Details

sample146.0ms

Algorithm

intervals

Results

59.0ms	256×	body	80	valid
56.0ms	266×	body	80	nan

simplify1.6s

Counts: 1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize43.0ms

Local error

Found 4 expressions with local error:

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

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 98

Calls

4 calls:

Slowest

90.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
26.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
25.0ms	(* 5 (* v v))
7.0ms	(* PI t)

series911.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

574.0ms	(/ (- 1 (* 5 (* v v))) (* (* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v)))))) (- 1 (* v v))))
277.0ms	(* (* PI t) (sqrt (* 2 (- 1 (* 3 (* v v))))))
32.0ms	(* PI t)
28.0ms	(* 5 (* v v))

simplify1.4s

Counts: 110 → 110

prune1.7s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize80.0ms

Local error

Found 4 expressions with local error:

5.3b	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
0.4b	(* (sqrt 2) t)
0.4b	(* (sqrt 2) t)
0.3b	(/ (/ 1 (* (sqrt 2) t)) PI)

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

61×	`add-exp-log`
52×	`times-frac`
44×	`add-sqr-sqrt`
36×	`*-un-lft-identity` `add-cube-cbrt`
35×	`add-cbrt-cube`
28×	`div-exp`
15×	`prod-exp`
14×	`cbrt-undiv`
12×	`associate-l` `associate-/l*`
10×	`div-inv`
8×	`pow1` `sqrt-prod`
7×	`cbrt-unprod`
6×	`associate-/r` `associate-r*`
4×	`insert-posit16` `add-log-exp` `unswap-sqr`
2×	`pow-to-exp` `rec-exp` `clear-num` `frac-2neg` `1-exp` `pow-prod-down` `pow-exp` `*-commutative` `associate-/l/`

Counts

4 → 148

Calls

4 calls:

Slowest

31.0ms	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
15.0ms	(/ (/ 1 (* (sqrt 2) t)) PI)
14.0ms	(* (sqrt 2) t)
11.0ms	(* (sqrt 2) t)

series414.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

157.0ms	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
116.0ms	(/ (/ 1 (* (sqrt 2) t)) PI)
86.0ms	(* (sqrt 2) t)
56.0ms	(* (sqrt 2) t)

simplify782.0ms

Counts: 160 → 160

prune2.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize92.0ms

Local error

Found 4 expressions with local error:

5.3b	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
0.4b	(* (sqrt 2) t)
0.3b	(/ 1 (* t (* (sqrt 2) PI)))
0.2b	(* t (* (sqrt 2) PI))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-exp-log`
38×	`add-cbrt-cube`
24×	`add-sqr-sqrt`
23×	`div-exp` `prod-exp`
22×	`times-frac`
20×	`*-un-lft-identity` `add-cube-cbrt`
17×	`pow1`
12×	`cbrt-undiv`
11×	`cbrt-unprod`
9×	`associate-l`
8×	`associate-/l*`
7×	`pow-prod-down`
6×	`div-inv`
4×	`associate-/r` `associate-r*` `sqrt-prod` `insert-posit16` `add-log-exp`
3×	`rec-exp` `1-exp` `pow-flip`
2×	`pow-to-exp` `clear-num` `frac-2neg` `pow-exp` `*-commutative` `unswap-sqr`
1×	`inv-pow` `associate-/l/`

Counts

4 → 125

Calls

4 calls:

Slowest

35.0ms	(/ 1 (* t (* (sqrt 2) PI)))
26.0ms	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
19.0ms	(* t (* (sqrt 2) PI))
7.0ms	(* (sqrt 2) t)

series516.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

219.0ms	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
120.0ms	(/ 1 (* t (* (sqrt 2) PI)))
115.0ms	(* t (* (sqrt 2) PI))
62.0ms	(* (sqrt 2) t)

simplify662.0ms

Counts: 137 → 137

prune2.4s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize83.0ms

Local error

Found 4 expressions with local error:

5.3b	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
0.4b	(* (sqrt 2) t)
0.3b	(/ (/ 1 t) (* PI (sqrt 2)))
0.2b	(/ v PI)

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

64×	`add-exp-log`
59×	`times-frac`
43×	`add-sqr-sqrt`
39×	`*-un-lft-identity` `add-cube-cbrt`
38×	`add-cbrt-cube`
30×	`div-exp`
21×	`associate-/l*`
16×	`cbrt-undiv`
15×	`prod-exp`
9×	`div-inv`
7×	`associate-/r*` `cbrt-unprod`
6×	`pow1` `associate-l`
4×	`sqrt-prod` `insert-posit16` `add-log-exp`
3×	`clear-num` `frac-2neg` `associate-r`
2×	`pow-to-exp` `rec-exp` `1-exp` `pow-exp` `unswap-sqr` `associate-/l/`
1×	`pow-prod-down` `*-commutative`

Counts

4 → 151

Calls

4 calls:

Slowest

31.0ms	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
14.0ms	(* (sqrt 2) t)
13.0ms	(/ (/ 1 t) (* PI (sqrt 2)))
4.0ms	(/ v PI)

series420.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

181.0ms	(/ (/ (* (pow v 4) 53/8) (* PI (sqrt 2))) t)
139.0ms	(/ (/ 1 t) (* PI (sqrt 2)))
62.0ms	(* (sqrt 2) t)
37.0ms	(/ v PI)

simplify872.0ms

Counts: 163 → 163

prune2.8s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes136.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch5.0ms

end0.0ms

sample4.0s

Algorithm

intervals

Results

2.0s	8000×	body	80	valid
1.6s	7791×	body	80	nan