Details

sample107.0ms

Algorithm

intervals

Results

55.0ms	298×	body	80	valid
22.0ms	113×	body	80	nan

simplify1.8s

Counts: 1 → 1

prune27.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize30.0ms

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))))

rewrite251.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 206

Calls

4 calls:

Slowest

215.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
13.0ms	(/ (* M D) (* 2 d))
11.0ms	(/ (* M D) (* 2 d))
6.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

series401.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

195.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
121.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
45.0ms	(/ (* M D) (* 2 d))
39.0ms	(/ (* M D) (* 2 d))

simplify2.2s

Counts: 218 → 218

prune3.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.4b

localize47.0ms

Local error

Found 4 expressions with local error:

6.3b	(* (/ M d) D)
6.3b	(* (/ M d) D)
4.3b	(sqrt (- 1 (* (* (* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l))) (* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
2.9b	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

73×	`add-sqr-sqrt`
63×	`times-frac`
48×	`*-un-lft-identity` `add-cube-cbrt`
46×	`associate-r` `add-exp-log`
40×	`cbrt-prod`
38×	`add-cbrt-cube`
33×	`associate-l`
16×	`prod-exp` `cbrt-unprod`
14×	`cbrt-undiv` `div-exp`
11×	`pow1`
9×	`unswap-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`pow-prod-down` `associate-l/` `-commutative` `sqrt-prod`
2×	`sqrt-div`
1×	`frac-times` `rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `associate-*r/` `flip--`

Counts

4 → 171

Calls

4 calls:

Slowest

37.0ms	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
10.0ms	(* (/ M d) D)
10.0ms	(* (/ M d) D)
7.0ms	(sqrt (- 1 (* (* (* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l))) (* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))

series483.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

245.0ms	(sqrt (- 1 (* (* (* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l))) (* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))) (/ (cbrt h) (cbrt l)))))
168.0ms	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
35.0ms	(* (/ M d) D)
35.0ms	(* (/ M d) D)

simplify1.6s

Counts: 183 → 183

prune3.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 7.1b

localize64.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (* (/ M d) D))
19.0b	(cbrt (* (/ M d) D))
19.0b	(cbrt (* (/ M d) D))
6.3b	(* (/ M d) D)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 74

Calls

4 calls:

Slowest

14.0ms	(* (/ M d) D)
5.0ms	(cbrt (* (/ M d) D))
4.0ms	(cbrt (* (/ M d) D))
4.0ms	(cbrt (* (/ M d) D))

series401.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

137.0ms	(cbrt (* (/ M d) D))
119.0ms	(cbrt (* (/ M d) D))
113.0ms	(cbrt (* (/ M d) D))
31.0ms	(* (/ M d) D)

simplify3.0s

Counts: 86 → 86

prune2.1s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 7.1b

localize164.0ms

Local error

Found 4 expressions with local error:

19.0b	(cbrt (* (/ M d) D))
19.0b	(cbrt (* (/ M d) D))
19.0b	(cbrt (* (/ M d) D))
6.3b	(* (/ M d) D)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`associate-l`
12×	`*-un-lft-identity` `add-cube-cbrt`
10×	`times-frac`
9×	`add-cbrt-cube` `add-exp-log`
6×	`pow1`
4×	`expm1-log1p-u` `associate-*l/` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-prod` `cbrt-div` `pow1/3` `associate-r`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `div-exp` `pow-prod-down` `*-commutative` `div-inv`

Counts

4 → 74

Calls

4 calls:

Slowest

16.0ms	(* (/ M d) D)
5.0ms	(cbrt (* (/ M d) D))
4.0ms	(cbrt (* (/ M d) D))
4.0ms	(cbrt (* (/ M d) D))

series362.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

126.0ms	(cbrt (* (/ M d) D))
111.0ms	(cbrt (* (/ M d) D))
101.0ms	(cbrt (* (/ M d) D))
23.0ms	(* (/ M d) D)

simplify2.8s

Counts: 86 → 86

prune2.4s

Pruning

13 alts after pruning (10 fresh and 3 done)

Merged error: 7.1b

regimes2.1s

Accuracy

0% (1.3b remaining)

Error of 7.9b against oracle of 6.7b and baseline of 7.9b

bsearch12.0ms

end0.0ms

sample3.7s

Algorithm

intervals

Results

2.4s	9346×	body	80	valid
578.0ms	3061×	body	80	nan