Details

sample45.0ms

Algorithm

intervals

Results

17.0ms	262×	body	80	nan
14.0ms	256×	body	80	valid

simplify4.5s

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (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)))
0.1b	(* 3.0 (* v v))

rewrite176.0ms

Algorithm

rewrite-expression-head

Rules

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

39.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
88.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
38.0ms	(* 3.0 (* v v))

series838.0ms

Counts

3 → 9

Calls

3 calls:

299.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
486.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
53.0ms	(* 3.0 (* v v))

simplify2.2s

Counts

134 → 134

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	280	3160
1	803	2904
2	2997	2692
done	5001	2684

prune502.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ (sqrt 2.0) 4.0) (* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
0.0b	(* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
0.1b	(* 3.0 (* v v))

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-l`
25×	`add-sqr-sqrt`
22×	`add-exp-log` `add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
15×	`pow1`
13×	`sqrt-prod`
10×	`prod-exp` `cbrt-unprod`
8×	`associate-r/` `associate-r*`
7×	`pow-prod-down`
6×	`sqrt-div`
3×	`expm1-log1p-u` `flip3--` `*-commutative` `flip--` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cbrt-undiv` `frac-times` `div-exp`
1×	`associate-*l/` `div-inv`

Counts

3 → 95

Calls

3 calls:

60.0ms	(* (/ (sqrt 2.0) 4.0) (* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
46.0ms	(* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms	(* 3.0 (* v v))

series780.0ms

Counts

3 → 9

Calls

3 calls:

459.0ms	(* (/ (sqrt 2.0) 4.0) (* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v))))))
271.0ms	(* (fma (- v) v 1.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
50.0ms	(* 3.0 (* v v))

simplify1.8s

Counts

104 → 104

Iterations

Useful iterations: 2 (609.0ms)

Iter	Nodes	Cost
0	244	2177
1	647	2018
2	2439	1828
done	5002	1828

prune480.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite256.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log` `add-cbrt-cube`
22×	`pow1`
18×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `-un-lft-identity` `associate-l*`
10×	`pow-prod-down`
6×	`associate-r` `prod-diff`
5×	`distribute-rgt-in` `distribute-lft-in`
4×	`cbrt-undiv` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`pow-unpow` `pow-pow` `pow-exp` `*-commutative` `rem-cube-cbrt` `unswap-sqr`
2×	`frac-times` `sub-neg` `flip3--` `associate-*r/` `flip--`
1×	`cube-mult` `pow-to-exp` `unpow-prod-down` `times-frac` `unpow3` `cube-prod` `associate-*l/` `div-inv` `difference-of-squares` `sqr-pow`

Counts

4 → 115

Calls

4 calls:

177.0ms	(* (/ (* (sqrt 2.0) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* 4.0 (sqrt (fma (* 3.0 (* v v)) (fma (* 3.0 v) v 1.0) (* 1.0 1.0))))) (- 1.0 (* v v)))
30.0ms	(pow (* 3.0 (* v v)) 3)
18.0ms	(* 3.0 (* v v))
25.0ms	(* 3.0 (* v v))

series755.0ms

Counts

4 → 12

Calls

4 calls:

567.0ms	(* (/ (* (sqrt 2.0) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* 4.0 (sqrt (fma (* 3.0 (* v v)) (fma (* 3.0 v) v 1.0) (* 1.0 1.0))))) (- 1.0 (* v v)))
86.0ms	(pow (* 3.0 (* v v)) 3)
50.0ms	(* 3.0 (* v v))
52.0ms	(* 3.0 (* v v))

simplify2.0s

Counts

127 → 127

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	236	3580
1	655	3281
2	3299	2917
done	5000	2909

prune667.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes16.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	19
1	18	19
done	18	19

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.2s	7995×	body	80	nan
805.0ms	8000×	body	80	valid