Details

sample64.0ms

Algorithm

intervals

Results

23.0ms	256×	body	80	valid
18.0ms	250×	body	80	nan

simplify3.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	193	19
4	431	19
5	850	19
6	1262	19
7	1608	19
8	1811	19
9	1817	19
done	1817	19

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 142

Calls

4 calls:

15.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
102.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
46.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
22.0ms	(* 3.0 (* v v))

series930.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
470.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
323.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
38.0ms	(* 3.0 (* v v))

simplify1.1s

Counts

154 → 154

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	301	3466
1	917	3190
done	5000	2976

prune723.0ms

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	(pow (- 1.0 (* v v)) 3)
0.2b	(* 3.0 (* v v))
1.0b	(/ (pow 4.0 3) (sqrt 2.0))
1.0b	(/ 2.0 (/ (pow 4.0 3) (sqrt 2.0)))

rewrite202.0ms

Algorithm

rewrite-expression-head

Rules

588×	`times-frac`
307×	`add-sqr-sqrt`
304×	`add-cube-cbrt` `*-un-lft-identity`
183×	`sqrt-prod`
97×	`unpow-prod-down` `cube-prod`
82×	`associate-/r*`
32×	`cube-mult` `unpow3` `sqr-pow`
25×	`add-exp-log`
17×	`add-cbrt-cube`
15×	`associate-/l*`
10×	`pow1` `div-exp`
6×	`div-inv`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-unpow` `associate-l` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod`
2×	`cube-div` `frac-2neg` `clear-num` `difference-of-squares`
1×	`flip3--` `pow-pow` `associate-r` `associate-/r/` `*-commutative` `flip--` `rem-cube-cbrt` `unswap-sqr`

Counts

4 → 482

Calls

4 calls:

15.0ms	(pow (- 1.0 (* v v)) 3)
37.0ms	(* 3.0 (* v v))
26.0ms	(/ (pow 4.0 3) (sqrt 2.0))
54.0ms	(/ 2.0 (/ (pow 4.0 3) (sqrt 2.0)))

series145.0ms

Counts

4 → 8

Calls

4 calls:

97.0ms	(pow (- 1.0 (* v v)) 3)
47.0ms	(* 3.0 (* v v))
0.0ms	(/ (pow 4.0 3) (sqrt 2.0))
0.0ms	(/ 2.0 (/ (pow 4.0 3) (sqrt 2.0)))

simplify1.2s

Counts

490 → 490

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	542	8200
1	1575	6647
done	5000	6464

prune1.6s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b	(log1p (sqrt (- 1.0 (* 3.0 (* v v)))))
0.0b	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.0b	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
0.2b	(* 3.0 (* v v))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
25×	`associate-l`
20×	`times-frac`
19×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log` `add-cbrt-cube`
11×	`pow1`
10×	`sqrt-prod`
5×	`expm1-log1p-u` `prod-exp` `cbrt-unprod`
4×	`associate-r` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`*-commutative`
1×	`cbrt-undiv` `log1p-udef` `expm1-log1p` `log1p-expm1` `div-exp` `associate-*l/` `div-inv` `expm1-udef`

Counts

4 → 87

Calls

4 calls:

1.0ms	(log1p (sqrt (- 1.0 (* 3.0 (* v v)))))
31.0ms	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.0ms	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
19.0ms	(* 3.0 (* v v))

series1.3s

Counts

4 → 12

Calls

4 calls:

362.0ms	(log1p (sqrt (- 1.0 (* 3.0 (* v v)))))
537.0ms	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
412.0ms	(expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))
36.0ms	(* 3.0 (* v v))

simplify2.2s

Counts

99 → 99

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	232	1716
1	622	1541
2	3249	1365
done	5000	1343

prune543.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes62.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	28
1	23	28
done	23	28

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
803.0ms	7931×	body	80	nan