Details

sample135.0ms

Algorithm

intervals

Results

39.0ms

368×

body

valid

simplify262.0ms

Counts

1 → 1

Calls

1 calls:

Slowest

262.0ms

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

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))

rewrite55.0ms

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

28.0ms	(* (* 0.12900613773279798 x) x)
19.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
5.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series328.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

163.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
103.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
61.0ms	(* (* 0.12900613773279798 x) x)

simplify9.0s

Counts

78 → 74

Calls

78 calls:

Slowest

709.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
696.0ms	(* (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) x)
564.0ms	(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
512.0ms	(* (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* (* 0.12900613773279798 x) x))
449.0ms	(- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)))

prune685.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize14.0ms

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)))

rewrite117.0ms

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

73.0ms	(* 0.12900613773279798 (* (* x x) x))
26.0ms	(* (* x x) x)
17.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series227.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

127.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
54.0ms	(* 0.12900613773279798 (* (* x x) x))
45.0ms	(* (* x x) x)

simplify10.4s

Counts

82 → 81

Calls

82 calls:

Slowest

559.0ms	(* (* (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))) (- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x))))
535.0ms	(* (* (* 0.12900613773279798 (* (* x x) x)) (* 0.12900613773279798 (* (* x x) x))) (* 0.12900613773279798 (* (* x x) x)))
503.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
496.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
467.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))

prune692.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

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

rewrite249.0ms

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

160.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
50.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
26.0ms	(* (* x x) x)
11.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))

series543.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

247.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
144.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
98.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
55.0ms	(* (* x x) x)

simplify18.7s

Counts

117 → 117

Calls

117 calls:

Slowest

583.0ms	(* (* (* (sqrt 0.12900613773279798) (* (* x x) x)) (* (sqrt 0.12900613773279798) (* (* x x) x))) (* (sqrt 0.12900613773279798) (* (* x x) x)))
575.0ms	(* (* (- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))) (- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))) (- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))))
567.0ms	(- (pow (* 0.954929658551372 x) 3) (pow (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))) 3))
510.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
503.0ms	(log (- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))))

prune1.1s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

22.3b	(sqrt (* (* 0.12900613773279798 x) x))
22.3b	(sqrt (* (* 0.12900613773279798 x) x))
0.3b	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
0.1b	(* (* 0.12900613773279798 x) x)

rewrite162.0ms

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

108.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
25.0ms	(* (* 0.12900613773279798 x) x)
15.0ms	(sqrt (* (* 0.12900613773279798 x) x))
11.0ms	(sqrt (* (* 0.12900613773279798 x) x))

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

132.0ms	(* (sqrt (* (* 0.12900613773279798 x) x)) (sqrt (* (* 0.12900613773279798 x) x)))
65.0ms	(sqrt (* (* 0.12900613773279798 x) x))
49.0ms	(* (* 0.12900613773279798 x) x)
41.0ms	(sqrt (* (* 0.12900613773279798 x) x))

simplify5.9s

Counts

133 → 132

Calls

133 calls:

Slowest

734.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
505.0ms	(* (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x)) (* (* 0.12900613773279798 x) x))
466.0ms	(* (* (* (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))))
407.0ms	(* (* (* (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))))
217.0ms	(* (* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* x x) x)) (* (* x x) x))

prune1.2s

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0b

regimes89.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample1.3s

Algorithm

intervals

Results

1.1s

12046×

body

valid