Details

sample155.0ms

Algorithm

intervals

Results

68.0ms	256×	body	80	valid
48.0ms	237×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.5b

localize84.0ms

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)))))
3.5b	(/ (* z (sqrt (+ t a))) t)

rewrite94.0ms

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` `insert-posit16` `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 → 105

Calls

4 calls:

23.0ms	(* z (sqrt (+ t a)))
12.0ms	(/ 2.0 (* t 3.0))
37.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
19.0ms	(/ (* z (sqrt (+ t a))) t)

series484.0ms

Counts

4 → 12

Calls

4 calls:

77.0ms	(* z (sqrt (+ t a)))
26.0ms	(/ 2.0 (* t 3.0))
268.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
113.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.3s

Counts

117 → 117

Iterations

Iter	Nodes
done	5033
2	4401
1	1044
0	350

prune1.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize69.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 t) 3.0)
2.5b	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
2.6b	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
6.1b	(* (/ z t) (sqrt (+ t a)))

rewrite94.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
70×	`frac-times` `frac-sub`
67×	`add-sqr-sqrt`
60×	`sqrt-div`
59×	`*-un-lft-identity`
57×	`add-cube-cbrt`
45×	`flip3-+` `flip-+`
41×	`flip3--` `flip--`
40×	`associate-*r/`
35×	`associate-*l/`
30×	`frac-add`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l` `associate-/l*`
7×	`pow1` `associate-r`
6×	`sqrt-prod` `div-inv` `add-log-exp`
5×	`log-prod`
4×	`cbrt-undiv` `sub-neg` `div-exp` `log-pow` `insert-posit16` `associate--r+` `unswap-sqr`
3×	`exp-prod` `associate-/r*`
2×	`distribute-rgt-in` `distribute-lft-in` `exp-sum` `prod-exp` `cbrt-unprod`
1×	`log-div` `clear-num` `frac-2neg` `exp-diff` `diff-log` `rem-log-exp` `pow-prod-down` `*-commutative` `distribute-lft-out` `associate-/l/`

Counts

4 → 220

Calls

4 calls:

7.0ms	(/ (/ 2.0 t) 3.0)
27.0ms	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
34.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
18.0ms	(* (/ z t) (sqrt (+ t a)))

series620.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ (/ 2.0 t) 3.0)
192.0ms	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
275.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
133.0ms	(* (/ z t) (sqrt (+ t a)))

simplify2.1s

Counts

232 → 232

Iterations

Iter	Nodes
done	5001
1	2240
0	682

prune2.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
2.6b	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
3.5b	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
57.0b	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

20×	`frac-sub`
14×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`add-cbrt-cube` `add-exp-log`
9×	`flip3--` `flip--`
8×	`frac-times`
6×	`associate-/l*` `associate--r+` `add-log-exp`
4×	`pow1` `associate-/r` `associate-r/` `insert-posit16`
3×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `flip3-+` `div-exp` `flip-+`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `div-inv`
1×	`diff-log` `prod-exp` `cbrt-unprod` `remove-posit16`

Counts

4 → 92

Calls

4 calls:

6.0ms	(/ 2.0 (* t 3.0))
20.0ms	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
4.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
0.0ms	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

series473.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ 2.0 (* t 3.0))
271.0ms	(- (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
85.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
90.0ms	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

simplify2.0s

Counts

104 → 104

Iterations

Iter	Nodes
done	5063
2	3989
1	923
0	321

prune1.4s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 t) 3.0)
2.6b	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
6.1b	(* (/ z t) (sqrt (+ t a)))
49.3b	(posit16->real (real->posit16 (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

86×	`times-frac`
70×	`frac-times` `frac-sub`
65×	`add-sqr-sqrt`
60×	`sqrt-div`
57×	`*-un-lft-identity`
55×	`add-cube-cbrt`
45×	`flip3-+` `flip-+`
41×	`flip3--` `flip--`
40×	`associate-*r/`
35×	`associate-*l/`
30×	`frac-add`
14×	`add-cbrt-cube` `add-exp-log`
13×	`associate-l` `associate-/l*`
7×	`associate-r`
6×	`pow1` `sqrt-prod` `div-inv` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `associate--r+` `unswap-sqr`
3×	`associate-/r*` `sub-neg`
2×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod`
1×	`clear-num` `frac-2neg` `diff-log` `pow-prod-down` `*-commutative` `remove-posit16` `distribute-lft-out` `associate-/l/`

Counts

4 → 210

Calls

4 calls:

11.0ms	(/ (/ 2.0 t) 3.0)
29.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
26.0ms	(* (/ z t) (sqrt (+ t a)))
0.0ms	(posit16->real (real->posit16 (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))

series615.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ (/ 2.0 t) 3.0)
257.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
103.0ms	(* (/ z t) (sqrt (+ t a)))
230.0ms	(posit16->real (real->posit16 (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))

simplify2.1s

Counts

222 → 222

Iterations

Iter	Nodes
done	5002
1	2205
0	665

prune4.4s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes799.0ms

Accuracy

-57.8% (3.7b remaining)

Error of 4.4b against oracle of 0.7b and baseline of 3.1b

bsearch613.0ms

Steps

Iters	Range		Point
9	1.114790017174594e-306	9.197482254731364e-300	1.1946639376173716e-306
8	-5.113678841412394e-274	-5.259430251722001e-277	-5.347055751992442e-277

simplify37.0ms

Iterations

Iter	Nodes
done	75
1	75
0	58

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.7s	7910×	body	80	nan
2.3s	8000×	body	80	valid