Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify15.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
2	12
1	11
0	7

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

60×	`*-un-lft-identity`
35×	`times-frac`
30×	`add-sqr-sqrt`
22×	`add-cube-cbrt`
11×	`distribute-lft-out`
9×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3-+` `div-exp` `flip-+` `div-inv`
1×	`+-commutative` `sum-log` `flip3--` `frac-add` `flip--`

Counts

3 → 87

Calls

3 calls:

13.0ms	(/ x (+ x 1.0))
9.0ms	(/ 1.0 (- x 1.0))
58.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series254.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(/ x (+ x 1.0))
40.0ms	(/ 1.0 (- x 1.0))
162.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify910.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	5002
2	1646
1	411
0	169

prune396.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
0.0b	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite270.0ms

Algorithm

rewrite-expression-head

Rules

204×	`*-un-lft-identity`
167×	`times-frac`
158×	`add-sqr-sqrt`
90×	`add-cube-cbrt`
51×	`swap-sqr`
39×	`associate-r` `associate-l`
30×	`add-cbrt-cube` `add-exp-log`
29×	`distribute-lft-out--`
20×	`distribute-lft-out` `difference-of-squares`
18×	`pow1` `associate-/r/`
9×	`cbrt-undiv` `div-exp` `div-inv`
8×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`flip3--` `flip--` `add-log-exp`
5×	`associate-/r*`
4×	`flip3-+` `flip-+`
3×	`associate-/l*`
2×	`pow2` `frac-times` `pow-plus` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`clear-num` `sub-neg` `frac-2neg` `diff-log` `frac-sub`

Counts

4 → 244

Calls

4 calls:

11.0ms	(/ 1.0 (- x 1.0))
98.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
85.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
64.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series296.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(/ 1.0 (- x 1.0))
121.0ms	(- (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
60.0ms	(* (/ x (+ x 1.0)) (/ x (+ x 1.0)))
64.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify1.1s

Counts

256 → 256

Iterations

Iter	Nodes
done	5001
1	1181
0	334

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

266×	`*-un-lft-identity`
96×	`times-frac`
90×	`frac-times`
80×	`distribute-lft-out`
63×	`cbrt-div`
58×	`flip3-+` `frac-add` `flip-+`
30×	`associate-*l/`
24×	`distribute-lft-out--`
22×	`swap-sqr`
18×	`associate-*r/`
11×	`pow1`
10×	`add-sqr-sqrt`
8×	`associate-r` `associate-l` `add-cube-cbrt` `add-log-exp`
6×	`add-cbrt-cube` `add-exp-log`
2×	`+-commutative` `sum-log`
1×	`cbrt-prod` `pow2` `distribute-rgt-in` `distribute-lft-in` `pow-plus` `pow1/3` `pow3` `pow-prod-down` `prod-exp` `pow-sqr` `*-commutative` `pow-prod-up` `rem-cbrt-cube` `cbrt-unprod` `unswap-sqr`

Counts

4 → 178

Calls

4 calls:

79.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
62.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
485.0ms	(* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
565.0ms	(cbrt (* (* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))

series801.0ms

Counts

4 → 12

Calls

4 calls:

171.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
162.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
235.0ms	(* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
232.0ms	(cbrt (* (* (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))) (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))))

simplify2.0s

Counts

190 → 190

Iterations

Iter	Nodes
done	5000
1	1151
0	318

prune821.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	12
1	12
0	11

end0.0ms

sample630.0ms

Algorithm

intervals

Results

480.0ms

8000×

body

valid