Details

Time bar (total: 23.2s)

sample85.0ms

Algorithm
intervals
Results
40.0ms256×body80valid
29.0ms229×body80nan

simplify1.5s

Counts
1 → 1
Iterations
IterNodes
done2088
62088
51910
4775
3235
273
129
014

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
2396×times-frac
1170×add-sqr-sqrt
1169×*-un-lft-identity
1032×add-cube-cbrt
867×sqrt-prod
274×difference-of-squares
148×associate-/r*
52×div-inv
30×associate-/l*
20×add-cbrt-cube add-exp-log
10×cbrt-undiv div-exp
5×pow1
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×clear-num frac-2neg associate-/l/
1×rem-sqrt-square sqrt-pow1 flip3-- pow1/2 div-sub associate-/r/ flip--
Counts
4 → 1080
Calls
4 calls:
1.0ms
(sqrt (fma (* v v) -3 1))
10.0ms
(/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1)))
19.0ms
(/ (- 1 (* v v)) (/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1))))
5.0ms
(/ 4 (sqrt 2))

series732.0ms

Counts
4 → 10
Calls
4 calls:
72.0ms
(sqrt (fma (* v v) -3 1))
341.0ms
(/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1)))
319.0ms
(/ (- 1 (* v v)) (/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1))))
0.0ms
(/ 4 (sqrt 2))

simplify2.6s

Counts
1090 → 1090
Iterations
IterNodes
done2001
12001
01309

prune6.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize55.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* v v) (/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1))))
1.0b
(/ 1 (/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1))))
1.0b
(/ 4 (sqrt 2))
1.0b
(/ 4 (sqrt 2))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
2020×times-frac
909×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
744×sqrt-prod
284×associate-/r*
50×add-exp-log
46×div-inv
38×add-cbrt-cube
29×div-exp
20×cbrt-undiv
10×associate-/l*
5×pow1
4×expm1-log1p-u clear-num frac-2neg insert-posit16 log1p-expm1-u add-log-exp
3×rec-exp 1-exp prod-exp cbrt-unprod
2×associate-/r/
1×pow-flip inv-pow
Counts
4 → 958
Calls
4 calls:
39.0ms
(/ (* v v) (/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1))))
25.0ms
(/ 1 (/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1))))
9.0ms
(/ 4 (sqrt 2))
9.0ms
(/ 4 (sqrt 2))

series494.0ms

Counts
4 → 8
Calls
4 calls:
224.0ms
(/ (* v v) (/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1))))
270.0ms
(/ 1 (/ (/ 4 (sqrt 2)) (sqrt (fma (* v v) -3 1))))
0.0ms
(/ 4 (sqrt 2))
0.0ms
(/ 4 (sqrt 2))

simplify2.3s

Counts
966 → 966
Iterations
IterNodes
done2001
12001
01096

prune5.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes74.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations
IterNodes
done16
116
014

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s8000×body80valid
1.4s8155×body80nan