Details

sample24.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
3.0ms	256×	pre	80	true

simplify3.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	5261
4	4112
3	745
2	153
1	31
0	10

prune15.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

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))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 37

Calls

2 calls:

22.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
44.0ms	(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series270.0ms

Counts

2 → 6

Calls

2 calls:

130.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
140.0ms	(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify1.5s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1077
1	289
0	109

prune196.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (* 1.0 (* i i)) (* i i))
0.1b	(* i (* i i))
0.1b	(* i (* i i))
0.1b	(* (* i (* i i)) (* (* i (* i i)) 4.0))

rewrite344.0ms

Algorithm

rewrite-expression-head

Rules

107×	`pow1`
89×	`add-cbrt-cube` `add-exp-log`
63×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`pow-prod-up`
8×	`add-sqr-sqrt` `associate-l`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-r` `*-commutative` `add-log-exp`
2×	`pow2` `pow-plus` `cube-unmult` `pow-sqr` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

68.0ms	(* (* 1.0 (* i i)) (* i i))
24.0ms	(* i (* i i))
19.0ms	(* i (* i i))
228.0ms	(* (* i (* i i)) (* (* i (* i i)) 4.0))

series264.0ms

Counts

4 → 12

Calls

4 calls:

69.0ms	(* (* 1.0 (* i i)) (* i i))
64.0ms	(* i (* i i))
42.0ms	(* i (* i i))
88.0ms	(* (* i (* i i)) (* (* i (* i i)) 4.0))

simplify1.6s

Counts

134 → 134

Iterations

Iter	Nodes
done	5006
2	1161
1	342
0	121

prune303.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (/ 0.00390625 (* (* i i) (* i i))) 0.0625) (/ (/ 0.015625 i) i))
0.1b	(* (* i i) (* i i))
0.1b	(/ (/ 0.015625 i) i)
0.2b	(/ 0.00390625 (* (* i i) (* i i)))

rewrite490.0ms

Algorithm

rewrite-expression-head

Rules

115×	`pow1`
78×	`times-frac`
53×	`*-un-lft-identity`
48×	`add-sqr-sqrt` `add-cube-cbrt`
39×	`add-cbrt-cube` `add-exp-log`
36×	`pow-prod-up`
23×	`pow-prod-down`
22×	`pow-sqr`
18×	`pow-plus`
16×	`prod-exp` `cbrt-unprod` `associate-/l*`
13×	`pow2`
9×	`add-log-exp`
8×	`cbrt-undiv` `div-exp`
6×	`div-inv`
4×	`associate-/r*`
3×	`sum-log` `distribute-lft-out`
2×	`clear-num` `frac-2neg` `flip3-+` `frac-add` `flip-+`
1×	`+-commutative` `associate-+l+` `swap-sqr` `associate-r` `associate-l` `*-commutative` `unswap-sqr` `associate-/l/`

Counts

4 → 177

Calls

4 calls:

363.0ms	(+ (+ (/ 0.00390625 (* (* i i) (* i i))) 0.0625) (/ (/ 0.015625 i) i))
49.0ms	(* (* i i) (* i i))
17.0ms	(/ (/ 0.015625 i) i)
48.0ms	(/ 0.00390625 (* (* i i) (* i i)))

series213.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(+ (+ (/ 0.00390625 (* (* i i) (* i i))) 0.0625) (/ (/ 0.015625 i) i))
67.0ms	(* (* i i) (* i i))
30.0ms	(/ (/ 0.015625 i) i)
75.0ms	(/ 0.00390625 (* (* i i) (* i i)))

simplify1.7s

Counts

189 → 189

Iterations

Iter	Nodes
done	5009
2	2433
1	710
0	263

prune601.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.1b	(* (* i i) (* i i))
13.9b	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
41.2b	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

rewrite245.0ms

Algorithm

rewrite-expression-head

Rules

302×	`add-cbrt-cube` `add-exp-log`
168×	`prod-exp` `cbrt-unprod`
114×	`pow1`
76×	`cbrt-undiv` `div-exp`
36×	`pow-prod-up`
26×	`times-frac`
23×	`pow-prod-down`
22×	`pow-sqr`
20×	`add-sqr-sqrt`
18×	`pow-plus`
14×	`*-un-lft-identity` `add-cube-cbrt`
13×	`pow2`
7×	`div-inv`
6×	`associate-/l*` `difference-of-squares`
5×	`associate-/r*`
3×	`add-log-exp`
2×	`clear-num` `frac-2neg` `associate-/r/`
1×	`flip3--` `swap-sqr` `associate-r` `associate-l` `*-commutative` `flip--` `unswap-sqr` `associate-/l/`

Counts

3 → 220

Calls

3 calls:

23.0ms	(* (* i i) (* i i))
143.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
63.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

62.0ms	(* (* i i) (* i i))
129.0ms	(/ (/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i))) (- (* (* 2.0 i) (* 2.0 i)) 1.0))
44.0ms	(/ (* (* i i) (* i i)) (* (* 2.0 i) (* 2.0 i)))

simplify2.8s

Counts

229 → 229

Iterations

Iter	Nodes
done	5010
2	4496
1	816
0	277

prune368.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes89.0ms

Accuracy

99.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 32.0b

bsearch63.0ms

Steps

Iters	Range		Point
7	0.06240887830975301	4.4742802149053365	0.4965227290920667

simplify7.0ms

Iterations

Iter	Nodes
done	43
2	43
1	38
0	26

end0.0ms

sample1.2s

Algorithm

intervals

Results

529.0ms	8000×	pre	80	true
493.0ms	8000×	body	80	valid