Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

256×

body

valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	11	11
2	12	11
done	12	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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)))

rewrite113.0ms

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-exp-log` `add-cbrt-cube`
6×	`associate-/l*` `distribute-lft-out--`
5×	`add-log-exp`
4×	`associate-/r/` `difference-of-squares`
3×	`pow1`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`
1×	`+-commutative` `flip3--` `frac-add` `sum-log` `flip--`

Counts

3 → 87

Calls

3 calls:

12.0ms	(/ x (+ x 1.0))
12.0ms	(/ 1.0 (- x 1.0))
86.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series258.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ x (+ x 1.0))
31.0ms	(/ 1.0 (- x 1.0))
170.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify959.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (335.0ms)

Iter	Nodes	Cost
0	169	1135
1	410	1064
2	1643	998
done	5002	998

prune255.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
0.0b	(pow (/ x (+ x 1.0)) 3)
0.2b	(pow (/ 1.0 (- x 1.0)) 3)
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

rewrite480.0ms

Algorithm

rewrite-expression-head

Rules

183×	`*-un-lft-identity`
155×	`times-frac`
154×	`add-sqr-sqrt`
89×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod` `associate-l`
33×	`associate-r`
31×	`distribute-lft-out--`
27×	`add-exp-log` `swap-sqr` `add-cbrt-cube`
22×	`difference-of-squares`
18×	`associate-/r/`
15×	`pow1`
11×	`distribute-lft-out`
9×	`div-inv`
8×	`flip3--` `flip--`
7×	`cbrt-undiv` `div-exp`
6×	`pow-unpow` `prod-exp` `cbrt-unprod` `unswap-sqr`
4×	`frac-times` `associate-*r/` `pow-exp` `add-log-exp` `rem-cube-cbrt`
3×	`flip3-+` `flip-+`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `distribute-lft-in` `unpow3` `pow-prod-down` `associate-l/` `-commutative` `frac-sub` `sqr-pow`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 271

Calls

4 calls:

362.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
13.0ms	(pow (/ x (+ x 1.0)) 3)
14.0ms	(pow (/ 1.0 (- x 1.0)) 3)
76.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

series377.0ms

Counts

4 → 12

Calls

4 calls:

165.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
78.0ms	(pow (/ x (+ x 1.0)) 3)
72.0ms	(pow (/ 1.0 (- x 1.0)) 3)
61.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))

simplify810.0ms

Counts

283 → 283

Iterations

Useful iterations: done (794.0ms)

Iter	Nodes	Cost
0	390	4913
1	1612	4405
done	5000	4003

prune893.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b	(pow (/ x (+ x 1.0)) 3)
0.2b	(pow (/ 1.0 (- x 1.0)) 3)
0.2b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
3.8b	(log (exp (* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

147×	`*-un-lft-identity`
130×	`times-frac`
129×	`add-sqr-sqrt`
81×	`add-cube-cbrt`
39×	`unpow-prod-down` `cube-prod`
27×	`swap-sqr`
24×	`distribute-lft-out--`
22×	`add-exp-log` `add-cbrt-cube`
21×	`associate-r` `associate-l`
18×	`difference-of-squares`
16×	`associate-/r/`
14×	`pow1`
8×	`div-inv`
7×	`log-prod`
6×	`cbrt-undiv` `pow-unpow` `flip3--` `div-exp` `flip--` `distribute-lft-out`
5×	`add-log-exp`
4×	`exp-sum` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `unswap-sqr`
3×	`log-pow`
2×	`cube-div` `distribute-rgt-in` `cube-mult` `pow-to-exp` `sub-neg` `pow-pow` `distribute-lft-in` `flip3-+` `unpow3` `flip-+` `sqr-pow`
1×	`pow2` `frac-times` `exp-prod` `exp-to-pow` `pow-plus` `associate-r/` `rem-log-exp` `pow-prod-down` `associate-l/` `pow-sqr` `*-commutative` `pow-prod-up`

Counts

4 → 233

Calls

4 calls:

22.0ms	(pow (/ x (+ x 1.0)) 3)
24.0ms	(pow (/ 1.0 (- x 1.0)) 3)
77.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
42.0ms	(log (exp (* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))))

series375.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(pow (/ x (+ x 1.0)) 3)
69.0ms	(pow (/ 1.0 (- x 1.0)) 3)
47.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
171.0ms	(log (exp (* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))))

simplify868.0ms

Counts

245 → 245

Iterations

Useful iterations: done (857.0ms)

Iter	Nodes	Cost
0	346	4158
1	1406	3656
done	5001	3246

prune821.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	45
1	19	45
done	19	45

end0.0ms

sample534.0ms

Algorithm

intervals

Results

368.0ms

8000×

body

valid