Details

sample50.0ms

Algorithm

intervals

Results

19.0ms	256×	body	80	valid
12.0ms	230×	body	80	nan

simplify4.1s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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))

rewrite215.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `times-frac` `add-cbrt-cube`
18×	`frac-times`
17×	`sqrt-prod`
16×	`sqrt-div`
15×	`pow1`
14×	`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`
3×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 125

Calls

3 calls:

113.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
76.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
20.0ms	(* 3.0 (* v v))

series805.0ms

Counts

3 → 9

Calls

3 calls:

465.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
311.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms	(* 3.0 (* v v))

simplify629.0ms

Counts

134 → 134

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	280	3160
1	862	2920
done	5000	2718

prune562.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* v v) 3)
0.1b	(pow (* 3.0 (* v v)) 3)
0.2b	(* 3.0 (* v v))
0.2b	(* 3.0 (* v v))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

28×	`pow1`
23×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
9×	`pow-pow`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow-unpow` `associate-l`
5×	`pow-exp` `rem-cube-cbrt`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `pow-to-exp` `unpow-prod-down` `unpow3` `cube-prod` `associate-r` `*-commutative` `unswap-sqr` `sqr-pow`
1×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`

Counts

4 → 97

Calls

4 calls:

9.0ms	(pow (* v v) 3)
16.0ms	(pow (* 3.0 (* v v)) 3)
31.0ms	(* 3.0 (* v v))
18.0ms	(* 3.0 (* v v))

series245.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(pow (* v v) 3)
64.0ms	(pow (* 3.0 (* v v)) 3)
49.0ms	(* 3.0 (* v v))
47.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

109 → 109

Iterations

Useful iterations: 2 (277.0ms)

Iter	Nodes	Cost
0	87	769
1	241	631
2	1610	573
done	5000	573

prune787.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite268.0ms

Algorithm

rewrite-expression-head

Rules

112×	`sqrt-div`
65×	`pow1`
51×	`frac-times`
45×	`add-sqr-sqrt`
32×	`associate-l`
31×	`associate-*r/`
28×	`sqrt-pow1`
27×	`pow-prod-down`
26×	`flip3--` `flip--`
25×	`add-cube-cbrt` `*-un-lft-identity`
22×	`times-frac`
21×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
18×	`associate-*l/`
12×	`associate-r`
10×	`pow1/2` `pow-prod-up`
9×	`prod-exp` `cbrt-unprod` `unswap-sqr`
6×	`pow-sqr`
4×	`expm1-log1p-u` `swap-sqr` `*-commutative` `log1p-expm1-u` `add-log-exp`
1×	`cbrt-undiv` `pow2` `pow-plus` `sqrt-unprod` `div-exp` `rem-square-sqrt` `div-inv`

Counts

4 → 182

Calls

4 calls:

45.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
19.0ms	(* 3.0 (* v v))
35.0ms	(* 3.0 (* v v))
152.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

series736.0ms

Counts

4 → 12

Calls

4 calls:

270.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
35.0ms	(* 3.0 (* v v))
40.0ms	(* 3.0 (* v v))
391.0ms	(* (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))

simplify2.2s

Counts

194 → 194

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	312	4852
1	738	3919
2	3783	3584
done	5000	3518

prune857.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes69.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	56
1	37	56
done	37	56

end0.0ms

sample2.0s

Algorithm

intervals

Results

884.0ms	8000×	body	80	valid
730.0ms	8054×	body	80	nan