Details

Time bar (total: 12.6s)

sample60.0ms

Algorithm
intervals
Results
24.0ms256×body80valid
23.0ms245×body80nan

simplify1.7s

Counts
1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite87.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
62×add-sqr-sqrt
60×*-un-lft-identity add-cube-cbrt
16×add-cbrt-cube add-exp-log associate-/l*
10×sqrt-prod
pow1
associate-/r* fma-neg associate-*l* prod-diff div-inv add-log-exp
expm1-log1p-u cbrt-undiv div-exp insert-posit16 log1p-expm1-u
pow-prod-down prod-exp cbrt-unprod
clear-num frac-2neg flip3-- associate-/r/ flip-- unswap-sqr
sub-neg diff-log associate-*r* *-commutative associate-/l/
Counts
4 → 158
Calls
4 calls:
Slowest
31.0ms
(* (sqrt (fma -6 (* v v) 2)) (* v v))
24.0ms
(/ (/ 4/3 PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
21.0ms
(- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))
7.0ms
(/ 4/3 PI)

series1.1s

Counts
4 → 10
Calls
4 calls:
Slowest
682.0ms
(/ (/ 4/3 PI) (- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v))))
282.0ms
(- (sqrt (fma -6 (* v v) 2)) (* (sqrt (fma -6 (* v v) 2)) (* v v)))
156.0ms
(* (sqrt (fma -6 (* v v) 2)) (* v v))
0.0ms
(/ 4/3 PI)

simplify1.5s

Counts
168 → 168

prune1.7s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(cbrt PI)
1.0b
(/ 4/3 (cbrt PI))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
21×cbrt-prod
18×times-frac
associate-/r* add-exp-log
add-cbrt-cube
expm1-log1p-u pow1 insert-posit16 log1p-expm1-u add-log-exp
pow1/3 associate-/l*
cbrt-undiv clear-num frac-2neg div-exp div-inv
Counts
4 → 84
Calls
4 calls:
Slowest
8.0ms
(/ 4/3 (cbrt PI))
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)
1.0ms
(cbrt PI)

series0.0ms

Counts
4 → 4
Calls
4 calls:
Slowest
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
0.0ms
(/ 4/3 (cbrt PI))

simplify2.0s

Counts
88 → 88

prune990.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample3.3s

Algorithm
intervals
Results
1.8s8000×body80valid
1.3s8216×body80nan