Details

sample57.0ms

Algorithm

intervals

Results

27.0ms

413×

body

valid

simplify2.8s

Counts

1 → 1

Iterations

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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.5b

localize25.0ms

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))
1.1b	(/ (+ b (* (* x 9.0) y)) z)
11.2b	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

rewrite201.0ms

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×	`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 → 89

Calls

4 calls:

14.0ms	(* (* x 9.0) y)
43.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
28.0ms	(/ (+ b (* (* x 9.0) y)) z)
113.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

series525.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(* (* x 9.0) y)
215.0ms	(- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a))
71.0ms	(/ (+ b (* (* x 9.0) y)) z)
208.0ms	(/ (- (/ (+ b (* (* x 9.0) y)) z) (* (* t 4.0) a)) c)

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1533
1	458
0	182

prune958.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.2b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.3b	(/ b (* z c))
6.5b	(/ (* a t) c)
8.1b	(/ (* x y) (* z c))

rewrite62.0ms

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×	`div-inv` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
1×	`pow-prod-down` `associate-r/` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

29.0ms	(* 9.0 (/ (* x y) (* z c)))
6.0ms	(/ b (* z c))
7.0ms	(/ (* a t) c)
14.0ms	(/ (* x y) (* z c))

series164.0ms

Counts

4 → 12

Calls

4 calls:

61.0ms	(* 9.0 (/ (* x y) (* z c)))
25.0ms	(/ b (* z c))
30.0ms	(/ (* a t) c)
49.0ms	(/ (* x y) (* z c))

simplify1.3s

Counts

104 → 104

Iterations

Iter	Nodes
done	5000
2	1902
1	425
0	160

prune832.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* 9.0 (/ (* x y) (* z c)))
5.3b	(/ b (* z c))
5.5b	(* a (/ t c))
8.1b	(/ (* x y) (* z c))

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

44×	`add-cbrt-cube` `add-exp-log`
23×	`add-sqr-sqrt`
18×	`associate-r`
16×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `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×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-r/` `*-commutative`

Counts

4 → 103

Calls

4 calls:

40.0ms	(* 9.0 (/ (* x y) (* z c)))
11.0ms	(/ b (* z c))
19.0ms	(* a (/ t c))
24.0ms	(/ (* x y) (* z c))

series207.0ms

Counts

4 → 12

Calls

4 calls:

73.0ms	(* 9.0 (/ (* x y) (* z c)))
38.0ms	(/ b (* z c))
37.0ms	(* a (/ t c))
59.0ms	(/ (* x y) (* z c))

simplify1.5s

Counts

115 → 115

Iterations

Iter	Nodes
done	5038
2	2057
1	478
0	180

prune969.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize94.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt c)
1.4b	(* a (* (/ (cbrt t) (cbrt c)) (/ (cbrt t) (cbrt c))))
5.3b	(/ b (* z c))
8.1b	(/ (* x y) (* z c))

rewrite121.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

1.0ms	(cbrt c)
79.0ms	(* a (* (/ (cbrt t) (cbrt c)) (/ (cbrt t) (cbrt c))))
17.0ms	(/ b (* z c))
20.0ms	(/ (* x y) (* z c))

series480.0ms

Counts

4 → 12

Calls

4 calls:

292.0ms	(cbrt c)
99.0ms	(* a (* (/ (cbrt t) (cbrt c)) (/ (cbrt t) (cbrt c))))
35.0ms	(/ b (* z c))
53.0ms	(/ (* x y) (* z c))

simplify1.4s

Counts

93 → 93

Iterations

Iter	Nodes
done	5014
2	1707
1	458
0	186

prune899.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

regimes2.1s

Accuracy

-4.7% (9.0b remaining)

Error of 9.1b against oracle of 0.1b and baseline of 8.7b

bsearch199.0ms

Steps

Iters	Range		Point
9	-9.337429615654294e-163	-5.310640757187327e-168	-3.482456241382053e-167
6	-1.0382734880010339e+83	-1.0560971085916969e+82	-6.447875724562494e+82

simplify27.0ms

Iterations

Iter	Nodes
done	53
1	53
0	38

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.9s

12811×

body

valid