Details

sample41.0ms

Algorithm

intervals

Results

11.0ms	191×	body	80	valid
5.0ms	25×	body	640	valid
3.0ms	12×	body	1280	valid
2.0ms	14×	body	320	valid
2.0ms	14×	body	160	valid

simplify163.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) y)
3.2b	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
5.3b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite98.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

26.0ms	(* (- 1.0 x) y)
43.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
25.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series179.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(* (- 1.0 x) y)
84.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
53.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify48.0ms

Counts: 72 → 72

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- 1.0 x) (/ y (+ y 1.0)))
0.0b	(/ y (+ y 1.0))
3.2b	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

rewrite78.0ms

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

Counts

3 → 88

Calls

3 calls:

46.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
12.0ms	(/ y (+ y 1.0))
17.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series197.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
53.0ms	(/ y (+ y 1.0))
77.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify43.0ms

Counts: 97 → 97

prune229.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
0.0b	(/ 1 (+ y 1.0))
0.1b	(* y (/ 1 (+ y 1.0)))
5.2b	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

rewrite174.0ms

Algorithm

rewrite-expression-head

Rules

40×	`*-un-lft-identity`
32×	`add-exp-log` `add-sqr-sqrt`
26×	`times-frac`
23×	`add-cube-cbrt`
20×	`add-cbrt-cube`
19×	`associate-r`
13×	`prod-exp`
12×	`pow1`
8×	`associate-l`
7×	`cbrt-unprod` `distribute-lft-out`
6×	`associate-*r/` `div-exp` `add-log-exp`
4×	`frac-times` `flip3--` `pow-prod-down` `associate-/r*` `associate-/r/` `un-div-inv` `flip--`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-/l*` `unswap-sqr`
2×	`flip3-+` `associate-l/` `-commutative` `flip-+` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `clear-num` `distribute-lft-out--` `inv-pow` `difference-of-squares`

Counts

4 → 122

Calls

4 calls:

86.0ms	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
25.0ms	(/ 1 (+ y 1.0))
42.0ms	(* y (/ 1 (+ y 1.0)))
12.0ms	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

series199.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (- 1.0 x) (* y (/ 1 (+ y 1.0))))
24.0ms	(/ 1 (+ y 1.0))
38.0ms	(* y (/ 1 (+ y 1.0)))
86.0ms	(- 1.0 (* (- 1.0 x) (* y (/ 1 (+ y 1.0)))))

simplify46.0ms

Counts: 134 → 134

prune322.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ 1 y) (/ x y))
0.0b	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt`
18×	`*-un-lft-identity`
14×	`times-frac`
6×	`add-log-exp` `difference-of-squares`
5×	`div-inv` `distribute-lft-out--`
4×	`add-cube-cbrt` `associate-+l+`
3×	`sub-neg` `distribute-rgt-out--`
2×	`pow1` `add-exp-log` `distribute-rgt-in` `distribute-lft-in` `add-cbrt-cube`
1×	`+-commutative` `flip3--` `flip3-+` `diff-log` `sum-log` `frac-sub` `flip--` `flip-+` `sub-div`

Counts

2 → 43

Calls

2 calls:

38.0ms	(- (/ 1 y) (/ x y))
49.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)

series92.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(- (/ 1 y) (/ x y))
52.0ms	(+ (* 1.0 (- (/ 1 y) (/ x y))) x)

simplify80.0ms

Counts: 49 → 49

prune112.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.1b

regimes86.0ms

Accuracy

100% (0.0b remaining)

Error of 0.2b against oracle of 0.2b and baseline of 14.4b

bsearch95.0ms

Steps

Iters	Range		Point
9	6884452.324493753	1848124645084217.8	176788432.60686103
9	-186345010136707.7	-3592450.023809973	-99997189.22729729

simplify72.0ms

end0.0ms

sample1.5s

Algorithm

intervals

Results

840.0ms	6103×	body	80	valid
118.0ms	704×	body	640	valid
107.0ms	528×	body	320	valid
76.0ms	369×	body	1280	valid
26.0ms	296×	body	160	valid