Details

sample15.0ms

Algorithm

intervals

Results

7.0ms

348×

body

valid

simplify9.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	19
3	19
2	18
1	12
0	6

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-sqr-sqrt`
4×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`associate-r` `prod-diff` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `associate-l` `*-commutative` `flip--` `unswap-sqr`

Counts

2 → 39

Calls

2 calls:

14.0ms	(* (* x x) 2.0)
16.0ms	(- (* (* x x) 2.0) 1.0)

series96.0ms

Counts

2 → 6

Calls

2 calls:

28.0ms	(* (* x x) 2.0)
68.0ms	(- (* (* x x) 2.0) 1.0)

simplify1.0s

Counts

45 → 45

Iterations

Iter	Nodes
done	5000
2	1166
1	214
0	81

prune160.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite615.0ms

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×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `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-+` `fma-neg` `diff-log` `div-sub` `swap-sqr` `div-exp` `prod-diff` `flip-+` `div-inv` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

15.0ms	(* (* x x) 2.0)
85.0ms	(- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0))
123.0ms	(* (* (* x x) 2.0) (* (* x x) 2.0))
386.0ms	(/ (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) (+ (* (* x x) 2.0) 1.0))

series408.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(* (* x x) 2.0)
113.0ms	(- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0))
55.0ms	(* (* (* x x) 2.0) (* (* x x) 2.0))
210.0ms	(/ (- (* (* (* x x) 2.0) (* (* x x) 2.0)) (* 1.0 1.0)) (+ (* (* x x) 2.0) 1.0))

simplify2.3s

Counts

150 → 150

Iterations

Iter	Nodes
done	5000
2	3123
1	482
0	164

prune378.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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))

rewrite613.0ms

Algorithm

rewrite-expression-head

Rules

118×	`pow1`
92×	`add-cbrt-cube` `add-exp-log`
81×	`prod-diff`
67×	`times-frac`
66×	`pow-prod-down`
55×	`prod-exp` `cbrt-unprod`
54×	`add-sqr-sqrt`
48×	`*-un-lft-identity`
46×	`associate-/r/` `add-cube-cbrt`
23×	`flip3-+` `flip-+` `div-inv`
12×	`cbrt-undiv` `div-exp`
9×	`fma-neg` `pow-sqr` `pow-prod-up`
6×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `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 → 242

Calls

4 calls:

351.0ms	(- (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)) (/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0)))
39.0ms	(/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0))
85.0ms	(* (* (* x x) 2.0) (* (* x x) 2.0))
122.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))

series597.0ms

Counts

4 → 12

Calls

4 calls:

351.0ms	(- (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)) (/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0)))
77.0ms	(/ (* 1.0 1.0) (+ (* (* x x) 2.0) 1.0))
56.0ms	(* (* (* x x) 2.0) (* (* x x) 2.0))
113.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))

simplify1.0s

Counts

254 → 254

Iterations

Iter	Nodes
done	5001
1	1045
0	332

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize143.0ms

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)))
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))
20.5b	(fma (- (/ 1.0 (cbrt (+ (* (* x x) 2.0) 1.0)))) (/ 1.0 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))) (* (/ 1.0 (cbrt (+ (* (* x x) 2.0) 1.0))) (/ 1.0 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0))))))

rewrite368.0ms

Algorithm

rewrite-expression-head

Rules

98×	`add-cbrt-cube` `add-exp-log`
54×	`prod-exp` `cbrt-unprod`
20×	`cbrt-undiv` `div-exp`
12×	`add-sqr-sqrt`
10×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
9×	`sqrt-prod`
6×	`associate-/r*` `associate-/r/`
5×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`flip3-+` `flip-+` `div-inv`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `associate-/l*`
1×	`sqrt-pow1` `pow1/2` `sqrt-div` `fma-udef`

Counts

4 → 115

Calls

4 calls:

122.0ms	(sqrt (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)))
123.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))
118.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))
0.0ms	(fma (- (/ 1.0 (cbrt (+ (* (* x x) 2.0) 1.0)))) (/ 1.0 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))) (* (/ 1.0 (cbrt (+ (* (* x x) 2.0) 1.0))) (/ 1.0 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0))))))

series1.8s

Counts

4 → 12

Calls

4 calls:

276.0ms	(sqrt (/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0)))
107.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))
127.0ms	(/ (* (* (* x x) 2.0) (* (* x x) 2.0)) (+ (* (* x x) 2.0) 1.0))
1.3s	(fma (- (/ 1.0 (cbrt (+ (* (* x x) 2.0) 1.0)))) (/ 1.0 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0)))) (* (/ 1.0 (cbrt (+ (* (* x x) 2.0) 1.0))) (/ 1.0 (* (cbrt (+ (* (* x x) 2.0) 1.0)) (cbrt (+ (* (* x x) 2.0) 1.0))))))

simplify1.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5000
1	960
0	290

prune790.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	7
1	7
0	6

end0.0ms

sample492.0ms

Algorithm

intervals

Results

343.0ms

10561×

body

valid