Details

sample214.0ms

Algorithm

intervals

Results

95.0ms	256×	body	80	valid
70.0ms	261×	body	80	nan

simplify1.9s

Counts

1 → 1

Iterations

Iter	Nodes
5	5022
4	1334
3	350
2	100
1	50
0	28

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.4b

localize91.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 2.0 (* t 3.0))
0.2b	(* z (sqrt (+ t a)))
2.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b	(/ (* z (sqrt (+ t a))) t)

rewrite108.0ms

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:

6.0ms	(/ 2.0 (* t 3.0))
15.0ms	(* z (sqrt (+ t a)))
49.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
36.0ms	(/ (* z (sqrt (+ t a))) t)

series517.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ 2.0 (* t 3.0))
113.0ms	(* z (sqrt (+ t a)))
251.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
118.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.9s

Counts

117 → 117

Iterations

Iter	Nodes
2	4469
1	1035
0	350

prune2.4s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
2.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
5.8b	(/ (* z (sqrt (+ t a))) t)
59.8b	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 86

Calls

4 calls:

15.0ms	(* z (sqrt (+ t a)))
25.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
21.0ms	(/ (* z (sqrt (+ t a))) t)
1.0ms	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

series492.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(* z (sqrt (+ t a)))
284.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (posit16->real (real->posit16 (/ 2.0 (* t 3.0)))))))
81.0ms	(/ (* z (sqrt (+ t a))) t)
23.0ms	(posit16->real (real->posit16 (/ 2.0 (* t 3.0))))

simplify1.3s

Counts

98 → 98

Iterations

Iter	Nodes
2	3400
1	776
0	272

prune3.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.2b	(* z (sqrt (+ t a)))
2.4b	(- (posit16->real (real->posit16 (/ (* z (sqrt (+ t a))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b	(/ (* z (sqrt (+ t a))) t)
54.3b	(posit16->real (real->posit16 (/ (* z (sqrt (+ t a))) t)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
9×	`add-cube-cbrt`
7×	`associate-r`
6×	`pow1` `associate--r+` `add-log-exp`
5×	`sqrt-prod`
4×	`sqrt-div` `associate-*r/` `insert-posit16`
3×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `times-frac` `associate-l*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `associate--l+` `cbrt-unprod` `flip-+` `unswap-sqr` `associate-/l/`
1×	`clear-num` `frac-2neg` `flip3--` `diff-log` `pow-prod-down` `-commutative` `div-inv` `remove-posit16` `flip--` `distribute-lft-out` `associate-/l`

Counts

4 → 78

Calls

4 calls:

14.0ms	(* z (sqrt (+ t a)))
5.0ms	(- (posit16->real (real->posit16 (/ (* z (sqrt (+ t a))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
31.0ms	(/ (* z (sqrt (+ t a))) t)
1.0ms	(posit16->real (real->posit16 (/ (* z (sqrt (+ t a))) t)))

series537.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* z (sqrt (+ t a)))
273.0ms	(- (posit16->real (real->posit16 (/ (* z (sqrt (+ t a))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
96.0ms	(/ (* z (sqrt (+ t a))) t)
84.0ms	(posit16->real (real->posit16 (/ (* z (sqrt (+ t a))) t)))

simplify3.4s

Counts

90 → 90

Iterations

Iter	Nodes
3	7976
2	1604
1	495
0	207

prune3.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize127.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (posit16->real (real->posit16 (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
5.8b	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
54.3b	(posit16->real (real->posit16 (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)))
56.4b	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 65

Calls

4 calls:

11.0ms	(- (posit16->real (real->posit16 (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
0.0ms	(posit16->real (real->posit16 (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)))
0.0ms	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

series586.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(- (posit16->real (real->posit16 (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
132.0ms	(/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)
121.0ms	(posit16->real (real->posit16 (/ (posit16->real (real->posit16 (* z (sqrt (+ t a))))) t)))
93.0ms	(posit16->real (real->posit16 (* z (sqrt (+ t a)))))

simplify2.2s

Counts

77 → 77

Iterations

Iter	Nodes
3	5908
2	1239
1	408
0	176

prune3.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes661.0ms

Accuracy

29% (3.8b remaining)

Error of 5.0b against oracle of 1.3b and baseline of 6.6b

bsearch550.0ms

Steps

Iters	Range		Point
5	7.36915094656221e-107	2.291987793441529e-106	1.6282656461481258e-106
10	5.54107819991542e-302	1.4460482199170112e-290	1.2987391929736296e-301

simplify39.0ms

Iterations

Iter	Nodes
2	64
1	64
0	49

end0.0ms

sample5.9s

Algorithm

intervals

Results

2.5s	8040×	body	80	nan
2.2s	8000×	body	80	valid