Details

sample103.0ms

Algorithm

intervals

Results

45.0ms	246×	body	80	nan
29.0ms	256×	body	80	valid

simplify6.2s

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize146.0ms

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

rewrite384.0ms

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` `insert-posit16` `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 → 146

Calls

4 calls:

85.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
13.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
198.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
75.0ms	(* 3.0 (* v v))

series964.0ms

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
124.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
511.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
36.0ms	(* 3.0 (* v v))

simplify6.6s

Counts

158 → 158

Iterations

Iter	Nodes
done	5000
2	3547
1	920
0	305

prune1.8s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize174.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
0.0b	(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b	(* (* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
0.2b	(* 3.0 (* v v))

rewrite274.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
26×	`associate-l`
23×	`*-un-lft-identity` `add-cbrt-cube` `add-exp-log` `add-cube-cbrt`
20×	`times-frac`
17×	`pow1`
13×	`sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-r`
7×	`pow-prod-down`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in` `associate-*l/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`flip3--` `*-commutative` `flip--`
2×	`frac-times` `cbrt-undiv` `sub-neg` `sqrt-div` `div-exp` `associate-*r/`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 124

Calls

4 calls:

44.0ms	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
27.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
141.0ms	(* (* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
44.0ms	(* 3.0 (* v v))

series1.6s

Counts

4 → 12

Calls

4 calls:

651.0ms	(* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v)))))))
121.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
751.0ms	(* (* (/ (sqrt 2.0) 4.0) (expm1 (log1p (sqrt (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v)))
36.0ms	(* 3.0 (* v v))

simplify6.4s

Counts

136 → 136

Iterations

Iter	Nodes
done	5065
2	3369
1	933
0	323

prune1.5s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize220.0ms

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))

rewrite395.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-plus` `unswap-sqr`
1×	`pow2` `swap-sqr`

Counts

4 → 129

Calls

4 calls:

222.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
63.0ms	(* 3.0 (* v v))
43.0ms	(* 3.0 (* v v))
56.0ms	(* 3.0 (* v v))

series231.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(* (* 3.0 (* v v)) (* 3.0 (* v v)))
58.0ms	(* 3.0 (* v v))
45.0ms	(* 3.0 (* v v))
34.0ms	(* 3.0 (* v v))

simplify11.1s

Counts

141 → 141

Iterations

Iter	Nodes
done	5005
3	4228
2	734
1	197
0	74

prune961.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes184.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify20.0ms

Iterations

Iter	Nodes
done	23
1	23
0	19

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.0s	8172×	body	80	nan
833.0ms	8000×	body	80	valid