Details

sample189.0ms

Algorithm

intervals

Results

84.0ms	252×	body	80	nan
61.0ms	256×	body	80	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
4	1817
3	373
2	106
1	50
0	28

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize58.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))
2.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
6.6b	(/ (* z (sqrt (+ t a))) t)

rewrite124.0ms

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:

30.0ms	(* z (sqrt (+ t a)))
12.0ms	(/ 2.0 (* t 3.0))
53.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
25.0ms	(/ (* z (sqrt (+ t a))) t)

series453.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(* z (sqrt (+ t a)))
34.0ms	(/ 2.0 (* t 3.0))
227.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
119.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
1	1049
0	350

prune1.3s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize115.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ t (sqrt (+ t a)))
1.2b	(log (exp (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
1.4b	(/ z (/ t (sqrt (+ t a))))
2.3b	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))

rewrite229.0ms

Algorithm

rewrite-expression-head

Rules

186×	`times-frac`
138×	`*-un-lft-identity`
106×	`add-sqr-sqrt` `add-cube-cbrt`
64×	`sqrt-prod`
34×	`associate-/r*`
16×	`distribute-lft-out`
14×	`frac-sub`
11×	`add-cbrt-cube` `add-exp-log` `associate-/r/`
10×	`sqrt-div`
9×	`flip3--` `flip--`
8×	`frac-times` `flip3-+` `flip-+`
6×	`frac-add` `div-inv` `associate-/l*` `add-log-exp`
5×	`pow1` `log-prod`
4×	`cbrt-undiv` `sub-neg` `div-exp` `associate-*l/` `log-pow` `insert-posit16` `associate--r+`
3×	`exp-prod`
2×	`distribute-rgt-in` `clear-num` `frac-2neg` `distribute-lft-in` `exp-sum` `associate-*r/`
1×	`log-div` `exp-diff` `diff-log` `rem-log-exp`

Counts

4 → 223

Calls

4 calls:

8.0ms	(/ t (sqrt (+ t a)))
112.0ms	(log (exp (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
12.0ms	(/ z (/ t (sqrt (+ t a))))
93.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))

series796.0ms

Counts

4 → 12

Calls

4 calls:

108.0ms	(/ t (sqrt (+ t a)))
241.0ms	(log (exp (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
141.0ms	(/ z (/ t (sqrt (+ t a))))
306.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))

simplify1.9s

Counts

235 → 235

Iterations

Iter	Nodes
done	5001
1	1456
0	483

prune2.4s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 2.0 (* t 3.0))
2.3b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
6.6b	(/ (* z (sqrt (+ t a))) t)
39.7b	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

92×	`frac-sub`
67×	`frac-times`
49×	`cbrt-div`
39×	`associate-*r/`
37×	`associate-*l/`
22×	`flip3-+` `flip-+`
21×	`flip3--` `flip--`
14×	`add-cbrt-cube` `add-exp-log`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
6×	`times-frac` `associate--r+` `add-log-exp`
4×	`pow1` `cbrt-undiv` `associate-/r` `div-exp` `insert-posit16` `associate-/l`
3×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
2×	`clear-num` `frac-2neg` `sqrt-div` `prod-exp` `associate--l+` `cbrt-unprod` `div-inv` `associate-/l/`
1×	`cbrt-prod` `pow1/3` `diff-log` `pow3` `rem-cbrt-cube`

Counts

4 → 133

Calls

4 calls:

9.0ms	(/ 2.0 (* t 3.0))
50.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
11.0ms	(/ (* z (sqrt (+ t a))) t)
75.0ms	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

series515.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ 2.0 (* t 3.0))
352.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0)))))))
85.0ms	(/ (* z (sqrt (+ t a))) t)
53.0ms	(cbrt (* (* (/ 2.0 (* t 3.0)) (/ 2.0 (* t 3.0))) (/ 2.0 (* t 3.0))))

simplify1.8s

Counts

145 → 145

Iterations

Iter	Nodes
done	5000
1	1447
0	513

prune1.8s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize88.0ms

Local error

Found 4 expressions with local error:

1.2b	(log (exp (posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))))
1.4b	(/ z (/ t (sqrt (+ t a))))
2.3b	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
48.4b	(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))

rewrite90.0ms

Algorithm

rewrite-expression-head

Rules

165×	`times-frac`
114×	`*-un-lft-identity`
90×	`add-sqr-sqrt` `add-cube-cbrt`
48×	`sqrt-prod`
27×	`associate-/r*`
14×	`frac-sub`
12×	`distribute-lft-out`
9×	`flip3--` `add-cbrt-cube` `add-exp-log` `associate-/r/` `flip--`
8×	`frac-times` `sqrt-div`
7×	`flip3-+` `flip-+`
6×	`frac-add` `add-log-exp`
5×	`pow1` `div-inv`
4×	`associate-*l/` `log-pow` `insert-posit16` `associate--r+`
3×	`cbrt-undiv` `log-prod` `exp-prod` `sub-neg` `div-exp` `associate-/l*`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`clear-num` `frac-2neg` `diff-log` `rem-log-exp` `remove-posit16`

Counts

4 → 183

Calls

4 calls:

2.0ms	(log (exp (posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))))
10.0ms	(/ z (/ t (sqrt (+ t a))))
73.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
1.0ms	(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))

series920.0ms

Counts

4 → 12

Calls

4 calls:

239.0ms	(log (exp (posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))))
88.0ms	(/ z (/ t (sqrt (+ t a))))
290.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
303.0ms	(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))

simplify1.8s

Counts

195 → 195

Iterations

Iter	Nodes
done	5001
1	1369
0	458

prune2.7s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes680.0ms

Accuracy

0% (2.4b remaining)

Error of 3.2b against oracle of 0.8b and baseline of 3.2b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	36
1	36
0	30

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.4s	8000×	body	80	valid
2.3s	7932×	body	80	nan