Details

sample76.0ms

Algorithm

intervals

Results

24.0ms	283×	body	80	nan
22.0ms	256×	body	80	valid

simplify5.7s

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

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

rewrite242.0ms

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:

61.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
130.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
12.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
30.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
516.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
141.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
48.0ms	(* 3.0 (* v v))

simplify741.0ms

Counts

154 → 154

Iterations

Useful iterations: done (732.0ms)

Iter	Nodes	Cost
0	301	3466
1	918	3190
done	5001	2976

prune1.1s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize46.0ms

Local error

Found 4 expressions with local error:

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

rewrite102.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`pow1`
11×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`associate-l`
6×	`prod-diff` `log-pow` `add-log-exp`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-r`
4×	`expm1-log1p-u` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u`
3×	`log-prod` `sqrt-prod`
2×	`sub-neg` `exp-prod` `flip3--` `exp-to-pow` `sqrt-div` `associate-r/` `-commutative` `flip--` `unswap-sqr`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `rem-log-exp` `difference-of-squares`

Counts

4 → 90

Calls

4 calls:

13.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
48.0ms	(* (log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
7.0ms	(log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
30.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

135.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
541.0ms	(* (log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
345.0ms	(log (exp (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))))
54.0ms	(* 3.0 (* v v))

simplify2.6s

Counts

102 → 102

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	219	2181
1	552	1972
2	2974	1806
done	5001	1798

prune750.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize86.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))
0.0b	(/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* 4.0 (sqrt (fma (* v v) 3.0 1.0))))
0.0b	(* (/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* 4.0 (sqrt (fma (* v v) 3.0 1.0)))) (- 1.0 (* v v)))
0.1b	(* (* 3.0 3.0) (pow v 4))

rewrite328.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-exp-log`
41×	`add-cbrt-cube`
27×	`add-sqr-sqrt`
23×	`prod-exp`
17×	`associate-r` `cbrt-unprod`
14×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l`
10×	`pow1` `sqrt-prod`
8×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`associate-*r/` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `unpow-prod-down` `flip3--` `sqrt-div` `pow-prod-down` `flip--` `log1p-expm1-u` `add-log-exp`
3×	`*-commutative`
2×	`frac-times` `pow-to-exp` `sub-neg` `sqrt-pow1` `times-frac` `pow1/2` `pow-exp` `div-inv` `associate-/l/` `sqr-pow`
1×	`frac-2neg` `sqrt-unprod` `associate-l/` `clear-num` `associate-/r` `associate-/l*` `difference-of-squares`

Counts

4 → 134

Calls

4 calls:

61.0ms	(* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))
58.0ms	(/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* 4.0 (sqrt (fma (* v v) 3.0 1.0))))
152.0ms	(* (/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* 4.0 (sqrt (fma (* v v) 3.0 1.0)))) (- 1.0 (* v v)))
49.0ms	(* (* 3.0 3.0) (pow v 4))

series1.7s

Counts

4 → 12

Calls

4 calls:

493.0ms	(* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4)))))
484.0ms	(/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* 4.0 (sqrt (fma (* v v) 3.0 1.0))))
673.0ms	(* (/ (* (sqrt 2.0) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* 4.0 (sqrt (fma (* v v) 3.0 1.0)))) (- 1.0 (* v v)))
80.0ms	(* (* 3.0 3.0) (pow v 4))

simplify807.0ms

Counts

146 → 146

Iterations

Useful iterations: done (796.0ms)

Iter	Nodes	Cost
0	316	4518
1	939	4151
done	5000	3686

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes108.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	21
1	19	21
done	19	21

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	8000×	body	80	valid
956.0ms	8122×	body	80	nan