Details

sample90.0ms

Algorithm

intervals

Results

29.0ms	256×	body	80	valid
26.0ms	258×	body	80	nan

simplify1.3s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.2b

localize61.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
0.5b	(/ 2.0 (* t 3.0))
2.7b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b	(/ (* z (sqrt (+ t a))) t)

rewrite62.0ms

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:

15.0ms	(* z (sqrt (+ t a)))
6.0ms	(/ 2.0 (* t 3.0))
27.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
12.0ms	(/ (* z (sqrt (+ t a))) t)

series375.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(* z (sqrt (+ t a)))
18.0ms	(/ 2.0 (* t 3.0))
197.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
84.0ms	(/ (* z (sqrt (+ t a))) t)

simplify2.2s

Counts

117 → 117

Iterations

Iter	Nodes
done	5033
2	4401
1	1044
0	350

prune1.0s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize110.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (/ 2.0 t) 3.0)
1.2b	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
2.7b	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
3.7b	(* (/ z t) (sqrt (+ t a)))

rewrite109.0ms

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:

14.0ms	(/ (/ 2.0 t) 3.0)
42.0ms	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
25.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
19.0ms	(* (/ z t) (sqrt (+ t a)))

series565.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ (/ 2.0 t) 3.0)
206.0ms	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
227.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
113.0ms	(* (/ z t) (sqrt (+ t a)))

simplify2.3s

Counts

232 → 232

Iterations

Iter	Nodes
done	5001
1	2240
0	682

prune2.8s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.3b

localize90.0ms

Local error

Found 4 expressions with local error:

2.7b	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
2.7b	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
3.7b	(* (/ z t) (sqrt (+ t a)))
3.7b	(* (/ z t) (sqrt (+ t a)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

140×	`frac-times` `frac-sub`
120×	`sqrt-div`
90×	`flip3-+` `flip-+`
82×	`flip3--` `flip--`
80×	`associate-*r/`
70×	`associate-*l/`
60×	`frac-add`
42×	`add-sqr-sqrt`
26×	`-un-lft-identity` `associate-l*`
22×	`times-frac` `add-cube-cbrt`
14×	`add-cbrt-cube` `associate-r` `add-exp-log`
12×	`sqrt-prod`
8×	`pow1` `associate--r+` `add-log-exp` `unswap-sqr`
6×	`sub-neg`
4×	`distribute-rgt-in` `distribute-lft-in` `prod-exp` `cbrt-unprod` `insert-posit16`
2×	`cbrt-undiv` `diff-log` `div-exp` `pow-prod-down` `*-commutative` `div-inv` `distribute-lft-out`

Counts

4 → 260

Calls

4 calls:

20.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
28.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
23.0ms	(* (/ z t) (sqrt (+ t a)))
19.0ms	(* (/ z t) (sqrt (+ t a)))

series668.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
236.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
95.0ms	(* (/ z t) (sqrt (+ t a)))
99.0ms	(* (/ z t) (sqrt (+ t a)))

simplify3.0s

Counts

272 → 272

Iterations

Iter	Nodes
done	5002
1	1886
0	518

prune6.0s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.3b

localize105.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))))) (- b c)))))
2.7b	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))))) (- b c)))
3.7b	(* (/ z t) (sqrt (+ t a)))
59.8b	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 158

Calls

4 calls:

31.0ms	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))))) (- b c)))))
20.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))))) (- b c)))
33.0ms	(* (/ z t) (sqrt (+ t a)))
0.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))

series721.0ms

Counts

4 → 12

Calls

4 calls:

278.0ms	(log (exp (- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))))) (- b c)))))
292.0ms	(- (* (/ z t) (sqrt (+ t a))) (* (+ (/ 5.0 6.0) (- a (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))))) (- b c)))
115.0ms	(* (/ z t) (sqrt (+ t a)))
35.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))

simplify2.6s

Counts

170 → 170

Iterations

Iter	Nodes
done	5001
1	1939
0	554

prune3.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.3b

regimes902.0ms

Accuracy

-17.5% (2.5b remaining)

Error of 3.3b against oracle of 0.7b and baseline of 2.9b

bsearch210.0ms

Steps

Iters	Range		Point
6	-3.649263659612271e+55	-8.747592827086684e+54	-2.978001093890994e+55

simplify54.0ms

Iterations

Iter	Nodes
done	64
1	64
0	50

end0.0ms

sample4.7s

Algorithm

intervals

Results

2.2s	8000×	body	80	valid
1.7s	8070×	body	80	nan