Details

sample39.0ms

Algorithm

intervals

Results

21.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify3.8s

Counts

1 → 1

Iterations

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b	(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

rewrite76.0ms

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/` `log1p-expm1-u` `flip--`
1×	`clear-num` `sub-neg` `frac-2neg` `fma-neg` `diff-log` `prod-exp` `cbrt-unprod` `associate-/l/`

Counts

2 → 80

Calls

2 calls:

27.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
46.0ms	(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

series262.0ms

Counts

2 → 6

Calls

2 calls:

110.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
152.0ms	(/ (/ i (* 2.0 2.0)) (- (* (* 2.0 2.0) i) (/ 1.0 i)))

simplify2.0s

Counts

86 → 86

Iterations

Iter	Nodes
done	5000
2	2221
1	661
0	243

prune406.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (sqrt 1.0) (sqrt i))
0.5b	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
0.5b	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
60.6b	(fma (- (/ (sqrt 1.0) (sqrt i))) (/ (sqrt 1.0) (sqrt i)) (* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i))))

rewrite184.0ms

Algorithm

rewrite-expression-head

Rules

572×	`add-sqr-sqrt`
522×	`sqrt-prod`
516×	`times-frac`
264×	`*-un-lft-identity` `add-cube-cbrt`
136×	`swap-sqr`
80×	`associate-r` `associate-l`
50×	`unswap-sqr`
30×	`add-cbrt-cube` `add-exp-log`
18×	`pow1`
9×	`cbrt-undiv` `sqrt-undiv` `div-exp` `div-inv`
8×	`prod-exp` `cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `frac-times` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `pow-prod-down` `associate-l/` `associate-r/` `pow-sqr` `*-commutative` `pow-prod-up`
1×	`clear-num` `frac-2neg` `fma-udef`

Counts

4 → 475

Calls

4 calls:

6.0ms	(/ (sqrt 1.0) (sqrt i))
77.0ms	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
69.0ms	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
1.0ms	(fma (- (/ (sqrt 1.0) (sqrt i))) (/ (sqrt 1.0) (sqrt i)) (* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i))))

series627.0ms

Counts

4 → 12

Calls

4 calls:

98.0ms	(/ (sqrt 1.0) (sqrt i))
92.0ms	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
101.0ms	(* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i)))
337.0ms	(fma (- (/ (sqrt 1.0) (sqrt i))) (/ (sqrt 1.0) (sqrt i)) (* (/ (sqrt 1.0) (sqrt i)) (/ (sqrt 1.0) (sqrt i))))

simplify2.3s

Counts

487 → 487

Iterations

Iter	Nodes
done	5003
2	2534
1	876
0	263

prune1.8s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (/ i (* 2.0 2.0)))
0.2b	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (/ i (* 2.0 2.0))))

rewrite207.0ms

Algorithm

rewrite-expression-head

Rules

240×	`times-frac`
109×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
46×	`add-exp-log`
33×	`associate-/r*`
28×	`div-exp`
26×	`add-cbrt-cube`
23×	`div-inv`
14×	`cbrt-undiv`
13×	`prod-diff`
6×	`associate-/r/` `associate-/l*`
5×	`add-log-exp`
4×	`pow1` `rec-exp` `1-exp` `prod-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `flip3--` `cbrt-unprod` `flip--` `associate-/l/`
1×	`sub-neg` `fma-neg` `diff-log` `div-sub` `pow-flip` `inv-pow`

Counts

3 → 219

Calls

3 calls:

38.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
68.0ms	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (/ i (* 2.0 2.0)))
84.0ms	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (/ i (* 2.0 2.0))))

series371.0ms

Counts

3 → 9

Calls

3 calls:

95.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
161.0ms	(/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (/ i (* 2.0 2.0)))
115.0ms	(/ 1 (/ (- (* (* 2.0 2.0) i) (/ 1.0 i)) (/ i (* 2.0 2.0))))

simplify3.0s

Counts

228 → 228

Iterations

Iter	Nodes
done	5000
2	4847
1	1231
0	427

prune966.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* i (* i i)) (* i (* i i)))
0.1b	(* i (* i i))
0.1b	(* i (* i i))
0.1b	(* (* i i) (* i i))

rewrite233.0ms

Algorithm

rewrite-expression-head

Rules

403×	`pow1`
162×	`pow-prod-up`
102×	`pow-prod-down`
62×	`add-cbrt-cube` `add-exp-log`
54×	`pow-sqr`
41×	`pow-plus` `prod-exp` `cbrt-unprod`
30×	`pow2`
16×	`cube-unmult`
8×	`add-sqr-sqrt` `associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `associate-r` `*-commutative` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 218

Calls

4 calls:

119.0ms	(* (* i (* i i)) (* i (* i i)))
27.0ms	(* i (* i i))
30.0ms	(* i (* i i))
47.0ms	(* (* i i) (* i i))

series230.0ms

Counts

4 → 12

Calls

4 calls:

88.0ms	(* (* i (* i i)) (* i (* i i)))
42.0ms	(* i (* i i))
47.0ms	(* i (* i i))
52.0ms	(* (* i i) (* i i))

simplify2.6s

Counts

230 → 230

Iterations

Iter	Nodes
done	5006
3	2241
2	703
1	340
0	119

prune440.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample791.0ms

Algorithm

intervals

Results

558.0ms	8000×	body	80	valid
96.0ms	8000×	pre	80	true