Details

sample62.0ms

Algorithm

intervals

Results

23.0ms	288×	body	80	nan
20.0ms	256×	body	80	valid

simplify2.8s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	180	19
4	356	19
5	657	19
6	935	19
7	1052	19
8	1133	19
done	1133	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

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))

rewrite188.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

9.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
98.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
55.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
19.0ms	(* 3.0 (* v v))

series1.3s

Counts

4 → 12

Calls

4 calls:

103.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
840.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
311.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
30.0ms	(* 3.0 (* v v))

simplify2.0s

Counts

140 → 140

Iterations

Useful iterations: 2 (686.0ms)

Iter	Nodes	Cost
0	278	3102
1	796	2836
2	2958	2648
done	5000	2648

prune555.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite198.0ms

Algorithm

rewrite-expression-head

Rules

42×	`add-sqr-sqrt`
30×	`sqrt-div`
26×	`associate-l`
24×	`sqrt-prod`
23×	`add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
22×	`times-frac`
18×	`frac-times`
17×	`pow1`
15×	`flip3--` `flip--`
14×	`associate-r`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`pow-prod-down` `unswap-sqr`
4×	`add-log-exp`
3×	`*-commutative`
2×	`cbrt-undiv` `div-exp`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `div-inv` `difference-of-squares`

Counts

4 → 127

Calls

4 calls:

112.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
10.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
44.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
21.0ms	(* 3.0 (* v v))

series752.0ms

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
87.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
275.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
41.0ms	(* 3.0 (* v v))

simplify1.6s

Counts

139 → 139

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	284	3053
1	730	2739
2	2419	2575
done	5001	2547

prune487.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize38.0ms

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))))) (sqrt (- (* 1.0 1.0) (pow v 4)))) (sqrt (+ 1.0 (* v v))))
0.0b	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.2b	(* 3.0 (* v v))

rewrite211.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
32×	`sqrt-div`
28×	`add-exp-log` `times-frac` `add-cbrt-cube`
26×	`sqrt-prod`
25×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
18×	`frac-times`
17×	`associate-/l/`
15×	`flip3--` `flip--`
12×	`pow1`
10×	`associate-*r/` `prod-exp` `cbrt-unprod`
9×	`associate-*l/`
7×	`associate-r` `unswap-sqr`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`pow-prod-down` `add-log-exp`
2×	`associate-/r/` `*-commutative` `div-inv`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `flip3-+` `pow1/2` `clear-num` `flip-+` `associate-/l*`

Counts

4 → 136

Calls

4 calls:

5.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
89.0ms	(/ (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- (* 1.0 1.0) (pow v 4)))) (sqrt (+ 1.0 (* v v))))
69.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
36.0ms	(* 3.0 (* v v))

series825.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
446.0ms	(/ (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- (* 1.0 1.0) (pow v 4)))) (sqrt (+ 1.0 (* v v))))
244.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
37.0ms	(* 3.0 (* v v))

simplify1.5s

Counts

148 → 148

Iterations

Useful iterations: 2 (597.0ms)

Iter	Nodes	Cost
0	316	3534
1	807	3180
2	2885	2924
done	5000	2924

prune931.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes63.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	36
1	29	36
done	29	36

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
860.0ms	8051×	body	80	nan