Details

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify4.0ms

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))

rewrite12.0ms

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:

10.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify1.3s

Counts

48 → 48

Iterations

Useful iterations: 3 (248.0ms)

Iter	Nodes	Cost
0	91	630
1	206	607
2	621	569
3	2564	560
done	5000	560

prune75.0ms

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)

rewrite46.0ms

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:

10.0ms	(/ (+ x 1.0) (- 1.0 x))
12.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
12.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series120.0ms

Counts

3 → 9

Calls

3 calls:

31.0ms	(/ (+ x 1.0) (- 1.0 x))
35.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
54.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify929.0ms

Counts

194 → 194

Iterations

Useful iterations: done (920.0ms)

Iter	Nodes	Cost
0	202	3461
1	564	2893
2	2217	2647
done	5001	2641

prune234.0ms

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)))

rewrite33.0ms

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:

16.0ms	(* (- 1.0 x) (- x 1.0))
14.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

series91.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (- 1.0 x) (- x 1.0))
62.0ms	(/ (- (* x x) (* 1.0 1.0)) (* (- 1.0 x) (- x 1.0)))

simplify618.0ms

Counts

74 → 74

Iterations

Useful iterations: done (616.0ms)

Iter	Nodes	Cost
0	140	1215
1	405	1181
2	2022	911
done	5000	887

prune127.0ms

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))
0.1b	(/ (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
14.8b	(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))
15.8b	(* (/ (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (+ 1.0 x) (+ x 1.0)))

rewrite135.0ms

Algorithm

rewrite-expression-head

Rules

336×	`times-frac`
319×	`*-un-lft-identity`
145×	`add-sqr-sqrt`
143×	`add-cube-cbrt`
98×	`associate-l`
88×	`distribute-lft-out`
41×	`difference-of-squares`
34×	`add-exp-log` `add-cbrt-cube`
26×	`associate-/l*`
24×	`associate-/r/`
21×	`flip3-+` `flip-+`
20×	`frac-times`
14×	`associate-*r/`
12×	`div-inv`
11×	`pow1`
10×	`cbrt-undiv` `flip3--` `div-exp` `prod-exp` `flip--` `cbrt-unprod`
8×	`associate-/r*`
7×	`associate-*l/`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`pow-prod-down` `add-log-exp`
3×	`associate-/l/`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`unswap-sqr`

Counts

4 → 339

Calls

4 calls:

15.0ms	(* (+ 1.0 x) (+ x 1.0))
23.0ms	(/ (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
10.0ms	(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))
68.0ms	(* (/ (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (+ 1.0 x) (+ x 1.0)))

series145.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(* (+ 1.0 x) (+ x 1.0))
45.0ms	(/ (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0))
33.0ms	(/ (+ x 1.0) (- (* 1.0 1.0) (* x x)))
49.0ms	(* (/ (/ (+ x 1.0) (- (* 1.0 1.0) (* x x))) (+ x 1.0)) (* (+ 1.0 x) (+ x 1.0)))

simplify437.0ms

Counts

351 → 351

Iterations

Useful iterations: done (426.0ms)

Iter	Nodes	Cost
0	409	8783
1	1296	8525
done	5000	8495

prune633.0ms

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

sample205.0ms

Algorithm

intervals

Results

123.0ms

8000×

body

valid