Details

sample19.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	7
2	7
1	6
0	4

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (- 1.0 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

11.0ms

(/ x (- 1.0 x))

series55.0ms

Counts

1 → 3

Calls

1 calls:

55.0ms

(/ x (- 1.0 x))

simplify1.6s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	3609
2	671
1	178
0	83

prune95.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1.0 x))
0.1b	(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
0.1b	(/ 1 (sqrt (- 1.0 x)))
0.1b	(/ x (sqrt (- 1.0 x)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

146×	`add-sqr-sqrt`
118×	`times-frac`
105×	`*-un-lft-identity`
86×	`sqrt-prod`
69×	`add-cube-cbrt`
32×	`add-exp-log`
30×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
16×	`associate-/r*`
15×	`distribute-lft-out--` `difference-of-squares` `unswap-sqr`
11×	`div-exp`
10×	`sqrt-div`
9×	`pow1`
8×	`prod-exp` `associate-/r/`
6×	`cbrt-undiv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-unprod` `insert-posit16` `div-inv` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2`
1×	`frac-times` `rem-sqrt-square` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `inv-pow`

Counts

4 → 224

Calls

4 calls:

4.0ms	(sqrt (- 1.0 x))
37.0ms	(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
9.0ms	(/ 1 (sqrt (- 1.0 x)))
9.0ms	(/ x (sqrt (- 1.0 x)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(sqrt (- 1.0 x))
42.0ms	(* (/ 1 (sqrt (- 1.0 x))) (/ x (sqrt (- 1.0 x))))
70.0ms	(/ 1 (sqrt (- 1.0 x)))
138.0ms	(/ x (sqrt (- 1.0 x)))

simplify675.0ms

Counts

236 → 236

Iterations

Iter	Nodes
done	5000
1	765
0	274

prune618.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ x (- 1.0 x))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity`
15×	`times-frac`
11×	`add-cube-cbrt`
5×	`associate-/r*`
4×	`distribute-lft-out--` `difference-of-squares`
3×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `insert-posit16` `div-inv` `flip--` `add-log-exp`

Counts

1 → 38

Calls

1 calls:

14.0ms

(/ x (- 1.0 x))

series48.0ms

Counts

1 → 3

Calls

1 calls:

48.0ms

(/ x (- 1.0 x))

simplify1.8s

Counts

41 → 41

Iterations

Iter	Nodes
done	5000
3	3609
2	671
1	178
0	83

prune124.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite197.0ms

Algorithm

rewrite-expression-head

Rules

612×	`times-frac`
386×	`add-sqr-sqrt`
356×	`*-un-lft-identity`
313×	`sqrt-prod`
252×	`add-cube-cbrt`
202×	`associate-l`
152×	`sqrt-div`
148×	`associate-/r/`
78×	`frac-times`
59×	`flip3-+` `flip3--` `flip-+` `flip--`
50×	`distribute-lft-out--` `difference-of-squares`
40×	`associate-*r/`
39×	`associate-*l/`
27×	`associate-/l*`
22×	`add-cbrt-cube` `add-exp-log`
20×	`div-inv`
12×	`associate-/r` `associate-r*`
11×	`unswap-sqr`
8×	`pow1`
7×	`cbrt-undiv` `div-exp`
4×	`prod-exp` `cbrt-unprod` `insert-posit16` `add-log-exp`
2×	`distribute-rgt-in` `clear-num` `sub-neg` `frac-2neg` `distribute-lft-in` `pow-prod-down` `*-commutative` `distribute-lft-out`
1×	`associate-/l/`

Counts

4 → 552

Calls

4 calls:

14.0ms	(/ x (sqrt (* (+ 1.0 x) (- 1.0 x))))
36.0ms	(/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x)))
98.0ms	(* (/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))
33.0ms	(* (+ 1.0 x) (- 1.0 x))

series567.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(/ x (sqrt (* (+ 1.0 x) (- 1.0 x))))
172.0ms	(/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x)))
50.0ms	(* (/ (/ x (sqrt (* (+ 1.0 x) (- 1.0 x)))) (sqrt (- 1.0 x))) (sqrt (+ 1.0 x)))
101.0ms	(* (+ 1.0 x) (- 1.0 x))

simplify1.5s

Counts

564 → 564

Iterations

Iter	Nodes
done	5001
1	1757
0	676

prune2.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	4
0	4

end0.0ms

sample383.0ms

Algorithm

intervals

Results

280.0ms

8000×

body

valid