Details

sample16.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify21.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	22
5	22
4	21
3	19
2	17
1	13
0	9

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 4.0 29.0) (* (/ 841.0 108.0) x))
0.2b	(* (/ 841.0 108.0) x)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`associate-l`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`pow1` `add-log-exp`
3×	`associate-r`
2×	`associate-*l/` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `+-commutative` `sum-log` `flip3-+` `div-exp` `pow-prod-down` `frac-add` `*-commutative` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

14.0ms	(+ (/ 4.0 29.0) (* (/ 841.0 108.0) x))
16.0ms	(* (/ 841.0 108.0) x)

series82.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(+ (/ 4.0 29.0) (* (/ 841.0 108.0) x))
25.0ms	(* (/ 841.0 108.0) x)

simplify901.0ms

Counts

50 → 50

Iterations

Iter	Nodes
done	5000
2	1075
1	246
0	97

prune226.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 4.0 29.0) (/ (* x 841.0) 108.0))
0.3b	(/ (* x 841.0) 108.0)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube` `add-exp-log`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`associate-/r*` `times-frac`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `frac-add` `prod-exp` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 34

Calls

2 calls:

20.0ms	(+ (/ 4.0 29.0) (/ (* x 841.0) 108.0))
8.0ms	(/ (* x 841.0) 108.0)

series87.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+ (/ 4.0 29.0) (/ (* x 841.0) 108.0))
32.0ms	(/ (* x 841.0) 108.0)

simplify751.0ms

Counts

40 → 40

Iterations

Iter	Nodes
done	5000
2	931
1	210
0	79

prune198.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ 4.0 29.0) (/ x (/ 108.0 841.0)))
0.3b	(/ x (/ 108.0 841.0))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

77×	`times-frac`
50×	`*-un-lft-identity`
44×	`add-sqr-sqrt` `add-cube-cbrt`
13×	`associate-/r*`
7×	`add-cbrt-cube` `add-exp-log`
5×	`div-inv`
4×	`add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-/l*`
2×	`pow1` `distribute-lft-out`
1×	`+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `frac-add` `associate-/r/` `flip-+`

Counts

2 → 84

Calls

2 calls:

73.0ms	(+ (/ 4.0 29.0) (/ x (/ 108.0 841.0)))
11.0ms	(/ x (/ 108.0 841.0))

series86.0ms

Counts

2 → 6

Calls

2 calls:

66.0ms	(+ (/ 4.0 29.0) (/ x (/ 108.0 841.0)))
20.0ms	(/ x (/ 108.0 841.0))

simplify1.0s

Counts

90 → 90

Iterations

Iter	Nodes
done	5001
2	1922
1	463
0	179

prune412.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ x 108.0) 841.0)
0.3b	(* (/ x 108.0) 841.0)
0.3b	(* (/ x 108.0) 841.0)
16.0b	(/ (+ (pow (* (/ x 108.0) 841.0) 3) (pow (/ 4.0 29.0) 3)) (+ (* (- (* (/ x 108.0) 841.0) (/ 4.0 29.0)) (* (/ x 108.0) 841.0)) (/ (/ 4.0 29.0) (/ 29.0 4.0))))

rewrite369.0ms

Algorithm

rewrite-expression-head

Rules

53×	`add-sqr-sqrt`
46×	`*-un-lft-identity`
45×	`times-frac`
39×	`associate-l`
38×	`add-cube-cbrt`
21×	`add-cbrt-cube` `add-exp-log`
13×	`associate-*l/`
10×	`pow1`
9×	`associate-r` `associate-/r/`
8×	`frac-add`
6×	`prod-exp` `cbrt-unprod` `unswap-sqr`
5×	`associate-/l*`
4×	`cbrt-undiv` `div-exp` `sum-cubes` `div-inv` `distribute-lft-out` `add-log-exp`
3×	`frac-times` `associate-/r` `pow-prod-down` `-commutative` `associate-/l/`
2×	`cube-div` `flip3-+` `flip3--` `frac-sub` `flip-+` `flip--`
1×	`clear-num` `frac-2neg` `associate-*r/`

Counts

4 → 143

Calls

4 calls:

12.0ms	(* (/ x 108.0) 841.0)
13.0ms	(* (/ x 108.0) 841.0)
12.0ms	(* (/ x 108.0) 841.0)
327.0ms	(/ (+ (pow (* (/ x 108.0) 841.0) 3) (pow (/ 4.0 29.0) 3)) (+ (* (- (* (/ x 108.0) 841.0) (/ 4.0 29.0)) (* (/ x 108.0) 841.0)) (/ (/ 4.0 29.0) (/ 29.0 4.0))))

series161.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (/ x 108.0) 841.0)
32.0ms	(* (/ x 108.0) 841.0)
23.0ms	(* (/ x 108.0) 841.0)
80.0ms	(/ (+ (pow (* (/ x 108.0) 841.0) 3) (pow (/ 4.0 29.0) 3)) (+ (* (- (* (/ x 108.0) 841.0) (/ 4.0 29.0)) (* (/ x 108.0) 841.0)) (/ (/ 4.0 29.0) (/ 29.0 4.0))))

simplify1.7s

Counts

155 → 155

Iterations

Iter	Nodes
done	5000
2	2901
1	591
0	217

prune1.0s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample974.0ms

Algorithm

intervals

Results

798.0ms	8009×	body	80	valid
0.0ms	3×	body	640	valid
0.0ms	1×	body	320	valid