Details

sample17.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	256×	pre	80	true

simplify386.0ms

Counts

1 → 1

Iterations

Useful iterations: done (386.0ms)

Iter	Nodes	Cost
0	10	25
1	32	25
2	167	23
3	893	19
done	5000	17

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
17.8b	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-exp-log` `add-cbrt-cube`
9×	`prod-exp` `cbrt-unprod`
6×	`cbrt-undiv` `div-exp`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`add-cube-cbrt` `*-un-lft-identity` `prod-diff`
2×	`pow1` `expm1-log1p-u` `flip3--` `associate-*l/` `associate-/r/` `flip--` `log1p-expm1-u`
1×	`sub-neg` `frac-2neg` `times-frac` `fma-neg` `diff-log` `clear-num` `associate-/r` `div-inv` `associate-/l` `difference-of-squares`

Counts

2 → 48

Calls

2 calls:

14.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
22.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

series130.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (* (* 2.0 i) (* 2.0 i)) 1.0)
77.0ms	(/ (* i i) (* (- (* (* 2.0 i) (* 2.0 i)) 1.0) (* 2.0 2.0)))

simplify583.0ms

Counts

54 → 54

Iterations

Useful iterations: 2 (129.0ms)

Iter	Nodes	Cost
0	133	1166
1	388	1109
2	1773	813
done	5000	813

prune95.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ i (* (fma (* (* 2.0 i) 2.0) i (- 1.0)) (/ (* 2.0 2.0) i)))
17.2b	(* (fma (* (* 2.0 i) 2.0) i (- 1.0)) (/ (* 2.0 2.0) i))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
7×	`add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-r*`
4×	`pow1`
3×	`associate-l` `associate-/l*`
2×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `div-inv` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r` `associate-/r/` `-commutative`

Counts

2 → 58

Calls

2 calls:

7.0ms	(/ i (* (fma (* (* 2.0 i) 2.0) i (- 1.0)) (/ (* 2.0 2.0) i)))
11.0ms	(* (fma (* (* 2.0 i) 2.0) i (- 1.0)) (/ (* 2.0 2.0) i))

series209.0ms

Counts

2 → 6

Calls

2 calls:

86.0ms	(/ i (* (fma (* (* 2.0 i) 2.0) i (- 1.0)) (/ (* 2.0 2.0) i)))
123.0ms	(* (fma (* (* 2.0 i) 2.0) i (- 1.0)) (/ (* 2.0 2.0) i))

simplify505.0ms

Counts

64 → 64

Iterations

Useful iterations: 2 (105.0ms)

Iter	Nodes	Cost
0	128	1414
1	337	1388
2	1474	1088
done	5000	1088

prune111.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ i (- (* 16.0 i) (/ 4.0 i)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
3×	`add-exp-log` `associate-/r` `add-cbrt-cube` `associate-/l`
2×	`associate-/r/`
1×	`pow1` `cbrt-undiv` `expm1-log1p-u` `flip3--` `frac-2neg` `div-exp` `clear-num` `flip--` `log1p-expm1-u` `div-inv` `add-log-exp`

Counts

1 → 31

Calls

1 calls:

9.0ms

(/ i (- (* 16.0 i) (/ 4.0 i)))

series87.0ms

Counts

1 → 3

Calls

1 calls:

87.0ms

(/ i (- (* 16.0 i) (/ 4.0 i)))

simplify1.7s

Counts

34 → 34

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	87	535
1	201	520
2	685	479
3	3284	479
done	5000	478

prune62.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes10.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	8	9
done	8	9

end0.0ms

sample365.0ms

Algorithm

intervals

Results

211.0ms	8000×	body	80	valid
65.0ms	8000×	pre	80	true