Details

sample16.0ms

Algorithm

intervals

Results

9.0ms

335×

body

valid

simplify517.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	19	9
2	36	9
3	66	9
4	91	9
5	105	9
6	147	9
7	244	9
8	370	9
9	382	9
done	382	9

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ 0.253 (* x 0.12))
0.1b	(* x (+ 0.253 (* x 0.12)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 33

Calls

2 calls:

2.0ms	(+ 0.253 (* x 0.12))
7.0ms	(* x (+ 0.253 (* x 0.12)))

series99.0ms

Counts

2 → 6

Calls

2 calls:

32.0ms	(+ 0.253 (* x 0.12))
67.0ms	(* x (+ 0.253 (* x 0.12)))

simplify2.2s

Counts

39 → 39

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	60	377
1	178	363
2	670	325
3	3175	325
done	5001	325

prune68.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.253 x) (* x (* x 0.12)))
0.1b	(* x (* x 0.12))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ (* 0.253 x) (* x (* x 0.12)))
8.0ms	(* x (* x 0.12))

series95.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* 0.253 x) (* x (* x 0.12)))
25.0ms	(* x (* x 0.12))

simplify1.2s

Counts

35 → 35

Iterations

Useful iterations: 3 (254.0ms)

Iter	Nodes	Cost
0	56	362
1	165	342
2	599	272
3	2167	268
done	5001	268

prune65.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 0.253 x) (* 0.12 (pow x 2)))
0.2b	(* 0.12 (pow x 2))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

2.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
6.0ms	(* 0.12 (pow x 2))

series99.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(+ (* 0.253 x) (* 0.12 (pow x 2)))
29.0ms	(* 0.12 (pow x 2))

simplify2.6s

Counts

44 → 44

Iterations

Useful iterations: 3 (363.0ms)

Iter	Nodes	Cost
0	74	440
1	191	400
2	696	355
3	3286	323
done	5000	323

prune83.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* 0.253 x) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
0.2b	(* (sqrt 0.12) x)
0.2b	(* (sqrt 0.12) x)
0.4b	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

47×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`pow-prod-down`
18×	`add-sqr-sqrt`
13×	`associate-l`
10×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp` `cbrt-unprod`
8×	`sqrt-prod`
7×	`associate-r`
6×	`add-log-exp`
4×	`pow-sqr` `pow-prod-up` `unswap-sqr`
3×	`*-commutative`
2×	`pow-plus`
1×	`+-commutative` `pow2` `flip3-+` `swap-sqr` `sum-log` `flip-+`

Counts

4 → 89

Calls

4 calls:

3.0ms	(+ (* 0.253 x) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
5.0ms	(* (sqrt 0.12) x)
7.0ms	(* (sqrt 0.12) x)
16.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

series434.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(+ (* 0.253 x) (* (* (sqrt 0.12) x) (* (sqrt 0.12) x)))
212.0ms	(* (sqrt 0.12) x)
39.0ms	(* (sqrt 0.12) x)
73.0ms	(* (* (sqrt 0.12) x) (* (sqrt 0.12) x))

simplify470.0ms

Counts

101 → 101

Iterations

Useful iterations: done (467.0ms)

Iter	Nodes	Cost
0	81	974
1	210	693
2	937	575
done	5000	571

prune147.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes17.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	13	11
done	13	11

end0.0ms

sample300.0ms

Algorithm

intervals

Results

193.0ms

10564×

body

valid