Details

sample43.0ms

Algorithm

intervals

Results

15.0ms	256×	body	80	valid
7.0ms	256×	pre	80	true

simplify10.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5148
4	3823
3	744
2	157
1	32
0	10

prune44.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize113.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.3b	(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 82

Calls

2 calls:

89.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
150.0ms	(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series301.0ms

Counts

2 → 6

Calls

2 calls:

142.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
159.0ms	(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify4.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	5002
2	2215
1	664
0	245

prune751.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize252.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ i (* 2.0 2.0)))
0.7b	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))
0.7b	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))
0.7b	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

16×	`cbrt-prod`
9×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-div`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `pow1/3` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`times-frac` `flip3--` `flip--`
1×	`div-inv`

Counts

4 → 67

Calls

4 calls:

9.0ms	(cbrt (/ i (* 2.0 2.0)))
64.0ms	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))
48.0ms	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))
77.0ms	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series1.6s

Counts

4 → 12

Calls

4 calls:

363.0ms	(cbrt (/ i (* 2.0 2.0)))
403.0ms	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))
405.0ms	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))
426.0ms	(cbrt (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify6.7s

Counts

79 → 79

Iterations

Iter	Nodes
done	5144
3	3464
2	852
1	309
0	144

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize189.0ms

Local error

Found 4 expressions with local error:

0.1b	(* i (* i i))
0.1b	(* i (* i i))
0.1b	(* (* i i) (* i i))
0.2b	(* (* i i) 0.25)

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
46×	`pow-prod-up`
32×	`pow-prod-down`
31×	`add-cbrt-cube` `add-exp-log`
24×	`pow-sqr`
20×	`pow-plus`
17×	`prod-exp` `cbrt-unprod`
15×	`pow2`
10×	`add-sqr-sqrt`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`cube-unmult`
1×	`swap-sqr`

Counts

4 → 142

Calls

4 calls:

39.0ms	(* i (* i i))
56.0ms	(* i (* i i))
83.0ms	(* (* i i) (* i i))
65.0ms	(* (* i i) 0.25)

series250.0ms

Counts

4 → 12

Calls

4 calls:

71.0ms	(* i (* i i))
62.0ms	(* i (* i i))
57.0ms	(* (* i i) (* i i))
60.0ms	(* (* i i) 0.25)

simplify14.7s

Counts

154 → 154

Iterations

Iter	Nodes
done	5000
2	1103
1	268
0	99

prune765.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize74.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma 0.015625 (/ 1 (* i i)) (fma (/ (/ 1 (* i i)) (* i i)) 0.00390625 0.0625))
0.1b	(/ (/ 1 (* i i)) (* i i))
0.9b	(/ 1 (* i i))
0.9b	(/ 1 (* i i))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

75×	`pow1`
71×	`add-exp-log`
35×	`add-cbrt-cube`
32×	`pow-flip`
30×	`div-exp`
22×	`pow-div`
19×	`times-frac` `prod-exp`
14×	`cbrt-undiv`
13×	`associate-/l*`
12×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
10×	`pow2` `pow-plus` `pow-sqr` `pow-prod-up`
8×	`rec-exp` `1-exp`
7×	`pow-prod-down` `cbrt-unprod`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `inv-pow` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg`
1×	`fma-udef` `associate-/l/`

Counts

4 → 152

Calls

4 calls:

1.0ms	(fma 0.015625 (/ 1 (* i i)) (fma (/ (/ 1 (* i i)) (* i i)) 0.00390625 0.0625))
73.0ms	(/ (/ 1 (* i i)) (* i i))
50.0ms	(/ 1 (* i i))
50.0ms	(/ 1 (* i i))

series148.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(fma 0.015625 (/ 1 (* i i)) (fma (/ (/ 1 (* i i)) (* i i)) 0.00390625 0.0625))
49.0ms	(/ (/ 1 (* i i)) (* i i))
22.0ms	(/ 1 (* i i))
29.0ms	(/ 1 (* i i))

simplify3.9s

Counts

164 → 164

Iterations

Iter	Nodes
done	5000
2	1006
1	299
0	134

prune948.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes156.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

712.0ms	8000×	body	80	valid
234.0ms	8000×	pre	80	true