Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

256×

body

valid

simplify7.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	8	7
2	9	7
done	9	7

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

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

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
22×	`add-sqr-sqrt`
20×	`times-frac`
12×	`add-cube-cbrt`
6×	`distribute-lft-out`
5×	`associate-/r*` `distribute-lft-out--` `difference-of-squares`
4×	`associate-/l*`
3×	`add-exp-log` `add-cbrt-cube`
2×	`associate-/r/` `associate-/l/`
1×	`pow1` `cbrt-undiv` `flip3--` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip--` `flip-+` `div-inv` `add-log-exp`

Counts

1 → 45

Calls

1 calls:

77.0ms

(/ (+ x 1.0) (- 1.0 x))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(/ (+ x 1.0) (- 1.0 x))

simplify1.5s

Counts

48 → 48

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	91	630
1	211	607
2	834	569
done	5000	562

prune179.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (- 1.0 x) (+ x 1.0))
0.0b	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

rewrite496.0ms

Algorithm

rewrite-expression-head

Rules

178×	`times-frac`
174×	`*-un-lft-identity`
122×	`add-sqr-sqrt`
80×	`add-cube-cbrt`
30×	`associate-/r*`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
15×	`add-exp-log`
11×	`associate-/r/`
9×	`add-cbrt-cube`
8×	`div-exp` `associate-/l*`
6×	`div-inv`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv`
3×	`pow1`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/` `add-log-exp`
1×	`flip3--` `pow-flip` `div-sub` `flip--` `inv-pow`

Counts

2 → 174

Calls

2 calls:

52.0ms	(/ (- 1.0 x) (+ x 1.0))
389.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

series882.0ms

Counts

2 → 6

Calls

2 calls:

147.0ms	(/ (- 1.0 x) (+ x 1.0))
730.0ms	(/ 1 (/ (- 1.0 x) (+ x 1.0)))

simplify7.8s

Counts

180 → 180

Iterations

Useful iterations: done (7.5s)

Iter	Nodes	Cost
0	228	3040
1	608	2599
2	3601	2495
done	5002	2442

prune1.6s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 3 expressions with local error:

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

rewrite593.0ms

Algorithm

rewrite-expression-head

Rules

150×	`*-un-lft-identity`
100×	`times-frac`
98×	`add-sqr-sqrt`
58×	`cbrt-prod`
56×	`add-cube-cbrt`
52×	`unpow-prod-down` `cube-prod`
26×	`distribute-lft-out`
21×	`distribute-lft-out--` `difference-of-squares`
10×	`associate-/r/`
8×	`add-exp-log` `add-cbrt-cube`
5×	`flip3--` `associate-/r*` `flip--` `div-inv`
4×	`pow1` `associate-/l*`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `cube-div` `cube-mult` `unpow3` `div-exp` `pow-exp` `associate-/l/` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `pow1/3` `clear-num` `rem-cbrt-cube` `flip-+`

Counts

3 → 185

Calls

3 calls:

369.0ms	(/ (+ x 1.0) (- 1.0 x))
41.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
91.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

series606.0ms

Counts

3 → 9

Calls

3 calls:

78.0ms	(/ (+ x 1.0) (- 1.0 x))
128.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 3))
399.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 3)

simplify9.3s

Counts

194 → 194

Iterations

Useful iterations: 2 (3.8s)

Iter	Nodes	Cost
0	202	3461
1	698	2907
2	3885	2677
done	5000	2677

prune1.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ x 1.0) (- 1.0 x))
0.0b	(cbrt (/ (+ x 1.0) (- 1.0 x)))
0.0b	(pow (/ (+ x 1.0) (- 1.0 x)) 2)
0.0b	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 2))

rewrite339.0ms

Algorithm

rewrite-expression-head

Rules

123×	`*-un-lft-identity`
81×	`add-sqr-sqrt`
80×	`times-frac`
57×	`cbrt-prod`
52×	`unpow-prod-down`
47×	`add-cube-cbrt`
21×	`distribute-lft-out`
17×	`distribute-lft-out--` `difference-of-squares`
9×	`add-exp-log`
8×	`associate-/r/`
6×	`add-cbrt-cube`
5×	`pow1` `associate-/r*`
4×	`flip3--` `flip--` `div-inv` `associate-/l*` `add-log-exp`
3×	`pow-unpow`
2×	`pow1/3` `div-exp` `pow-exp` `associate-/l/` `unpow2` `sqr-pow`
1×	`cbrt-undiv` `pow-to-exp` `cbrt-div` `pow-pow` `frac-2neg` `flip3-+` `clear-num` `flip-+`

Counts

4 → 161

Calls

4 calls:

94.0ms	(/ (+ x 1.0) (- 1.0 x))
42.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
80.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 2)
66.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 2))

series1.5s

Counts

4 → 12

Calls

4 calls:

57.0ms	(/ (+ x 1.0) (- 1.0 x))
465.0ms	(cbrt (/ (+ x 1.0) (- 1.0 x)))
135.0ms	(pow (/ (+ x 1.0) (- 1.0 x)) 2)
809.0ms	(cbrt (pow (/ (+ x 1.0) (- 1.0 x)) 2))

simplify7.1s

Counts

173 → 173

Iterations

Useful iterations: done (7.0s)

Iter	Nodes	Cost
0	272	2938
1	718	2710
2	2747	2573
done	5003	2542

prune3.3s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes155.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify14.0ms

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	5	7
1	6	7
done	6	7

end3.0ms

sample1.6s

Algorithm

intervals

Results

1.3s

8000×

body

valid