Details

sample35.0ms

Algorithm

intervals

Results

8.0ms	187×	body	80	valid
5.0ms	38×	body	640	valid
2.0ms	9×	body	1280	valid
2.0ms	13×	body	320	valid
1.0ms	9×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
6	1686
5	419
4	152
3	74
2	35
1	16
0	8

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.4b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
3.1b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
7.5b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

18.0ms	(* (- 1.0 x) y)
18.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
28.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series164.0ms

Counts

3 → 9

Calls

3 calls:

36.0ms	(* (- 1.0 x) y)
75.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
53.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify1.1s

Counts

72 → 72

Iterations

Iter	Nodes
done	5000
2	2052
1	347
0	128

prune325.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
0.0b	(/ y (+ y 1.0))
3.1b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity`
28×	`add-sqr-sqrt`
25×	`times-frac`
21×	`add-cube-cbrt`
18×	`associate-r`
10×	`add-cbrt-cube` `add-exp-log`
7×	`distribute-lft-out`
5×	`pow1` `associate-l` `add-log-exp`
4×	`associate-/r*` `associate-/r/`
3×	`flip3--` `flip--` `associate-/l*`
2×	`frac-times` `cbrt-undiv` `flip3-+` `div-exp` `associate-*l/` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-r/` `-commutative` `distribute-lft-out--` `difference-of-squares`

Counts

3 → 88

Calls

3 calls:

39.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
9.0ms	(/ y (+ y 1.0))
9.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series178.0ms

Counts

3 → 9

Calls

3 calls:

48.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
41.0ms	(/ y (+ y 1.0))
88.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify1.5s

Counts

97 → 97

Iterations

Iter	Nodes
done	5000
2	2460
1	425
0	157

prune417.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (/ 1.0 y))
0.0b	(- (+ x (/ 1.0 y)) (/ (* x 1.0) y))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity` `add-log-exp`
4×	`add-sqr-sqrt`
2×	`pow1` `sum-log` `flip3-+` `add-cbrt-cube` `diff-log` `add-exp-log` `frac-sub` `add-cube-cbrt` `flip-+` `distribute-lft-out` `distribute-lft-out--`
1×	`+-commutative` `sub-neg` `flip3--` `associate--l+` `flip--` `difference-of-squares`

Counts

2 → 31

Calls

2 calls:

11.0ms	(+ x (/ 1.0 y))
85.0ms	(- (+ x (/ 1.0 y)) (/ (* x 1.0) y))

series68.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(+ x (/ 1.0 y))
39.0ms	(- (+ x (/ 1.0 y)) (/ (* x 1.0) y))

simplify879.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5001
2	1026
1	186
0	68

prune167.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ y 1.0))
1.1b	(exp (log (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))))
2.0b	(log (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0)))))
3.1b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

24×	`*-un-lft-identity`
16×	`add-sqr-sqrt` `add-cube-cbrt`
12×	`times-frac`
7×	`add-exp-log`
6×	`pow1` `log-prod` `add-cbrt-cube` `add-log-exp`
4×	`log-div` `exp-prod` `associate-/r*` `distribute-lft-out`
3×	`flip3--` `exp-sum` `flip--` `associate-/l*`
2×	`exp-diff` `associate-/r/` `log-pow`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-exp` `rem-log-exp` `flip-+` `div-inv` `rem-exp-log`

Counts

4 → 76

Calls

4 calls:

16.0ms	(/ y (+ y 1.0))
7.0ms	(exp (log (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))))
5.0ms	(log (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0)))))
7.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series407.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(/ y (+ y 1.0))
85.0ms	(exp (log (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))))
178.0ms	(log (- 1.0 (* (- 1.0 x) (/ y (+ y 1.0)))))
101.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify949.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
2	1286
1	338
0	151

prune330.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes205.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.0b

bsearch97.0ms

Steps

Iters	Range		Point
9	27544.66998078673	1397493302199.9514	194765081.475544
11	-33326255562.233612	-1.7653271249463014e-22	-162929032.46160704

simplify3.0ms

Iterations

Iter	Nodes
done	26
1	26
0	19

end0.0ms

sample1.0s

Algorithm

intervals

Results

332.0ms	6148×	body	80	valid
181.0ms	683×	body	640	valid
132.0ms	381×	body	1280	valid
60.0ms	501×	body	320	valid
23.0ms	287×	body	160	valid