Details

sample161.0ms

Algorithm

intervals

Results

60.0ms	256×	body	80	valid
38.0ms	278×	body	80	nan

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1302
3	350
2	100
1	50
0	28

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize73.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.6b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.6b	(/ (* z (sqrt (+ t a))) t)

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
16×	`add-cbrt-cube` `add-exp-log`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity`
11×	`add-cube-cbrt`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`associate-r`
6×	`pow1` `times-frac` `associate--r+` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `div-inv` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative` `distribute-lft-out`

Counts

4 → 101

Calls

4 calls:

34.0ms	(* z (sqrt (+ t a)))
12.0ms	(/ 2.0 (* t 3.0))
63.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
23.0ms	(/ (* z (sqrt (+ t a))) t)

series536.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(* z (sqrt (+ t a)))
20.0ms	(/ 2.0 (* t 3.0))
304.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
125.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.9s

Counts

113 → 113

Iterations

Iter	Nodes
done	5106
2	4349
1	1041
0	346

prune1.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize79.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
3.2b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
3.7b	(log (exp (/ 2.0 (* t 3.0))))
5.6b	(/ (* z (sqrt (+ t a))) t)

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-cbrt-cube` `add-exp-log`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
8×	`log-pow` `frac-sub`
7×	`exp-prod` `flip3--` `flip--`
6×	`associate--r+` `add-log-exp`
5×	`pow1`
4×	`frac-times` `cbrt-undiv` `associate-/r` `div-exp` `associate-r/` `associate-/l*`
3×	`distribute-rgt-in` `log-prod` `sub-neg` `distribute-lft-in` `div-inv`
2×	`clear-num` `frac-2neg` `sqrt-div` `associate-*l/` `prod-exp` `associate--l+` `cbrt-unprod` `associate-/l/`
1×	`flip3-+` `diff-log` `rem-log-exp` `flip-+`

Counts

4 → 89

Calls

4 calls:

10.0ms	(/ 2.0 (* t 3.0))
54.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
16.0ms	(log (exp (/ 2.0 (* t 3.0))))
13.0ms	(/ (* z (sqrt (+ t a))) t)

series453.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(/ 2.0 (* t 3.0))
281.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
33.0ms	(log (exp (/ 2.0 (* t 3.0))))
104.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.1s

Counts

101 → 101

Iterations

Iter	Nodes
done	5065
2	3454
1	785
0	280

prune1.1s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.5b

localize80.0ms

Local error

Found 4 expressions with local error:

2.3b	(* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))
4.4b	(* z (* (+ b c) (sqrt (+ t a))))
5.9b	(- (* z (* (+ b c) (sqrt (+ t a)))) (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t)))
24.6b	(/ (- (* z (* (+ b c) (sqrt (+ t a)))) (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))) (* t (+ b c)))

rewrite1.1s

Algorithm

rewrite-expression-head

Rules

688×	`frac-times`
676×	`associate-*r/`
658×	`associate-*l/`
629×	`flip3-+` `flip-+`
416×	`frac-sub`
318×	`sqrt-div`
212×	`associate-/l/`
155×	`flip3--` `flip--`
26×	`add-cbrt-cube` `add-exp-log`
21×	`pow1`
12×	`prod-exp` `cbrt-unprod`
11×	`pow-prod-down`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`add-log-exp`
4×	`associate-l` `sub-div`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp` `associate-r` `associate-/r/` `*-commutative`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-inv`

Counts

4 → 532

Calls

4 calls:

662.0ms	(* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))
52.0ms	(* z (* (+ b c) (sqrt (+ t a))))
99.0ms	(- (* z (* (+ b c) (sqrt (+ t a)))) (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t)))
175.0ms	(/ (- (* z (* (+ b c) (sqrt (+ t a)))) (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))) (* t (+ b c)))

series1.4s

Counts

4 → 12

Calls

4 calls:

190.0ms	(* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))
138.0ms	(* z (* (+ b c) (sqrt (+ t a))))
516.0ms	(- (* z (* (+ b c) (sqrt (+ t a)))) (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t)))
551.0ms	(/ (- (* z (* (+ b c) (sqrt (+ t a)))) (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))) (* t (+ b c)))

simplify3.0s

Counts

544 → 544

Iterations

Iter	Nodes
done	5000
0	1349

prune10.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize70.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t)
0.3b	(/ (/ 2.0 t) 3.0)
2.3b	(* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))
24.8b	(/ (- 0 (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))) (* t (+ b c)))

rewrite1.6s

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`*-un-lft-identity`
52×	`add-sqr-sqrt`
50×	`add-cube-cbrt`
34×	`associate-*l/`
28×	`frac-times` `add-cbrt-cube` `add-exp-log`
20×	`flip3-+` `flip-+`
18×	`pow1`
16×	`associate-/l*`
10×	`flip3--` `prod-exp` `associate-*r/` `cbrt-unprod` `flip--`
9×	`pow-prod-down`
6×	`associate-l` `div-inv`
5×	`cbrt-undiv` `div-exp`
4×	`associate-/r` `associate-r*` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `associate-/r/` `*-commutative` `distribute-lft-out`
1×	`div-sub` `distribute-frac-neg` `distribute-lft-out--` `unswap-sqr` `sub0-neg`

Counts

4 → 167

Calls

4 calls:

869.0ms	(* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t)
15.0ms	(/ (/ 2.0 t) 3.0)
662.0ms	(* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))
18.0ms	(/ (- 0 (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))) (* t (+ b c)))

series466.0ms

Counts

4 → 12

Calls

4 calls:

58.0ms	(* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t)
21.0ms	(/ (/ 2.0 t) 3.0)
143.0ms	(* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))
245.0ms	(/ (- 0 (* (* (- b c) (+ b c)) (* (+ (- (/ 5.0 6.0) (/ (/ 2.0 t) 3.0)) a) t))) (* t (+ b c)))

simplify1.6s

Counts

179 → 179

Iterations

Iter	Nodes
done	5001
1	1155
0	372

prune1.9s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes1.1s

Accuracy

47.8% (5.0b remaining)

Error of 5.6b against oracle of 0.6b and baseline of 10.2b

bsearch751.0ms

Steps

Iters	Range		Point
9	4.45689518751331e-05	51913.834319190886	0.000928967988976938
13	-5.3532804746920945e+94	-1473627539.4288568	-699293331120.7522

simplify47.0ms

Iterations

Iter	Nodes
done	76
1	76
0	54

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.8s	8000×	body	80	valid
1.6s	7926×	body	80	nan