Details

Time bar (total: 17.9s)

sample70.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
24.0ms259×body80nan

simplify4.1s

Counts
1 → 1
Iterations
IterNodes
done5002
64562
51910
4775
3235
273
129
014

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
0.0b
(sqrt (- 1 (* 3 (* v v))))
0.0b
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
0.2b
(* 3 (* v v))

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
25×*-un-lft-identity
24×add-cube-cbrt
23×add-cbrt-cube add-exp-log
22×times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
12×associate-*r*
10×prod-exp associate-*r/ cbrt-unprod
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp difference-of-squares
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv
Counts
4 → 147
Calls
4 calls:
90.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
7.0ms
(sqrt (- 1 (* 3 (* v v))))
45.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
32.0ms
(* 3 (* v v))

series648.0ms

Counts
4 → 12
Calls
4 calls:
312.0ms
(* (* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v))))) (- 1 (* v v)))
68.0ms
(sqrt (- 1 (* 3 (* v v))))
228.0ms
(* (/ (sqrt 2) 4) (sqrt (- 1 (* 3 (* v v)))))
40.0ms
(* 3 (* v v))

simplify2.2s

Counts
159 → 159
Iterations
IterNodes
done5009
23350
1873
0294

prune840.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

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

rewrite482.0ms

Algorithm
rewrite-expression-head
Rules
809×times-frac
501×add-sqr-sqrt
395×*-un-lft-identity
394×add-cube-cbrt
340×sqrt-prod
288×cbrt-prod
208×associate-*r*
92×add-exp-log
66×add-cbrt-cube
34×prod-exp cbrt-unprod
33×cbrt-undiv div-exp
30×unswap-sqr
22×associate-/r* div-inv
12×pow1
11×associate-*l*
10×frac-times
9×associate-/l*
7×associate-*l/
6×prod-diff associate-*r/
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u flip3-- pow-prod-down insert-posit16 log1p-expm1-u flip-- add-log-exp
2×sub-neg associate-/r/ *-commutative difference-of-squares
1×rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2
Counts
4 → 599
Calls
4 calls:
249.0ms
(* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt 4)) (/ (cbrt (sqrt 2)) (/ 2 (sqrt (fma (* v v) -3 1))))) (- 1 (* v v)))
1.0ms
(sqrt (fma (* v v) -3 1))
149.0ms
(* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt 4)) (/ (cbrt (sqrt 2)) (/ 2 (sqrt (fma (* v v) -3 1)))))
30.0ms
(/ (cbrt (sqrt 2)) (/ 2 (sqrt (fma (* v v) -3 1))))

series1.0s

Counts
4 → 12
Calls
4 calls:
334.0ms
(* (* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt 4)) (/ (cbrt (sqrt 2)) (/ 2 (sqrt (fma (* v v) -3 1))))) (- 1 (* v v)))
71.0ms
(sqrt (fma (* v v) -3 1))
218.0ms
(* (/ (* (cbrt (sqrt 2)) (cbrt (sqrt 2))) (sqrt 4)) (/ (cbrt (sqrt 2)) (/ 2 (sqrt (fma (* v v) -3 1)))))
402.0ms
(/ (cbrt (sqrt 2)) (/ 2 (sqrt (fma (* v v) -3 1))))

simplify3.1s

Counts
611 → 611
Iterations
IterNodes
done5000
12660
0752

prune2.9s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes71.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done19
119
014

end0.0ms

sample2.3s

Algorithm
intervals
Results
1.2s7787×body80nan
786.0ms8000×body80valid