Details

sample10.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

11.0ms

(/ (+ x 1.0) (- 1.0 x))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify2.0s

Counts

48 → 48

Iterations

Useful iterations: 3 (244.0ms)

Iter	Nodes	Cost
0	91	630
1	206	607
2	532	569
3	1288	560
4	3472	560
done	5001	560

prune74.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
0.1b	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

11.0ms	(/ (+ x 1.0) (- 1.0 x))
14.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
15.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series124.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(/ (+ x 1.0) (- 1.0 x))
31.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
57.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify604.0ms

Counts

194 → 194

Iterations

Useful iterations: done (598.0ms)

Iter	Nodes	Cost
0	202	3461
1	542	2893
2	1714	2647
done	5000	2641

prune232.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (- 1.0 x) (- x 1.0))
15.7b	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 68

Calls

2 calls:

17.0ms	(* (- 1.0 x) (- x 1.0))
13.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series97.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(* (- 1.0 x) (- x 1.0))
65.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify614.0ms

Counts

74 → 74

Iterations

Useful iterations: done (611.0ms)

Iter	Nodes	Cost
0	140	1215
1	401	1181
2	1829	911
done	5001	887

prune139.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- 1.0 x) (+ x 1.0))
0.0b	(* (+ 1.0 x) (+ x 1.0))
0.4b	(/ (/ (+ x 1.0) (+ x 1.0)) (* (- 1.0 x) (+ x 1.0)))
15.8b	(* (/ (/ (+ x 1.0) (+ x 1.0)) (* (- 1.0 x) (+ x 1.0))) (* (+ 1.0 x) (+ x 1.0)))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

92×	`*-un-lft-identity` `times-frac`
61×	`add-exp-log` `add-cbrt-cube`
43×	`associate-l`
42×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
32×	`frac-times`
30×	`flip3-+` `flip-+`
27×	`distribute-lft-out`
23×	`prod-exp` `cbrt-unprod`
22×	`associate-/r/` `associate-/l*`
20×	`associate-*r/`
18×	`cbrt-undiv` `div-exp`
13×	`pow1` `associate-*l/`
9×	`flip3--` `associate-r` `flip--`
6×	`distribute-rgt-in` `distribute-lft-in`
5×	`pow-prod-down` `div-inv`
4×	`add-log-exp`
3×	`*-commutative`
2×	`unswap-sqr`
1×	`frac-2neg` `clear-num` `associate-/r*` `associate-/l/` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 219

Calls

4 calls:

17.0ms	(* (- 1.0 x) (+ x 1.0))
17.0ms	(* (+ 1.0 x) (+ x 1.0))
26.0ms	(/ (/ (+ x 1.0) (+ x 1.0)) (* (- 1.0 x) (+ x 1.0)))
74.0ms	(* (/ (/ (+ x 1.0) (+ x 1.0)) (* (- 1.0 x) (+ x 1.0))) (* (+ 1.0 x) (+ x 1.0)))

series179.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* (- 1.0 x) (+ x 1.0))
22.0ms	(* (+ 1.0 x) (+ x 1.0))
58.0ms	(/ (/ (+ x 1.0) (+ x 1.0)) (* (- 1.0 x) (+ x 1.0)))
37.0ms	(* (/ (/ (+ x 1.0) (+ x 1.0)) (* (- 1.0 x) (+ x 1.0))) (* (+ 1.0 x) (+ x 1.0)))

simplify715.0ms

Counts

231 → 231

Iterations

Useful iterations: done (708.0ms)

Iter	Nodes	Cost
0	324	5139
1	1061	3742
done	5000	2757

prune439.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
done	6	7

end0.0ms

sample222.0ms

Algorithm

intervals

Results

135.0ms

8000×

body

valid