Details

sample78.0ms

Algorithm

intervals

Results

33.0ms	208×	body	80	nan
24.0ms	256×	body	80	valid

simplify2.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
6	3640
5	1649
4	728
3	223
2	73
1	29
0	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.0b	(sqrt (- 1 (* 3 (* v v))))
0.2b	(* 3 (* v v))

rewrite206.0ms

Algorithm

rewrite-expression-head

Rules

41×	`add-sqr-sqrt`
26×	`associate-l`
23×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
22×	`times-frac` `add-cube-cbrt`
20×	`sqrt-prod`
18×	`frac-times` `sqrt-div`
17×	`pow1`
15×	`flip3--` `flip--`
12×	`associate-r`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`insert-posit16` `add-log-exp`
3×	`*-commutative`
2×	`distribute-rgt-in` `cbrt-undiv` `sub-neg` `distribute-lft-in` `div-exp` `difference-of-squares`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv`

Counts

4 → 133

Calls

4 calls:

96.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
59.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
10.0ms	(sqrt (- 1 (* 3 (* v v))))
37.0ms	(* 3 (* v v))

series717.0ms

Counts

4 → 12

Calls

4 calls:

333.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
246.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
103.0ms	(sqrt (- 1 (* 3 (* v v))))
35.0ms	(* 3 (* v v))

simplify2.1s

Counts

145 → 145

Iterations

Iter	Nodes
done	5002
2	3052
1	803
0	271

prune793.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (- 1 (* 3 (* v v))))
0.0b	(* (/ (sqrt 2) 4) (log (exp (sqrt (- 1 (* 3 (* v v)))))))
0.0b	(log (exp (sqrt (- 1 (* 3 (* v v))))))
0.2b	(* 3 (* v v))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
27×	`*-un-lft-identity` `add-cube-cbrt`
25×	`associate-l`
20×	`times-frac`
19×	`sqrt-prod`
14×	`pow1` `add-cbrt-cube` `add-exp-log` `log-pow`
12×	`exp-prod`
11×	`associate-r`
9×	`log-prod`
5×	`prod-exp` `cbrt-unprod`
4×	`pow-prod-down` `insert-posit16` `add-log-exp` `unswap-sqr`
3×	`distribute-rgt-in` `distribute-lft-in`
2×	`sqrt-div` `*-commutative`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `flip3--` `pow1/2` `div-exp` `rem-log-exp` `associate-*l/` `div-inv` `flip--`

Counts

4 → 111

Calls

4 calls:

5.0ms	(sqrt (- 1 (* 3 (* v v))))
68.0ms	(* (/ (sqrt 2) 4) (log (exp (sqrt (- 1 (* 3 (* v v)))))))
15.0ms	(log (exp (sqrt (- 1 (* 3 (* v v))))))
32.0ms	(* 3 (* v v))

series462.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(sqrt (- 1 (* 3 (* v v))))
244.0ms	(* (/ (sqrt 2) 4) (log (exp (sqrt (- 1 (* 3 (* v v)))))))
71.0ms	(log (exp (sqrt (- 1 (* 3 (* v v))))))
38.0ms	(* 3 (* v v))

simplify1.5s

Counts

123 → 123

Iterations

Iter	Nodes
done	5001
2	1471
1	524
0	215

prune686.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))))))
0.2b	(* 3 (* v v))
0.2b	(* 3 (* v v))
1.0b	(* (/ (sqrt 2) 4) (/ (sqrt 2) 4))

rewrite2.4s

Algorithm

rewrite-expression-head

Rules

7454×	`frac-times`
3240×	`flip3--` `flip--`
2604×	`associate-*r/`
2430×	`associate-*l/`
1943×	`cbrt-div`
1296×	`sqrt-div`
106×	`add-sqr-sqrt`
96×	`times-frac`
62×	`*-un-lft-identity` `add-cube-cbrt`
48×	`sqrt-prod`
28×	`swap-sqr` `associate-l`
26×	`add-cbrt-cube` `add-exp-log`
24×	`associate-r`
21×	`pow1`
11×	`unswap-sqr`
10×	`prod-exp` `cbrt-unprod`
7×	`pow-prod-down`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `div-inv` `add-log-exp`
3×	`*-commutative`
1×	`cbrt-prod` `pow2` `pow-plus` `pow1/3` `pow-sqr` `pow-prod-up`

Counts

4 → 2099

Calls

4 calls:

1.9s	(cbrt (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))))))
17.0ms	(* 3 (* v v))
31.0ms	(* 3 (* v v))
36.0ms	(* (/ (sqrt 2) 4) (/ (sqrt 2) 4))

series507.0ms

Counts

4 → 10

Calls

4 calls:

422.0ms	(cbrt (* (* (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)) (- 1 (* 3 (* v v)))) (* (sqrt (- 1 (* 3 (* v v)))) (* (- 1 (* v v)) (* (- 1 (* v v)) (- 1 (* v v)))))))
50.0ms	(* 3 (* v v))
35.0ms	(* 3 (* v v))
0.0ms	(* (/ (sqrt 2) 4) (/ (sqrt 2) 4))

simplify7.6s

Counts

2109 → 2109

Iterations

Iter	Nodes
done	5344
0	5344

prune26.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes83.0ms

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	21
1	21
0	16

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.3s	8000×	body	80	valid
803.0ms	8095×	body	80	nan