Details

sample169.0ms

Algorithm

intervals

Results

40.0ms

394×

body

valid

simplify172.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

172.0ms

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

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)))

rewrite81.0ms

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`

Counts

3 → 72

Calls

3 calls:

Slowest

44.0ms	(* 0.12900613773279798 (* (* x x) x))
21.0ms	(* (* x x) x)
13.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series298.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

176.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
70.0ms	(* 0.12900613773279798 (* (* x x) x))
51.0ms	(* (* x x) x)

simplify4.1s

Counts

37 → 81

Calls

37 calls:

Slowest

451.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
447.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
386.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
384.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))
379.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))

prune607.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

17×	`pow1` `add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`add-sqr-sqrt`
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×	`*-commutative`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `fma-neg` `diff-log` `prod-diff` `flip--` `unswap-sqr`

Counts

3 → 64

Calls

3 calls:

Slowest

62.0ms	(* (* 0.12900613773279798 (* x x)) x)
13.0ms	(* 0.12900613773279798 (* x x))
7.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))

series279.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

157.0ms	(- (* 0.954929658551372 x) (* (* 0.12900613773279798 (* x x)) x))
77.0ms	(* (* 0.12900613773279798 (* x x)) x)
44.0ms	(* 0.12900613773279798 (* x x))

simplify4.4s

Counts

34 → 73

Calls

34 calls:

Slowest

713.0ms	(* (* (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.12900613773279798 (* x x))) (* (* x x) x))
682.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) (* x x)) (* x x))) (* (* x x) x))
673.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
316.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* (* 0.12900613773279798 (* x x)) x)))
268.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune528.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 63

Calls

3 calls:

Slowest

64.0ms	(* (* (* 0.12900613773279798 x) x) x)
20.0ms	(* (* 0.12900613773279798 x) x)
7.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))

series628.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

448.0ms	(* (* (* 0.12900613773279798 x) x) x)
135.0ms	(- (* 0.954929658551372 x) (* (* (* 0.12900613773279798 x) x) x))
45.0ms	(* (* 0.12900613773279798 x) x)

simplify4.3s

Counts

33 → 72

Calls

33 calls:

Slowest

644.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
569.0ms	(* (* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x)) (* (* x x) x))
458.0ms	(* (* (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* (* 0.12900613773279798 x) x)) (* (* x x) x))
456.0ms	(* (* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x)) (* (* x x) x))
320.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* (* (* 0.12900613773279798 x) x) x)))

prune545.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.12900613773279798 (pow x 3))
0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt`
12×	`associate-r`
7×	`add-exp-log`
6×	`*-un-lft-identity` `add-cube-cbrt`
4×	`unpow-prod-down` `add-cbrt-cube` `cube-prod` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `sub-neg` `flip3--` `fma-neg` `diff-log` `unpow3` `prod-diff` `pow-exp` `*-commutative` `cbrt-unprod` `flip--`

Counts

2 → 51

Calls

2 calls:

Slowest

17.0ms	(* 0.12900613773279798 (pow x 3))
8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series238.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

186.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
52.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.1s

Counts

34 → 57

Calls

34 calls:

Slowest

820.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
274.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
266.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
246.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
244.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune408.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes44.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

12016×

body

valid