Details

sample52.0ms

Algorithm

intervals

Results

23.0ms	288×	body	80	nan
13.0ms	256×	body	80	valid

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune6.0ms

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))

rewrite158.0ms

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:

12.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
72.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
36.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms	(* 3.0 (* v v))

series977.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
475.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
332.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
58.0ms	(* 3.0 (* v v))

simplify2.2s

Counts

154 → 154

Iterations

Useful iterations: done (2.2s)

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

prune709.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize36.0ms

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))

rewrite207.0ms

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:

95.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
13.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
57.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
35.0ms	(* 3.0 (* v v))

series900.0ms

Counts

4 → 12

Calls

4 calls:

437.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (sqrt (- 1.0 (* v v))))
125.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
306.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
31.0ms	(* 3.0 (* v v))

simplify1.6s

Counts

147 → 147

Iterations

Useful iterations: done (1.6s)

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

prune663.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-exp-log` `add-cbrt-cube`
20×	`add-sqr-sqrt`
16×	`sqrt-div`
14×	`pow1`
13×	`prod-exp` `sqrt-prod` `cbrt-unprod`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r/`
9×	`associate-l`
8×	`flip3--` `flip--` `associate-/l/`
7×	`associate-r`
6×	`cbrt-undiv` `div-exp` `pow-prod-down`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `frac-times` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `pow1/2`
2×	`associate-l/` `-commutative`
1×	`rem-sqrt-square` `frac-2neg` `times-frac` `sqrt-unprod` `clear-num` `associate-/r` `div-inv` `associate-/l`

Counts

4 → 107

Calls

4 calls:

83.0ms	(/ (* (sqrt (- (* 1.0 1.0) (pow v 4))) (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (* 4.0 (sqrt (fma v v 1.0))))
8.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
44.0ms	(* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
39.0ms	(* 3.0 (* v v))

series819.0ms

Counts

4 → 12

Calls

4 calls:

453.0ms	(/ (* (sqrt (- (* 1.0 1.0) (pow v 4))) (* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))) (* 4.0 (sqrt (fma v v 1.0))))
112.0ms	(sqrt (- 1.0 (* 3.0 (* v v))))
209.0ms	(* (sqrt 2.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
45.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

119 → 119

Iterations

Useful iterations: done (1.9s)

Iter	Nodes	Cost
0	249	2675
1	684	2313
2	3061	2042
done	5000	2041

prune796.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes64.0ms

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	35
1	29	35
done	29	35

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	8000×	body	80	valid
927.0ms	8051×	body	80	nan