Details

Time bar (total: 1.6m)

sample88.0ms

Algorithm
intervals
Results
43.0ms241×body80nan
30.0ms256×body80valid

simplify181.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
181.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (- 1 (* v v)) (/ (sqrt 2) 4))
0.0b
(sqrt (fma (* v v) -3 1))
0.0b
(* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (fma (* v v) -3 1)))
0.0b
(- 1 (* v v))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×associate-*r*
25×*-un-lft-identity
23×add-cube-cbrt
20×times-frac
18×add-cbrt-cube add-exp-log
16×sqrt-prod
12×pow1
9×associate-*l/
7×prod-exp cbrt-unprod
6×associate-*l* add-log-exp
5×flip3-- flip--
4×expm1-log1p-u frac-times pow-prod-down insert-posit16 log1p-expm1-u difference-of-squares
3×fma-neg prod-diff unswap-sqr
2×cbrt-undiv div-exp associate-*r/ *-commutative
1×rem-sqrt-square sub-neg sqrt-pow1 pow1/2 diff-log div-inv
Counts
4 → 121
Calls
4 calls:
Slowest
58.0ms
(* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (fma (* v v) -3 1)))
23.0ms
(* (- 1 (* v v)) (/ (sqrt 2) 4))
11.0ms
(- 1 (* v v))
1.0ms
(sqrt (fma (* v v) -3 1))

series655.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
342.0ms
(* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (fma (* v v) -3 1)))
186.0ms
(* (- 1 (* v v)) (/ (sqrt 2) 4))
75.0ms
(sqrt (fma (* v v) -3 1))
53.0ms
(- 1 (* v v))

simplify28.4s

Counts
144 → 133
Calls
144 calls:
Slowest
957.0ms
(* (- (* 1 1) (* (* v v) (* v v))) (sqrt 2))
778.0ms
(* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)))
494.0ms
(real->posit16 (* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (fma (* v v) -3 1))))
468.0ms
(* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* 4 4) 4)))
466.0ms
(* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (sqrt (fma (* v v) -3 1)))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize57.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (sqrt (* (- 1 (* v v)) (/ (sqrt 2) 4))) (sqrt (* (- 1 (* v v)) (/ (sqrt 2) 4))))
0.0b
(* (- 1 (* v v)) (/ (sqrt 2) 4))
0.0b
(* (- 1 (* v v)) (/ (sqrt 2) 4))
0.0b
(sqrt (fma (* v v) -3 1))

rewrite161.0ms

Algorithm
rewrite-expression-head
Rules
60×sqrt-div
58×add-sqr-sqrt pow1
53×frac-times
48×associate-*r*
40×times-frac
39×*-un-lft-identity
37×add-cube-cbrt
33×associate-*l/
29×sqrt-pow1
28×flip3-- flip--
27×sqrt-prod
22×pow-prod-down
19×associate-*r/
16×add-cbrt-cube add-exp-log
14×associate-*l*
11×pow1/2
10×pow-prod-up
7×unswap-sqr
6×pow-sqr
5×prod-exp cbrt-unprod
4×expm1-log1p-u swap-sqr insert-posit16 log1p-expm1-u add-log-exp difference-of-squares
3×*-commutative
2×cbrt-undiv div-exp div-inv
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod
Counts
4 → 205
Calls
4 calls:
Slowest
100.0ms
(* (sqrt (* (- 1 (* v v)) (/ (sqrt 2) 4))) (sqrt (* (- 1 (* v v)) (/ (sqrt 2) 4))))
34.0ms
(* (- 1 (* v v)) (/ (sqrt 2) 4))
17.0ms
(* (- 1 (* v v)) (/ (sqrt 2) 4))
2.0ms
(sqrt (fma (* v v) -3 1))

series692.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
238.0ms
(* (sqrt (* (- 1 (* v v)) (/ (sqrt 2) 4))) (sqrt (* (- 1 (* v v)) (/ (sqrt 2) 4))))
204.0ms
(* (- 1 (* v v)) (/ (sqrt 2) 4))
184.0ms
(* (- 1 (* v v)) (/ (sqrt 2) 4))
66.0ms
(sqrt (fma (* v v) -3 1))

simplify55.4s

Counts
253 → 217
Calls
253 calls:
Slowest
714.0ms
(* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)))
677.0ms
(* (* (- 1 (* v v)) (/ (sqrt 2) 4)) (* (- 1 (* v v)) (/ (sqrt 2) 4)))
637.0ms
(* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (* (* (/ (sqrt 2) 4) (/ (sqrt 2) 4)) (/ (sqrt 2) 4)))
550.0ms
(* (* (* (- 1 (* v v)) (- 1 (* v v))) (- 1 (* v v))) (/ (* (* (sqrt 2) (sqrt 2)) (sqrt 2)) (* (* 4 4) 4)))
545.0ms
(* (- 1 (* v v)) (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (* (cbrt 4) (cbrt 4))))

prune2.7s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch3.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.3s8073×body80nan