Details

Time bar (total: 14.1s)

sample93.0ms

Algorithm
intervals
Results
41.0ms256×body80valid
35.0ms231×body80nan

simplify2.6s

Counts
1 → 1
Iterations
IterNodes
done5000
41057
3256
289
134
016

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
10×pow1
9×times-frac
6×add-log-exp
4×expm1-log1p-u insert-posit16 log1p-expm1-u
3×associate-/r* fma-neg associate-*l* prod-diff pow-prod-down prod-exp sqrt-prod cbrt-unprod associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv rem-sqrt-square clear-num sub-neg frac-2neg sqrt-pow1 pow1/2 diff-log div-exp associate-*r* *-commutative div-inv unswap-sqr
Counts
4 → 91
Calls
4 calls:
2.0ms
(sqrt (fma -6 (* v v) 2))
11.0ms
(- PI (* PI (* v v)))
27.0ms
(* PI (* v v))
13.0ms
(/ 4/3 (- PI (* PI (* v v))))

series294.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(sqrt (fma -6 (* v v) 2))
66.0ms
(- PI (* PI (* v v)))
29.0ms
(* PI (* v v))
113.0ms
(/ 4/3 (- PI (* PI (* v v))))

simplify1.4s

Counts
103 → 103
Iterations
IterNodes
done5005
21370
1419
0179

prune507.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- PI (* PI (* v v)))
0.2b
(* PI (* v v))
1.0b
(/ (cbrt 4/3) (- PI (* PI (* v v))))
1.0b
(* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* PI (* v v)))))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
38×times-frac
35×*-un-lft-identity add-cube-cbrt
25×associate-*r*
23×add-exp-log
22×cbrt-prod
16×add-cbrt-cube
14×pow1
9×prod-exp cbrt-unprod
6×pow-prod-down associate-/l* add-log-exp
4×expm1-log1p-u associate-*l* associate-/r/ insert-posit16 log1p-expm1-u unswap-sqr
3×cbrt-undiv associate-/r* flip3-- fma-neg div-exp prod-diff flip--
2×*-commutative div-inv
1×clear-num sub-neg frac-2neg diff-log associate-*r/
Counts
4 → 137
Calls
4 calls:
7.0ms
(- PI (* PI (* v v)))
16.0ms
(* PI (* v v))
7.0ms
(/ (cbrt 4/3) (- PI (* PI (* v v))))
51.0ms
(* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* PI (* v v)))))

series437.0ms

Counts
4 → 12
Calls
4 calls:
74.0ms
(- PI (* PI (* v v)))
38.0ms
(* PI (* v v))
154.0ms
(/ (cbrt 4/3) (- PI (* PI (* v v))))
171.0ms
(* (* (cbrt 4/3) (cbrt 4/3)) (/ (cbrt 4/3) (- PI (* PI (* v v)))))

simplify2.2s

Counts
149 → 149
Iterations
IterNodes
done5000
22611
1639
0222

prune640.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(- PI (* PI (* v v)))
0.0b
(log1p (sqrt (fma -6 (* v v) 2)))
0.2b
(* PI (* v v))
1.0b
(/ 4/3 (- PI (* PI (* v v))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
9×pow1 times-frac
6×add-log-exp
5×expm1-log1p-u
4×insert-posit16 log1p-expm1-u
3×associate-/r* fma-neg associate-*l* prod-diff pow-prod-down prod-exp cbrt-unprod associate-/l*
2×flip3-- associate-/r/ flip--
1×cbrt-undiv log1p-udef clear-num sub-neg frac-2neg diff-log div-exp associate-*r* log1p-expm1 *-commutative div-inv unswap-sqr
Counts
4 → 87
Calls
4 calls:
11.0ms
(- PI (* PI (* v v)))
1.0ms
(log1p (sqrt (fma -6 (* v v) 2)))
15.0ms
(* PI (* v v))
6.0ms
(/ 4/3 (- PI (* PI (* v v))))

series461.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- PI (* PI (* v v)))
227.0ms
(log1p (sqrt (fma -6 (* v v) 2)))
43.0ms
(* PI (* v v))
122.0ms
(/ 4/3 (- PI (* PI (* v v))))

simplify1.7s

Counts
99 → 99
Iterations
IterNodes
done5012
21666
1460
0192

prune545.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes66.0ms

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
done17
117
015

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.5s8000×body80valid
1.1s7626×body80nan