Details

sample61.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
18.0ms	226×	body	80	nan

simplify4.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	1906
10	1906
9	1870
8	1842
7	1645
6	1282
5	856
4	432
3	193
2	70
1	27
0	14

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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))

rewrite139.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
26×	`associate-l`
22×	`*-un-lft-identity` `times-frac` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
18×	`frac-times`
17×	`sqrt-prod`
16×	`sqrt-div`
15×	`pow1`
14×	`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`
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:

85.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
30.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
13.0ms	(* 3.0 (* v v))

series748.0ms

Counts

3 → 9

Calls

3 calls:

440.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
279.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
28.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	4929
1	863
0	280

prune859.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma 1.0 1.0 (* v (* v (fma v v 1.0)))) (* (sqrt (fma (* v 3.0) v 1.0)) 4.0))
0.0b	(* v (fma v v 1.0))
0.0b	(/ (* (* (- (pow 1.0 3) (pow v 6)) (sqrt 2.0)) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* (fma 1.0 1.0 (* v (* v (fma v v 1.0)))) (* (sqrt (fma (* v 3.0) v 1.0)) 4.0)))
0.1b	(* (* 3.0 3.0) (pow v 4))

rewrite230.0ms

Algorithm

rewrite-expression-head

Rules

60×	`add-exp-log`
52×	`add-cbrt-cube`
31×	`prod-exp`
25×	`cbrt-unprod`
13×	`add-sqr-sqrt`
11×	`pow1` `associate-r`
9×	`cbrt-undiv` `*-un-lft-identity` `div-exp` `add-cube-cbrt`
8×	`associate-*l/` `associate-/l/`
7×	`associate-l`
6×	`flip3--` `sqrt-div` `flip--`
4×	`expm1-log1p-u` `frac-times` `unpow-prod-down` `pow-prod-down` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`*-commutative`
2×	`pow-to-exp` `pow-exp` `associate-*r/` `fma-udef` `sqr-pow`
1×	`distribute-rgt-in` `clear-num` `associate-/r` `frac-2neg` `distribute-lft-in` `times-frac` `div-inv` `associate-/l`

Counts

4 → 112

Calls

4 calls:

33.0ms	(* (fma 1.0 1.0 (* v (* v (fma v v 1.0)))) (* (sqrt (fma (* v 3.0) v 1.0)) 4.0))
11.0ms	(* v (fma v v 1.0))
159.0ms	(/ (* (* (- (pow 1.0 3) (pow v 6)) (sqrt 2.0)) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* (fma 1.0 1.0 (* v (* v (fma v v 1.0)))) (* (sqrt (fma (* v 3.0) v 1.0)) 4.0)))
19.0ms	(* (* 3.0 3.0) (pow v 4))

series1.2s

Counts

4 → 12

Calls

4 calls:

353.0ms	(* (fma 1.0 1.0 (* v (* v (fma v v 1.0)))) (* (sqrt (fma (* v 3.0) v 1.0)) 4.0))
108.0ms	(* v (fma v v 1.0))
674.0ms	(/ (* (* (- (pow 1.0 3) (pow v 6)) (sqrt 2.0)) (sqrt (- (* 1.0 1.0) (* (* 3.0 3.0) (pow v 4))))) (* (fma 1.0 1.0 (* v (* v (fma v v 1.0)))) (* (sqrt (fma (* v 3.0) v 1.0)) 4.0)))
76.0ms	(* (* 3.0 3.0) (pow v 4))

simplify562.0ms

Counts

124 → 124

Iterations

Iter	Nodes
done	5001
1	954
0	313

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 3 expressions with local error:

0.0b

(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))

0.2b

(* 3.0 (* v v))

1.0b

(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

rewrite454.0ms

Algorithm

rewrite-expression-head

Rules

80×	`sqrt-div`
58×	`frac-times`
38×	`associate-*r/`
31×	`sqrt-prod`
29×	`associate-l`
28×	`flip3--` `flip--`
25×	`pow1`
23×	`add-sqr-sqrt` `associate-*l/`
22×	`add-cbrt-cube` `add-exp-log`
21×	`*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
16×	`pow-prod-down`
12×	`prod-exp` `cbrt-unprod`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
3×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `*-commutative` `log1p-expm1-u` `add-log-exp`
2×	`sub-neg` `sqrt-unprod`
1×	`div-inv` `difference-of-squares` `unswap-sqr`

Counts

3 → 146

Calls

3 calls:

290.0ms

(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))

26.0ms

(* 3.0 (* v v))

127.0ms

(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

series921.0ms

Counts

3 → 9

Calls

3 calls:

600.0ms

(* (* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v)))

27.0ms

(* 3.0 (* v v))

294.0ms

(* (sqrt (/ (sqrt 2.0) 4.0)) (* (sqrt (/ (sqrt 2.0) 4.0)) (sqrt (- 1.0 (* 3.0 (* v v))))))

simplify696.0ms

Counts

155 → 155

Iterations

Iter	Nodes
done	5001
1	1059
0	329

prune1.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes100.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	38
1	38
0	30

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	7982×	body	80	nan
676.0ms	8000×	body	80	valid