Details

sample56.0ms

Algorithm

intervals

Results

20.0ms	256×	body	80	valid
16.0ms	262×	body	80	nan

simplify2.9s

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

localize17.0ms

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))

rewrite169.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
26×	`associate-l`
22×	`add-exp-log` `times-frac` `add-cbrt-cube`
20×	`add-cube-cbrt` `*-un-lft-identity`
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`
3×	`*-commutative` `add-log-exp`
2×	`cbrt-undiv` `distribute-rgt-in` `sub-neg` `distribute-lft-in` `div-exp`
1×	`div-inv` `difference-of-squares`

Counts

3 → 113

Calls

3 calls:

42.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
94.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
29.0ms	(* 3.0 (* v v))

series804.0ms

Counts

3 → 9

Calls

3 calls:

299.0ms	(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
473.0ms	(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
32.0ms	(* 3.0 (* v v))

simplify1.9s

Counts

122 → 122

Iterations

Useful iterations: 2 (638.0ms)

Iter	Nodes	Cost
0	259	2814
1	746	2580
2	2779	2406
done	5000	2406

prune529.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (* 3.0 (* v v)) 3)
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (* v v))
0.1b	(* 3.0 (pow v 2))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log`
22×	`add-cbrt-cube`
20×	`pow1`
18×	`add-sqr-sqrt`
12×	`prod-exp`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*` `cbrt-unprod`
9×	`associate-l` `pow-prod-down`
6×	`unswap-sqr`
5×	`unpow-prod-down`
4×	`pow-exp` `add-log-exp`
3×	`pow-unpow` `pow-pow` `*-commutative` `rem-cube-cbrt` `sqr-pow`
2×	`pow-to-exp` `unpow2`
1×	`cube-mult` `unpow3` `cube-prod`

Counts

4 → 90

Calls

4 calls:

15.0ms	(pow (* 3.0 (* v v)) 3)
31.0ms	(* 3.0 (* v v))
24.0ms	(* 3.0 (* v v))
22.0ms	(* 3.0 (pow v 2))

series147.0ms

Counts

4 → 12

Calls

4 calls:

55.0ms	(pow (* 3.0 (* v v)) 3)
34.0ms	(* 3.0 (* v v))
29.0ms	(* 3.0 (* v v))
29.0ms	(* 3.0 (pow v 2))

simplify5.3s

Counts

102 → 102

Iterations

Useful iterations: 2 (111.0ms)

Iter	Nodes	Cost
0	99	777
1	199	628
2	609	601
3	4487	601
done	5000	601

prune529.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (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)))) (- 1.0 (* v v))))
0.1b	(* 3.0 (* v v))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 120

Calls

3 calls:

44.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
70.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
32.0ms	(* 3.0 (* v v))

series711.0ms

Counts

3 → 9

Calls

3 calls:

220.0ms	(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
461.0ms	(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
29.0ms	(* 3.0 (* v v))

simplify2.1s

Counts

129 → 129

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	284	3184
1	818	2948
2	3095	2744
done	5002	2734

prune560.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes55.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify16.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	26	42
1	34	42
done	34	42

end0.0ms

sample2.2s

Algorithm

intervals

Results

1.1s	7995×	body	80	nan
713.0ms	8000×	body	80	valid