Details

sample191.0ms

Algorithm

intervals

Results

68.0ms	249×	body	80	nan
67.0ms	256×	body	80	valid

simplify3.0s

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize82.0ms

Local error

Found 4 expressions with local error:

1.4b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
0.3b	(/ (/ 2.0 t) 3.0)
0.3b	(/ (sqrt (+ a t)) t)
0.1b	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))

rewrite260.0ms

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

192.0ms	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))
24.0ms	(/ (sqrt (+ a t)) t)
24.0ms	(/ (/ 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))))

series548.0ms

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))))
92.0ms	(* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a)))
83.0ms	(/ (sqrt (+ a t)) t)
34.0ms	(/ (/ 2.0 t) 3.0)

simplify1.3s

Counts: 373 → 373

prune10.0s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

60.2b	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
1.4b	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))
0.3b	(/ (/ 2.0 t) 3.0)
0.3b	(/ (sqrt (+ a t)) t)

rewrite42.0ms

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

21.0ms	(/ (sqrt (+ a t)) t)
15.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
1.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))

series410.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

250.0ms	(fma (/ (sqrt (+ a t)) t) z (* (- c b) (- (/ 5.0 6.0) (- (posit16->real (real->posit16 (/ (/ 2.0 t) 3.0))) a))))
95.0ms	(/ (sqrt (+ a t)) t)
40.0ms	(posit16->real (real->posit16 (/ (/ 2.0 t) 3.0)))
24.0ms	(/ (/ 2.0 t) 3.0)

simplify866.0ms

Counts: 155 → 155

prune5.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize129.0ms

Local error

Found 4 expressions with local error:

57.2b	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))
1.4b	(fma (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
0.3b	(/ (/ 2.0 t) 3.0)
0.3b	(/ (sqrt (+ a t)) t)

rewrite41.0ms

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

21.0ms	(/ (sqrt (+ a t)) t)
15.0ms	(/ (/ 2.0 t) 3.0)
1.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))
0.0ms	(fma (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))

series517.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

308.0ms	(fma (posit16->real (real->posit16 (/ (sqrt (+ a t)) t))) z (* (- c b) (- (/ 5.0 6.0) (- (/ (/ 2.0 t) 3.0) a))))
101.0ms	(/ (sqrt (+ a t)) t)
89.0ms	(posit16->real (real->posit16 (/ (sqrt (+ a t)) t)))
19.0ms	(/ (/ 2.0 t) 3.0)

simplify712.0ms

Counts: 155 → 155

prune6.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0.0b

regimes688.0ms

Accuracy

16.8% (3.5b remaining)

Error of 4.5b against oracle of 1.0b and baseline of 5.2b

bsearch616.0ms

end0.0ms

sample6.2s

Algorithm

intervals

Results

2.5s	7754×	body	80	nan
2.3s	8000×	body	80	valid