Details

sample25.0ms

Algorithm

intervals

Results

13.0ms

348×

body

valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	15
2	15
1	11
0	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(* (* x x) 2.0)
0.0b	(- (* (* x x) 2.0) 1.0)

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `add-log-exp`
3×	`-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

2 → 31

Calls

2 calls:

21.0ms	(* (* x x) 2.0)
20.0ms	(- (* (* x x) 2.0) 1.0)

series119.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(* (* x x) 2.0)
81.0ms	(- (* (* x x) 2.0) 1.0)

simplify686.0ms

Counts

37 → 37

Iterations

Iter	Nodes
done	5000
2	831
1	156
0	60

prune120.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* x x) 2.0)
0.0b	(- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0))
0.1b	(* (* (* x x) 2.0) (* (* x x) 2.0))
12.5b	(/ (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) (+ (* (* x x) 2.0) 1.0))

rewrite514.0ms

Algorithm

rewrite-expression-head

Rules

123×	`pow1`
69×	`pow-prod-down`
47×	`add-cbrt-cube` `add-exp-log`
30×	`prod-exp` `cbrt-unprod`
15×	`add-sqr-sqrt`
14×	`*-un-lft-identity` `add-cube-cbrt`
12×	`times-frac`
9×	`pow-sqr` `pow-prod-up`
6×	`add-log-exp`
5×	`difference-of-squares`
4×	`associate-r` `associate-/l*`
3×	`associate-/r*` `pow-plus`
2×	`flip3--` `associate-l` `associate-/r/` `*-commutative` `flip--` `associate-/l/`
1×	`pow2` `cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `swap-sqr` `div-exp` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 128

Calls

4 calls:

21.0ms	(* (* x x) 2.0)
106.0ms	(- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0))
115.0ms	(* (* (* x x) 2.0) (* (* x x) 2.0))
268.0ms	(/ (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) (+ (* (* x x) 2.0) 1.0))

series422.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* (* x x) 2.0)
133.0ms	(- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0))
55.0ms	(* (* (* x x) 2.0) (* (* x x) 2.0))
202.0ms	(/ (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) (+ (* (* x x) 2.0) 1.0))

simplify2.3s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	3182
1	468
0	153

prune381.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)) (/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0)))
0.1b	(/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0))
0.1b	(* (* (* x x) 2.0) (* (* x x) 2.0))
12.5b	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))

rewrite701.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
92×	`add-cbrt-cube` `add-exp-log`
66×	`pow-prod-down`
55×	`prod-exp` `cbrt-unprod`
16×	`add-sqr-sqrt`
12×	`cbrt-undiv` `div-exp`
10×	`*-un-lft-identity` `times-frac`
9×	`pow-sqr` `pow-prod-up`
8×	`associate-/r/` `add-cube-cbrt`
6×	`associate-/r*` `add-log-exp`
4×	`flip3-+` `flip-+` `div-inv` `difference-of-squares`
3×	`pow-plus` `distribute-rgt-out--`
2×	`clear-num` `frac-2neg` `associate-/l*`
1×	`pow2` `sub-neg` `flip3--` `diff-log` `swap-sqr` `associate-r` `associate-l` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 144

Calls

4 calls:

350.0ms	(- (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)) (/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0)))
41.0ms	(/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0))
126.0ms	(* (* (* x x) 2.0) (* (* x x) 2.0))
176.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))

series643.0ms

Counts

4 → 12

Calls

4 calls:

385.0ms	(- (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)) (/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0)))
56.0ms	(/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0))
67.0ms	(* (* (* x x) 2.0) (* (* x x) 2.0))
135.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))

simplify945.0ms

Counts

156 → 156

Iterations

Iter	Nodes
done	5000
1	707
0	204

prune444.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

Local error

Found 4 expressions with local error:

9.1b	(sqrt (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)))
9.1b	(sqrt (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)))
12.5b	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))
12.5b	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))

rewrite590.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-cbrt-cube` `add-exp-log`
54×	`prod-exp` `cbrt-unprod`
20×	`cbrt-undiv` `div-exp`
18×	`sqrt-prod`
16×	`add-sqr-sqrt`
14×	`times-frac`
12×	`*-un-lft-identity` `add-cube-cbrt`
8×	`associate-/r/`
6×	`pow1` `associate-/r*`
4×	`rem-sqrt-square` `flip3-+` `flip-+` `div-inv` `add-log-exp`
2×	`clear-num` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `associate-/l*`

Counts

4 → 120

Calls

4 calls:

143.0ms	(sqrt (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)))
143.0ms	(sqrt (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)))
148.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))
148.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))

series737.0ms

Counts

4 → 12

Calls

4 calls:

268.0ms	(sqrt (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)))
262.0ms	(sqrt (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)))
98.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))
109.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))

simplify1.0s

Counts

132 → 132

Iterations

Iter	Nodes
done	5000
1	614
0	185

prune666.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

regimes107.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample546.0ms

Algorithm

intervals

Results

373.0ms

10561×

body

valid