Details

sample145.0ms

Algorithm

intervals

Results

43.0ms

411×

body

valid

simplify225.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

224.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite125.0ms

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

70.0ms	(* 0.12900613773279798 (* (* x x) x))
34.0ms	(* (* x x) x)
16.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series259.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

137.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
62.0ms	(* 0.12900613773279798 (* (* x x) x))
59.0ms	(* (* x x) x)

simplify4.4s

Counts

37 → 81

Calls

37 calls:

Slowest

522.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
457.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
446.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
413.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
403.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))

prune576.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

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)))

rewrite22.0ms

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

12.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
9.0ms	(* 0.12900613773279798 (pow x 3))

series203.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

137.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
66.0ms	(* 0.12900613773279798 (pow x 3))

simplify3.2s

Counts

34 → 57

Calls

34 calls:

Slowest

899.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (pow x 3) (pow x 3)) (pow x 3)))
284.0ms	(fma 0.954929658551372 x (- (* (pow x 3) 0.12900613773279798)))
259.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
246.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
225.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune455.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

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))

rewrite46.0ms

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

21.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
14.0ms	(* (* 0.12900613773279798 x) x)
9.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series302.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

177.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
83.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
41.0ms	(* (* 0.12900613773279798 x) x)

simplify4.5s

Counts

37 → 74

Calls

37 calls:

Slowest

810.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
706.0ms	(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
335.0ms	(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))
298.0ms	(* (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) x)
279.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune573.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt x)
0.6b	(cbrt x)
0.6b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
11×	`pow1`
9×	`pow1/3`
6×	`swap-sqr` `associate-r` `associate-l` `add-exp-log`
4×	`expm1-log1p-u` `add-cbrt-cube` `insert-posit16` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 85

Calls

4 calls:

Slowest

8.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.2s

Counts

4 → 12

Calls

4 calls:

Slowest

307.0ms	(cbrt x)
304.0ms	(cbrt x)
293.0ms	(cbrt x)
287.0ms	(* (cbrt x) (cbrt x))

simplify948.0ms

Counts

63 → 97

Calls

63 calls:

Slowest

160.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
152.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
122.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
110.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
75.0ms	(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))

prune894.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes52.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.6s

Algorithm

intervals

Results

1.5s

12032×

body

valid