Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify146.0ms

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.1b

localize17.0ms

Local error

Found 1 expressions with local error:

12.8b

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

rewrite24.0ms

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--` `log1p-expm1-u` `div-inv` `flip--` `associate-/l*` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

23.0ms

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

series72.0ms

Counts

1 → 3

Calls

1 calls:

72.0ms

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

simplify1.4s

Counts

34 → 34

Iterations

Iter	Nodes
done	5000
2	878
1	222
0	79

prune165.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
0.6b	(cbrt (- x y))
6.3b	(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

rewrite134.0ms

Algorithm

rewrite-expression-head

Rules

45×	`add-exp-log`
43×	`add-sqr-sqrt`
35×	`*-un-lft-identity`
32×	`add-cbrt-cube`
31×	`cbrt-prod`
30×	`associate-r`
27×	`times-frac`
23×	`add-cube-cbrt`
20×	`cbrt-div`
18×	`prod-exp` `cbrt-unprod`
13×	`cbrt-undiv` `div-exp` `associate-l`
10×	`flip3--` `associate-/r/` `flip--`
6×	`pow1` `distribute-lft-out--` `difference-of-squares`
5×	`frac-times`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3` `associate-l/` `associate-r/` `unswap-sqr`
2×	`div-inv`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 131

Calls

4 calls:

7.0ms	(cbrt (- x y))
3.0ms	(cbrt (- x y))
4.0ms	(cbrt (- x y))
107.0ms	(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

series717.0ms

Counts

4 → 12

Calls

4 calls:

201.0ms	(cbrt (- x y))
217.0ms	(cbrt (- x y))
202.0ms	(cbrt (- x y))
97.0ms	(* (/ (* x 2.0) (* (cbrt (- x y)) (cbrt (- x y)))) (/ y (cbrt (- x y))))

simplify2.2s

Counts

143 → 143

Iterations

Iter	Nodes
done	5000
2	3121
1	635
0	217

prune593.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ y (- x y))
7.8b	(* (* 2.0 x) (/ y (- x y)))

rewrite44.0ms

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--` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
1×	`clear-num` `frac-2neg` `associate-l` `associate-r/` `-commutative`

Counts

2 → 82

Calls

2 calls:

9.0ms	(/ y (- x y))
32.0ms	(* (* 2.0 x) (/ y (- x y)))

series123.0ms

Counts

2 → 6

Calls

2 calls:

54.0ms	(/ y (- x y))
69.0ms	(* (* 2.0 x) (/ y (- x y)))

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5000
2	1202
1	336
0	120

prune333.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- x y) y)
7.8b	(/ (* x 2.0) (/ (- x y) y))

rewrite39.0ms

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` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`flip3--` `div-sub` `associate-/r/` `flip--`

Counts

2 → 100

Calls

2 calls:

15.0ms	(/ (- x y) y)
21.0ms	(/ (* x 2.0) (/ (- x y) y))

series123.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(/ (- x y) y)
87.0ms	(/ (* x 2.0) (/ (- x y) y))

simplify1.4s

Counts

106 → 106

Iterations

Iter	Nodes
done	5004
2	1426
1	420
0	155

prune408.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

93.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 7.2b

bsearch93.0ms

Steps

Iters	Range		Point
7	1.1799038613984208e-111	3.675373565137037e-110	3.623788386587476e-110
11	-55576812.421804816	-5.808948663910877e-13	-5.017767382818573e-05

simplify3.0ms

Iterations

Iter	Nodes
done	22
1	22
0	16

end0.0ms

sample609.0ms

Algorithm

intervals

Results

411.0ms

8000×

body

valid