Details

Time bar (total: 19.1s)

sample116.0ms

Algorithm
intervals
Results
55.0ms247×body80nan
42.0ms256×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
62456
51446
4551
3188
287
132
016

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.1b
(* v (* PI v))
0.2b
(* 6 (* v v))
0.3b
(* PI v)
1.0b
(/ 4/3 (- PI (* v (* PI v))))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
18×add-cbrt-cube add-exp-log
16×pow1 *-un-lft-identity add-cube-cbrt
9×times-frac associate-*l*
7×pow-prod-down prod-exp cbrt-unprod
5×associate-*r*
4×insert-posit16 add-log-exp
3×associate-/r* *-commutative associate-/l*
2×associate-/r/ unswap-sqr
1×cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
Counts
4 → 88
Calls
4 calls:
13.0ms
(* v (* PI v))
13.0ms
(* 6 (* v v))
6.0ms
(* PI v)
7.0ms
(/ 4/3 (- PI (* v (* PI v))))

series242.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* v (* PI v))
48.0ms
(* 6 (* v v))
27.0ms
(* PI v)
117.0ms
(/ 4/3 (- PI (* v (* PI v))))

simplify2.1s

Counts
100 → 100
Iterations
IterNodes
34005
21019
1375
0157

prune959.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI v)
1.0b
(sqrt (- PI (* v (* PI v))))
1.0b
(sqrt (- PI (* v (* PI v))))
1.0b
(/ 4/3 (sqrt (- PI (* v (* PI v)))))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
23×*-un-lft-identity add-cube-cbrt
18×times-frac sqrt-prod
8×pow1 add-cbrt-cube add-exp-log
6×associate-/r* sqrt-div
4×insert-posit16 add-log-exp
3×flip3-- associate-*r* associate-*l* flip-- associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-/r/
1×cbrt-undiv clear-num frac-2neg div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 93
Calls
4 calls:
10.0ms
(* PI v)
7.0ms
(sqrt (- PI (* v (* PI v))))
7.0ms
(sqrt (- PI (* v (* PI v))))
15.0ms
(/ 4/3 (sqrt (- PI (* v (* PI v)))))

series595.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* PI v)
132.0ms
(sqrt (- PI (* v (* PI v))))
108.0ms
(sqrt (- PI (* v (* PI v))))
331.0ms
(/ 4/3 (sqrt (- PI (* v (* PI v)))))

simplify2.1s

Counts
105 → 105
Iterations
IterNodes
34436
21075
1385
0178

prune1.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt (/ 4/3 (- PI (* v (* PI v)))))
1.0b
(* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))
1.0b
(/ 4/3 (- PI (* v (* PI v))))
1.0b
(/ 4/3 (- PI (* v (* PI v))))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
90×add-sqr-sqrt
89×sqrt-prod
70×times-frac
59×*-un-lft-identity add-cube-cbrt
20×pow1 swap-sqr
18×associate-*r* associate-*l*
14×associate-/r/
10×add-cbrt-cube add-exp-log
9×sqrt-pow1 pow1/2 unswap-sqr
7×flip3-- div-inv flip--
6×associate-/r* associate-/l*
5×sqrt-div pow-prod-up
4×insert-posit16 add-log-exp
3×pow-prod-down pow-sqr
2×cbrt-undiv rem-sqrt-square clear-num frac-2neg div-exp
1×pow2 frac-times rem-square-sqrt pow-plus sqrt-unprod associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 182
Calls
4 calls:
5.0ms
(sqrt (/ 4/3 (- PI (* v (* PI v)))))
47.0ms
(* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))
13.0ms
(/ 4/3 (- PI (* v (* PI v))))
13.0ms
(/ 4/3 (- PI (* v (* PI v))))

series865.0ms

Counts
4 → 12
Calls
4 calls:
408.0ms
(sqrt (/ 4/3 (- PI (* v (* PI v)))))
221.0ms
(* (sqrt (/ 4/3 (- PI (* v (* PI v))))) (sqrt (/ 4/3 (- PI (* v (* PI v))))))
120.0ms
(/ 4/3 (- PI (* v (* PI v))))
116.0ms
(/ 4/3 (- PI (* v (* PI v))))

simplify3.0s

Counts
194 → 194
Iterations
IterNodes
36217
21627
1562
0261

prune2.4s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
222
122
018

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.7s8000×body80valid
1.3s7984×body80nan