Details

sample62.0ms

Algorithm

intervals

Results

29.0ms	256×	body	80	valid
14.0ms	272×	body	80	nan

simplify3.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	1510
11	1510
10	1509
9	1481
8	1145
7	954
6	803
5	646
4	396
3	189
2	70
1	27
0	14

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize43.0ms

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))

rewrite150.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`*-un-lft-identity` `add-cube-cbrt`
23×	`add-cbrt-cube` `add-exp-log`
22×	`times-frac`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
11×	`associate-r`
10×	`prod-exp` `associate-*r/` `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:

6.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
80.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
34.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
25.0ms	(* 3.0 (* v v))

series892.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
448.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
285.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
49.0ms	(* 3.0 (* v v))

simplify3.1s

Counts

154 → 154

Iterations

Iter	Nodes
done	5022
2	3593
1	916
0	301

prune872.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

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

rewrite264.0ms

Algorithm

rewrite-expression-head

Rules

76×	`sqrt-prod`
72×	`sqrt-div`
68×	`add-sqr-sqrt`
42×	`pow1`
37×	`associate-l`
32×	`sqrt-pow1`
31×	`*-un-lft-identity` `add-cube-cbrt`
28×	`add-cbrt-cube` `add-exp-log`
20×	`frac-times` `times-frac`
18×	`flip3--` `flip--`
16×	`pow1/2`
15×	`swap-sqr`
14×	`pow-prod-down` `associate-*r/` `unswap-sqr`
13×	`prod-exp` `cbrt-unprod`
12×	`associate-r`
9×	`pow-prod-up`
7×	`associate-*l/`
5×	`pow-sqr`
4×	`expm1-log1p-u` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `div-inv`

Counts

4 → 190

Calls

4 calls:

66.0ms	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
139.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))
26.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))

series450.0ms

Counts

4 → 12

Calls

4 calls:

121.0ms	(* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))))
250.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (sqrt (- 1.0 (* 3.0 (* v v)))))))
47.0ms	(* 3.0 (* v v))
31.0ms	(* 3.0 (* v v))

simplify1.8s

Counts

202 → 202

Iterations

Iter	Nodes
done	5001
2	2165
1	729
0	283

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize70.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm

rewrite-expression-head

Rules

133×	`pow1`
75×	`pow-prod-down`
55×	`add-cbrt-cube` `add-exp-log`
36×	`prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `associate-l`
9×	`pow-sqr` `pow-prod-up`
7×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 125

Calls

4 calls:

106.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
19.0ms	(* 3.0 (* v v))
16.0ms	(* 3.0 (* v v))
27.0ms	(* 3.0 (* v v))

series185.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
55.0ms	(* 3.0 (* v v))
30.0ms	(* 3.0 (* v v))
34.0ms	(* 3.0 (* v v))

simplify4.0s

Counts

137 → 137

Iterations

Iter	Nodes
done	5002
3	4207
2	799
1	209
0	72

prune562.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	19
1	19
0	16

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.2s	8000×	body	80	valid
626.0ms	8173×	body	80	nan