Details

sample24.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify10.0ms

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

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite117.0ms

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:

11.0ms	(/ 1.0 (- x 1.0))
13.0ms	(/ x (+ x 1.0))
89.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

43.0ms	(/ 1.0 (- x 1.0))
65.0ms	(/ x (+ x 1.0))
173.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify841.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (363.0ms)

Iter	Nodes	Cost
0	169	1135
1	410	1064
2	1658	998
done	5000	998

prune177.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize39.0ms

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)
0.1b	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
0.2b	(pow (/ 1.0 (- x 1.0)) 3)

rewrite453.0ms

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:

321.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
14.0ms	(pow (/ x (+ x 1.0)) 3)
67.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
26.0ms	(pow (/ 1.0 (- x 1.0)) 3)

series359.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(* (/ x (+ x 1.0)) (- (/ x (+ x 1.0)) (/ 1.0 (- x 1.0))))
90.0ms	(pow (/ x (+ x 1.0)) 3)
59.0ms	(* (/ 1.0 (- x 1.0)) (/ 1.0 (- x 1.0)))
72.0ms	(pow (/ 1.0 (- x 1.0)) 3)

simplify833.0ms

Counts

283 → 283

Iterations

Useful iterations: done (821.0ms)

Iter	Nodes	Cost
0	390	4913
1	1617	4405
done	5001	3975

prune921.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite343.0ms

Algorithm

rewrite-expression-head

Rules

137×	`*-un-lft-identity`
52×	`times-frac`
39×	`distribute-lft-out`
22×	`cbrt-prod`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`unpow-prod-down` `cube-prod`
10×	`distribute-lft-out--`
7×	`add-exp-log` `add-cbrt-cube`
6×	`cube-div` `add-log-exp`
5×	`pow1`
4×	`flip3-+` `associate-/r*` `flip-+`
3×	`pow-unpow` `cbrt-div` `frac-add` `associate-/l*`
2×	`cube-mult` `unpow3` `associate-/r/` `sqr-pow`
1×	`cbrt-undiv` `+-commutative` `pow-to-exp` `pow-pow` `frac-2neg` `pow1/3` `div-exp` `pow-exp` `clear-num` `sum-log` `rem-cbrt-cube` `div-inv` `rem-cube-cbrt`

Counts

4 → 120

Calls

4 calls:

124.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
16.0ms	(/ x (+ x 1.0))
127.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
71.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series639.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
38.0ms	(/ x (+ x 1.0))
251.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)
157.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.6s

Counts

132 → 132

Iterations

Useful iterations: 2 (456.0ms)

Iter	Nodes	Cost
0	180	2398
1	533	2060
2	2818	1864
done	5000	1864

prune277.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes32.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample607.0ms

Algorithm

intervals

Results

420.0ms

8000×

body

valid