Details

sample135.0ms

Algorithm

intervals

Results

45.0ms

393×

body

valid

simplify251.0ms

Calls

1 calls:

Slowest

251.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

0.1b	(* (* 0.12900613773279798 x) x)
0.1b	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

9×	`pow1` `add-cbrt-cube` `add-exp-log`
7×	`add-sqr-sqrt`
6×	`associate-r`
5×	`*-un-lft-identity` `add-cube-cbrt`
4×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`expm1-log1p-u` `associate-l/` `-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`flip3--` `flip--` `unswap-sqr`

Calls

2 calls:

Slowest

39.0ms	(* (* 0.12900613773279798 x) x)
26.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)

series231.0ms

Calls

2 calls:

Slowest

170.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
61.0ms	(* (* 0.12900613773279798 x) x)

simplify3.2s

Calls

25 calls:

Slowest

717.0ms	(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
619.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
266.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
251.0ms	(* (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) x)
235.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune411.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)
0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

rewrite80.0ms

Algorithm

rewrite-expression-head

Rules

31×	`pow1`
17×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt` `pow-plus` `pow-prod-up`
5×	`*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Calls

3 calls:

Slowest

35.0ms	(* 0.12900613773279798 (* (* x x) x))
27.0ms	(* (* x x) x)
16.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series250.0ms

Calls

3 calls:

Slowest

140.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
56.0ms	(* 0.12900613773279798 (* (* x x) x))
54.0ms	(* (* x x) x)

simplify4.2s

Calls

37 calls:

Slowest

482.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
466.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
443.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
368.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
366.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))

prune890.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt 0.12900613773279798) (* (* x x) x))
0.2b	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
0.1b	(* (* x x) x)
0.0b	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))

rewrite226.0ms

Algorithm

rewrite-expression-head

Rules

46×	`pow1`
32×	`add-cbrt-cube` `add-exp-log`
19×	`pow-prod-down` `prod-exp` `cbrt-unprod`
13×	`associate-l`
10×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `pow-prod-up` `sqrt-prod` `add-log-exp`
5×	`associate-r`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`*-commutative`
2×	`pow2` `pow-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `pow3` `flip--` `unswap-sqr`

Calls

4 calls:

Slowest

131.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
54.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
19.0ms	(* (* x x) x)
19.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))

series502.0ms

Calls

4 calls:

Slowest

201.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
161.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
97.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
43.0ms	(* (* x x) x)

simplify6.3s

Calls

61 calls:

Slowest

437.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
402.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))
397.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
379.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
365.0ms	(fma 0.954929658551372 x (- (* (* (sqrt 0.12900613773279798) (* (* x x) x)) (sqrt 0.12900613773279798))))

prune930.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x))))
0.2b	(* (sqrt 0.12900613773279798) (* (* x x) x))
0.2b	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x)))
0.1b	(* (* x x) x)

rewrite643.0ms

Algorithm

rewrite-expression-head

Rules

66×	`pow1`
52×	`add-cbrt-cube` `add-exp-log`
34×	`pow-prod-down` `prod-exp` `cbrt-unprod`
25×	`associate-l`
21×	`sqrt-prod`
14×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow-plus` `associate-r` `pow-prod-up`
4×	`expm1-log1p-u` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr`
1×	`pow3` `unswap-sqr`

Calls

4 calls:

Slowest

427.0ms	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x))))
124.0ms	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x)))
58.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
29.0ms	(* (* x x) x)

series584.0ms

Calls

4 calls:

Slowest

232.0ms	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x)))
177.0ms	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x))))
127.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
48.0ms	(* (* x x) x)

simplify10.8s

Calls

85 calls:

Slowest

530.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
482.0ms	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x))))
443.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
428.0ms	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x))))
423.0ms	(* (sqrt (sqrt 0.12900613773279798)) (* (sqrt (sqrt 0.12900613773279798)) (* (sqrt 0.12900613773279798) (* (* x x) x))))

prune1.4s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes76.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.7s

Algorithm

intervals

Results

1.5s

12006×

body

valid