Details

sample86.0ms

Algorithm

intervals

Results

41.0ms

416×

body

valid

simplify6.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
6	4883
5	1425
4	662
3	254
2	89
1	37
0	18

prune43.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 9.0 x) y)
0.2b	(- (/ (+ (* (* 9.0 x) y) b) z) (* (* a t) 4.0))
2.0b	(/ (+ (* (* 9.0 x) y) b) z)
8.9b	(/ (- (/ (+ (* (* 9.0 x) y) b) z) (* (* a t) 4.0)) c)

rewrite1.2s

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
13×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`associate-/l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `div-inv`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 89

Calls

4 calls:

37.0ms	(* (* 9.0 x) y)
307.0ms	(- (/ (+ (* (* 9.0 x) y) b) z) (* (* a t) 4.0))
119.0ms	(/ (+ (* (* 9.0 x) y) b) z)
760.0ms	(/ (- (/ (+ (* (* 9.0 x) y) b) z) (* (* a t) 4.0)) c)

series905.0ms

Counts

4 → 12

Calls

4 calls:

51.0ms	(* (* 9.0 x) y)
380.0ms	(- (/ (+ (* (* 9.0 x) y) b) z) (* (* a t) 4.0))
110.0ms	(/ (+ (* (* 9.0 x) y) b) z)
363.0ms	(/ (- (/ (+ (* (* 9.0 x) y) b) z) (* (* a t) 4.0)) c)

simplify3.4s

Counts

101 → 101

Iterations

Iter	Nodes
done	5002
2	1563
1	454
0	181

prune3.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.7b

localize435.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.8b	(/ (* t a) c)
5.1b	(/ b (* z c))
9.8b	(/ (* x y) (* z c))

rewrite185.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-exp-log` `add-cbrt-cube`
15×	`prod-exp` `cbrt-unprod`
12×	`cbrt-undiv` `add-sqr-sqrt` `div-exp`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`times-frac`
6×	`pow1`
5×	`associate-r` `associate-/r` `associate-/l`
4×	`div-inv` `add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
1×	`associate-r/` `pow-prod-down` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

51.0ms	(* 9.0 (/ (* x y) (* z c)))
20.0ms	(/ (* t a) c)
10.0ms	(/ b (* z c))
25.0ms	(/ (* x y) (* z c))

series378.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(* 9.0 (/ (* x y) (* z c)))
52.0ms	(/ (* t a) c)
49.0ms	(/ b (* z c))
120.0ms	(/ (* x y) (* z c))

simplify3.6s

Counts

104 → 104

Iterations

Iter	Nodes
done	5001
2	1915
1	425
0	160

prune1.5s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.3b

localize62.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ x (/ (* z c) y))
4.8b	(/ (* t a) c)
5.1b	(/ b (* z c))
5.3b	(/ (* z c) y)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

42×	`times-frac`
28×	`add-exp-log` `add-cbrt-cube`
26×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
14×	`associate-/r*`
11×	`cbrt-undiv` `div-exp`
8×	`div-inv` `associate-/l*`
4×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`associate-/r/`

Counts

4 → 111

Calls

4 calls:

20.0ms	(/ x (/ (* z c) y))
30.0ms	(/ (* t a) c)
16.0ms	(/ b (* z c))
19.0ms	(/ (* z c) y)

series264.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(/ x (/ (* z c) y))
109.0ms	(/ (* t a) c)
44.0ms	(/ b (* z c))
41.0ms	(/ (* z c) y)

simplify2.1s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	2016
1	507
0	198

prune2.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize202.0ms

Local error

Found 4 expressions with local error:

3.3b	(/ x (/ (* z c) y))
5.1b	(/ b (* z c))
5.2b	(* t (/ a c))
5.3b	(/ (* z c) y)

rewrite165.0ms

Algorithm

rewrite-expression-head

Rules

49×	`times-frac`
37×	`add-sqr-sqrt`
32×	`add-cube-cbrt` `*-un-lft-identity`
28×	`add-exp-log` `add-cbrt-cube`
13×	`associate-r`
11×	`associate-/r*`
10×	`cbrt-undiv` `div-exp`
8×	`div-inv`
7×	`associate-/l*`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `associate-l` `clear-num`
2×	`unswap-sqr`
1×	`associate-r/` `pow-prod-down` `associate-/r/` `-commutative`

Counts

4 → 122

Calls

4 calls:

23.0ms	(/ x (/ (* z c) y))
27.0ms	(/ b (* z c))
61.0ms	(* t (/ a c))
44.0ms	(/ (* z c) y)

series400.0ms

Counts

4 → 12

Calls

4 calls:

245.0ms	(/ x (/ (* z c) y))
43.0ms	(/ b (* z c))
63.0ms	(* t (/ a c))
48.0ms	(/ (* z c) y)

simplify3.4s

Counts

134 → 134

Iterations

Iter	Nodes
done	5055
2	2107
1	556
0	217

prune2.3s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes4.0s

Accuracy

39% (5.9b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 9.8b

bsearch58.0ms

simplify26.0ms

Iterations

Iter	Nodes
done	62
1	62
0	47

end11.0ms

sample9.4s

Algorithm

intervals

Results

8.0s

12880×

body

valid