Details

sample114.0ms

Algorithm

intervals

Results

67.0ms

380×

body

valid

simplify206.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

205.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.1b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

30×	`pow1`
16×	`add-cbrt-cube` `add-exp-log`
9×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`pow-plus` `pow-prod-up`
5×	`add-sqr-sqrt`
4×	`-un-lft-identity` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`pow2` `expm1-log1p-u` `pow-sqr` `*-commutative` `insert-posit16` `log1p-expm1-u` `add-log-exp`
1×	`pow3` `unswap-sqr`

Counts

2 → 55

Calls

2 calls:

Slowest

51.0ms	(* 0.12900613773279798 (* (* x x) x))
31.0ms	(* (* x x) x)

series102.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

55.0ms	(* 0.12900613773279798 (* (* x x) x))
47.0ms	(* (* x x) x)

simplify2.8s

Counts

31 → 61

Calls

31 calls:

Slowest

463.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
458.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
439.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
437.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
416.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))

prune522.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize20.0ms

Local error

Found 1 expressions with local error:

0.1b	(* 0.12900613773279798 (pow x 3))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 34

Calls

1 calls:

Slowest

17.0ms

(* 0.12900613773279798 (pow x 3))

series63.0ms

Counts

1 → 3

Calls

1 calls:

Slowest

63.0ms

(* 0.12900613773279798 (pow x 3))

simplify1.8s

Counts

28 → 37

Calls

28 calls:

Slowest

812.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
179.0ms	(* (sqrt 0.12900613773279798) (pow x (/ 3 2)))
166.0ms	(* (sqrt 0.12900613773279798) (pow x (/ 3 2)))
84.0ms	(+ (log 0.12900613773279798) (log (pow x 3)))
72.0ms	(* (sqrt 0.12900613773279798) (pow (sqrt x) 3))

prune322.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

Slowest

23.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
17.0ms	(* (* 0.12900613773279798 x) x)
6.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series228.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

116.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
80.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
32.0ms	(* (* 0.12900613773279798 x) x)

simplify3.8s

Counts

37 → 74

Calls

37 calls:

Slowest

607.0ms	(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
600.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
323.0ms	(* (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) x)
302.0ms	(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))
258.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune498.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

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

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`pow1` `add-cbrt-cube` `add-exp-log`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
5×	`add-log-exp`
4×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
3×	`expm1-log1p-u` `fma-neg` `prod-diff` `insert-posit16` `log1p-expm1-u`
2×	`flip3--` `associate-l/` `-commutative` `flip--` `unswap-sqr`
1×	`sub-neg` `diff-log`

Counts

3 → 66

Calls

3 calls:

Slowest

28.0ms	(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
14.0ms	(* 0.12900613773279798 (* x x))
6.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))

series282.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

149.0ms	(* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) x)
106.0ms	(- 0.954929658551372 (* 0.12900613773279798 (* x x)))
28.0ms	(* 0.12900613773279798 (* x x))

simplify3.5s

Counts

39 → 75

Calls

39 calls:

Slowest

595.0ms	(* (* (* (- 0.954929658551372 (* 0.12900613773279798 (* x x))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (- 0.954929658551372 (* 0.12900613773279798 (* x x)))) (* (* x x) x))
277.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
261.0ms	(* (- (* 0.954929658551372 0.954929658551372) (* (* 0.12900613773279798 (* x x)) (* 0.12900613773279798 (* x x)))) x)
260.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
259.0ms	(/ (exp 0.954929658551372) (exp (* 0.12900613773279798 (* x x))))

prune512.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

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

bsearch1.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.5s

11844×

body

valid