Details

Time bar (total: 35.3s)

sample92.0ms

Algorithm
intervals
Results
42.0ms271×body80nan
33.0ms256×body80valid

simplify1.9s

Counts
1 → 1

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize66.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v))))
0.5b
(/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))
0.0b
(/ (fma -5 (* v v) 1) PI)
0.0b
(sqrt (fma -6 (* v v) 2))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
308×times-frac
124×add-sqr-sqrt
123×*-un-lft-identity add-cube-cbrt
63×sqrt-prod
36×add-cbrt-cube add-exp-log
35×associate-/l*
19×div-inv
18×cbrt-undiv div-exp
16×associate-*r/ associate-/r/
10×associate-/r*
8×flip3-- flip--
5×pow1
4×expm1-log1p-u prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg
2×associate-/l/
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 260
Calls
4 calls:
Slowest
25.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v))))
21.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))
4.0ms
(/ (fma -5 (* v v) 1) PI)
1.0ms
(sqrt (fma -6 (* v v) 2))

series813.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
432.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))
186.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v))))
108.0ms
(/ (fma -5 (* v v) 1) PI)
87.0ms
(sqrt (fma -6 (* v v) 2))

simplify1.9s

Counts
272 → 272

prune3.4s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.4b
(/ (/ (fma -5 (* v v) 1) PI) (* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v)))))
0.4b
(* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v))))
0.0b
(/ (fma -5 (* v v) 1) PI)
0.0b
(sqrt (fma -6 (* v v) 2))

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
40×times-frac
34×add-sqr-sqrt
33×*-un-lft-identity add-cube-cbrt
32×add-cbrt-cube add-exp-log
20×distribute-rgt-in distribute-lft-in
16×associate-/l*
12×prod-diff
10×pow1 cbrt-undiv div-exp
9×prod-exp cbrt-unprod
8×associate-*r/
6×associate-*l* sqrt-prod
4×expm1-log1p-u associate-/r* sub-neg insert-posit16 log1p-expm1-u div-inv add-log-exp
3×pow-prod-down
2×clear-num frac-2neg flip3-- associate-/r/ flip--
1×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r* *-commutative associate-/l/
Counts
4 → 147
Calls
4 calls:
Slowest
48.0ms
(* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v))))
26.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v)))))
8.0ms
(/ (fma -5 (* v v) 1) PI)
2.0ms
(sqrt (fma -6 (* v v) 2))

series1.0s

Counts
4 → 12
Calls
4 calls:
Slowest
505.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v)))))
270.0ms
(* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v))))
139.0ms
(/ (fma -5 (* v v) 1) PI)
92.0ms
(sqrt (fma -6 (* v v) 2))

simplify1.3s

Counts
159 → 159

prune2.4s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) (* t (- 1 (* v v))))
0.0b
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
0.0b
(/ (fma -5 (* v v) 1) PI)
0.0b
(sqrt (fma -6 (* v v) 2))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
496×times-frac
229×add-sqr-sqrt
228×*-un-lft-identity add-cube-cbrt
123×sqrt-prod
98×associate-/l*
32×add-cbrt-cube add-exp-log
24×div-inv
16×cbrt-undiv div-exp
10×associate-/r*
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg prod-exp cbrt-unprod
2×associate-*r/ associate-/r/ associate-/l/
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 flip--
Counts
4 → 354
Calls
4 calls:
Slowest
24.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) (* t (- 1 (* v v))))
8.0ms
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
4.0ms
(/ (fma -5 (* v v) 1) PI)
1.0ms
(sqrt (fma -6 (* v v) 2))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
495.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) (* t (- 1 (* v v))))
374.0ms
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
124.0ms
(/ (fma -5 (* v v) 1) PI)
82.0ms
(sqrt (fma -6 (* v v) 2))

simplify786.0ms

Counts
366 → 366

prune5.0s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v))))
0.3b
(/ (/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (cbrt (sqrt (fma -6 (* v v) 2))))
0.3b
(/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2)))))
0.0b
(* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
711×times-frac
230×add-sqr-sqrt
208×*-un-lft-identity add-cube-cbrt
184×cbrt-prod
112×add-exp-log
92×sqrt-prod
79×add-cbrt-cube
61×cbrt-undiv div-exp
55×associate-/l*
39×div-inv
26×associate-*r/ associate-/r/
21×prod-exp cbrt-unprod
13×flip3-- flip--
11×pow1 associate-/r* swap-sqr
9×associate-*r* associate-*l* unswap-sqr
6×pow1/3
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-/l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus *-commutative
Counts
4 → 458
Calls
4 calls:
Slowest
46.0ms
(/ (/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (cbrt (sqrt (fma -6 (* v v) 2))))
25.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2)))))
23.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v))))
10.0ms
(* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
545.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2)))))
462.0ms
(/ (/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (cbrt (sqrt (fma -6 (* v v) 2))))
176.0ms
(* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))
161.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v))))

simplify2.3s

Counts
470 → 470

prune7.1s

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes140.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.0s8000×body80valid
1.8s8024×body80nan