Details

sample67.0ms

Algorithm

intervals

Results

43.0ms	256×	body	80	valid
9.0ms	256×	pre	80	true

simplify4.8s

Counts

1 → 1

Iterations

Iter	Nodes
4	4032
3	698
2	152
1	33
0	10

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.7b

localize13.0ms

Local error

Found 2 expressions with local error:

0.3b	(/ 1.0 (* i i))
0.8b	(/ 1/4 (- 4 (/ 1.0 (* i i))))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

31×	`add-sqr-sqrt`
25×	`times-frac`
23×	`*-un-lft-identity`
15×	`add-cube-cbrt`
9×	`add-cbrt-cube` `add-exp-log`
8×	`difference-of-squares`
7×	`associate-/r*`
6×	`associate-/l*`
4×	`distribute-lft-out--`
3×	`cbrt-undiv` `div-exp`
2×	`expm1-log1p-u` `pow1` `clear-num` `frac-2neg` `associate-/r/` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
1×	`flip3--` `prod-exp` `cbrt-unprod` `flip--`

Counts

2 → 68

Calls

2 calls:

17.0ms	(/ 1.0 (* i i))
32.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))

series106.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(/ 1.0 (* i i))
66.0ms	(/ 1/4 (- 4 (/ 1.0 (* i i))))

simplify900.0ms

Counts

74 → 74

Iterations

Iter	Nodes
3	2571
2	779
1	310
0	145

prune597.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite155.0ms

Algorithm

rewrite-expression-head

Rules

178×	`add-sqr-sqrt`
119×	`times-frac`
79×	`*-un-lft-identity`
49×	`add-cube-cbrt`
42×	`difference-of-squares`
36×	`associate-r`
35×	`sqrt-prod`
31×	`add-exp-log`
19×	`add-cbrt-cube`
18×	`associate-l`
14×	`associate-/r*`
11×	`div-exp`
8×	`prod-exp` `associate-/r/`
7×	`distribute-lft-out` `distribute-lft-out--`
6×	`pow1` `cbrt-undiv` `associate-/l*` `unswap-sqr`
4×	`cbrt-unprod` `div-inv`
3×	`expm1-log1p-u` `rec-exp` `1-exp` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`clear-num` `frac-2neg` `flip3-+` `flip3--` `flip-+` `flip--`
1×	`frac-times` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 187

Calls

3 calls:

84.0ms	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
34.0ms	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
31.0ms	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

series422.0ms

Counts

3 → 9

Calls

3 calls:

225.0ms	(* (/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i))) (/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i))))
103.0ms	(/ 1/4 (- (sqrt 4) (/ (sqrt 1.0) i)))
94.0ms	(/ 1 (+ (sqrt 4) (/ (sqrt 1.0) i)))

simplify1.4s

Counts

196 → 196

Iterations

Iter	Nodes
2	2318
1	708
0	258

prune1.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ 1.0 (* i i))
0.3b	(/ 1.0 (* i i))
0.3b	(/ 1.0 (* i i))
22.2b	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log`
22×	`times-frac`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
18×	`associate-l`
9×	`associate-/l*`
7×	`cbrt-undiv` `div-exp`
6×	`pow1`
5×	`prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `associate-r` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`clear-num` `associate-/r*` `frac-2neg` `difference-of-squares`
2×	`frac-times` `flip3-+` `associate-*r/` `associate-/r/` `flip-+` `unswap-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3--` `pow-prod-down` `associate-l/` `-commutative` `flip--` `distribute-lft-out`

Counts

4 → 119

Calls

4 calls:

7.0ms	(/ 1.0 (* i i))
8.0ms	(/ 1.0 (* i i))
6.0ms	(/ 1.0 (* i i))
54.0ms	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

series212.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ 1.0 (* i i))
35.0ms	(/ 1.0 (* i i))
33.0ms	(/ 1.0 (* i i))
108.0ms	(* (/ 1/4 (- (* 4 4) (* (/ 1.0 (* i i)) (/ 1.0 (* i i))))) (+ 4 (/ 1.0 (* i i))))

simplify1.4s

Counts

131 → 131

Iterations

Iter	Nodes
2	2339
1	577
0	168

prune1.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite198.0ms

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` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`unswap-sqr`
2×	`swap-sqr`

Counts

4 → 222

Calls

4 calls:

16.0ms	(* i (* i i))
18.0ms	(* i (* i i))
138.0ms	(* (* i (* i i)) (* i (* i i)))
22.0ms	(* (* i i) (* i i))

series209.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* i (* i i))
49.0ms	(* i (* i i))
75.0ms	(* (* i (* i i)) (* i (* i i)))
43.0ms	(* (* i i) (* i i))

simplify3.4s

Counts

234 → 234

Iterations

Iter	Nodes
4	4483
3	1367
2	553
1	325
0	122

prune2.1s

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes37.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	18
1	18
0	13

end0.0ms

sample1.3s

Algorithm

intervals

Results

965.0ms	8000×	body	80	valid
257.0ms	8000×	pre	80	true