Details

sample26.0ms

Algorithm

intervals

Results

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

simplify4.4s

Counts

1 → 1

Iterations

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize24.0ms

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))))

rewrite85.0ms

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))
61.0ms	(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series254.0ms

Counts

2 → 6

Calls

2 calls:

117.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
137.0ms	(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify1.6s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1077
1	289
0	109

prune164.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* 4.0 i) (/ 1.0 i))
0.1b	(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

rewrite61.0ms

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:

16.0ms	(- (* 4.0 i) (/ 1.0 i))
44.0ms	(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

series274.0ms

Counts

2 → 6

Calls

2 calls:

108.0ms	(- (* 4.0 i) (/ 1.0 i))
166.0ms	(/ i (* (* 2.0 2.0) (- (* 4.0 i) (/ 1.0 i))))

simplify1.6s

Counts

43 → 43

Iterations

Iter	Nodes
done	5003
2	1075
1	286
0	108

prune239.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b	(/ (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))) i)
0.7b	(/ 1 (/ (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))) i))

rewrite195.0ms

Algorithm

rewrite-expression-head

Rules

46×	`add-exp-log`
36×	`times-frac`
26×	`add-cbrt-cube`
21×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
20×	`div-exp`
12×	`prod-exp`
10×	`cbrt-undiv` `associate-/r*`
6×	`cbrt-unprod` `div-inv`
5×	`add-log-exp`
4×	`pow1` `rec-exp` `1-exp` `associate-/l*`
2×	`clear-num` `frac-2neg` `flip3--` `associate-*r/` `flip--` `associate-/l/`
1×	`sub-neg` `diff-log` `associate-/r/` `pow-flip` `inv-pow`

Counts

3 → 97

Calls

3 calls:

19.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
79.0ms	(/ (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))) i)
92.0ms	(/ 1 (/ (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))) i))

series463.0ms

Counts

3 → 9

Calls

3 calls:

107.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
220.0ms	(/ (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))) i)
136.0ms	(/ 1 (/ (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))) i))

simplify2.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5004
2	1886
1	522
0	185

prune472.0ms

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

rewrite345.0ms

Algorithm

rewrite-expression-head

Rules

91×	`pow1`
73×	`add-cbrt-cube` `add-exp-log`
51×	`pow-prod-down` `prod-exp` `cbrt-unprod`
10×	`add-sqr-sqrt` `pow-prod-up`
8×	`associate-l`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`
3×	`unswap-sqr`
2×	`pow2` `pow-plus` `cube-unmult` `associate-*r/` `pow-sqr`
1×	`distribute-rgt-in` `distribute-lft-in` `flip3-+` `flip-+`

Counts

4 → 117

Calls

4 calls:

76.0ms	(* (* i i) (+ (* (* i i) 1.0) 0.25))
221.0ms	(* (* 4.0 (* i (* i i))) (* i (* i i)))
16.0ms	(* i (* i i))
26.0ms	(* i (* i i))

series280.0ms

Counts

4 → 12

Calls

4 calls:

113.0ms	(* (* i i) (+ (* (* i i) 1.0) 0.25))
75.0ms	(* (* 4.0 (* i (* i i))) (* i (* i i)))
52.0ms	(* i (* i i))
40.0ms	(* i (* i i))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5000
2	1941
1	434
0	130

prune330.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	12
1	12
0	10

end0.0ms

sample804.0ms

Algorithm

intervals

Results

546.0ms	8000×	body	80	valid
105.0ms	8000×	pre	80	true