Details

sample510.0ms

Algorithm

intervals

Results

323.0ms

516×

body

valid

simplify324.0ms

Calls

1 calls:

Slowest

323.0ms

(- (- (+ 3 (/ 2 (* r r))) (/ (* (* 0.125 (- 3 (* 2 v))) (* (* (* w w) r) r)) (- 1 v))) 4.5)

prune22.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.2b

localize44.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
0.1b	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)
0.0b	(+ (- (/ 2 (* r r)) (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)) 3)

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `associate-+l+` `*-un-lft-identity`
12×	`prod-diff` `add-cube-cbrt`
9×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`fma-def`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`pow2` `+-commutative` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `flip3-+` `pow-plus` `associate-r` `associate-l` `pow-prod-down` `prod-exp` `-commutative` `pow-prod-up` `associate-+l-` `cbrt-unprod` `flip-+` `fma-udef` `distribute-lft-out--` `difference-of-squares`

Calls

4 calls:

Slowest

38.0ms	(+ (- (/ 2 (* r r)) (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)) 3)
5.0ms	(* (* w r) (* w r))
2.0ms	(/ 2 (* r r))
0.0ms	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)

series362.0ms

Calls

4 calls:

Slowest

133.0ms	(+ (- (/ 2 (* r r)) (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)) 3)
113.0ms	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)
68.0ms	(/ 2 (* r r))
47.0ms	(* (* w r) (* w r))

simplify5.4s

Calls

36 calls:

Slowest

464.0ms	(fma 2 (/ 1 (* r r)) (- (* (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 1)))
420.0ms	(fma (sqrt (/ 2 (* r r))) (sqrt (/ 2 (* r r))) (- (* (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 1)))
399.0ms	(fma 1 (/ 2 (* r r)) (- (* (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 1)))
382.0ms	(fma (* (cbrt (/ 2 (* r r))) (cbrt (/ 2 (* r r)))) (cbrt (/ 2 (* r r))) (- (* (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 1)))
301.0ms	(fma (* (cbrt (/ 2 (* r r))) (cbrt (/ 2 (* r r)))) (cbrt (/ 2 (* r r))) (- (* (cbrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)) (* (cbrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)) (cbrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5))))))

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(/ 2 (* r r))
0.4b	(* (* w r) (* w r))
0.1b	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)
0.0b	(- (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 3)

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
6×	`add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`fma-neg`
2×	`fma-udef`
1×	`pow2` `clear-num` `associate-/r` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `associate-r` `associate-l` `pow-prod-down` `prod-exp` `associate--l+` `-commutative` `pow-prod-up` `cbrt-unprod` `div-inv` `flip--`

Calls

4 calls:

Slowest

9.0ms	(* (* w r) (* w r))
8.0ms	(- (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 3)
1.0ms	(/ 2 (* r r))
0.0ms	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)

series330.0ms

Calls

4 calls:

Slowest

119.0ms	(- (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 3)
115.0ms	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)
51.0ms	(* (* w r) (* w r))
45.0ms	(/ 2 (* r r))

simplify1.7s

Calls

21 calls:

Slowest

404.0ms	(* (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)))
280.0ms	(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))
230.0ms	(* (cbrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)) (cbrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)))
186.0ms	(sqrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5))
146.0ms	(- (* 0.25 (* (pow r 2) (pow w 2))) (+ (* 0.125 (/ (* (pow r 2) (pow w 2)) v)) (* 0.125 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))

prune1.2s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
0.2b	(/ (/ 2 r) r)
0.1b	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)
0.0b	(- (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 3)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1`
6×	`add-sqr-sqrt` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`fma-neg`
2×	`fma-udef` `div-inv`
1×	`pow2` `clear-num` `sub-neg` `frac-2neg` `pow-plus` `flip3--` `associate-r` `associate-l` `pow-prod-down` `prod-exp` `associate--l+` `*-commutative` `pow-prod-up` `cbrt-unprod` `flip--` `associate-/l/`

Calls

4 calls:

Slowest

13.0ms	(* (* w r) (* w r))
8.0ms	(- (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 3)
6.0ms	(/ (/ 2 r) r)
0.0ms	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)

series326.0ms

Calls

4 calls:

Slowest

135.0ms	(- (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5) 3)
110.0ms	(fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)
42.0ms	(/ (/ 2 r) r)
38.0ms	(* (* w r) (* w r))

simplify1.8s

Calls

23 calls:

Slowest

347.0ms	(* (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)))
293.0ms	(* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r)))
225.0ms	(* (cbrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)) (cbrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5)))
193.0ms	(sqrt (fma (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)) 4.5))
168.0ms	(- (* 0.25 (* (pow r 2) (pow w 2))) (+ (* 0.125 (/ (* (pow r 2) (pow w 2)) v)) (* 0.125 (/ (* (pow r 2) (pow w 2)) (pow v 2)))))

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (* w r) (* w r))
0.2b	(/ (/ 2 r) r)
0.1b	(* (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)))
0.0b	(/ (* (fma v -2 3) 0.125) (- 1 v))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
14×	`pow1`
10×	`associate-l`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`prod-exp` `cbrt-unprod`
6×	`times-frac`
5×	`associate-/l*`
4×	`expm1-log1p-u` `pow-prod-down` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`clear-num` `frac-2neg` `flip3--` `associate-r` `*-commutative` `flip--`
1×	`pow2` `pow-plus` `associate-*l/` `pow-prod-up` `associate-/l/`

Calls

4 calls:

Slowest

22.0ms	(* (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)))
14.0ms	(/ (* (fma v -2 3) 0.125) (- 1 v))
8.0ms	(* (* w r) (* w r))
5.0ms	(/ (/ 2 r) r)

series232.0ms

Calls

4 calls:

Slowest

92.0ms	(* (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)))
59.0ms	(/ (* (fma v -2 3) 0.125) (- 1 v))
48.0ms	(/ (/ 2 r) r)
33.0ms	(* (* w r) (* w r))

simplify8.1s

Calls

54 calls:

Slowest

1.2s	(* (/ (* (* (* (fma v -2 3) 0.125) (* (fma v -2 3) 0.125)) (* (fma v -2 3) 0.125)) (* (* (- 1 v) (- 1 v)) (- 1 v))) (* (* (* (* w r) (* w r)) (* (* w r) (* w r))) (* (* w r) (* w r))))
868.0ms	(* (/ (* (* (* (fma v -2 3) 0.125) (* (fma v -2 3) 0.125)) (* (fma v -2 3) 0.125)) (* (* (- 1 v) (- 1 v)) (- 1 v))) (* (* (* (* w r) (* w r)) (* w r)) (* (* (* w r) (* w r)) (* w r))))
609.0ms	(- 0.25 (+ (* 0.125 (/ 1 v)) (* 0.125 (/ 1 (pow v 2)))))
463.0ms	(- 0.25 (+ (* 0.125 (/ 1 v)) (* 0.125 (/ 1 (pow v 2)))))
433.0ms	(* (/ (* (fma v -2 3) 0.125) (- 1 v)) (* (* w r) (* w r)))

prune1.6s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

regimes429.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch5.0ms

end0.0ms

sample4.8s

Algorithm

intervals

Results

4.3s

16959×

body

valid