Details

sample206.0ms

Algorithm

intervals

Results

87.0ms	261×	body	80	nan
67.0ms	256×	body	80	valid

simplify2.7s

Counts: 1 → 1

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize79.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (* z (sqrt (+ t a))) t)
2.8b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.3b	(/ 2.0 (* t 3.0))
0.2b	(* z (sqrt (+ t a)))

rewrite80.0ms

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

25.0ms	(* z (sqrt (+ t a)))
23.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
22.0ms	(/ (* z (sqrt (+ t a))) t)
6.0ms	(/ 2.0 (* t 3.0))

series565.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

312.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
117.0ms	(* z (sqrt (+ t a)))
101.0ms	(/ (* z (sqrt (+ t a))) t)
36.0ms	(/ 2.0 (* t 3.0))

simplify2.2s

Counts: 117 → 117

prune2.5s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

2.8b	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.0b	(/ z (/ t (sqrt (+ t a))))
0.4b	(/ t (sqrt (+ t a)))
0.3b	(/ 2.0 (* t 3.0))

rewrite176.0ms

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

115.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
21.0ms	(/ z (/ t (sqrt (+ t a))))
19.0ms	(/ t (sqrt (+ t a)))
12.0ms	(/ 2.0 (* t 3.0))

series556.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

289.0ms	(- (/ z (/ t (sqrt (+ t a)))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
134.0ms	(/ t (sqrt (+ t a)))
112.0ms	(/ z (/ t (sqrt (+ t a))))
21.0ms	(/ 2.0 (* t 3.0))

simplify922.0ms

Counts: 240 → 240

prune5.2s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize102.0ms

Local error

Found 4 expressions with local error:

55.4b	(posit16->real (real->posit16 (/ t (sqrt (+ t a)))))
2.8b	(- (/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
1.0b	(/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a))))))
0.4b	(/ t (sqrt (+ t a)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 116

Calls

4 calls:

Slowest

21.0ms	(- (/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
8.0ms	(/ t (sqrt (+ t a)))
4.0ms	(/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a))))))
1.0ms	(posit16->real (real->posit16 (/ t (sqrt (+ t a)))))

series650.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

268.0ms	(- (/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a)))))) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
138.0ms	(/ z (posit16->real (real->posit16 (/ t (sqrt (+ t a))))))
132.0ms	(/ t (sqrt (+ t a)))
111.0ms	(posit16->real (real->posit16 (/ t (sqrt (+ t a)))))

simplify1.7s

Counts: 128 → 128

prune4.6s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize104.0ms

Local error

Found 4 expressions with local error:

27.4b	(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
7.3b	(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
5.7b	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))
4.4b	(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))

rewrite1.8s

Algorithm

rewrite-expression-head

Rules

766×	`associate-*l/`
764×	`associate-*r/`
524×	`frac-sub`
498×	`flip3--` `flip--`
364×	`frac-times`
240×	`sqrt-div`
162×	`associate-/l/`
120×	`flip3-+` `flip-+`
28×	`add-cbrt-cube` `add-exp-log`
16×	`distribute-rgt-in` `distribute-lft-in`
14×	`pow1`
12×	`prod-exp` `cbrt-unprod`
9×	`sub-neg`
8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `associate--r+`
7×	`associate-l`
6×	`pow-prod-down` `add-log-exp`
4×	`cbrt-undiv` `div-exp` `insert-posit16`
3×	`times-frac` `associate-/l*`
2×	`associate-r` `associate-/r/` `*-commutative`
1×	`clear-num` `associate-/r*` `frac-2neg` `diff-log` `div-sub` `div-inv` `difference-of-squares`

Counts

4 → 441

Calls

4 calls:

Slowest

760.0ms	(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
544.0ms	(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
394.0ms	(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
35.0ms	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))

series2.6s

Counts

4 → 12

Calls

4 calls:

Slowest

1.4s	(/ (- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))) (* t (* (- a (/ 5.0 6.0)) (* t 3.0))))
890.0ms	(- (* (* z (sqrt (+ t a))) (* (- a (/ 5.0 6.0)) (* t 3.0))) (* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0)))))
229.0ms	(* t (* (- b c) (- (* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0)) (* (- a (/ 5.0 6.0)) 2.0))))
72.0ms	(* (- (* a a) (* (/ 5.0 6.0) (/ 5.0 6.0))) (* t 3.0))

simplify6.4s

Counts: 453 → 453

prune17.6s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes651.0ms

Accuracy

1.3% (2.3b remaining)

Error of 3.1b against oracle of 0.8b and baseline of 3.1b

bsearch458.0ms

end0.0ms

sample4.9s

Algorithm

intervals

Results

2.1s	7853×	body	80	nan
1.9s	8000×	body	80	valid