Details

sample252.0ms

Algorithm

intervals

Results

114.0ms	256×	body	80	valid
74.0ms	236×	body	80	nan

simplify2.8s

Counts: 1 → 1

prune49.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize78.0ms

Local error

Found 4 expressions with local error:

2.2b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
0.2b	(/ (/ 2.0 t) 3.0)
0.2b	(/ (sqrt (+ a t)) t)
0.1b	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))

rewrite303.0ms

Algorithm

rewrite-expression-head

Rules

431×	`add-sqr-sqrt`
301×	`times-frac`
255×	`*-un-lft-identity`
188×	`add-cube-cbrt`
182×	`prod-diff`
94×	`distribute-rgt-in` `distribute-lft-in`
81×	`difference-of-squares`
30×	`distribute-lft-out--`
20×	`div-inv` `associate-/l*`
16×	`sqrt-prod`
13×	`add-cbrt-cube` `add-exp-log`
11×	`flip3--` `flip--`
8×	`frac-times`
7×	`associate-r`
6×	`pow1` `associate-/r*` `frac-sub`
5×	`associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `associate-*r/` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `sub-neg` `frac-2neg` `sqrt-div` `associate-*l/` `associate--r-`
1×	`flip3-+` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `fma-udef` `unswap-sqr`

Counts

4 → 361

Calls

4 calls:

Slowest

268.0ms	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))
10.0ms	(/ (sqrt (+ a t)) t)
9.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))

series554.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

338.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
95.0ms	(/ (sqrt (+ a t)) t)
86.0ms	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))
34.0ms	(/ (/ 2.0 t) 3.0)

simplify1.2s

Counts: 373 → 373

prune10.1s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.5b

localize82.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ (* z (sqrt (+ t a))) t)
2.0b	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
0.4b	(/ 2.0 (* t 3.0))
0.2b	(* z (sqrt (+ t a)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

75×	`*-un-lft-identity`
63×	`prod-diff`
62×	`associate--r+`
49×	`add-sqr-sqrt`
45×	`add-cube-cbrt`
36×	`times-frac`
31×	`distribute-rgt-in` `distribute-lft-in`
20×	`frac-sub`
16×	`add-cbrt-cube` `add-exp-log`
15×	`distribute-lft-out`
12×	`div-inv`
9×	`flip3--` `flip--`
8×	`frac-times` `associate-*r/`
7×	`fma-neg` `associate-r`
6×	`pow1` `add-log-exp`
5×	`flip3-+` `sqrt-prod` `flip-+`
4×	`expm1-log1p-u` `cbrt-undiv` `associate-/r` `sqrt-div` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l`
3×	`sub-neg` `associate-l` `prod-exp` `cbrt-unprod`
2×	`clear-num` `frac-2neg` `associate-*l/` `associate--l+` `unswap-sqr` `associate-/l/`
1×	`diff-log` `pow-prod-down` `*-commutative`

Counts

4 → 183

Calls

4 calls:

Slowest

43.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
26.0ms	(* z (sqrt (+ t a)))
15.0ms	(/ (* z (sqrt (+ t a))) t)
7.0ms	(/ 2.0 (* t 3.0))

series541.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

318.0ms	(- (/ (* z (sqrt (+ t a))) t) (* (- b c) (- (+ a (/ 5.0 6.0)) (/ 2.0 (* t 3.0)))))
115.0ms	(/ (* z (sqrt (+ t a))) t)
88.0ms	(* z (sqrt (+ t a)))
19.0ms	(/ 2.0 (* t 3.0))

simplify696.0ms

Counts: 195 → 195

prune4.6s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.3b

localize103.0ms

Local error

Found 4 expressions with local error:

60.0b	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
2.2b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))
0.2b	(/ (/ 2.0 t) 3.0)
0.2b	(/ (sqrt (+ a t)) t)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

96×	`times-frac`
70×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`associate-/l*`
16×	`sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out` `add-log-exp`
3×	`associate-/l/`
2×	`clear-num` `frac-2neg` `sqrt-div`
1×	`flip3-+` `flip-+` `fma-udef` `remove-posit16`

Counts

4 → 143

Calls

4 calls:

Slowest

19.0ms	(/ (sqrt (+ a t)) t)
7.0ms	(/ (/ 2.0 t) 3.0)
0.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
0.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))

series436.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

290.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))
84.0ms	(/ (sqrt (+ a t)) t)
35.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
27.0ms	(/ (/ 2.0 t) 3.0)

simplify845.0ms

Counts: 155 → 155

prune5.5s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize122.0ms

Local error

Found 4 expressions with local error:

13.7b	(posit16->real (real->posit16 (log (exp (/ (/ 2.0 t) 3.0)))))
3.3b	(log (exp (/ (/ 2.0 t) 3.0)))
1.2b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (log (exp (/ (/ 2.0 t) 3.0))))) a))))
0.2b	(/ (/ 2.0 t) 3.0)

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

141×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
44×	`log-pow`
43×	`exp-prod`
13×	`associate-/l*`
9×	`add-cbrt-cube` `add-exp-log` `div-inv`
5×	`pow1`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `log-prod` `associate-/r*` `div-exp`
1×	`clear-num` `frac-2neg` `rem-log-exp` `fma-udef` `remove-posit16` `associate-/l/`

Counts

4 → 153

Calls

4 calls:

Slowest

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

series367.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

278.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (log (exp (/ (/ 2.0 t) 3.0))))) a))))
33.0ms	(posit16->real (real->posit16 (log (exp (/ (/ 2.0 t) 3.0)))))
29.0ms	(/ (/ 2.0 t) 3.0)
27.0ms	(log (exp (/ (/ 2.0 t) 3.0)))

simplify1.4s

Counts: 165 → 165

prune6.2s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes1.4s

Accuracy

19.8% (2.8b remaining)

Error of 3.3b against oracle of 0.5b and baseline of 4.0b

bsearch1.1s

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	7854×	body	80	nan
2.1s	8000×	body	80	valid