Details

sample98.0ms

Algorithm

intervals

Results

57.0ms	294×	body	80	valid
17.0ms	113×	body	80	nan

simplify1.6s

Counts: 1 → 1

prune26.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.3b

localize53.0ms

Local error

Found 4 expressions with local error:

11.1b	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
5.7b	(/ (* M D) (* 2 d))
5.7b	(/ (* M D) (* 2 d))
3.0b	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

rewrite206.0ms

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

168.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
14.0ms	(/ (* M D) (* 2 d))
11.0ms	(/ (* M D) (* 2 d))
7.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))

series367.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

176.0ms	(sqrt (- 1 (* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))))
130.0ms	(* (* (/ (* M D) (* 2 d)) (/ (* M D) (* 2 d))) (/ h l))
31.0ms	(/ (* M D) (* 2 d))
30.0ms	(/ (* M D) (* 2 d))

simplify2.1s

Counts: 218 → 218

prune3.5s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.1b

localize60.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
4.1b	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
4.0b	(* (/ M d) D)
4.0b	(* (/ M d) D)

rewrite103.0ms

Algorithm

rewrite-expression-head

Rules

112×	`add-sqr-sqrt`
106×	`times-frac`
86×	`associate-r`
80×	`cbrt-prod`
78×	`add-exp-log`
74×	`*-un-lft-identity` `add-cube-cbrt`
62×	`add-cbrt-cube`
40×	`associate-l`
28×	`prod-exp` `cbrt-unprod`
26×	`cbrt-undiv` `div-exp`
14×	`unswap-sqr`
12×	`pow1`
6×	`div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`frac-times` `associate-*r/`

Counts

4 → 236

Calls

4 calls:

Slowest

39.0ms	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
30.0ms	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
17.0ms	(* (/ M d) D)
10.0ms	(* (/ M d) D)

series393.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

177.0ms	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
153.0ms	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
37.0ms	(* (/ M d) D)
25.0ms	(* (/ M d) D)

simplify1.4s

Counts: 248 → 248

prune5.1s

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 5.1b

localize90.0ms

Local error

Found 4 expressions with local error:

4.1b	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
4.0b	(* (/ M d) D)
4.0b	(* (/ M d) D)
3.8b	(* (/ (* (/ M d) D) 2) (cbrt h))

rewrite145.0ms

Algorithm

rewrite-expression-head

Rules

79×	`add-sqr-sqrt`
66×	`times-frac`
60×	`add-exp-log`
52×	`associate-r`
51×	`*-un-lft-identity` `add-cube-cbrt`
48×	`add-cbrt-cube`
44×	`cbrt-prod`
40×	`associate-l`
22×	`prod-exp` `cbrt-unprod`
18×	`cbrt-undiv` `div-exp`
12×	`pow1`
11×	`unswap-sqr`
5×	`div-inv`
4×	`expm1-log1p-u` `pow-prod-down` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`frac-times` `associate-*r/`

Counts

4 → 189

Calls

4 calls:

Slowest

51.0ms	(* (/ (* (/ M d) D) 2) (cbrt h))
50.0ms	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
19.0ms	(* (/ M d) D)
19.0ms	(* (/ M d) D)

series449.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

198.0ms	(* (/ (* (/ M d) D) 2) (cbrt h))
175.0ms	(* (/ (* (/ M d) D) 2) (/ (cbrt h) (cbrt l)))
39.0ms	(* (/ M d) D)
37.0ms	(* (/ M d) D)

simplify1.5s

Counts: 201 → 201

prune4.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 5.1b

localize114.0ms

Local error

Found 4 expressions with local error:

19.9b	(cbrt (/ (* (/ M d) D) 2))
19.9b	(cbrt (/ (* (/ M d) D) 2))
19.9b	(cbrt (/ (* (/ M d) D) 2))
4.0b	(* (/ M d) D)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 92

Calls

4 calls:

Slowest

9.0ms	(* (/ M d) D)
9.0ms	(cbrt (/ (* (/ M d) D) 2))
4.0ms	(cbrt (/ (* (/ M d) D) 2))
4.0ms	(cbrt (/ (* (/ M d) D) 2))

series458.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(cbrt (/ (* (/ M d) D) 2))
150.0ms	(cbrt (/ (* (/ M d) D) 2))
122.0ms	(cbrt (/ (* (/ M d) D) 2))
35.0ms	(* (/ M d) D)

simplify851.0ms

Counts: 104 → 104

prune2.5s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 5.1b

regimes1.9s

Accuracy

0% (1.3b remaining)

Error of 8.0b against oracle of 6.7b and baseline of 8.0b

bsearch10.0ms

end0.0ms

sample3.5s

Algorithm

intervals

Results

2.2s	9252×	body	80	valid
635.0ms	3042×	body	80	nan