Details

sample149.0ms

Algorithm

intervals

Results

36.0ms

366×

body

valid

simplify229.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

228.0ms

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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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)))

rewrite119.0ms

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

75.0ms	(* 0.12900613773279798 (* (* x x) x))
26.0ms	(* (* x x) x)
14.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series261.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

152.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
67.0ms	(* 0.12900613773279798 (* (* x x) x))
42.0ms	(* (* x x) x)

simplify4.2s

Counts

37 → 81

Calls

37 calls:

Slowest

474.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
451.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
431.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
396.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))
369.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))

prune607.0ms

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)))

rewrite32.0ms

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

16.0ms	(* 0.12900613773279798 (pow x 3))
15.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series193.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

142.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
51.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.1s

Counts

34 → 57

Calls

34 calls:

Slowest

861.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
277.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
259.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
244.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
208.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune514.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite9.0ms

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` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`expm1-log1p-u` `pow1` `insert-posit16` `log1p-expm1-u` `add-log-exp` `sqr-pow`
1×	`cube-mult` `pow-to-exp` `unpow3` `pow-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

2 → 45

Calls

2 calls:

Slowest

8.0ms	(* 0.12900613773279798 (pow x 3))
0.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))

series222.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

148.0ms	(fma 0.954929658551372 x (- (* 0.12900613773279798 (pow x 3))))
74.0ms	(* 0.12900613773279798 (pow x 3))

simplify2.6s

Counts

31 → 51

Calls

31 calls:

Slowest

887.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
221.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
213.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
211.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
195.0ms	(* (sqrt 0.12900613773279798) (pow x (/ 3 2)))

prune454.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite79.0ms

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

54.0ms	(* (* 0.12900613773279798 (* x x)) x)
24.0ms	(* 0.12900613773279798 (* x x))
0.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) x)))

series236.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

139.0ms	(fma 0.954929658551372 x (- (* (* 0.12900613773279798 (* x x)) x)))
51.0ms	(* (* 0.12900613773279798 (* x x)) x)
45.0ms	(* 0.12900613773279798 (* x x))

simplify3.6s

Counts

30 → 66

Calls

30 calls:

Slowest

663.0ms	(* (* (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x))) (* 0.12900613773279798 (* x x))) (* (* x x) x))
642.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) (* x x)) (* x x))) (* (* x x) x))
501.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* x x) x) (* (* x x) x))) (* (* x x) x))
295.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
289.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune509.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.1b remaining)

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

bsearch4.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.5s

11973×

body

valid