Details

Time bar (total: 10.2s)

sample85.0ms

Algorithm
intervals
Results
37.0ms256×body80valid
31.0ms241×body80nan

simplify737.0ms

Counts
1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4/3 (- PI (* v (* PI v))))
0.3b
(* PI v)
0.2b
(* v (* PI v))
0.0b
(/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
162×times-frac
98×add-sqr-sqrt
96×*-un-lft-identity add-cube-cbrt
48×sqrt-prod
18×add-cbrt-cube add-exp-log associate-/l*
16×associate-/r/
11×pow1
9×associate-/r* div-inv
8×flip3-- flip--
6×associate-*l*
4×expm1-log1p-u cbrt-undiv div-exp associate-*r* pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg *-commutative
1×unswap-sqr associate-/l/
Counts
4 → 203
Calls
4 calls:
Slowest
27.0ms
(* v (* PI v))
26.0ms
(/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))
13.0ms
(/ 4/3 (- PI (* v (* PI v))))
10.0ms
(* PI v)

series617.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
447.0ms
(/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))
98.0ms
(/ 4/3 (- PI (* v (* PI v))))
37.0ms
(* PI v)
35.0ms
(* v (* PI v))

simplify608.0ms

Counts
315 → 215

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 101
Calls
4 calls:
Slowest
10.0ms
(* PI v)
7.0ms
(/ 4/3 (sqrt (- PI (* v (* PI v)))))
6.0ms
(sqrt (- PI (* v (* PI v))))
5.0ms
(sqrt (- PI (* v (* PI v))))

series594.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
305.0ms
(/ 4/3 (sqrt (- PI (* v (* PI v)))))
136.0ms
(sqrt (- PI (* v (* PI v))))
128.0ms
(sqrt (- PI (* v (* PI v))))
24.0ms
(* PI v)

simplify661.0ms

Counts
138 → 113

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes26.0ms

Accuracy

0% (0.0b remaining)

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

bsearch6.0ms

end0.0ms

sample2.9s

Algorithm
intervals
Results
1.6s8000×body80valid
1.1s8073×body80nan