Details

sample103.0ms

Algorithm

intervals

Results

55.0ms

380×

body

valid

simplify885.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

884.0ms

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

prune31.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite98.0ms

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

61.0ms	(* 0.12900613773279798 (* (* x x) x))
17.0ms	(* (* x x) x)
15.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series279.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

141.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
70.0ms	(* 0.12900613773279798 (* (* x x) x))
68.0ms	(* (* x x) x)

simplify4.1s

Counts

37 → 81

Calls

37 calls:

Slowest

434.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
413.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))
398.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
393.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
380.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune586.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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)))

rewrite36.0ms

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

20.0ms	(* 0.12900613773279798 (pow x 3))
15.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series207.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

142.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
65.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.1s

Counts

34 → 57

Calls

34 calls:

Slowest

908.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
248.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
240.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
232.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
221.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune514.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 3 expressions with local error:

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

rewrite84.0ms

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`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`pow2` `pow-sqr` `*-commutative`
1×	`pow3` `fma-udef` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

Slowest

53.0ms	(* 0.12900613773279798 (* (* x x) x))
30.0ms	(* (* x x) x)
0.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (* (* x x) x))))

series255.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

144.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (* (* x x) x))))
56.0ms	(* (* x x) x)
55.0ms	(* 0.12900613773279798 (* (* x x) x))

simplify3.6s

Counts

34 → 75

Calls

34 calls:

Slowest

552.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
460.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
435.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
411.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
371.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune676.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

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

rewrite59.0ms

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`
4×	`associate-r` `associate-l`
3×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`fma-udef` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

Slowest

44.0ms	(* (* 0.12900613773279798 (* x x)) x)
13.0ms	(* 0.12900613773279798 (* x x))
0.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) x)))

series263.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

159.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) x)))
54.0ms	(* 0.12900613773279798 (* x x))
50.0ms	(* (* 0.12900613773279798 (* x x)) x)

simplify3.4s

Counts

30 → 66

Calls

30 calls:

Slowest

643.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) (* x x)) (* x x))) (* (* x x) x))
642.0ms	(* (* (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.12900613773279798 (* x x))) (* (* x x) x))
471.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
239.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
236.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune624.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes35.0ms

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

11897×

body

valid