Details

sample335.0ms

Algorithm

intervals

Results

199.0ms

392×

body

valid

simplify203.0ms

Calls

1 calls:

Slowest

202.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

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))

rewrite43.0ms

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`

Calls

3 calls:

Slowest

23.0ms	(* (* 0.12900613773279798 x) x)
13.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
4.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))

series251.0ms

Calls

3 calls:

Slowest

124.0ms	(* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) x)
84.0ms	(- 0.954929658551372 (* (* 0.12900613773279798 x) x))
42.0ms	(* (* 0.12900613773279798 x) x)

simplify3.9s

Calls

37 calls:

Slowest

686.0ms	(* (* (* (* 0.12900613773279798 x) (* 0.12900613773279798 x)) (* 0.12900613773279798 x)) (* (* x x) x))
667.0ms	(* (* (* (- 0.954929658551372 (* (* 0.12900613773279798 x) x)) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (- 0.954929658551372 (* (* 0.12900613773279798 x) x))) (* (* x x) x))
299.0ms	(* (- (* 0.954929658551372 0.954929658551372) (* (* (* 0.12900613773279798 x) x) (* (* 0.12900613773279798 x) x))) x)
276.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (pow x 3)))
267.0ms	(/ (exp 0.954929658551372) (exp (* (* 0.12900613773279798 x) x)))

prune505.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

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)))

rewrite89.0ms

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`

Calls

3 calls:

Slowest

54.0ms	(* 0.12900613773279798 (* (* x x) x))
20.0ms	(* (* x x) x)
14.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))

series268.0ms

Calls

3 calls:

Slowest

163.0ms	(- (* 0.954929658551372 x) (* 0.12900613773279798 (* (* x x) x)))
65.0ms	(* 0.12900613773279798 (* (* x x) x))
39.0ms	(* (* x x) x)

simplify4.4s

Calls

37 calls:

Slowest

496.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
479.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
452.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
431.0ms	(/ (exp (* 0.954929658551372 x)) (exp (* 0.12900613773279798 (* (* x x) x))))
412.0ms	(* (* (* 0.12900613773279798 0.12900613773279798) 0.12900613773279798) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune555.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (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))))

rewrite236.0ms

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`

Calls

4 calls:

Slowest

161.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
43.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
15.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
15.0ms	(* (* x x) x)

series486.0ms

Calls

4 calls:

Slowest

227.0ms	(- (* 0.954929658551372 x) (* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x))))
125.0ms	(* (sqrt 0.12900613773279798) (* (sqrt 0.12900613773279798) (* (* x x) x)))
94.0ms	(* (sqrt 0.12900613773279798) (* (* x x) x))
40.0ms	(* (* x x) x)

simplify6.5s

Calls

61 calls:

Slowest

858.0ms	(* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x))
395.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) (* x x)) (* x x)) (* (* x x) x)))
350.0ms	(- (* 0.954929658551372 x) (* (pow x 3) (pow (sqrt 0.12900613773279798) 2)))
347.0ms	(* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x))
345.0ms	(* (* (* (sqrt 0.12900613773279798) (sqrt 0.12900613773279798)) (sqrt 0.12900613773279798)) (* (* (* (* x x) x) (* (* x x) x)) (* (* x x) x)))

prune1.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize54.0ms

Local error

Found 4 expressions with local error:

34.4b	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))
34.4b	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))
34.4b	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))
0.3b	(* (cbrt (* (sqrt 0.12900613773279798) (* (* x x) x))) (cbrt (* (sqrt 0.12900613773279798) (* (* x x) x))))

rewrite199.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

67.0ms	(* (cbrt (* (sqrt 0.12900613773279798) (* (* x x) x))) (cbrt (* (sqrt 0.12900613773279798) (* (* x x) x))))
58.0ms	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))
44.0ms	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))
29.0ms	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))

series1.8s

Calls

4 calls:

Slowest

483.0ms	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))
461.0ms	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))
458.0ms	(* (cbrt (* (sqrt 0.12900613773279798) (* (* x x) x))) (cbrt (* (sqrt 0.12900613773279798) (* (* x x) x))))
436.0ms	(cbrt (* (sqrt 0.12900613773279798) (* (* x x) x)))

simplify4.2s

Calls

45 calls:

Slowest

322.0ms	(* (pow x 2) (pow (pow (sqrt 0.12900613773279798) 2) 1/3))
316.0ms	(* (* (sqrt 0.12900613773279798) (* (* x x) x)) (* (sqrt 0.12900613773279798) (* (* x x) x)))
313.0ms	(* (* (sqrt 0.12900613773279798) (* (* x x) x)) (* (sqrt 0.12900613773279798) (* (* x x) x)))
305.0ms	(* (* (pow x 2) (pow (cbrt -1) 2)) (pow (pow (sqrt 0.12900613773279798) 2) 1/3))
289.0ms	(* (pow x 2) (pow (pow (sqrt 0.12900613773279798) 2) 1/3))

prune982.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes85.0ms

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

11972×

body

valid