Details

sample43.0ms

Algorithm

intervals

Results

19.0ms

342×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
27	4892
26	4724
25	4538
24	4371
23	4185
22	4017
21	3831
20	3664
19	3478
18	3310
17	3124
16	2935
15	2735
14	2563
13	2357
12	1964
11	1245
10	808
9	546
8	311
7	187
6	124
5	87
4	70
3	55
2	39
1	20
0	9

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b	(/ (- (+ x y) z) (* t 2.0))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

13×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`times-frac` `add-cbrt-cube` `add-exp-log` `associate-/l*`
4×	`distribute-lft-out--`
3×	`add-cube-cbrt`
2×	`cbrt-undiv` `div-exp` `distribute-lft-out` `difference-of-squares` `associate-/l/`
1×	`expm1-log1p-u` `pow1` `clear-num` `associate-/r*` `frac-2neg` `flip3--` `div-sub` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

80.0ms

(/ (- (+ x y) z) (* t 2.0))

series52.0ms

Counts

1 → 3

Calls

1 calls:

52.0ms

(/ (- (+ x y) z) (* t 2.0))

simplify1.9s

Counts

35 → 35

Iterations

Iter	Nodes
done	5014
3	3256
2	698
1	206
0	80

prune154.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
0.0b	(/ (+ x y) (* t 2.0))

rewrite120.0ms

Algorithm

rewrite-expression-head

Rules

64×	`times-frac`
63×	`*-un-lft-identity`
56×	`prod-diff`
38×	`add-sqr-sqrt`
36×	`add-cube-cbrt`
19×	`div-inv`
11×	`distribute-lft-out`
8×	`fma-neg`
7×	`add-cbrt-cube` `add-exp-log`
4×	`associate-/l*` `add-log-exp`
3×	`distribute-lft-out--`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u` `associate-/l/`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `flip3-+` `flip3--` `distribute-rgt-out--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip-+` `flip--` `sub-div` `difference-of-squares`

Counts

2 → 112

Calls

2 calls:

95.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
21.0ms	(/ (+ x y) (* t 2.0))

series115.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(- (/ (+ x y) (* t 2.0)) (/ z (* t 2.0)))
50.0ms	(/ (+ x y) (* t 2.0))

simplify1.6s

Counts

118 → 118

Iterations

Iter	Nodes
done	5001
2	1324
1	476
0	187

prune695.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* t 2.0) (+ x y))
0.0b	(- (/ 1 (/ (* t 2.0) (+ x y))) (/ z (* t 2.0)))
0.5b	(/ 1 (/ (* t 2.0) (+ x y)))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

493×	`times-frac`
294×	`*-un-lft-identity`
245×	`prod-diff`
237×	`add-sqr-sqrt`
230×	`add-cube-cbrt`
74×	`div-inv`
67×	`associate-/r/`
35×	`fma-neg`
30×	`distribute-lft-out`
29×	`flip3-+` `add-exp-log` `flip-+`
17×	`add-cbrt-cube`
14×	`associate-/r*` `div-exp`
7×	`cbrt-undiv`
5×	`add-log-exp`
4×	`pow1` `prod-exp` `associate-/l*`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `log1p-expm1-u` `difference-of-squares`
2×	`clear-num` `frac-2neg` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

3 → 397

Calls

3 calls:

21.0ms	(/ (* t 2.0) (+ x y))
120.0ms	(- (/ 1 (/ (* t 2.0) (+ x y))) (/ z (* t 2.0)))
16.0ms	(/ 1 (/ (* t 2.0) (+ x y)))

series157.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(/ (* t 2.0) (+ x y))
55.0ms	(- (/ 1 (/ (* t 2.0) (+ x y))) (/ z (* t 2.0)))
63.0ms	(/ 1 (/ (* t 2.0) (+ x y)))

simplify1.8s

Counts

406 → 406

Iterations

Iter	Nodes
done	5004
2	3075
1	1078
0	449

prune1.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (/ (* t 2.0) (+ x y)))
3.0b	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))
3.0b	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))
3.0b	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

172×	`times-frac`
105×	`cbrt-prod`
100×	`*-un-lft-identity`
74×	`add-sqr-sqrt` `add-cube-cbrt`
30×	`associate-/r/`
25×	`add-exp-log`
17×	`div-inv`
13×	`flip3-+` `add-cbrt-cube` `flip-+` `distribute-lft-out`
12×	`div-exp`
10×	`associate-/r*`
5×	`pow1` `cbrt-undiv`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `cbrt-div` `pow1/3` `1-exp` `prod-exp` `associate-/l*`
1×	`clear-num` `frac-2neg` `cbrt-unprod` `pow-flip` `inv-pow`

Counts

4 → 208

Calls

4 calls:

21.0ms	(/ 1 (/ (* t 2.0) (+ x y)))
23.0ms	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))
19.0ms	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))
18.0ms	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))

series723.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(/ 1 (/ (* t 2.0) (+ x y)))
206.0ms	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))
222.0ms	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))
237.0ms	(cbrt (/ 1 (/ (* t 2.0) (+ x y))))

simplify1.7s

Counts

220 → 220

Iterations

Iter	Nodes
done	5000
2	1637
1	484
0	231

prune1.3s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes470.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.1s

Algorithm

intervals

Results

569.0ms

10887×

body

valid