Details

sample157.0ms

Algorithm

intervals

Results

83.0ms

578×

body

valid

simplify74.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 12.5b

localize25.0ms

Local error

Found 4 expressions with local error:

1.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
4.8b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
5.1b	(* (* (* w w) r) r)
10.6b	(* (* w w) r)

rewrite509.0ms

Algorithm

rewrite-expression-head

Rules

92×	`add-exp-log` `add-cbrt-cube`
57×	`prod-exp` `cbrt-unprod`
50×	`pow1`
33×	`pow-prod-down`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity`
9×	`cbrt-undiv` `div-exp`
8×	`add-cube-cbrt`
7×	`associate-r`
5×	`times-frac` `associate-/r*`
4×	`associate-r/` `associate-l/` `add-log-exp`
3×	`flip3--` `associate-l` `*-commutative` `flip--`
2×	`associate-/r/` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`frac-2neg` `clear-num` `div-inv` `associate-/l*` `unswap-sqr`

Counts

4 → 119

Calls

4 calls:

197.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
206.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
63.0ms	(* (* (* w w) r) r)
35.0ms	(* (* w w) r)

series244.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r))
86.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (* (* w w) r) r)) (- 1.0 v))
34.0ms	(* (* (* w w) r) r)
29.0ms	(* (* w w) r)

simplify97.0ms

Counts: 131 → 131

prune308.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (fabs (* w r)) (fabs (* w r)))
0.6b	(/ 2.0 (* r r))
1.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
4.8b	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`add-sqr-sqrt` `prod-exp` `cbrt-unprod`
16×	`*-un-lft-identity`
12×	`add-cube-cbrt`
9×	`pow-prod-down`
8×	`times-frac`
7×	`cbrt-undiv` `div-exp`
6×	`associate-/r*`
4×	`associate-r/` `associate-r` `associate-l` `associate-l/` `associate-/l*` `add-log-exp`
3×	`flip3--` `swap-sqr` `flip--`
2×	`frac-2neg` `clear-num` `associate-/r/` `*-commutative` `div-inv` `associate-/l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up` `unswap-sqr`

Counts

4 → 105

Calls

4 calls:

7.0ms	(* (fabs (* w r)) (fabs (* w r)))
8.0ms	(/ 2.0 (* r r))
44.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
52.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

series159.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (fabs (* w r)) (fabs (* w r)))
31.0ms	(/ 2.0 (* r r))
45.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r))))
74.0ms	(/ (* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (* w r)) (fabs (* w r)))) (- 1.0 v))

simplify69.0ms

Counts: 117 → 117

prune379.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
0.4b	(pow (fabs (* w r)) 2)
0.6b	(/ 2.0 (* r r))
5.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

83×	`times-frac`
82×	`add-sqr-sqrt` `*-un-lft-identity`
48×	`add-cube-cbrt`
46×	`associate-r`
39×	`add-exp-log`
36×	`unpow-prod-down`
23×	`add-cbrt-cube`
17×	`distribute-lft-out--` `difference-of-squares`
13×	`prod-exp`
12×	`unpow2` `sqr-pow`
11×	`div-exp` `associate-/l*`
10×	`pow1`
7×	`cbrt-unprod`
6×	`associate-/r*`
5×	`cbrt-undiv` `associate-*r/`
4×	`pow-to-exp` `flip3--` `pow-exp` `associate-/r/` `flip--` `add-log-exp`
3×	`pow-unpow` `pow-prod-down` `div-inv`
2×	`frac-times` `frac-2neg` `associate-*l/` `clear-num`
1×	`pow-pow` `associate-l` `*-commutative`

Counts

4 → 182

Calls

4 calls:

18.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
3.0ms	(pow (fabs (* w r)) 2)
9.0ms	(/ 2.0 (* r r))
60.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

series154.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(/ (pow (fabs (* w r)) 2) (- 1.0 v))
9.0ms	(pow (fabs (* w r)) 2)
30.0ms	(/ 2.0 (* r r))
69.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (/ (pow (fabs (* w r)) 2) (- 1.0 v)))

simplify88.0ms

Counts: 194 → 194

prune661.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (fabs (* w r)) 2)
0.6b	(/ 2.0 (* r r))
5.9b	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (fabs (* w r))) (/ (sqrt (pow (fabs (* w r)) 2)) (- 1.0 v))))
9.9b	(sqrt (pow (fabs (* w r)) 2))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-exp-log`
30×	`add-cbrt-cube`
17×	`pow1`
14×	`prod-exp` `cbrt-unprod`
12×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`associate-*r/` `pow-prod-down` `sqrt-prod`
7×	`unpow-prod-down`
4×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `add-log-exp`
3×	`pow-unpow` `times-frac` `associate-/l*` `unpow2` `sqr-pow`
2×	`frac-times` `flip3--` `associate-*l/` `flip--`
1×	`pow-to-exp` `pow-pow` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r` `associate-l` `pow-exp` `clear-num` `associate-/r` `-commutative` `div-inv`

Counts

4 → 91

Calls

4 calls:

3.0ms	(pow (fabs (* w r)) 2)
11.0ms	(/ 2.0 (* r r))
81.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (fabs (* w r))) (/ (sqrt (pow (fabs (* w r)) 2)) (- 1.0 v))))
3.0ms	(sqrt (pow (fabs (* w r)) 2))

series114.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(pow (fabs (* w r)) 2)
31.0ms	(/ 2.0 (* r r))
71.0ms	(* (* 0.125 (- 3.0 (* 2.0 v))) (* (fabs (fabs (* w r))) (/ (sqrt (pow (fabs (* w r)) 2)) (- 1.0 v))))
3.0ms	(sqrt (pow (fabs (* w r)) 2))

simplify51.0ms

Counts: 103 → 103

prune359.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

regimes259.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

2.3s

17037×

body

valid