Details

sample79.0ms

Algorithm

intervals

Results

32.0ms	266×	body	80	nan
29.0ms	256×	body	80	valid

simplify1.8s

Counts: 1 → 1

prune15.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize57.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))) (* t PI))
0.3b	(/ (- 1 (* (* v v) 5)) (* (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))) (* t PI)))
0.2b	(* t PI)
0.2b	(* (* v v) 5)

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-cbrt-cube` `add-exp-log`
16×	`pow1`
13×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-r` `associate-l` `pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `-commutative` `associate-/l`
2×	`unswap-sqr` `associate-/l/`
1×	`clear-num` `associate-/r*` `frac-2neg` `flip3--` `div-sub` `div-inv` `flip--`

Counts

4 → 93

Calls

4 calls:

Slowest

23.0ms	(* (* v v) 5)
22.0ms	(/ (- 1 (* (* v v) 5)) (* (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))) (* t PI)))
21.0ms	(* (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))) (* t PI))
5.0ms	(* t PI)

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

746.0ms	(/ (- 1 (* (* v v) 5)) (* (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))) (* t PI)))
580.0ms	(* (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))) (* t PI))
42.0ms	(* t PI)
34.0ms	(* (* v v) 5)

simplify1.2s

Counts: 105 → 105

prune2.1s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize236.0ms

Local error

Found 4 expressions with local error:

6.3b	(/ (* v v) t)
5.9b	(/ (* (sqrt 2) (* t PI)) (* v v))
5.3b	(* (/ 27/2 t) (/ (pow v 4) (* PI (pow (sqrt 2) 5))))
5.3b	(/ (pow v 4) (* (sqrt 2) (* t PI)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

147×	`add-exp-log`
63×	`prod-exp`
60×	`add-cbrt-cube`
54×	`div-exp`
28×	`times-frac`
25×	`add-sqr-sqrt`
21×	`cbrt-unprod`
20×	`*-un-lft-identity` `add-cube-cbrt`
18×	`cbrt-undiv`
17×	`pow-to-exp` `pow-exp`
13×	`associate-l`
11×	`associate-r`
9×	`unpow-prod-down` `associate-/l*`
6×	`pow1`
5×	`associate-/r*` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`clear-num` `frac-2neg` `sqr-pow`
2×	`unswap-sqr`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

4 → 165

Calls

4 calls:

Slowest

43.0ms	(/ (* (sqrt 2) (* t PI)) (* v v))
27.0ms	(* (/ 27/2 t) (/ (pow v 4) (* PI (pow (sqrt 2) 5))))
17.0ms	(/ (* v v) t)
16.0ms	(/ (pow v 4) (* (sqrt 2) (* t PI)))

series844.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

473.0ms	(* (/ 27/2 t) (/ (pow v 4) (* PI (pow (sqrt 2) 5))))
200.0ms	(/ (pow v 4) (* (sqrt 2) (* t PI)))
138.0ms	(/ (* (sqrt 2) (* t PI)) (* v v))
33.0ms	(/ (* v v) t)

simplify1.4s

Counts: 177 → 177

prune5.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
0.5b	(/ (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))) (* t PI))
0.2b	(* t PI)
0.2b	(* (* v v) 5)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

40×	`times-frac`
32×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `add-cube-cbrt`
25×	`add-cbrt-cube` `add-exp-log`
16×	`associate-/l*`
11×	`pow1`
7×	`cbrt-undiv` `div-exp`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-/r` `associate-l*` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`div-sub` `associate-/l/`
2×	`clear-num` `frac-2neg` `*-commutative` `unswap-sqr`
1×	`flip3--` `flip--`

Counts

4 → 126

Calls

4 calls:

Slowest

29.0ms	(* (* v v) 5)
29.0ms	(/ (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))) (* t PI))
24.0ms	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
16.0ms	(* t PI)

series1.4s

Counts

4 → 12

Calls

4 calls:

Slowest

822.0ms	(/ (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))) (* t PI))
522.0ms	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
53.0ms	(* (* v v) 5)
27.0ms	(* t PI)

simplify1.3s

Counts: 138 → 138

prune2.1s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize97.0ms

Local error

Found 4 expressions with local error:

1.0b	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
1.0b	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
1.0b	(sqrt (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))))
1.0b	(sqrt (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
38×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
26×	`sqrt-prod`
8×	`add-cbrt-cube` `add-exp-log`
6×	`pow1` `associate-/r` `associate-/l`
4×	`expm1-log1p-u` `rem-sqrt-square` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp` `associate-/l/`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `sqrt-pow1` `flip3--` `pow1/2` `sqrt-div` `div-sub` `div-exp` `flip--`

Counts

4 → 122

Calls

4 calls:

Slowest

18.0ms	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
13.0ms	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
11.0ms	(sqrt (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))))
10.0ms	(sqrt (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))))

series2.1s

Counts

4 → 12

Calls

4 calls:

Slowest

596.0ms	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
588.0ms	(/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2))))
489.0ms	(sqrt (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))))
429.0ms	(sqrt (/ (- 1 (* (* v v) 5)) (fma (- (* v v)) (sqrt (fma (- (* v v)) (* 2 3) 2)) (sqrt (fma (- (* v v)) (* 2 3) 2)))))

simplify916.0ms

Counts: 134 → 134

prune2.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes329.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch14.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

1.9s	7791×	body	80	nan
1.7s	8000×	body	80	valid