Details

sample304.0ms

Algorithm

intervals

Results

78.0ms

397×

body

valid

simplify467.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

466.0ms

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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)))

rewrite73.0ms

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

46.0ms	(* 0.12900613773279798 (* (* x x) x))
15.0ms	(* (* x x) x)
8.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series285.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

165.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
68.0ms	(* 0.12900613773279798 (* (* x x) x))
51.0ms	(* (* x x) x)

simplify4.1s

Counts

37 → 81

Calls

37 calls:

Slowest

444.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
442.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
413.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
399.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))
394.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))

prune700.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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)))

rewrite16.0ms

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

8.0ms	(* 0.12900613773279798 (pow x 3))
7.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

series206.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

128.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
77.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.1s

Counts

34 → 57

Calls

34 calls:

Slowest

919.0ms	(* (* (* 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)))
274.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
249.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
240.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune469.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 3 expressions with local error:

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

rewrite67.0ms

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

29.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
27.0ms	(* (* 0.12900613773279798 x) x)
9.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series328.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

170.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
112.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
46.0ms	(* (* 0.12900613773279798 x) x)

simplify4.4s

Counts

37 → 74

Calls

37 calls:

Slowest

724.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
650.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x))
625.0ms	(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
306.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
271.0ms	(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))

prune550.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite261.0ms

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`

Counts

4 → 105

Calls

4 calls:

Slowest

142.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
76.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
29.0ms	(* (* x x) x)
13.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))

series503.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

237.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
128.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
80.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
57.0ms	(* (* x x) x)

simplify6.0s

Counts

61 → 117

Calls

61 calls:

Slowest

442.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
432.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
402.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
352.0ms	(fma 0.954929658551372 x (- (* (* (sqrt 0.12900613773279798) (* (* x x) x)) (sqrt 0.12900613773279798))))
338.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))

prune976.0ms

Pruning

6 alts after pruning (3 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

sample1.3s

Algorithm

intervals

Results

1.1s

12011×

body

valid