Details

sample89.0ms

Algorithm

intervals

Results

37.0ms	231×	body	80	nan
31.0ms	256×	body	80	valid

simplify4.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
6	4562
5	1910
4	775
3	235
2	73
1	29
0	14

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

319×	`add-sqr-sqrt`
178×	`*-un-lft-identity`
172×	`frac-times`
139×	`add-cube-cbrt`
125×	`associate-l`
120×	`sqrt-prod`
106×	`sqrt-div`
92×	`flip3--` `flip--`
91×	`associate-r`
90×	`prod-diff`
86×	`associate-*l/`
76×	`unswap-sqr`
72×	`associate-/l*`
48×	`times-frac`
47×	`distribute-rgt-in` `distribute-lft-in`
46×	`difference-of-squares`
36×	`associate-/r*`
30×	`swap-sqr`
23×	`add-cbrt-cube` `add-exp-log`
20×	`*-commutative`
17×	`pow1`
12×	`clear-num` `frac-2neg`
10×	`prod-exp` `associate-*r/` `cbrt-unprod`
8×	`distribute-lft-out--`
7×	`pow-prod-down`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `sub-neg` `div-exp` `div-inv`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`

Counts

4 → 478

Calls

4 calls:

1.7s	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
198.0ms	(sqrt (- 1 (* 3 (* v v))))
327.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
38.0ms	(* 3 (* v v))

series672.0ms

Counts

4 → 12

Calls

4 calls:

337.0ms	(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
78.0ms	(sqrt (- 1 (* 3 (* v v))))
217.0ms	(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
40.0ms	(* 3 (* v v))

simplify2.3s

Counts

490 → 490

Iterations

Iter	Nodes
done	5001
1	2530
0	737

prune1.8s

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

rewrite3.4s

Algorithm

rewrite-expression-head

Rules

685×	`add-sqr-sqrt`
633×	`sqrt-prod`
336×	`sqrt-div`
258×	`unswap-sqr`
217×	`*-un-lft-identity`
185×	`associate-r`
152×	`frac-times`
145×	`swap-sqr`
128×	`difference-of-squares`
96×	`associate-l`
84×	`flip3--` `flip--`
81×	`add-cube-cbrt`
60×	`times-frac`
54×	`associate-/l*`
42×	`pow1`
40×	`associate-*l/`
36×	`associate-r/` `-commutative`
32×	`sqrt-pow1` `distribute-lft-out--`
28×	`add-cbrt-cube` `add-exp-log`
27×	`associate-/r*`
16×	`pow1/2`
14×	`pow-prod-down`
13×	`prod-exp` `cbrt-unprod`
9×	`clear-num` `frac-2neg` `pow-prod-up`
5×	`pow-sqr`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `div-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `div-inv`

Counts

4 → 547

Calls

4 calls:

2.5s	(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
722.0ms	(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
51.0ms	(* 3 (* v v))
57.0ms	(* 3 (* v v))

series409.0ms

Counts

4 → 12

Calls

4 calls:

235.0ms	(* (/ (sqrt 2) 4) (* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v)))))))
84.0ms	(* (sqrt (sqrt (- 1 (* 3 (* v v))))) (sqrt (sqrt (- 1 (* 3 (* v v))))))
33.0ms	(* 3 (* v v))
56.0ms	(* 3 (* v v))

simplify3.3s

Counts

559 → 559

Iterations

Iter	Nodes
done	5000
2	4965
1	1721
0	564

prune2.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite2.3s

Algorithm

rewrite-expression-head

Rules

221×	`add-sqr-sqrt`
176×	`frac-times`
122×	`log-div` `*-un-lft-identity` `exp-diff`
96×	`sqrt-prod`
94×	`flip3--` `flip--`
85×	`associate-l`
84×	`sqrt-div`
82×	`associate-r`
80×	`add-cube-cbrt`
78×	`log-prod` `exp-sum`
76×	`associate-/l*`
55×	`unswap-sqr`
50×	`associate-*r/`
48×	`associate-*l/`
44×	`times-frac` `difference-of-squares`
36×	`associate-/r*`
18×	`pow1`
16×	`clear-num`
14×	`add-cbrt-cube` `add-exp-log` `*-commutative`
12×	`frac-2neg` `swap-sqr`
8×	`un-div-inv` `distribute-lft-out--`
7×	`pow-prod-down`
6×	`exp-prod`
5×	`prod-exp` `cbrt-unprod` `add-log-exp`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`log-pow`
2×	`div-inv` `rem-exp-log`
1×	`cbrt-undiv` `rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-exp`

Counts

4 → 386

Calls

4 calls:

1.8s	(exp (log (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))
218.0ms	(sqrt (- 1 (* 3 (* v v))))
167.0ms	(* (- 1 (* v v)) (/ (sqrt 2) 4))
43.0ms	(* 3 (* v v))

series639.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(exp (log (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (- 1 (* 3 (* v v)))))))
87.0ms	(sqrt (- 1 (* 3 (* v v))))
221.0ms	(* (- 1 (* v v)) (/ (sqrt 2) 4))
46.0ms	(* 3 (* v v))

simplify2.2s

Counts

398 → 398

Iterations

Iter	Nodes
done	5002
1	2494
0	1117

prune1.8s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes68.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.2s	7626×	body	80	nan
1.2s	8000×	body	80	valid