Details

sample57.0ms

Algorithm

intervals

Results

20.0ms	288×	body	80	nan
19.0ms	256×	body	80	valid

simplify3.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	27	19
2	70	19
3	192	19
4	400	19
5	753	19
6	1058	19
7	1202	19
8	1312	19
9	1318	19
done	1318	19

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))

rewrite222.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
26×	`associate-l`
24×	`add-cube-cbrt` `*-un-lft-identity`
23×	`add-exp-log` `add-cbrt-cube`
22×	`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`
6×	`prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`expm1-log1p-u` `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 → 142

Calls

4 calls:

17.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
126.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
35.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
31.0ms	(* 3.0 (* v v))

series980.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
517.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
282.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
31.0ms	(* 3.0 (* v v))

simplify2.1s

Counts

154 → 154

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	301	3466
1	858	3174
2	3184	2946
done	5001	2938

prune543.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

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))

rewrite205.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 135

Calls

4 calls:

104.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
7.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
61.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
21.0ms	(* 3.0 (* v v))

series861.0ms

Counts

4 → 12

Calls

4 calls:

395.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
124.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
307.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms	(* 3.0 (* v v))

simplify1.5s

Counts

147 → 147

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	292	3153
1	755	2819
2	2522	2633
done	5000	2627

prune705.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (* (sqrt (- (* 1.0 1.0) (pow v 4))) (* (/ (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))

rewrite246.0ms

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--`
13×	`associate-*r/`
12×	`pow1`
10×	`prod-exp` `cbrt-unprod`
7×	`associate-r` `unswap-sqr`
6×	`cbrt-undiv` `div-exp` `associate-l/` `associate-/r`
4×	`expm1-log1p-u` `pow-prod-down` `log1p-expm1-u` `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 → 144

Calls

4 calls:

150.0ms	(/ (* (sqrt (- (* 1.0 1.0) (pow v 4))) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (+ 1.0 (* v v))))
19.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
47.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
17.0ms	(* 3.0 (* v v))

series1.1s

Counts

4 → 12

Calls

4 calls:

548.0ms	(/ (* (sqrt (- (* 1.0 1.0) (pow v 4))) (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (sqrt (+ 1.0 (* v v))))
144.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
316.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
51.0ms	(* 3.0 (* v v))

simplify1.7s

Counts

156 → 156

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	324	3657
1	834	3274
2	2943	2928
done	5000	2927

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes28.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

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

end0.0ms

sample1.9s

Algorithm

intervals

Results

824.0ms	8000×	body	80	valid
746.0ms	8051×	body	80	nan