Details

sample65.0ms

Algorithm

intervals

Results

36.0ms

424×

body

valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	4882
5	1433
4	655
3	253
2	89
1	37
0	18

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x 9.0) y)
0.5b	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
2.2b	(/ (+ b (* (* x 9.0) y)) z)
11.0b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`insert-posit16` `associate-/l/`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-exp` `div-inv` `flip--`
1×	`sub-neg` `flip3-+` `diff-log` `div-sub` `associate-l` `*-commutative` `flip-+`

Counts

4 → 93

Calls

4 calls:

17.0ms	(* (* x 9.0) y)
46.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
24.0ms	(/ (+ b (* (* x 9.0) y)) z)
90.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series520.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* (* x 9.0) y)
209.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
92.0ms	(/ (+ b (* (* x 9.0) y)) z)
197.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify1.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5000
2	1530
1	462
0	186

prune702.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.4b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
2.8b	(/ b (* z c))
6.2b	(/ (* a t) c)
8.6b	(/ (* x y) (* z c))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-cbrt-cube` `add-exp-log`
15×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt` `cbrt-undiv` `div-exp`
10×	`*-un-lft-identity` `add-cube-cbrt`
8×	`times-frac`
6×	`pow1`
5×	`associate-/r` `associate-r` `associate-/l`
4×	`insert-posit16` `div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 96

Calls

4 calls:

26.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ b (* z c))
15.0ms	(/ (* a t) c)
25.0ms	(/ (* x y) (* z c))

series128.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* 9.0 (/ (* x y) (* z c)))
22.0ms	(/ b (* z c))
21.0ms	(/ (* a t) c)
36.0ms	(/ (* x y) (* z c))

simplify1.2s

Counts

108 → 108

Iterations

Iter	Nodes
done	5016
2	1924
1	428
0	164

prune741.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
2.8b	(/ b (* z c))
5.0b	(/ a (/ c t))
8.6b	(/ (* x y) (* z c))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

80×	`times-frac`
52×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
44×	`add-cbrt-cube` `add-exp-log`
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×	`insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `associate-/r/` `-commutative` `unswap-sqr`

Counts

4 → 145

Calls

4 calls:

43.0ms	(* 9.0 (/ (* x y) (* z c)))
8.0ms	(/ b (* z c))
9.0ms	(/ a (/ c t))
19.0ms	(/ (* x y) (* z c))

series184.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* 9.0 (/ (* x y) (* z c)))
33.0ms	(/ b (* z c))
34.0ms	(/ a (/ c t))
45.0ms	(/ (* x y) (* z c))

simplify1.4s

Counts

157 → 157

Iterations

Iter	Nodes
done	5007
2	2496
1	669
0	264

prune1.2s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

2.8b	(/ b (* z c))
4.4b	(/ (* z c) y)
5.0b	(/ a (/ c t))
5.6b	(/ x (/ (* z c) y))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
66×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
24×	`associate-/r*`
12×	`cbrt-undiv` `div-exp` `div-inv`
10×	`associate-/l*`
4×	`pow1` `clear-num` `frac-2neg` `insert-posit16` `add-log-exp`
3×	`prod-exp` `cbrt-unprod`
2×	`associate-/r/`

Counts

4 → 164

Calls

4 calls:

16.0ms	(/ b (* z c))
21.0ms	(/ (* z c) y)
16.0ms	(/ a (/ c t))
14.0ms	(/ x (/ (* z c) y))

series143.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ b (* z c))
26.0ms	(/ (* z c) y)
27.0ms	(/ a (/ c t))
59.0ms	(/ x (/ (* z c) y))

simplify1.8s

Counts

176 → 176

Iterations

Iter	Nodes
done	5010
2	2730
1	750
0	301

prune1.2s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes1.6s

Accuracy

16.9% (8.0b remaining)

Error of 8.0b against oracle of 0.0b and baseline of 9.6b

bsearch233.0ms

Steps

Iters	Range		Point
9	6.786841320353263e-189	1.416034458833228e-179	1.3927288177737055e-179
7	-1.929195401057365e+125	-9.800585731020601e+123	-9.889141936680343e+123

simplify16.0ms

Iterations

Iter	Nodes
done	59
1	59
0	45

end0.0ms

sample2.1s

Algorithm

intervals

Results

1.5s

12941×

body

valid