Details

sample69.0ms

Algorithm

intervals

Results

26.0ms

409×

body

valid

simplify1.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
5	1885
4	805
3	287
2	93
1	37
0	18

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (* x 9.0) y)
1.3b	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
4.1b	(/ (+ (* (* x 9.0) y) b) z)
9.4b	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

rewrite575.0ms

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:

22.0ms	(* (* x 9.0) y)
165.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
61.0ms	(/ (+ (* (* x 9.0) y) b) z)
325.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

series604.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (* x 9.0) y)
267.0ms	(- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t))
99.0ms	(/ (+ (* (* x 9.0) y) b) z)
204.0ms	(/ (- (/ (+ (* (* x 9.0) y) b) z) (* (* 4.0 a) t)) c)

simplify1.2s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	2407
1	459
0	182

prune748.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 4.5b

localize48.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (* (/ x z) y) (/ 9.0 c))
4.9b	(/ (/ b z) c)
5.3b	(* (/ x z) y)
6.9b	(/ (* t a) c)

rewrite126.0ms

Algorithm

rewrite-expression-head

Rules

97×	`times-frac`
68×	`add-sqr-sqrt`
63×	`*-un-lft-identity` `add-cube-cbrt`
40×	`add-cbrt-cube` `add-exp-log`
16×	`associate-r`
14×	`associate-l` `associate-/l*`
13×	`prod-exp` `cbrt-unprod`
11×	`pow1` `cbrt-undiv` `div-exp`
8×	`div-inv`
6×	`associate-/r*`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`
1×	`frac-times` `associate-*r/` `associate-/l/`

Counts

4 → 162

Calls

4 calls:

52.0ms	(* (* (/ x z) y) (/ 9.0 c))
17.0ms	(/ (/ b z) c)
23.0ms	(* (/ x z) y)
22.0ms	(/ (* t a) c)

series183.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* (/ x z) y) (/ 9.0 c))
37.0ms	(/ (/ b z) c)
40.0ms	(* (/ x z) y)
41.0ms	(/ (* t a) c)

simplify455.0ms

Counts

174 → 174

Iterations

Iter	Nodes
done	5000
1	832
0	310

prune1.5s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.8b

localize44.0ms

Local error

Found 4 expressions with local error:

4.6b	(* (* (/ x z) y) (/ 9.0 c))
4.9b	(/ (/ b z) c)
5.3b	(* (/ x z) y)
5.4b	(/ t (/ c a))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

169×	`times-frac`
108×	`add-sqr-sqrt`
103×	`*-un-lft-identity` `add-cube-cbrt`
40×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/r` `associate-r` `associate-/l`
14×	`associate-l`
12×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv`
11×	`pow1`
4×	`pow-prod-down` `associate-*l/` `add-log-exp`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`
1×	`frac-times` `associate-*r/` `associate-/r/` `associate-/l/`

Counts

4 → 211

Calls

4 calls:

57.0ms	(* (* (/ x z) y) (/ 9.0 c))
13.0ms	(/ (/ b z) c)
12.0ms	(* (/ x z) y)
7.0ms	(/ t (/ c a))

series165.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(* (* (/ x z) y) (/ 9.0 c))
24.0ms	(/ (/ b z) c)
34.0ms	(* (/ x z) y)
42.0ms	(/ t (/ c a))

simplify536.0ms

Counts

223 → 223

Iterations

Iter	Nodes
done	5000
1	1088
0	410

prune1.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

1.7b	(* (/ c (cbrt b)) (cbrt z))
4.6b	(* (* (/ x z) y) (/ 9.0 c))
5.3b	(* (/ x z) y)
5.4b	(/ t (/ c a))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

116×	`times-frac`
97×	`add-sqr-sqrt`
76×	`*-un-lft-identity` `add-cube-cbrt`
40×	`add-exp-log`
37×	`add-cbrt-cube`
36×	`associate-l`
22×	`associate-r`
17×	`cbrt-prod`
14×	`prod-exp` `cbrt-unprod`
13×	`pow1` `associate-/r*`
10×	`cbrt-undiv` `div-exp`
8×	`div-inv` `unswap-sqr`
5×	`pow-prod-down` `associate-*l/`
4×	`add-log-exp`
3×	`-commutative` `associate-/l`
1×	`frac-times` `clear-num` `frac-2neg` `associate-*r/` `associate-/r/`

Counts

4 → 189

Calls

4 calls:

18.0ms	(* (/ c (cbrt b)) (cbrt z))
33.0ms	(* (* (/ x z) y) (/ 9.0 c))
12.0ms	(* (/ x z) y)
7.0ms	(/ t (/ c a))

series226.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* (/ c (cbrt b)) (cbrt z))
57.0ms	(* (* (/ x z) y) (/ 9.0 c))
43.0ms	(* (/ x z) y)
39.0ms	(/ t (/ c a))

simplify844.0ms

Counts

201 → 201

Iterations

Iter	Nodes
done	5001
1	976
0	375

prune1.8s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes1.9s

Accuracy

71.3% (3.0b remaining)

Error of 3.1b against oracle of 0.1b and baseline of 10.6b

bsearch4.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	74
1	74
0	58

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.8s

12839×

body

valid