

body

valid

simplify159.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.6b

localize27.0ms

Local error

Found 1 expressions with local error:

12.6b

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

rewrite26.0ms

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:

26.0ms

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

series76.0ms

Counts

1 → 3

Calls

1 calls:

76.0ms

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

simplify1.3s

Counts

35 → 35

Iterations

Iter	Nodes
done	5001
2	872
1	223
0	80

prune154.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
6.4b	(* (* 2.0 x) (/ y (- x y)))

rewrite57.0ms

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:

16.0ms	(/ y (- x y))
39.0ms	(* (* 2.0 x) (/ y (- x y)))

series159.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(/ y (- x y))
88.0ms	(* (* 2.0 x) (/ y (- x y)))

simplify1.4s

Counts

90 → 90

Iterations

Iter	Nodes
done	5000
2	1203
1	338
0	122

prune277.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
2.2b	(* (* (/ (cbrt y) (cbrt (- x y))) (/ (cbrt y) (cbrt (- x y)))) (* x 2.0))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
1.0ms	(cbrt y)
83.0ms	(* (* (/ (cbrt y) (cbrt (- x y))) (/ (cbrt y) (cbrt (- x y)))) (* x 2.0))

series1.0s

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt y)
216.0ms	(cbrt y)
271.0ms	(cbrt y)
281.0ms	(* (* (/ (cbrt y) (cbrt (- x y))) (/ (cbrt y) (cbrt (- x y)))) (* x 2.0))

simplify2.7s

Counts

94 → 94

Iterations

Iter	Nodes
done	5001
3	4639
2	1083
1	313
0	116

prune385.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
6.6b	(/ (* x 2.0) (/ (- x y) y))

rewrite46.0ms

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:

19.0ms	(/ (- x y) y)
25.0ms	(/ (* x 2.0) (/ (- x y) y))

series117.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(/ (- x y) y)
88.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5002
2	1463
1	422
0	157

prune301.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes74.0ms

Accuracy

99.1% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 7.1b

bsearch70.0ms

Steps

Iters	Range		Point
8	6.72681328144926e+16	7.615660190342274e+20	1.3615474866246526e+17
9	-3.5658960908207357e-28	-1.1157118283545714e-36	-3.0638957814586657e-28

simplify4.0ms

Iterations

Iter	Nodes
done	23
1	23
0	16

end0.0ms

sample810.0ms

Algorithm

intervals

Results

643.0ms

8000×

body

valid