Details

sample32.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify1.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	5002
3	709
2	152
1	33
0	10

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 4 i) (/ 1.0 i))
0.1b	(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
12×	`times-frac`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-exp` `cbrt-unprod`

Counts

2 → 55

Calls

2 calls:

9.0ms	(- (* 4 i) (/ 1.0 i))
18.0ms	(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

series255.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(- (* 4 i) (/ 1.0 i))
133.0ms	(/ i (* (- (* 4 i) (/ 1.0 i)) 4))

simplify1.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5006
2	1523
1	491
0	189

prune224.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* i 4) (/ 1.0 i))
0.1b	(/ i (* (- (* i 4) (/ 1.0 i)) 4))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

13×	`prod-diff`
12×	`times-frac`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`add-cbrt-cube` `add-exp-log`
4×	`add-log-exp`
3×	`associate-/l*`
2×	`expm1-log1p-u` `pow1` `cbrt-undiv` `flip3--` `div-exp` `associate-*l/` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `flip--`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-exp` `cbrt-unprod`

Counts

2 → 55

Calls

2 calls:

13.0ms	(- (* i 4) (/ 1.0 i))
24.0ms	(/ i (* (- (* i 4) (/ 1.0 i)) 4))

series211.0ms

Counts

2 → 6

Calls

2 calls:

95.0ms	(- (* i 4) (/ 1.0 i))
116.0ms	(/ i (* (- (* i 4) (/ 1.0 i)) 4))

simplify1.4s

Counts

61 → 61

Iterations

Iter	Nodes
done	5002
2	1479
1	491
0	190

prune224.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* i 4) (/ 1.0 i))
0.1b	(/ (* (- (* i 4) (/ 1.0 i)) 4) i)
0.6b	(/ 1 (/ (* (- (* i 4) (/ 1.0 i)) 4) i))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
29×	`add-exp-log`
28×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
17×	`add-cbrt-cube`
14×	`div-exp`
13×	`prod-diff`
10×	`associate-/r*`
7×	`cbrt-undiv` `div-inv`
5×	`add-log-exp`
4×	`pow1` `prod-exp` `associate-/l*`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `associate-*l/` `cbrt-unprod` `flip--` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 114

Calls

3 calls:

9.0ms	(- (* i 4) (/ 1.0 i))
21.0ms	(/ (* (- (* i 4) (/ 1.0 i)) 4) i)
32.0ms	(/ 1 (/ (* (- (* i 4) (/ 1.0 i)) 4) i))

series399.0ms

Counts

3 → 9

Calls

3 calls:

110.0ms	(- (* i 4) (/ 1.0 i))
178.0ms	(/ (* (- (* i 4) (/ 1.0 i)) 4) i)
111.0ms	(/ 1 (/ (* (- (* i 4) (/ 1.0 i)) 4) i))

simplify1.8s

Counts

123 → 123

Iterations

Iter	Nodes
done	5004
2	2217
1	707
0	264

prune441.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.25 (* i i) (fma (* (* (* i i) (* i i)) (* i i)) 4.0 (* 1.0 (* (* i i) (* i i)))))
0.1b	(* (* (* i i) (* i i)) (* i i))
0.1b	(* (* i i) (* i i))
0.1b	(* (* i i) (* i i))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

891×	`pow1`
378×	`pow-prod-up`
190×	`pow-prod-down`
163×	`pow-plus`
159×	`pow-sqr`
102×	`pow2`
69×	`add-cbrt-cube` `add-exp-log`
47×	`prod-exp` `cbrt-unprod`
4×	`add-sqr-sqrt` `expm1-log1p-u` `*-un-lft-identity` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `associate-l` `*-commutative` `unswap-sqr`
2×	`swap-sqr`
1×	`pow3` `fma-udef`

Counts

4 → 354

Calls

4 calls:

0.0ms	(fma 0.25 (* i i) (fma (* (* (* i i) (* i i)) (* i i)) 4.0 (* 1.0 (* (* i i) (* i i)))))
106.0ms	(* (* (* i i) (* i i)) (* i i))
27.0ms	(* (* i i) (* i i))
35.0ms	(* (* i i) (* i i))

series212.0ms

Counts

4 → 12

Calls

4 calls:

81.0ms	(fma 0.25 (* i i) (fma (* (* (* i i) (* i i)) (* i i)) 4.0 (* 1.0 (* (* i i) (* i i)))))
53.0ms	(* (* (* i i) (* i i)) (* i i))
41.0ms	(* (* i i) (* i i))
36.0ms	(* (* i i) (* i i))

simplify2.8s

Counts

366 → 366

Iterations

Iter	Nodes
done	5002
3	2970
2	899
1	351
0	139

prune407.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes80.0ms

Accuracy

0% (0.4b remaining)

Error of 0.5b against oracle of 0.1b and baseline of 0.5b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	14
1	14
0	10

end0.0ms

sample1.6s

Algorithm

intervals

Results

860.0ms	8000×	body	80	valid
597.0ms	8000×	pre	80	true