Details

sample197.0ms

Algorithm

intervals

Results

91.0ms	256×	body	80	valid
65.0ms	252×	body	80	nan

simplify1.8s

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.9b

localize66.0ms

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)

rewrite79.0ms

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:

18.0ms	(* z (sqrt (+ t a)))
6.0ms	(/ 2.0 (* t 3.0))
31.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
21.0ms	(/ (* z (sqrt (+ t a))) t)

series514.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(* z (sqrt (+ t a)))
36.0ms	(/ 2.0 (* t 3.0))
274.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
120.0ms	(/ (* z (sqrt (+ t a))) t)

simplify1.7s

Counts

117 → 117

Iterations

Iter	Nodes
done	5000
1	1049
0	350

prune1.4s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize93.0ms

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)))

rewrite249.0ms

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:

17.0ms	(/ t (sqrt (+ t a)))
139.0ms	(log (exp (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
21.0ms	(/ z (/ t (sqrt (+ t a))))
64.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))

series786.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(/ t (sqrt (+ t a)))
295.0ms	(log (exp (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))
96.0ms	(/ z (/ t (sqrt (+ t a))))
285.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))

simplify1.8s

Counts

235 → 235

Iterations

Iter	Nodes
done	5001
1	1456
0	483

prune2.3s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize87.0ms

Local error

Found 4 expressions with local error:

0.3b	(* z (sqrt (+ t a)))
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)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

92×	`frac-sub`
67×	`frac-times`
49×	`cbrt-div`
41×	`associate-*r/`
37×	`associate-*l/`
23×	`flip3-+` `flip-+`
21×	`flip3--` `flip--`
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` `insert-posit16`
3×	`distribute-rgt-in` `associate-/r` `sub-neg` `distribute-lft-in` `times-frac` `associate-l*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `associate--l+` `cbrt-unprod` `unswap-sqr` `associate-/l/`
1×	`cbrt-prod` `clear-num` `frac-2neg` `pow1/3` `diff-log` `pow3` `pow-prod-down` `-commutative` `rem-cbrt-cube` `div-inv` `distribute-lft-out` `associate-/l`

Counts

4 → 137

Calls

4 calls:

29.0ms	(* z (sqrt (+ t a)))
55.0ms	(- (/ (* 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))))))
12.0ms	(/ (* z (sqrt (+ t a))) t)
54.0ms	(cbrt (* (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)) (/ (/ 2.0 t) 3.0)))

series728.0ms

Counts

4 → 12

Calls

4 calls:

96.0ms	(* z (sqrt (+ t a)))
450.0ms	(- (/ (* 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))))))
97.0ms	(/ (* z (sqrt (+ t a))) t)
85.0ms	(cbrt (* (* (/ (/ 2.0 t) 3.0) (/ (/ 2.0 t) 3.0)) (/ (/ 2.0 t) 3.0)))

simplify2.0s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
1	1488
0	525

prune1.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize110.0ms

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)))))

rewrite86.0ms

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)))))))
11.0ms	(/ z (/ t (sqrt (+ t a))))
68.0ms	(- (/ 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:

264.0ms	(log (exp (posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))))))
128.0ms	(/ z (/ t (sqrt (+ t a))))
283.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (+ (/ 5.0 6.0) (- a (/ (/ 2.0 t) 3.0))) (- b c)))
245.0ms	(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

prune2.8s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes824.0ms

Accuracy

0% (2.4b remaining)

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

bsearch0.0ms

simplify11.0ms

Iterations

Iter	Nodes
done	36
1	36
0	30

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.6s	7932×	body	80	nan
2.6s	8000×	body	80	valid