Details

Time bar (total: 1.8m)

sample174.0ms

Algorithm
intervals
Results
88.0ms310×body80nan
57.0ms256×body80valid

simplify1.8s

Counts
1 → 1

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

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
40.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))
12.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v))))
4.0ms
(/ (fma -5 (* v v) 1) PI)
1.0ms
(sqrt (fma -6 (* v v) 2))

series794.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
435.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v)))) (sqrt (fma -6 (* v v) 2)))
153.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* t (- 1 (* v v))))
128.0ms
(/ (fma -5 (* v v) 1) PI)
78.0ms
(sqrt (fma -6 (* v v) 2))

simplify2.1s

Counts
272 → 272

prune3.3s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

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

rewrite81.0ms

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
42.0ms
(* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v))))
25.0ms
(/ (/ (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))

series999.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
460.0ms
(/ (/ (fma -5 (* v v) 1) PI) (* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v)))))
318.0ms
(* (sqrt (fma -6 (* v v) 2)) (* t (- 1 (* v v))))
111.0ms
(sqrt (fma -6 (* v v) 2))
110.0ms
(/ (fma -5 (* v v) 1) PI)

simplify1.7s

Counts
159 → 159

prune1.9s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize52.0ms

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)
0.0b
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
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
18.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) (* t (- 1 (* v v))))
13.0ms
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
4.0ms
(/ (fma -5 (* v v) 1) PI)
2.0ms
(sqrt (fma -6 (* v v) 2))

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
467.0ms
(/ (/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2))) (* t (- 1 (* v v))))
364.0ms
(/ (/ (fma -5 (* v v) 1) PI) (sqrt (fma -6 (* v v) 2)))
169.0ms
(/ (fma -5 (* v v) 1) PI)
94.0ms
(sqrt (fma -6 (* v v) 2))

simplify1.0s

Counts
366 → 366

prune4.7s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize63.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (cbrt (sqrt (fma -6 (* v v) 2))))))
0.0b
(/ (* t (- 1 (* v v))) (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (cbrt (sqrt (fma -6 (* v v) 2)))))
0.0b
(* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))
0.0b
(/ (fma -5 (* v v) 1) PI)

rewrite413.0ms

Algorithm
rewrite-expression-head
Rules
15350×times-frac
5817×sqrt-prod
4236×add-sqr-sqrt
4214×*-un-lft-identity add-cube-cbrt
2248×cbrt-prod
562×div-inv
304×associate-/r*
89×add-exp-log
69×add-cbrt-cube
50×cbrt-undiv div-exp
24×associate-/l*
23×associate-/r/
14×prod-exp cbrt-unprod
11×pow1 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 associate-*r/ pow-sqr pow-prod-up
1×pow2 pow-plus flip3-- *-commutative flip--
Counts
4 → 3688
Calls
4 calls:
Slowest
48.0ms
(/ (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (cbrt (sqrt (fma -6 (* v v) 2))))))
21.0ms
(/ (* t (- 1 (* v v))) (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (cbrt (sqrt (fma -6 (* v v) 2)))))
20.0ms
(* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))
16.0ms
(/ (fma -5 (* v v) 1) PI)

series1.3s

Counts
4 → 12
Calls
4 calls:
Slowest
496.0ms
(/ (* t (- 1 (* v v))) (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (cbrt (sqrt (fma -6 (* v v) 2)))))
456.0ms
(/ (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))) (/ (* t (- 1 (* v v))) (/ (sqrt (/ (fma -5 (* v v) 1) PI)) (cbrt (sqrt (fma -6 (* v v) 2))))))
157.0ms
(* (cbrt (sqrt (fma -6 (* v v) 2))) (cbrt (sqrt (fma -6 (* v v) 2))))
154.0ms
(/ (fma -5 (* v v) 1) PI)

simplify30.6s

Counts
3700 → 3700

prune55.1s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample2.5s

Algorithm
intervals
Results
993.0ms8002×body80valid
968.0ms8148×body80nan