Details

sample40.0ms

Algorithm

intervals

Results

16.0ms	199×	body	80	valid
5.0ms	23×	body	640	valid
2.0ms	9×	body	1280	valid
2.0ms	16×	body	320	valid
1.0ms	9×	body	160	valid

simplify835.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 23.0b

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)))
8.9b	(/ (* (- 1.0 x) y) (+ y 1.0))

rewrite105.0ms

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:

31.0ms	(* (- 1.0 x) y)
33.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
39.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

series193.0ms

Counts

3 → 9

Calls

3 calls:

40.0ms	(* (- 1.0 x) y)
90.0ms	(- 1.0 (/ (* (- 1.0 x) y) (+ y 1.0)))
64.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))

simplify610.0ms

Counts: 72 → 72

prune160.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

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:

12.0ms	(/ y (+ y 1.0))
51.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
6.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

series224.0ms

Counts

3 → 9

Calls

3 calls:

55.0ms	(/ y (+ y 1.0))
66.0ms	(* (- 1.0 x) (/ y (+ y 1.0)))
104.0ms	(- 1.0 (* (- 1.0 x) (/ y (+ y 1.0))))

simplify865.0ms

Counts: 97 → 97

prune285.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.9b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.9b	(/ (* (- 1.0 x) y) (+ y 1.0))
11.5b	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

rewrite166.0ms

Algorithm

rewrite-expression-head

Rules

42×	`*-un-lft-identity`
28×	`times-frac`
21×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`associate-/r*`
11×	`distribute-lft-out`
8×	`associate-/r/` `associate-/l/`
7×	`cbrt-undiv` `div-exp` `associate-/l*`
6×	`associate-*l/`
5×	`difference-of-squares`
4×	`pow1` `flip3--` `frac-2neg` `flip3-+` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
1×	`div-sub`

Counts

4 → 122

Calls

4 calls:

34.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
24.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
24.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
76.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

series751.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
65.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
50.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
576.0ms	(/ (- (* 1.0 1.0) (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0)))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

simplify759.0ms

Counts: 134 → 134

prune329.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize30.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.9b	(/ (* (- 1.0 x) y) (+ y 1.0))
8.9b	(/ (* (- 1.0 x) y) (+ y 1.0))
11.5b	(/ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log` `add-cbrt-cube`
28×	`cbrt-undiv` `*-un-lft-identity` `div-exp`
18×	`prod-exp` `cbrt-unprod`
16×	`times-frac` `associate-/r*`
12×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`associate-/l/`
8×	`associate-/r/` `distribute-lft-out`
7×	`associate-*l/`
4×	`pow1` `frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv` `associate-/l*` `add-log-exp`
3×	`flip3--` `flip--`
1×	`frac-times` `associate-*r/`

Counts

4 → 125

Calls

4 calls:

26.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
33.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
25.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
110.0ms	(/ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

series862.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
61.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
64.0ms	(/ (* (- 1.0 x) y) (+ y 1.0))
685.0ms	(/ (* (/ (* (- 1.0 x) y) (+ y 1.0)) (/ (* (- 1.0 x) y) (+ y 1.0))) (+ 1.0 (/ (* (- 1.0 x) y) (+ y 1.0))))

simplify955.0ms

Counts: 137 → 137

prune299.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

regimes141.0ms

Accuracy

99.3% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 14.1b

bsearch1.0ms

simplify1.1s

end0.0ms

sample922.0ms

Algorithm

intervals

Results

308.0ms	6137×	body	80	valid
147.0ms	753×	body	640	valid
97.0ms	372×	body	1280	valid
51.0ms	471×	body	320	valid
51.0ms	267×	body	160	valid