Details

sample17.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ x (/ 1.0 3.0))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-un-lft-identity` `add-log-exp`
1×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `sum-log` `add-cbrt-cube` `flip-+` `distribute-lft-out`

Counts

1 → 12

Calls

1 calls:

27.0ms

(+ x (/ 1.0 3.0))

series30.0ms

Counts

1 → 3

Calls

1 calls:

30.0ms

(+ x (/ 1.0 3.0))

simplify2.5s

Counts

15 → 15

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	28	123
1	78	118
2	201	108
3	451	108
4	1190	108
5	2858	108
done	5001	108

prune26.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
12.2b	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-sqr-sqrt`
30×	`times-frac`
26×	`*-un-lft-identity`
19×	`difference-of-squares`
14×	`add-cube-cbrt`
6×	`associate-/r*` `distribute-lft-out--`
4×	`add-exp-log` `add-cbrt-cube` `associate-/l*` `add-log-exp`
3×	`flip3--` `flip--`
2×	`pow1` `associate-/r/` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `clear-num` `div-inv`

Counts

2 → 66

Calls

2 calls:

10.0ms	(- x (/ 1.0 3.0))
42.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

series152.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(- x (/ 1.0 3.0))
125.0ms	(/ (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (- x (/ 1.0 3.0)))

simplify2.2s

Counts

72 → 72

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	118	1600
1	289	1512
2	892	1286
3	3446	1264
done	5000	1170

prune245.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x x) (- x (/ 1.0 3.0))) (/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1)))
0.2b	(/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1))
0.3b	(/ x (/ 1.0 3.0))
12.3b	(/ (* x x) (- x (/ 1.0 3.0)))

rewrite566.0ms

Algorithm

rewrite-expression-head

Rules

513×	`times-frac`
482×	`add-sqr-sqrt`
236×	`*-un-lft-identity`
160×	`add-cube-cbrt`
94×	`difference-of-squares`
42×	`difference-of-sqr-1`
32×	`associate-/r*`
21×	`div-inv`
19×	`add-exp-log` `add-cbrt-cube`
17×	`associate-/l*` `distribute-lft-out--`
8×	`cbrt-undiv` `div-exp`
6×	`add-log-exp`
5×	`associate-/r/`
4×	`pow1`
3×	`flip3--` `frac-2neg` `clear-num` `flip--`
1×	`sub-neg` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `associate-/l/`

Counts

4 → 331

Calls

4 calls:

372.0ms	(- (/ (* x x) (- x (/ 1.0 3.0))) (/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1)))
97.0ms	(/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1))
18.0ms	(/ x (/ 1.0 3.0))
42.0ms	(/ (* x x) (- x (/ 1.0 3.0)))

series601.0ms

Counts

4 → 12

Calls

4 calls:

461.0ms	(- (/ (* x x) (- x (/ 1.0 3.0))) (/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1)))
55.0ms	(/ (/ 1.0 3.0) (- (/ x (/ 1.0 3.0)) 1))
26.0ms	(/ x (/ 1.0 3.0))
58.0ms	(/ (* x x) (- x (/ 1.0 3.0)))

simplify2.8s

Counts

343 → 343

Iterations

Useful iterations: 2 (1.5s)

Iter	Nodes	Cost
0	550	7626
1	1247	7237
2	3229	7083
done	5000	7083

prune870.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- x (/ 1.0 3.0))
0.0b	(/ 1 (- x (/ 1.0 3.0)))
12.3b	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

rewrite164.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity`
25×	`add-cube-cbrt`
24×	`associate-r`
17×	`difference-of-squares`
16×	`add-exp-log`
10×	`add-cbrt-cube`
8×	`distribute-lft-out--`
6×	`pow1` `associate-/r*`
5×	`flip3--` `flip--` `add-log-exp`
4×	`div-exp` `associate-l` `prod-exp` `associate-/r/`
3×	`associate-/l*` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-*l/` `cbrt-unprod` `div-inv`
1×	`sub-neg` `pow-flip` `frac-2neg` `diff-log` `associate-r/` `pow-prod-down` `clear-num` `un-div-inv` `-commutative` `inv-pow`

Counts

3 → 112

Calls

3 calls:

13.0ms	(- x (/ 1.0 3.0))
35.0ms	(/ 1 (- x (/ 1.0 3.0)))
112.0ms	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

series167.0ms

Counts

3 → 9

Calls

3 calls:

33.0ms	(- x (/ 1.0 3.0))
31.0ms	(/ 1 (- x (/ 1.0 3.0)))
103.0ms	(* (- (* x x) (* (/ 1.0 3.0) (/ 1.0 3.0))) (/ 1 (- x (/ 1.0 3.0))))

simplify1.4s

Counts

121 → 121

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	173	2102
1	400	1821
2	1242	1469
done	5000	1435

prune271.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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 (0.0ms)

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

end0.0ms

sample386.0ms

Algorithm

intervals

Results

177.0ms

8000×

body

valid