Details

sample33.0ms

Algorithm

intervals

Results

9.0ms	127×	body	80	valid
8.0ms	63×	body	640	valid
4.0ms	43×	body	320	valid
2.0ms	23×	body	160	valid

simplify9.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	12	11
2	15	11
done	15	11

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ 1.0 (- x 1.0))
0.0b	(/ 1.0 (+ x 1.0))
3.6b	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

rewrite160.0ms

Algorithm

rewrite-expression-head

Rules

84×	`*-un-lft-identity`
55×	`times-frac`
50×	`add-sqr-sqrt`
30×	`add-cube-cbrt`
25×	`distribute-lft-out--`
10×	`distribute-lft-out`
9×	`associate-/r*`
8×	`difference-of-squares`
7×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`div-inv`
3×	`pow1` `flip--`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip-+`
1×	`sub-neg` `flip3-+` `diff-log` `frac-sub`

Counts

3 → 102

Calls

3 calls:

19.0ms	(/ 1.0 (- x 1.0))
16.0ms	(/ 1.0 (+ x 1.0))
118.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

series302.0ms

Counts

3 → 9

Calls

3 calls:

41.0ms	(/ 1.0 (- x 1.0))
34.0ms	(/ 1.0 (+ x 1.0))
227.0ms	(- (/ 1.0 (+ x 1.0)) (/ 1.0 (- x 1.0)))

simplify797.0ms

Counts

111 → 111

Iterations

Useful iterations: 2 (322.0ms)

Iter	Nodes	Cost
0	175	1402
1	409	1325
2	1586	1259
done	5002	1259

prune227.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.2b	(/ 1.0 (- (* x x) (* 1.0 1.0)))
2.9b	(- (- x 1.0) (+ x 1.0))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 61

Calls

2 calls:

21.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
70.0ms	(- (- x 1.0) (+ x 1.0))

series67.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(/ 1.0 (- (* x x) (* 1.0 1.0)))
11.0ms	(- (- x 1.0) (+ x 1.0))

simplify1.1s

Counts

67 → 67

Iterations

Useful iterations: 2 (385.0ms)

Iter	Nodes	Cost
0	151	1007
1	419	958
2	2335	890
done	5000	890

prune209.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 33

Calls

1 calls:

16.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

series64.0ms

Counts

1 → 3

Calls

1 calls:

64.0ms

(/ 1.0 (- (* x x) (* 1.0 1.0)))

simplify758.0ms

Counts

36 → 36

Iterations

Useful iterations: done (756.0ms)

Iter	Nodes	Cost
0	88	565
1	216	546
2	1069	498
done	5001	492

prune96.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ 1.0 (+ x 1.0))
0.1b	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

174×	`times-frac`
160×	`*-un-lft-identity`
116×	`add-sqr-sqrt`
78×	`add-cube-cbrt`
22×	`distribute-lft-out`
21×	`associate-/l*`
19×	`distribute-lft-out--` `difference-of-squares`
16×	`associate-/r/`
9×	`add-exp-log` `associate-/r*` `add-cbrt-cube`
8×	`div-inv`
7×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
1×	`flip3--` `flip--` `associate-/l/`

Counts

2 → 163

Calls

2 calls:

17.0ms	(/ 1.0 (+ x 1.0))
51.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

series142.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(/ 1.0 (+ x 1.0))
100.0ms	(/ (/ 1.0 (+ x 1.0)) (- x 1.0))

simplify1.6s

Counts

169 → 169

Iterations

Useful iterations: 2 (635.0ms)

Iter	Nodes	Cost
0	245	2976
1	659	2778
2	3057	2692
done	5002	2692

prune437.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes20.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	17	12
3	20	12
4	22	12
done	22	12

end0.0ms

sample1.3s

Algorithm

intervals

Results

521.0ms	4181×	body	80	valid
288.0ms	1928×	body	640	valid
205.0ms	1285×	body	320	valid
78.0ms	606×	body	160	valid