Details

Time bar (total: 14.6s)

sample119.0ms

Algorithm
intervals
Results
53.0ms256×body80valid
45.0ms284×body80nan

simplify1.3s

Counts
1 → 1
Iterations
IterNodes
done2036
52036
41057
3256
289
134
016

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
0.0b
(sqrt (fma -6 (* v v) 2))
0.0b
(/ (/ 4/3 PI) (- 1 (* v v)))
1.0b
(/ 4/3 PI)

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
1324×times-frac
662×add-sqr-sqrt
661×*-un-lft-identity
556×add-cube-cbrt
219×sqrt-prod
210×difference-of-squares
87×associate-/l*
51×div-inv
20×add-cbrt-cube add-exp-log
16×associate-/r/
14×associate-/r*
10×cbrt-undiv div-exp
8×flip3-- flip--
5×pow1
4×expm1-log1p-u 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 → 672
Calls
4 calls:
25.0ms
(/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
2.0ms
(sqrt (fma -6 (* v v) 2))
25.0ms
(/ (/ 4/3 PI) (- 1 (* v v)))
8.0ms
(/ 4/3 PI)

series695.0ms

Counts
4 → 10
Calls
4 calls:
503.0ms
(/ (/ (/ 4/3 PI) (- 1 (* v v))) (sqrt (fma -6 (* v v) 2)))
69.0ms
(sqrt (fma -6 (* v v) 2))
122.0ms
(/ (/ 4/3 PI) (- 1 (* v v)))
0.0ms
(/ 4/3 PI)

simplify2.2s

Counts
682 → 682
Iterations
IterNodes
done2000
12000
01055

prune3.9s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize62.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 2 (* 6 (* v v))))
0.0b
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
0.2b
(* 6 (* v v))
1.0b
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

rewrite230.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×expm1-log1p-u cbrt-undiv div-exp associate-*l* associate-*l/ insert-posit16 log1p-expm1-u add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-inv unswap-sqr
Counts
4 → 111
Calls
4 calls:
10.0ms
(sqrt (- 2 (* 6 (* v v))))
87.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
31.0ms
(* 6 (* v v))
99.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

series962.0ms

Counts
4 → 12
Calls
4 calls:
84.0ms
(sqrt (- 2 (* 6 (* v v))))
301.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
40.0ms
(* 6 (* v v))
537.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

simplify1.2s

Counts
123 → 123
Iterations
IterNodes
done2000
22000
1924
0310

prune609.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes140.0ms

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
done15
115
013

end0.0ms

sample3.2s

Algorithm
intervals
Results
1.6s8068×body80nan
1.3s8000×body80valid