Details

sample123.0ms

Algorithm

intervals

Results

44.0ms

424×

body

valid

simplify7.9s

Counts

1 → 1

Iterations

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

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 7.0b

localize49.0ms

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)

rewrite355.0ms

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:

34.0ms	(* (* x 9.0) y)
104.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
45.0ms	(/ (+ b (* (* x 9.0) y)) z)
161.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series840.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* (* x 9.0) y)
333.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
151.0ms	(/ (+ b (* (* x 9.0) y)) z)
317.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify3.1s

Counts

105 → 105

Iterations

Iter	Nodes
done	5001
2	1542
1	462
0	186

prune2.4s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.7b

localize95.0ms

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))

rewrite143.0ms

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:

55.0ms	(* 9.0 (/ (* x y) (* z c)))
20.0ms	(/ b (* z c))
24.0ms	(/ (* a t) c)
39.0ms	(/ (* x y) (* z c))

series258.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(* 9.0 (/ (* x y) (* z c)))
52.0ms	(/ b (* z c))
45.0ms	(/ (* a t) c)
52.0ms	(/ (* x y) (* z c))

simplify3.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5006
2	1912
1	426
0	164

prune1.8s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.0b

localize83.0ms

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))

rewrite122.0ms

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:

47.0ms	(* 9.0 (/ (* x y) (* z c)))
12.0ms	(/ b (* z c))
12.0ms	(/ a (/ c t))
38.0ms	(/ (* x y) (* z c))

series265.0ms

Counts

4 → 12

Calls

4 calls:

80.0ms	(* 9.0 (/ (* x y) (* z c)))
55.0ms	(/ b (* z c))
54.0ms	(/ a (/ c t))
77.0ms	(/ (* x y) (* z c))

simplify3.8s

Counts

157 → 157

Iterations

Iter	Nodes
done	5001
2	2710
1	676
0	264

prune2.6s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.0b

localize63.0ms

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))

rewrite78.0ms

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:

11.0ms	(/ b (* z c))
12.0ms	(/ (* z c) y)
13.0ms	(/ a (/ c t))
21.0ms	(/ x (/ (* z c) y))

series224.0ms

Counts

4 → 12

Calls

4 calls:

49.0ms	(/ b (* z c))
44.0ms	(/ (* z c) y)
48.0ms	(/ a (/ c t))
82.0ms	(/ x (/ (* z c) y))

simplify3.2s

Counts

176 → 176

Iterations

Iter	Nodes
done	5006
2	2622
1	752
0	301

prune2.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes4.9s

Accuracy

17.3% (8.1b remaining)

Error of 8.2b against oracle of 0.0b and baseline of 9.9b

bsearch273.0ms

Steps

Iters	Range		Point
9	5.700086923092822e-71	3.302217848673879e-63	3.1185866381757804e-63
9	-4.884412180801294e+165	-1.0305204769217086e+158	-1.0441690050355594e+158

simplify17.0ms

Iterations

Iter	Nodes
done	50
1	50
0	35

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.3s

12941×

body

valid