Details

sample122.0ms

Algorithm

intervals

Results

22.0ms

377×

body

valid

simplify193.0ms

Calls

1 calls:

Slowest

192.0ms

(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.2b	(* (* 0.12900613773279798 x) x)
0.0b	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
0.0b	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

rewrite170.0ms

Algorithm

rewrite-expression-head

Rules

95×	`add-sqr-sqrt`
75×	`associate-l`
66×	`prod-diff`
59×	`*-un-lft-identity`
47×	`add-cube-cbrt`
27×	`associate-r`
23×	`unswap-sqr`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`*-commutative`
6×	`distribute-lft-out--` `difference-of-squares`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log`

Calls

3 calls:

Slowest

110.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
32.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
20.0ms	(* (* 0.12900613773279798 x) x)

series317.0ms

Calls

3 calls:

Slowest

185.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
93.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
39.0ms	(* (* 0.12900613773279798 x) x)

simplify24.7s

Calls

187 calls:

Slowest

666.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
613.0ms	(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
494.0ms	(fma (sqrt 0.954929658551372) (sqrt 0.954929658551372) (- (* (* (* 0.12900613773279798 x) x) 1)))
425.0ms	(fma 1 0.954929658551372 (- (* (* (* (sqrt 0.12900613773279798) (sqrt x)) x) (* (sqrt 0.12900613773279798) (sqrt x)))))
415.0ms	(fma (sqrt 0.954929658551372) (sqrt 0.954929658551372) (- (* (* (* (sqrt 0.12900613773279798) (sqrt x)) x) (* (sqrt 0.12900613773279798) (sqrt x)))))

prune1.2s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b	(* 0.12900613773279798 (* x x))
0.0b	(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
0.0b	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

rewrite182.0ms

Algorithm

rewrite-expression-head

Rules

145×	`add-sqr-sqrt`
84×	`prod-diff`
75×	`associate-r`
69×	`*-un-lft-identity`
61×	`add-cube-cbrt`
41×	`unswap-sqr`
37×	`associate-l`
18×	`swap-sqr`
15×	`*-commutative`
12×	`difference-of-squares`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`add-log-exp`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
3×	`expm1-log1p-u` `fma-neg` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-*l/` `flip--`
1×	`sub-neg` `diff-log`

Calls

3 calls:

Slowest

121.0ms	(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
37.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
21.0ms	(* 0.12900613773279798 (* x x))

series270.0ms

Calls

3 calls:

Slowest

160.0ms	(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
79.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
31.0ms	(* 0.12900613773279798 (* x x))

simplify28.7s

Calls

241 calls:

Slowest

748.0ms	(fma 1 0.954929658551372 (- (* (* (cbrt x) x) (* 0.12900613773279798 (* (cbrt x) (cbrt x))))))
542.0ms	(* (* (* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* (* x x) x))
381.0ms	(fma (sqrt 0.954929658551372) (sqrt 0.954929658551372) (- (* (* (cbrt x) x) (* 0.12900613773279798 (* (cbrt x) (cbrt x))))))
378.0ms	(fma (* (cbrt 0.954929658551372) (cbrt 0.954929658551372)) (cbrt 0.954929658551372) (- (* (cbrt x) (* 0.12900613773279798 (* x (* (cbrt x) (cbrt x)))))))
372.0ms	(fma 1 0.954929658551372 (- (* (cbrt x) (* 0.12900613773279798 (* x (* (cbrt x) (cbrt x)))))))

prune1.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

20.6b	(sqrt (* (* 0.12900613773279798 x) x))
20.6b	(sqrt (* (* 0.12900613773279798 x) x))
0.3b	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
0.2b	(* (* 0.12900613773279798 x) x)

rewrite255.0ms

Algorithm

rewrite-expression-head

Rules

174×	`sqrt-prod`
163×	`add-sqr-sqrt`
148×	`pow1`
144×	`associate-l`
80×	`pow-prod-down`
74×	`unswap-sqr`
67×	`associate-r`
66×	`sqrt-pow1`
54×	`*-un-lft-identity`
42×	`add-cube-cbrt`
35×	`swap-sqr`
19×	`*-commutative`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-cbrt-cube` `add-exp-log` `pow-sqr`
6×	`rem-sqrt-square`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod`

Calls

4 calls:

Slowest

152.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
38.0ms	(* (* 0.12900613773279798 x) x)
34.0ms	(sqrt (* (* 0.12900613773279798 x) x))
20.0ms	(sqrt (* (* 0.12900613773279798 x) x))

series280.0ms

Calls

4 calls:

Slowest

129.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
69.0ms	(sqrt (* (* 0.12900613773279798 x) x))
44.0ms	(sqrt (* (* 0.12900613773279798 x) x))
38.0ms	(* (* 0.12900613773279798 x) x)

simplify6.4s

Calls

320 calls:

Slowest

627.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
471.0ms	(* (* (* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x))) (sqrt (* (* 0.12900613773279798 x) x))) (* (* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x))) (sqrt (* (* 0.12900613773279798 x) x))))
224.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x))
146.0ms	(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
126.0ms	(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))

prune2.3s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

20.6b	(sqrt (* (* 0.12900613773279798 x) x))
20.6b	(sqrt (* (* (sqrt 0.12900613773279798) x) x))
0.3b	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (sqrt 0.12900613773279798)))
0.3b	(* (sqrt 0.12900613773279798) x)

rewrite200.0ms

Algorithm

rewrite-expression-head

Rules

111×	`sqrt-prod`
105×	`add-sqr-sqrt`
83×	`associate-l`
46×	`unswap-sqr`
30×	`associate-r`
29×	`pow1`
27×	`*-un-lft-identity` `add-cube-cbrt`
15×	`pow-prod-down`
12×	`sqrt-pow1`
8×	`add-cbrt-cube` `add-exp-log` `*-commutative`
7×	`rem-sqrt-square`
4×	`expm1-log1p-u` `pow1/2` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`prod-exp` `cbrt-unprod`
1×	`sqrt-unprod`

Calls

4 calls:

Slowest

118.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (sqrt 0.12900613773279798)))
41.0ms	(sqrt (* (* (sqrt 0.12900613773279798) x) x))
20.0ms	(sqrt (* (* 0.12900613773279798 x) x))
15.0ms	(* (sqrt 0.12900613773279798) x)

series465.0ms

Calls

4 calls:

Slowest

211.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (sqrt 0.12900613773279798)))
123.0ms	(sqrt (* (* (sqrt 0.12900613773279798) x) x))
83.0ms	(* (sqrt 0.12900613773279798) x)
48.0ms	(sqrt (* (* 0.12900613773279798 x) x))

simplify2.6s

Calls

156 calls:

Slowest

324.0ms	(* (* (* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x))) (sqrt (* (* 0.12900613773279798 x) x))) (* (* (sqrt (sqrt 0.12900613773279798)) (sqrt (sqrt 0.12900613773279798))) (sqrt (sqrt 0.12900613773279798))))
160.0ms	(* -1 (* x (sqrt (pow (sqrt 0.12900613773279798) 3))))
140.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* x x) x))
69.0ms	(* x (sqrt (pow (sqrt 0.12900613773279798) 3)))
61.0ms	(* x (sqrt (pow (sqrt 0.12900613773279798) 3)))

prune2.2s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes88.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

12120×

body

valid