Details

sample60.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
18.0ms	259×	body	80	nan

simplify919.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b	(* 6.0 (* v v))
1.0b	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite322.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-exp-log` `add-cbrt-cube`
23×	`pow1`
18×	`associate-*r/` `prod-exp` `cbrt-unprod`
13×	`flip3--` `flip--`
12×	`add-sqr-sqrt` `sqrt-div` `pow-prod-down`
11×	`associate-r`
10×	`add-cube-cbrt` `*-un-lft-identity`
8×	`frac-times` `associate-/r/`
5×	`associate-l`
4×	`cbrt-undiv` `div-exp` `associate-*l/` `add-log-exp`
3×	`times-frac` `sqrt-prod` `-commutative` `associate-/l`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in`
1×	`frac-2neg` `clear-num` `associate-/r*` `div-inv` `difference-of-squares` `unswap-sqr`

Counts

4 → 109

Calls

4 calls:

41.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
114.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
28.0ms	(* 6.0 (* v v))
131.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.2s

Counts

4 → 12

Calls

4 calls:

119.0ms	(* (* 3.0 PI) (- 1.0 (* v v)))
364.0ms	(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
44.0ms	(* 6.0 (* v v))
636.0ms	(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.8s

Counts: 121 → 121

prune485.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
0.2b	(* 6.0 (* v v))
1.0b	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b	(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite243.0ms

Algorithm

rewrite-expression-head

Rules

91×	`sqrt-prod`
88×	`times-frac`
80×	`add-sqr-sqrt`
65×	`add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log` `add-cbrt-cube`
43×	`associate-r`
20×	`prod-exp` `cbrt-unprod`
15×	`associate-l`
14×	`cbrt-undiv` `div-exp`
12×	`associate-/l*`
11×	`pow1`
8×	`associate-/r/`
7×	`associate-/r*`
6×	`unswap-sqr`
5×	`associate-*r/`
4×	`flip3--` `sqrt-div` `pow-prod-down` `flip--` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-undiv` `associate-*l/`

Counts

4 → 200

Calls

4 calls:

29.0ms	(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
18.0ms	(* 6.0 (* v v))
13.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
174.0ms	(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.4s

Counts

4 → 12

Calls

4 calls:

252.0ms	(/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v))))
28.0ms	(* 6.0 (* v v))
303.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
848.0ms	(* (/ (sqrt 4.0) (* (* 3.0 PI) (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify776.0ms

Counts: 212 → 212

prune909.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (sqrt 4.0) (* 3.0 PI)) (- 1.0 (* v v)))
0.2b	(* 6.0 (* v v))
1.0b	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b	(* (/ (/ (sqrt 4.0) (* 3.0 PI)) (- 1.0 (* v v))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

219×	`times-frac`
162×	`add-sqr-sqrt`
113×	`sqrt-prod`
107×	`add-cube-cbrt` `*-un-lft-identity`
52×	`add-exp-log` `add-cbrt-cube`
49×	`associate-l`
43×	`associate-r`
21×	`difference-of-squares`
20×	`cbrt-undiv` `div-exp`
16×	`associate-/l*`
14×	`prod-exp` `cbrt-unprod`
13×	`div-inv`
11×	`pow1` `unswap-sqr`
10×	`associate-/r*`
8×	`associate-/r/`
4×	`flip3--` `sqrt-div` `pow-prod-down` `flip--` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-undiv` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 281

Calls

4 calls:

36.0ms	(/ (/ (sqrt 4.0) (* 3.0 PI)) (- 1.0 (* v v)))
37.0ms	(* 6.0 (* v v))
20.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
146.0ms	(* (/ (/ (sqrt 4.0) (* 3.0 PI)) (- 1.0 (* v v))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.6s

Counts

4 → 12

Calls

4 calls:

260.0ms	(/ (/ (sqrt 4.0) (* 3.0 PI)) (- 1.0 (* v v)))
51.0ms	(* 6.0 (* v v))
307.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
982.0ms	(* (/ (/ (sqrt 4.0) (* 3.0 PI)) (- 1.0 (* v v))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify907.0ms

Counts: 293 → 293

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (sqrt 4.0) PI) (sqrt (- 1.0 (* v v))))
0.2b	(* 6.0 (* v v))
1.0b	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
1.0b	(* (/ (/ (sqrt 4.0) PI) (sqrt (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite459.0ms

Algorithm

rewrite-expression-head

Rules

728×	`times-frac`
538×	`add-sqr-sqrt`
446×	`sqrt-prod`
344×	`add-cube-cbrt` `*-un-lft-identity`
163×	`associate-l`
45×	`difference-of-squares`
43×	`associate-r`
37×	`add-exp-log` `add-cbrt-cube`
36×	`unswap-sqr`
28×	`associate-/l*`
19×	`div-inv`
13×	`cbrt-undiv` `div-exp` `associate-/r*`
11×	`pow1`
9×	`prod-exp` `cbrt-unprod`
8×	`sqrt-div` `associate-/r/`
4×	`flip3--` `pow-prod-down` `flip--` `add-log-exp`
2×	`frac-2neg` `clear-num` `*-commutative`
1×	`frac-times` `sqrt-undiv` `associate-r/` `associate-l/` `associate-/l/`

Counts

4 → 543

Calls

4 calls:

43.0ms	(/ (/ (sqrt 4.0) PI) (sqrt (- 1.0 (* v v))))
36.0ms	(* 6.0 (* v v))
13.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
276.0ms	(* (/ (/ (sqrt 4.0) PI) (sqrt (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.5s

Counts

4 → 12

Calls

4 calls:

305.0ms	(/ (/ (sqrt 4.0) PI) (sqrt (- 1.0 (* v v))))
35.0ms	(* 6.0 (* v v))
610.0ms	(/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v)))))
522.0ms	(* (/ (/ (sqrt 4.0) PI) (sqrt (- 1.0 (* v v)))) (/ (sqrt 4.0) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify1.1s

Counts: 555 → 555

prune3.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes35.0ms

Accuracy

-27.1% (0.0b remaining)

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

bsearch0.0ms

simplify1.3s

end0.0ms

sample2.1s

Algorithm

intervals

Results

969.0ms	8000×	body	80	valid
696.0ms	8100×	body	80	nan