Details

sample103.0ms

Algorithm

intervals

Results

41.0ms	274×	body	80	nan
40.0ms	256×	body	80	valid

simplify2.0s

Counts: 1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize56.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) t) (sqrt (fma (* -6 v) v 2)))
0.4b	(/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) t)
0.0b	(* PI (- 1 (* v v)))
0.0b	(/ (fma -5 (* v v) 1) (* PI (- 1 (* v v))))

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

480×	`times-frac`
207×	`add-sqr-sqrt`
205×	`*-un-lft-identity`
204×	`add-cube-cbrt`
96×	`sqrt-prod`
54×	`associate-*r/`
52×	`associate-/r/`
43×	`associate-/l*`
35×	`div-inv`
34×	`add-cbrt-cube` `add-exp-log`
27×	`flip3--` `flip--`
16×	`cbrt-undiv` `div-exp`
10×	`associate-/r*`
6×	`pow1` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-l`
2×	`sub-neg` `difference-of-squares` `associate-/l/`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

4 → 365

Calls

4 calls:

Slowest

30.0ms	(/ (/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) t) (sqrt (fma (* -6 v) v 2)))
19.0ms	(/ (fma -5 (* v v) 1) (* PI (- 1 (* v v))))
18.0ms	(* PI (- 1 (* v v)))
15.0ms	(/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) t)

series934.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

526.0ms	(/ (/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) t) (sqrt (fma (* -6 v) v 2)))
171.0ms	(/ (fma -5 (* v v) 1) (* PI (- 1 (* v v))))
149.0ms	(/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) t)
87.0ms	(* PI (- 1 (* v v)))

simplify1.3s

Counts: 606 → 377

prune5.0s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (/ (* (fma -5 (* v v) 1) (/ 1 (* PI (- 1 (* v v))))) t) (sqrt (fma (* -6 v) v 2)))
0.4b	(/ (* (fma -5 (* v v) 1) (/ 1 (* PI (- 1 (* v v))))) t)
0.0b	(* PI (- 1 (* v v)))
0.0b	(- 1 (* v v))

rewrite180.0ms

Algorithm

rewrite-expression-head

Rules

72×	`add-exp-log`
66×	`times-frac`
46×	`add-sqr-sqrt`
44×	`*-un-lft-identity`
42×	`add-cube-cbrt`
40×	`add-cbrt-cube`
33×	`div-exp`
24×	`sqrt-prod`
21×	`prod-exp`
17×	`cbrt-undiv`
9×	`associate-/r*` `prod-diff` `cbrt-unprod` `div-inv`
8×	`associate-/l*`
6×	`pow1` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `difference-of-squares`
3×	`sub-neg` `fma-neg` `associate-l` `associate-*r/` `associate-/l/`
2×	`clear-num` `frac-2neg` `flip3--` `flip--`
1×	`diff-log` `pow-prod-down` `un-div-inv` `*-commutative` `unswap-sqr`

Counts

4 → 175

Calls

4 calls:

Slowest

76.0ms	(/ (/ (* (fma -5 (* v v) 1) (/ 1 (* PI (- 1 (* v v))))) t) (sqrt (fma (* -6 v) v 2)))
59.0ms	(/ (* (fma -5 (* v v) 1) (/ 1 (* PI (- 1 (* v v))))) t)
29.0ms	(* PI (- 1 (* v v)))
10.0ms	(- 1 (* v v))

series850.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

533.0ms	(/ (/ (* (fma -5 (* v v) 1) (/ 1 (* PI (- 1 (* v v))))) t) (sqrt (fma (* -6 v) v 2)))
167.0ms	(/ (* (fma -5 (* v v) 1) (/ 1 (* PI (- 1 (* v v))))) t)
93.0ms	(* PI (- 1 (* v v)))
56.0ms	(- 1 (* v v))

simplify645.0ms

Counts: 251 → 187

prune2.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (fma (* -6 v) v 2)) t)
0.4b	(/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) (* (sqrt (fma (* -6 v) v 2)) t))
0.0b	(* PI (- 1 (* v v)))
0.0b	(/ (fma -5 (* v v) 1) (* PI (- 1 (* v v))))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-cbrt-cube` `add-exp-log`
24×	`add-sqr-sqrt`
18×	`*-un-lft-identity` `times-frac`
17×	`add-cube-cbrt`
12×	`cbrt-undiv` `div-exp` `associate-/l*`
9×	`associate-l`
8×	`pow1` `associate-r` `prod-exp` `associate-*r/` `cbrt-unprod`
6×	`prod-diff` `associate-/r/`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `flip3--` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--` `add-log-exp`
3×	`unswap-sqr`
2×	`clear-num` `associate-/r` `sub-neg` `frac-2neg` `pow-prod-down` `-commutative` `difference-of-squares`
1×	`associate-/l/`

Counts

4 → 131

Calls

4 calls:

Slowest

31.0ms	(* PI (- 1 (* v v)))
20.0ms	(/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) (* (sqrt (fma (* -6 v) v 2)) t))
16.0ms	(/ (fma -5 (* v v) 1) (* PI (- 1 (* v v))))
10.0ms	(* (sqrt (fma (* -6 v) v 2)) t)

series890.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

419.0ms	(/ (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) (* (sqrt (fma (* -6 v) v 2)) t))
222.0ms	(* (sqrt (fma (* -6 v) v 2)) t)
157.0ms	(/ (fma -5 (* v v) 1) (* PI (- 1 (* v v))))
92.0ms	(* PI (- 1 (* v v)))

simplify408.0ms

Counts: 168 → 143

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (sqrt (fma (* -6 v) v 2)) t)
0.4b	(* (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) (/ 1 (* (sqrt (fma (* -6 v) v 2)) t)))
0.3b	(/ 1 (* (sqrt (fma (* -6 v) v 2)) t))
0.0b	(* PI (- 1 (* v v)))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

97×	`add-exp-log`
49×	`add-cbrt-cube`
42×	`prod-exp`
30×	`div-exp`
26×	`add-sqr-sqrt`
18×	`-un-lft-identity` `associate-l*` `cbrt-unprod`
17×	`add-cube-cbrt`
15×	`associate-r`
14×	`cbrt-undiv`
13×	`pow1`
9×	`times-frac`
8×	`rec-exp` `1-exp`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
4×	`expm1-log1p-u` `pow-prod-down` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`-commutative` `div-inv` `associate-/l`
2×	`sub-neg` `flip3--` `associate-/r/` `pow-flip` `flip--` `difference-of-squares`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `un-div-inv` `inv-pow`

Counts

4 → 154

Calls

4 calls:

Slowest

62.0ms	(* (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) (/ 1 (* (sqrt (fma (* -6 v) v 2)) t)))
14.0ms	(* PI (- 1 (* v v)))
13.0ms	(/ 1 (* (sqrt (fma (* -6 v) v 2)) t))
13.0ms	(* (sqrt (fma (* -6 v) v 2)) t)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

541.0ms	(* (/ (fma -5 (* v v) 1) (* PI (- 1 (* v v)))) (/ 1 (* (sqrt (fma (* -6 v) v 2)) t)))
266.0ms	(/ 1 (* (sqrt (fma (* -6 v) v 2)) t))
222.0ms	(* (sqrt (fma (* -6 v) v 2)) t)
109.0ms	(* PI (- 1 (* v v)))

simplify426.0ms

Counts: 180 → 166

prune2.2s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch3.0ms

end0.0ms

sample3.9s

Algorithm

intervals

Results

2.0s	8101×	body	80	nan
1.6s	8000×	body	80	valid