Details

Time bar (total: 16.3s)

sample53.0ms

Algorithm
intervals
Results
17.0ms256×body80valid
17.0ms251×body80nan

simplify4.7s

Counts
1 → 1
Iterations
IterNodes
done1906
101906
91870
81842
71645
61282
5856
4432
3193
270
127
014

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 3 expressions with local error:

0.0b
(sqrt (fma 3.0 (* (- v) v) 1.0))
0.0b
(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0))
0.0b
(* (sqrt 2.0) (* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
26×add-sqr-sqrt
17×add-cbrt-cube add-exp-log
15×*-un-lft-identity add-cube-cbrt
14×associate-*r*
12×associate-*l*
11×pow1 times-frac sqrt-prod
7×prod-exp cbrt-unprod
4×pow-prod-down unswap-sqr
3×expm1-log1p-u associate-*r/ log1p-expm1-u add-log-exp
2×cbrt-undiv div-exp *-commutative
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
3 → 80
Calls
3 calls:
1.0ms
(sqrt (fma 3.0 (* (- v) v) 1.0))
14.0ms
(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0))
36.0ms
(* (sqrt 2.0) (* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0)))

series855.0ms

Counts
3 → 9
Calls
3 calls:
129.0ms
(sqrt (fma 3.0 (* (- v) v) 1.0))
322.0ms
(* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0))
404.0ms
(* (sqrt 2.0) (* (sqrt (fma 3.0 (* (- v) v) 1.0)) (/ (fma (- v) v 1.0) 4.0)))

simplify1.5s

Counts
89 → 89
Iterations
IterNodes
done5004
22711
1575
0208

prune699.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))
0.0b
(/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0)))
0.0b
(/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0)))
1.0b
(* (sqrt (* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))) (sqrt (* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))))

rewrite248.0ms

Algorithm
rewrite-expression-head
Rules
426×times-frac
267×add-sqr-sqrt
233×*-un-lft-identity add-cube-cbrt
139×sqrt-prod
87×associate-*r*
55×pow1
28×sqrt-pow1
26×associate-/r*
25×add-cbrt-cube add-exp-log
23×div-inv
21×pow-prod-down
12×associate-/l*
11×unswap-sqr
10×pow1/2 associate-*l* pow-prod-up
9×cbrt-undiv div-exp
6×associate-*r/ pow-sqr
4×expm1-log1p-u sqrt-div swap-sqr prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×associate-/r/
2×clear-num frac-2neg *-commutative
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/
Counts
4 → 399
Calls
4 calls:
55.0ms
(* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))
11.0ms
(/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0)))
17.0ms
(/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0)))
147.0ms
(* (sqrt (* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))) (sqrt (* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))))

series1.8s

Counts
4 → 12
Calls
4 calls:
505.0ms
(* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))
338.0ms
(/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0)))
421.0ms
(/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0)))
548.0ms
(* (sqrt (* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))) (sqrt (* (sqrt 2.0) (/ (sqrt (fma (- (* v v)) 3.0 1.0)) (/ 4.0 (fma v (- v) 1.0))))))

simplify761.0ms

Counts
411 → 411
Iterations
IterNodes
done5000
11350
0461

prune3.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.4s8164×body80nan
712.0ms8000×body80valid