Details

sample107.0ms

Algorithm

intervals

Results

58.0ms	302×	body	80	valid
19.0ms	93×	body	80	nan

simplify167.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

167.0ms

(* w0 (sqrt (- 1 (* (pow (/ (* M D) (* 2 d)) 2) (/ h l)))))

prune19.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.0b

localize58.0ms

Local error

Found 4 expressions with local error:

12.2b	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
4.2b	(/ (* M D) (* 2 d))
4.2b	(/ (* M D) (* 2 d))
4.0b	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

rewrite220.0ms

Algorithm

rewrite-expression-head

Rules

368×	`add-cbrt-cube` `add-exp-log`
190×	`prod-exp` `cbrt-unprod`
114×	`cbrt-undiv` `div-exp`
16×	`add-sqr-sqrt`
13×	`associate-r`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
10×	`pow1`
5×	`frac-times` `associate-*l/`
4×	`insert-posit16` `add-log-exp`
3×	`pow-prod-down` `associate-*r/` `sqrt-prod` `div-inv`
2×	`clear-num` `associate-/r` `frac-2neg` `sqrt-div` `associate-/l` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-l` `*-commutative` `flip--`

Counts

4 → 198

Calls

4 calls:

Slowest

184.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
13.0ms	(/ (* M D) (* 2 d))
12.0ms	(/ (* M D) (* 2 d))
4.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

series380.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
109.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
47.0ms	(/ (* M D) (* 2 d))
47.0ms	(/ (* M D) (* 2 d))

simplify50.7s

Counts

172 → 210

Calls

172 calls:

Slowest

2.8s	(* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* (/ h l) (/ h l)) (/ h l)))
2.7s	(* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* (/ h l) (/ h l)) (/ h l)))
2.6s	(* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))) (/ (* (* h h) h) (* (* l l) l)))
2.4s	(* (* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* (/ h l) (/ h l)) (/ h l)))
2.3s	(* (* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d))) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d)))) (/ (* (* h h) h) (* (* l l) l)))

prune3.8s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.9b

localize36.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (* (* (* M D) (/ (* M D) (* 2 d))) h) (* (* 2 d) l))
4.2b	(/ (* M D) (* 2 d))
4.0b	(sqrt (- 1 (/ (* (* (* M D) (/ (* M D) (* 2 d))) h) (* (* 2 d) l))))
3.4b	(* (* (* M D) (/ (* M D) (* 2 d))) h)

rewrite408.0ms

Algorithm

rewrite-expression-head

Rules

303×	`add-cbrt-cube` `add-exp-log`
176×	`prod-exp` `cbrt-unprod`
72×	`cbrt-undiv` `div-exp`
14×	`pow1`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
6×	`pow-prod-down` `add-cube-cbrt` `sqrt-prod`
4×	`insert-posit16` `add-log-exp`
3×	`associate-r`
2×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `sqrt-div` `associate-l/` `associate-r/` `div-inv` `associate-/l` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-l` `*-commutative` `flip--` `distribute-lft-out--` `associate-/l/`

Counts

4 → 167

Calls

4 calls:

Slowest

187.0ms	(/ (* (* (* M D) (/ (* M D) (* 2 d))) h) (* (* 2 d) l))
145.0ms	(* (* (* M D) (/ (* M D) (* 2 d))) h)
51.0ms	(sqrt (- 1 (/ (* (* (* M D) (/ (* M D) (* 2 d))) h) (* (* 2 d) l))))
14.0ms	(/ (* M D) (* 2 d))

series497.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

206.0ms	(sqrt (- 1 (/ (* (* (* M D) (/ (* M D) (* 2 d))) h) (* (* 2 d) l))))
150.0ms	(/ (* (* (* M D) (/ (* M D) (* 2 d))) h) (* (* 2 d) l))
92.0ms	(* (* (* M D) (/ (* M D) (* 2 d))) h)
49.0ms	(/ (* M D) (* 2 d))

simplify45.7s

Counts

137 → 179

Calls

137 calls:

Slowest

2.5s	(* (* (* (* (* M M) M) (* (* D D) D)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* h h) h))
2.1s	(* (* (* (* (* M M) M) (* (* D D) D)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* h h) h))
2.0s	(* (* (* (* (* M D) (* M D)) (* M D)) (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* h h) h))
1.9s	(* (* (* (* (* M M) M) (* (* D D) D)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 2) 2) (* (* d d) d)))) (* (* h h) h))
1.8s	(* (* (* (* (* M D) (* M D)) (* M D)) (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d)))) (* (* h h) h))

prune3.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 6.9b

localize39.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
5.7b	(* (/ (* M D) (* 2 d)) h)
4.2b	(/ (* M D) (* 2 d))
4.0b	(sqrt (- 1 (/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))))

rewrite262.0ms

Algorithm

rewrite-expression-head

Rules

283×	`add-cbrt-cube` `add-exp-log`
160×	`prod-exp` `cbrt-unprod`
71×	`cbrt-undiv` `div-exp`
13×	`add-sqr-sqrt`
10×	`*-un-lft-identity`
7×	`pow1` `add-cube-cbrt`
6×	`sqrt-prod`
5×	`associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`times-frac` `associate-r` `div-inv`
2×	`clear-num` `associate-/r` `frac-2neg` `sqrt-div` `associate-l/` `associate-/l*` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `pow-prod-down` `associate-r/` `-commutative` `flip--` `distribute-lft-out--` `unswap-sqr` `associate-/l/`

Counts

4 → 164

Calls

4 calls:

Slowest

126.0ms	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
56.0ms	(sqrt (- 1 (/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))))
49.0ms	(* (/ (* M D) (* 2 d)) h)
23.0ms	(/ (* M D) (* 2 d))

series425.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

185.0ms	(sqrt (- 1 (/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))))
133.0ms	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
74.0ms	(* (/ (* M D) (* 2 d)) h)
33.0ms	(/ (* M D) (* 2 d))

simplify34.7s

Counts

134 → 176

Calls

134 calls:

Slowest

1.4s	(sqrt (- (* 1 1) (* (/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l)) (/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l)))))
1.3s	(sqrt (- (pow 1 3) (pow (/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l)) 3)))
1.2s	(* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))
1.1s	(* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))
880.0ms	(* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (* (* h h) h))

prune3.3s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 6.9b

localize59.0ms

Local error

Found 4 expressions with local error:

8.4b	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
8.4b	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
5.7b	(* (/ (* M D) (* 2 d)) h)
5.7b	(* (/ (* M D) (* 2 d)) h)

rewrite376.0ms

Algorithm

rewrite-expression-head

Rules

538×	`add-cbrt-cube` `add-exp-log`
312×	`prod-exp` `cbrt-unprod`
134×	`cbrt-undiv` `div-exp`
12×	`add-sqr-sqrt`
10×	`associate-l`
8×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`times-frac` `associate-*l/` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `pow-prod-down` `associate-r/` `-commutative` `associate-/l` `unswap-sqr` `associate-/l/`

Counts

4 → 246

Calls

4 calls:

Slowest

141.0ms	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
115.0ms	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
50.0ms	(* (/ (* M D) (* 2 d)) h)
50.0ms	(* (/ (* M D) (* 2 d)) h)

series371.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

116.0ms	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
114.0ms	(/ (* (* M D) (* (/ (* M D) (* 2 d)) h)) (* (* 2 d) l))
83.0ms	(* (/ (* M D) (* 2 d)) h)
57.0ms	(* (/ (* M D) (* 2 d)) h)

simplify50.7s

Counts

216 → 258

Calls

216 calls:

Slowest

1.3s	(* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 2) 2) (* (* d d) d))) (* (* h h) h))
1.2s	(* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))
1.1s	(* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))
1.0s	(* (/ (* (* (* M M) M) (* (* D D) D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))
1.0s	(* (/ (* (* (* M D) (* M D)) (* M D)) (* (* (* 2 d) (* 2 d)) (* 2 d))) (* (* h h) h))

prune6.6s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 6.9b

regimes1.4s

Accuracy

69.3% (1.1b remaining)

Error of 8.0b against oracle of 6.9b and baseline of 10.6b

bsearch8.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

1.9s	9324×	body	80	valid
1.1s	3022×	body	80	nan