Details

sample181.0ms

Algorithm

intervals

Results

75.0ms	256×	body	80	valid
54.0ms	243×	body	80	nan

simplify2.3s

Counts: 1 → 1

prune28.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.7b

localize98.0ms

Local error

Found 4 expressions with local error:

7.4b	(/ (* z (sqrt (+ t a))) t)
2.4b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.5b	(/ 2.0 (* t 3.0))
0.2b	(* z (sqrt (+ t a)))

rewrite106.0ms

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:

Slowest

37.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
32.0ms	(* z (sqrt (+ t a)))
25.0ms	(/ (* z (sqrt (+ t a))) t)
9.0ms	(/ 2.0 (* t 3.0))

series523.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

285.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
122.0ms	(/ (* z (sqrt (+ t a))) t)
88.0ms	(* z (sqrt (+ t a)))
28.0ms	(/ 2.0 (* t 3.0))

simplify2.4s

Counts: 117 → 117

prune2.6s

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize67.0ms

Local error

Found 4 expressions with local error:

2.4b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.7b	(/ z (/ t (sqrt (+ t a))))
0.5b	(/ 2.0 (* t 3.0))
0.4b	(/ t (sqrt (+ t a)))

rewrite140.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 228

Calls

4 calls:

Slowest

87.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
20.0ms	(/ z (/ t (sqrt (+ t a))))
15.0ms	(/ t (sqrt (+ t a)))
11.0ms	(/ 2.0 (* t 3.0))

series536.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

294.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
111.0ms	(/ z (/ t (sqrt (+ t a))))
97.0ms	(/ t (sqrt (+ t a)))
33.0ms	(/ 2.0 (* t 3.0))

simplify831.0ms

Counts: 240 → 240

prune5.7s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.2b

localize75.0ms

Local error

Found 4 expressions with local error:

4.1b	(log (exp (/ 2.0 (* t 3.0))))
4.1b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
0.7b	(/ z (/ t (sqrt (+ t a))))
0.5b	(/ 2.0 (* t 3.0))

rewrite109.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 196

Calls

4 calls:

Slowest

69.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
16.0ms	(log (exp (/ 2.0 (* t 3.0))))
11.0ms	(/ z (/ t (sqrt (+ t a))))
6.0ms	(/ 2.0 (* t 3.0))

series390.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

241.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (log (exp (/ 2.0 (* t 3.0)))))))
94.0ms	(/ z (/ t (sqrt (+ t a))))
33.0ms	(log (exp (/ 2.0 (* t 3.0))))
21.0ms	(/ 2.0 (* t 3.0))

simplify565.0ms

Counts: 208 → 208

prune5.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.2b

localize102.0ms

Local error

Found 4 expressions with local error:

48.6b	(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
2.4b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.7b	(/ z (/ t (sqrt (+ t a))))
0.5b	(/ 2.0 (* t 3.0))

rewrite107.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 191

Calls

4 calls:

Slowest

75.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
14.0ms	(/ z (/ t (sqrt (+ t a))))
12.0ms	(/ 2.0 (* t 3.0))
0.0ms	(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))

series746.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

298.0ms	(posit16->real (real->posit16 (- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))))
275.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
142.0ms	(/ z (/ t (sqrt (+ t a))))
31.0ms	(/ 2.0 (* t 3.0))

simplify910.0ms

Counts: 203 → 203

prune7.6s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.2b

regimes760.0ms

Accuracy

0% (2.3b remaining)

Error of 3.0b against oracle of 0.7b and baseline of 3.0b

bsearch15.0ms

end0.0ms

sample5.5s

Algorithm

intervals

Results

2.6s	8000×	body	80	valid
1.9s	7856×	body	80	nan