Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

256×

body

valid

simplify6.0ms

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

localize10.0ms

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)))

rewrite135.0ms

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))
107.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series250.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1.0 (- x 1.0))
48.0ms	(/ x (+ x 1.0))
162.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify980.0ms

Counts

96 → 96

Iterations

Useful iterations: 2 (356.0ms)

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

prune218.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite381.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
43×	`times-frac`
32×	`add-sqr-sqrt`
24×	`add-cube-cbrt`
18×	`distribute-lft-out`
9×	`associate-/r*` `add-log-exp`
8×	`add-exp-log` `exp-prod` `add-cbrt-cube` `distribute-lft-out--`
6×	`associate-/l*`
4×	`pow1` `associate-/r/` `difference-of-squares`
2×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `sum-log` `flip-+` `div-inv` `rem-exp-log`
1×	`+-commutative` `flip3--` `exp-sum` `frac-add` `flip--`

Counts

4 → 105

Calls

4 calls:

279.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
11.0ms	(/ 1.0 (- x 1.0))
11.0ms	(/ x (+ x 1.0))
72.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

series496.0ms

Counts

4 → 12

Calls

4 calls:

277.0ms	(exp (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))))
33.0ms	(/ 1.0 (- x 1.0))
40.0ms	(/ x (+ x 1.0))
146.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))

simplify1.1s

Counts

117 → 117

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	198	1393
1	478	1305
2	1971	1214
done	5001	1213

prune330.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize16.0ms

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

rewrite361.0ms

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:

133.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
12.0ms	(/ x (+ x 1.0))
70.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
138.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

series568.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(cbrt (pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3))
49.0ms	(/ x (+ x 1.0))
137.0ms	(+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0)))
228.0ms	(pow (+ (/ 1.0 (- x 1.0)) (/ x (+ x 1.0))) 3)

simplify1.8s

Counts

132 → 132

Iterations

Useful iterations: 2 (519.0ms)

Iter	Nodes	Cost
0	180	2398
1	533	2060
2	2803	1864
done	5000	1864

prune287.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes33.0ms

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	9	13
1	11	13
done	11	13

end0.0ms

sample593.0ms

Algorithm

intervals

Results

414.0ms

8000×

body

valid