Details

Time bar (total: 1.1m)

sample57.0ms

Algorithm
intervals
Results
22.0ms256×body80valid
20.0ms241×body80nan

simplify269.0ms

Counts
1 → 1
Calls
1 calls:
Slowest
269.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize44.0ms

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)))

rewrite69.0ms

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
18.0ms
(/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))
18.0ms
(* v (* PI v))
14.0ms
(/ 4/3 (- PI (* v (* PI v))))
12.0ms
(* PI v)

series690.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
530.0ms
(/ (/ 4/3 (- PI (* v (* PI v)))) (sqrt (fma (* v -6) v 2)))
106.0ms
(/ 4/3 (- PI (* v (* PI v))))
28.0ms
(* v (* PI v))
26.0ms
(* PI v)

simplify43.9s

Counts
315 → 215
Calls
315 calls:
Slowest
1.0s
(/ 4/3 (- (pow PI 3) (pow (* v (* PI v)) 3)))
593.0ms
(/ (sqrt (fma (* v -6) v 2)) (/ 4/3 (- PI (* v (* PI v)))))
552.0ms
(/ (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))) (sqrt (fma (* v -6) v 2)))
484.0ms
(/ (/ 4/3 (- (* PI PI) (* (* v (* PI v)) (* v (* PI v))))) (* (cbrt (sqrt (fma (* v -6) v 2))) (cbrt (sqrt (fma (* v -6) v 2)))))
441.0ms
(+ (* 4/3 (/ (pow v 2) PI)) (+ (* 4/3 (/ 1 PI)) (* 4/3 (/ (pow v 4) PI))))

prune2.2s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize35.0ms

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)

rewrite48.0ms

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
14.0ms
(/ 4/3 (sqrt (- PI (* v (* PI v)))))
11.0ms
(* PI v)
11.0ms
(sqrt (- PI (* v (* PI v))))
10.0ms
(sqrt (- PI (* v (* PI v))))

series579.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
318.0ms
(/ 4/3 (sqrt (- PI (* v (* PI v)))))
114.0ms
(sqrt (- PI (* v (* PI v))))
108.0ms
(sqrt (- PI (* v (* PI v))))
38.0ms
(* PI v)

simplify13.4s

Counts
138 → 113
Calls
138 calls:
Slowest
711.0ms
(/ 4/3 (sqrt (- (pow PI 3) (pow (* v (* PI v)) 3))))
674.0ms
(sqrt (- (pow PI 3) (pow (* v (* PI v)) 3)))
663.0ms
(sqrt (- (pow PI 3) (pow (* v (* PI v)) 3)))
525.0ms
(sqrt (+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v))))))
365.0ms
(- (* 4/3 (/ (sqrt (/ -1 PI)) v)) (+ (* 1/6 (/ 1 (* (pow v 5) (* (pow PI 2) (pow (sqrt (/ -1 PI)) 3))))) (+ (* 2/3 (/ 1 (* (pow v 3) (* PI (sqrt (/ -1 PI)))))) (* 2/3 (/ 1 (* (pow v 5) (* PI (sqrt (/ -1 PI)))))))))

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch2.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.6s8000×body80valid
1.2s8073×body80nan