Details

Time bar (total: 19.6s)

sample71.0ms

Algorithm
intervals
Results
25.0ms256×body80valid
25.0ms274×body80nan

simplify4.9s

Counts
1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4/3 (- PI (* (* v v) PI)))
0.2b
(* 6 (* v v))
0.1b
(* (* v v) PI)
0.0b
(sqrt (- 2 (* 6 (* v v))))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
19×add-sqr-sqrt
16×add-cbrt-cube add-exp-log add-cube-cbrt
15×pow1
12×times-frac
6×pow-prod-down prod-exp cbrt-unprod
4×associate-/r* distribute-rgt-out-- associate-*r* associate-*l* insert-posit16 add-log-exp
3×sqrt-prod associate-/l*
2×flip3-- sqrt-div associate-/r/ *-commutative flip-- unswap-sqr
1×cbrt-undiv rem-sqrt-square clear-num frac-2neg sqrt-pow1 pow1/2 div-exp div-inv
Counts
4 → 90
Calls
4 calls:
Slowest
19.0ms
(* (* v v) PI)
18.0ms
(* 6 (* v v))
13.0ms
(/ 4/3 (- PI (* (* v v) PI)))
3.0ms
(sqrt (- 2 (* 6 (* v v))))

series326.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
137.0ms
(/ 4/3 (- PI (* (* v v) PI)))
93.0ms
(sqrt (- 2 (* 6 (* v v))))
50.0ms
(* (* v v) PI)
45.0ms
(* 6 (* v v))

simplify1.8s

Counts
102 → 102

prune878.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
0.2b
(* 6 (* v v))
0.0b
(sqrt (- 2 (* 6 (* v v))))
0.0b
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))

rewrite169.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
19×pow1
16×associate-*r/
15×prod-exp cbrt-unprod
14×sqrt-div
13×flip3-- flip--
12×add-sqr-sqrt
10×*-un-lft-identity add-cube-cbrt
9×pow-prod-down
8×frac-times associate-/r/
7×associate-*r*
6×sqrt-prod
4×cbrt-undiv div-exp associate-*l* associate-*l/ insert-posit16 add-log-exp
3×times-frac associate-/l*
2×*-commutative
1×rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 div-inv unswap-sqr
Counts
4 → 103
Calls
4 calls:
Slowest
83.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
67.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
13.0ms
(* 6 (* v v))
3.0ms
(sqrt (- 2 (* 6 (* v v))))

series1.4s

Counts
4 → 12
Calls
4 calls:
Slowest
884.0ms
(/ 4 (* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v))))))
355.0ms
(* (* (* 3 PI) (- 1 (* v v))) (sqrt (- 2 (* 6 (* v v)))))
120.0ms
(sqrt (- 2 (* 6 (* v v))))
54.0ms
(* 6 (* v v))

simplify2.0s

Counts
115 → 115

prune1.0s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4/3 PI)
0.2b
(* (* v v) 6)
0.1b
(* (* v v) (* v v))
0.0b
(/ (/ 4/3 PI) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* (* v v) (* v v)))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
120×pow1
40×times-frac
36×pow-prod-up
35×add-cbrt-cube add-exp-log
28×add-sqr-sqrt
27×*-un-lft-identity add-cube-cbrt
26×pow-prod-down
22×pow-sqr
18×pow-plus
16×associate-/l*
13×pow2 prod-exp cbrt-unprod
8×associate-/r/
7×cbrt-undiv div-exp
6×flip3-- sqrt-div flip--
4×frac-times associate-/r* associate-*r* insert-posit16 div-inv add-log-exp
2×clear-num frac-2neg associate-*l* associate-*l/ associate-*r/ *-commutative unswap-sqr
1×swap-sqr associate-/l/
Counts
4 → 167
Calls
4 calls:
Slowest
27.0ms
(* (* v v) 6)
23.0ms
(* (* v v) (* v v))
18.0ms
(/ (/ 4/3 PI) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* (* v v) (* v v)))))
6.0ms
(/ 4/3 PI)

series572.0ms

Counts
4 → 10
Calls
4 calls:
Slowest
487.0ms
(/ (/ 4/3 PI) (* (sqrt (- 2 (* (* v v) 6))) (- 1 (* (* v v) (* v v)))))
47.0ms
(* (* v v) 6)
38.0ms
(* (* v v) (* v v))
0.0ms
(/ 4/3 PI)

simplify1.2s

Counts
177 → 177

prune2.0s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes116.0ms

Accuracy

0% (0.0b remaining)

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

bsearch7.0ms

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s8082×body80nan
1.1s8000×body80valid