Details

sample146.0ms

Algorithm

intervals

Results

66.0ms	298×	body	80	valid
42.0ms	113×	body	80	nan

simplify1.7s

Counts: 1 → 1

prune22.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize33.0ms

Local error

Found 4 expressions with local error:

12.3b	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))
4.3b	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

rewrite253.0ms

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

190.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
22.0ms	(/ (* M D) (* 2 d))
21.0ms	(/ (* M D) (* 2 d))
8.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

series457.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

211.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
146.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
52.0ms	(/ (* M D) (* 2 d))
48.0ms	(/ (* M D) (* 2 d))

simplify2.0s

Counts: 210 → 210

prune3.5s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.4b

localize57.0ms

Local error

Found 4 expressions with local error:

6.9b	(cbrt (* (- 1 (* (/ (* M D) (* 2 d)) (/ (* (/ (* M D) (* 2 d)) h) l))) (sqrt (- 1 (* (/ (* M D) (* 2 d)) (/ (* (/ (* M D) (* 2 d)) h) l))))))
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-cbrt-cube` `add-exp-log`
12×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
8×	`cbrt-div`
6×	`flip3--` `sqrt-div` `flip--`
5×	`add-sqr-sqrt`
4×	`frac-times` `pow1` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `add-log-exp`
3×	`clear-num` `associate-/r` `frac-2neg` `times-frac` `div-inv` `associate-/l`
2×	`associate-l/` `associate-r/`
1×	`cbrt-prod` `pow1/3` `pow3` `rem-cbrt-cube`

Counts

4 → 85

Calls

4 calls:

Slowest

14.0ms	(/ (* M D) (* 2 d))
11.0ms	(/ (* M D) (* 2 d))
11.0ms	(/ (* M D) (* 2 d))
10.0ms	(cbrt (* (- 1 (* (/ (* M D) (* 2 d)) (/ (* (/ (* M D) (* 2 d)) h) l))) (sqrt (- 1 (* (/ (* M D) (* 2 d)) (/ (* (/ (* M D) (* 2 d)) h) l))))))

series257.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

158.0ms	(cbrt (* (- 1 (* (/ (* M D) (* 2 d)) (/ (* (/ (* M D) (* 2 d)) h) l))) (sqrt (- 1 (* (/ (* M D) (* 2 d)) (/ (* (/ (* M D) (* 2 d)) h) l))))))
35.0ms	(/ (* M D) (* 2 d))
33.0ms	(/ (* M D) (* 2 d))
30.0ms	(/ (* M D) (* 2 d))

simplify6.3s

Counts: 97 → 97

prune2.0s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.2b

localize34.0ms

Local error

Found 4 expressions with local error:

6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))
6.2b	(* (/ (* M D) (* 2 d)) h)
5.9b	(/ (* (/ (* M D) (* 2 d)) h) l)

rewrite144.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 105

Calls

4 calls:

Slowest

54.0ms	(* (/ (* M D) (* 2 d)) h)
48.0ms	(/ (* (/ (* M D) (* 2 d)) h) l)
22.0ms	(/ (* M D) (* 2 d))
17.0ms	(/ (* M D) (* 2 d))

series244.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

94.0ms	(/ (* (/ (* M D) (* 2 d)) h) l)
66.0ms	(* (/ (* M D) (* 2 d)) h)
43.0ms	(/ (* M D) (* 2 d))
40.0ms	(/ (* M D) (* 2 d))

simplify572.0ms

Counts: 117 → 117

prune2.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 8.2b

localize52.0ms

Local error

Found 4 expressions with local error:

6.4b	(/ (* M D) (* 2 d))
6.4b	(/ (* M D) (* 2 d))
6.2b	(* (/ (* M D) (* 2 d)) h)
6.0b	(* (* (/ (* M D) (* 2 d)) h) (/ 1 l))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

152×	`add-exp-log`
102×	`add-cbrt-cube`
77×	`prod-exp`
47×	`cbrt-unprod`
40×	`div-exp`
26×	`cbrt-undiv`
16×	`associate-r`
15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
11×	`pow1`
6×	`rec-exp` `1-exp` `associate-l`
4×	`pow-prod-down` `associate-*l/` `insert-posit16` `div-inv` `add-log-exp`
2×	`clear-num` `associate-/r` `frac-2neg` `-commutative` `associate-/l*`
1×	`frac-times` `associate-*r/` `un-div-inv` `unswap-sqr`

Counts

4 → 139

Calls

4 calls:

Slowest

133.0ms	(* (* (/ (* M D) (* 2 d)) h) (/ 1 l))
30.0ms	(* (/ (* M D) (* 2 d)) h)
18.0ms	(/ (* M D) (* 2 d))
13.0ms	(/ (* M D) (* 2 d))

series264.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

100.0ms	(* (* (/ (* M D) (* 2 d)) h) (/ 1 l))
76.0ms	(* (/ (* M D) (* 2 d)) h)
52.0ms	(/ (* M D) (* 2 d))
35.0ms	(/ (* M D) (* 2 d))

simplify809.0ms

Counts: 151 → 151

prune2.7s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.2b

regimes1.2s

Accuracy

0% (0.9b remaining)

Error of 8.3b against oracle of 7.4b and baseline of 8.3b

bsearch8.0ms

end0.0ms

sample3.4s

Algorithm

intervals

Results

1.8s	9346×	body	80	valid
620.0ms	3061×	body	80	nan