Details

sample183.0ms

Algorithm

intervals

Results

40.0ms

377×

body

valid

simplify258.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

257.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

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))

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	(* (* 0.12900613773279798 x) x)
12.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
11.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series424.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

307.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
69.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
48.0ms	(* (* 0.12900613773279798 x) x)

simplify3.6s

Counts

37 → 74

Calls

37 calls:

Slowest

619.0ms	(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
458.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
298.0ms	(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))
268.0ms	(* (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) x)
240.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))

prune483.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

17.5b	(sqrt (* (* 0.12900613773279798 x) x))
17.5b	(sqrt (* (* 0.12900613773279798 x) x))
0.4b	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
0.2b	(* (* 0.12900613773279798 x) x)

rewrite151.0ms

Algorithm

rewrite-expression-head

Rules

148×	`pow1`
80×	`pow-prod-down`
66×	`sqrt-pow1`
17×	`pow-prod-up`
14×	`pow1/2`
11×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `pow-sqr`
9×	`*-un-lft-identity` `add-cube-cbrt`
7×	`associate-r`
6×	`sqrt-prod`
5×	`associate-l`
4×	`expm1-log1p-u` `swap-sqr` `prod-exp` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative`
1×	`pow2` `rem-square-sqrt` `pow-plus` `sqrt-unprod` `unswap-sqr`

Counts

4 → 120

Calls

4 calls:

Slowest

86.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
22.0ms	(* (* 0.12900613773279798 x) x)
21.0ms	(sqrt (* (* 0.12900613773279798 x) x))
19.0ms	(sqrt (* (* 0.12900613773279798 x) x))

series245.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

93.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
67.0ms	(sqrt (* (* 0.12900613773279798 x) x))
46.0ms	(sqrt (* (* 0.12900613773279798 x) x))
39.0ms	(* (* 0.12900613773279798 x) x)

simplify3.6s

Counts

126 → 132

Calls

126 calls:

Slowest

626.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
376.0ms	(* (* (* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x))) (sqrt (* (* 0.12900613773279798 x) x))) (* (* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x))) (sqrt (* (* 0.12900613773279798 x) x))))
246.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x))
132.0ms	(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))
129.0ms	(* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b	(* 0.12900613773279798 (* (* x x) x))
0.1b	(* (* x x) x)
0.0b	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

rewrite105.0ms

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

59.0ms	(* 0.12900613773279798 (* (* x x) x))
29.0ms	(* (* x x) x)
16.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series244.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

134.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
72.0ms	(* 0.12900613773279798 (* (* x x) x))
37.0ms	(* (* x x) x)

simplify3.9s

Counts

37 → 81

Calls

37 calls:

Slowest

440.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
420.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))
370.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
368.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
362.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune595.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.7b	(cbrt x)
0.7b	(cbrt x)
0.7b	(cbrt x)
0.5b	(* (cbrt x) (cbrt x))

rewrite10.0ms

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

7.0ms	(* (cbrt x) (cbrt x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

Slowest

346.0ms	(* (cbrt x) (cbrt x))
293.0ms	(cbrt x)
251.0ms	(cbrt x)
224.0ms	(cbrt x)

simplify870.0ms

Counts

63 → 97

Calls

63 calls:

Slowest

161.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
133.0ms	(* (pow (pow x 2) 1/3) (pow (cbrt -1) 2))
122.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
111.0ms	(* (pow (* x -1) 1/3) (cbrt -1))
61.0ms	(* (* (cbrt (cbrt x)) (cbrt (cbrt x))) (* (cbrt (cbrt x)) (cbrt (cbrt x))))

prune861.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.1b remaining)

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

bsearch3.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

1.5s

11982×

body

valid