Details

Time bar (total: 18.7s)

sample109.0ms

Algorithm
intervals
Results
49.0ms233×body80nan
41.0ms256×body80valid

simplify225.0ms

Calls
1 calls:
Slowest
225.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

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
(sqrt (fma (* v -6) v 2))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
71×add-sqr-sqrt
45×*-un-lft-identity
27×times-frac
25×add-cube-cbrt
22×associate-*r*
17×unswap-sqr
13×add-cbrt-cube associate-*l* add-exp-log
12×pow1 difference-of-squares
9×associate-/r*
8×distribute-lft-out--
7×*-commutative
4×expm1-log1p-u distribute-rgt-out-- pow-prod-down prod-exp cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp
3×sqrt-prod associate-/l*
2×associate-/r/
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 flip3-- pow1/2 div-exp div-inv flip--
Calls
4 calls:
Slowest
35.0ms
(/ 4/3 (- PI (* v (* PI v))))
26.0ms
(* v (* PI v))
10.0ms
(* PI v)
1.0ms
(sqrt (fma (* v -6) v 2))

series268.0ms

Calls
4 calls:
Slowest
121.0ms
(/ 4/3 (- PI (* v (* PI v))))
84.0ms
(sqrt (fma (* v -6) v 2))
33.0ms
(* v (* PI v))
30.0ms
(* PI v)

simplify7.2s

Calls
116 calls:
Slowest
482.0ms
(+ (* PI PI) (+ (* (* v (* PI v)) (* v (* PI v))) (* PI (* v (* PI v)))))
365.0ms
(- (+ (* 4/3 (/ 1 (* (pow v 2) PI))) (+ (* 4/3 (/ 1 (* (pow v 4) PI))) (* 4/3 (/ 1 (* (pow v 6) PI))))))
347.0ms
(- (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))) (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))))
336.0ms
(- (* 1/2 (/ 1 (* (pow v 3) (pow (sqrt -6) 3)))) (+ (/ 1 (* v (sqrt -6))) (* v (sqrt -6))))
325.0ms
(/ (* (* 4/3 4/3) 4/3) (* (* (- PI (* v (* PI v))) (- PI (* v (* PI v)))) (- PI (* v (* PI v)))))

prune1.5s

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI v)
0.3b
(* PI v)
0.3b
(* PI v)
0.2b
(* v (* PI v))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
24×associate-*r*
15×pow1 add-cbrt-cube associate-*l* add-exp-log
14×*-un-lft-identity add-cube-cbrt
7×unswap-sqr
6×pow-prod-down prod-exp cbrt-unprod
5×*-commutative
4×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
Calls
4 calls:
Slowest
42.0ms
(* v (* PI v))
10.0ms
(* PI v)
10.0ms
(* PI v)
10.0ms
(* PI v)

series128.0ms

Calls
4 calls:
Slowest
45.0ms
(* v (* PI v))
31.0ms
(* PI v)
28.0ms
(* PI v)
24.0ms
(* PI v)

simplify1.7s

Calls
60 calls:
Slowest
322.0ms
(* (* (* PI PI) PI) (* (* v v) v))
318.0ms
(* (* (* PI PI) PI) (* (* v v) v))
301.0ms
(* (* (* PI PI) PI) (* (* v v) v))
252.0ms
(* (* (* v v) v) (* (* (* PI v) (* PI v)) (* PI v)))
237.0ms
(* (* (* v v) v) (* (* (* PI PI) PI) (* (* v v) v)))

prune1.4s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

25.0b
(sqrt (* v (* PI v)))
25.0b
(sqrt (* v (* PI v)))
1.0b
(sqrt PI)
1.0b
(sqrt PI)

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
50×sqrt-prod
44×add-sqr-sqrt
30×associate-*r*
18×pow1
16×*-un-lft-identity add-cube-cbrt
14×unswap-sqr
12×associate-*l*
8×rem-sqrt-square sqrt-pow1
6×pow-prod-down
4×expm1-log1p-u add-cbrt-cube pow1/2 add-exp-log *-commutative insert-posit16 log1p-expm1-u add-log-exp
Calls
4 calls:
Slowest
50.0ms
(sqrt (* v (* PI v)))
43.0ms
(sqrt (* v (* PI v)))
2.0ms
(sqrt PI)
1.0ms
(sqrt PI)

series126.0ms

Calls
4 calls:
Slowest
67.0ms
(sqrt (* v (* PI v)))
59.0ms
(sqrt (* v (* PI v)))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)

simplify880.0ms

Calls
74 calls:
Slowest
47.0ms
(/ (* (cbrt 4/3) (cbrt 4/3)) (+ (sqrt PI) (sqrt (* v (* PI v)))))
43.0ms
(/ (cbrt 4/3) (- (sqrt PI) (sqrt (* v (* PI v)))))
42.0ms
(/ (cbrt 4/3) (- (sqrt PI) (sqrt (* v (* PI v)))))
40.0ms
(sqrt (* v (* PI (* (cbrt v) (cbrt v)))))
31.0ms
(sqrt (* v (* (sqrt PI) (sqrt v))))

prune1.6s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes25.0ms

Accuracy

0% (0.0b remaining)

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

bsearch5.0ms

end0.0ms

sample3.1s

Algorithm
intervals
Results
1.7s8259×body80nan
1.2s8000×body80valid