Details

sample95.0ms

Algorithm

intervals

Results

48.0ms

414×

body

valid

simplify4.4s

Counts

1 → 1

Iterations

Useful iterations: 6 (2.8s)

Iter	Nodes	Cost
0	18	19
1	37	19
2	93	19
3	282	19
4	684	19
5	1533	19
6	3412	17
done	5001	17

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 3.5b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
1.5b	(/ (+ b (* (* x 9.0) y)) z)
7.6b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

rewrite237.0ms

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:

28.0ms	(* (* x 9.0) y)
69.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
28.0ms	(/ (+ b (* (* x 9.0) y)) z)
108.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

series522.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (* x 9.0) y)
197.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t))
78.0ms	(/ (+ b (* (* x 9.0) y)) z)
218.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* a 4.0) t)) c)

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	182	1845
1	444	1785
2	1578	1639
done	5000	1631

prune466.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 3.2b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.2b	(/ (* t a) c)
4.2b	(/ b (* z c))
6.5b	(/ (* x y) (* z c))

rewrite85.0ms

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:

44.0ms	(* 9.0 (/ (* x y) (* z c)))
16.0ms	(/ (* t a) c)
9.0ms	(/ b (* z c))
13.0ms	(/ (* x y) (* z c))

series183.0ms

Counts

4 → 12

Calls

4 calls:

82.0ms	(* 9.0 (/ (* x y) (* z c)))
35.0ms	(/ (* t a) c)
34.0ms	(/ b (* z c))
32.0ms	(/ (* x y) (* z c))

simplify923.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (335.0ms)

Iter	Nodes	Cost
0	160	1082
1	402	1049
2	1864	811
done	5000	811

prune404.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.3b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.2b	(/ b (* z c))
4.6b	(* t (/ a c))
6.5b	(/ (* x y) (* z c))

rewrite416.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 103

Calls

4 calls:

354.0ms	(* 9.0 (/ (* x y) (* z c)))
12.0ms	(/ b (* z c))
22.0ms	(* t (/ a c))
21.0ms	(/ (* x y) (* z c))

series174.0ms

Counts

4 → 12

Calls

4 calls:

68.0ms	(* 9.0 (/ (* x y) (* z c)))
31.0ms	(/ b (* z c))
30.0ms	(* t (/ a c))
46.0ms	(/ (* x y) (* z c))

simplify1.1s

Counts

115 → 115

Iterations

Useful iterations: 2 (344.0ms)

Iter	Nodes	Cost
0	180	1173
1	454	1130
2	1919	892
done	5000	892

prune458.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
4.2b	(/ b (* z c))
4.8b	(/ t (/ c a))
6.5b	(/ (* x y) (* z c))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 141

Calls

4 calls:

41.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ b (* z c))
11.0ms	(/ t (/ c a))
17.0ms	(/ (* x y) (* z c))

series150.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(* 9.0 (/ (* x y) (* z c)))
28.0ms	(/ b (* z c))
27.0ms	(/ t (/ c a))
32.0ms	(/ (* x y) (* z c))

simplify1.5s

Counts

153 → 153

Iterations

Useful iterations: 2 (420.0ms)

Iter	Nodes	Cost
0	260	1776
1	603	1683
2	2408	1435
done	5000	1435

prune540.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes1.0s

Accuracy

7.4% (10.1b remaining)

Error of 10.2b against oracle of 0.1b and baseline of 11.1b

bsearch414.0ms

Steps

Iters	Range		Point
8	1.5156872805641785e+277	4.835340721794044e+280	3.76405860569029e+280
7	4.71801383509725e+52	1.3326311595534397e+54	4.428008425685854e+53
9	2.4885961611920785e-173	4.496029880187708e-166	1.4474005879192812e-170

simplify15.0ms

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	50	115
1	72	97
done	72	97

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.8s

12699×

body

valid