Details

Time bar (total: 22.2s)

sample86.0ms

Algorithm
intervals
Results
27.0ms283×body80nan
26.0ms256×body80valid

simplify6.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
327120
478120
5186720
6383420
done500020

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* 3.0 PI) (- 1.0 (* v v)))
0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite416.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
14×add-sqr-sqrt
13×flip3-- flip--
12×add-cube-cbrt *-un-lft-identity sqrt-div pow-prod-down
11×associate-*r*
8×frac-times associate-/r/
6×prod-diff
5×distribute-rgt-in distribute-lft-in associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp associate-*l/ log1p-expm1-u add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×sub-neg
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 123
Calls
4 calls:
58.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
160.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms
(* 6.0 (* v v))
155.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.4s

Counts
4 → 12
Calls
4 calls:
180.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
460.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
50.0ms
(* 6.0 (* v v))
725.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify820.0ms

Counts
135 → 135
Iterations

Useful iterations: done (812.0ms)

IterNodesCost
03303068
110052854
done50002507

prune849.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize77.0ms

Local error

Found 4 expressions with local error:

0.0b
(pow (- 1.0 (* v v)) 3)
0.2b
(* 6.0 (* v v))
1.0b
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
1.0b
(pow PI 3)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
13×pow1 unpow-prod-down cube-prod
12×add-exp-log add-cbrt-cube
9×pow-unpow
6×sqrt-prod
5×pow-pow
4×cube-div expm1-log1p-u log1p-expm1-u add-log-exp
3×cube-mult pow-to-exp unpow3 associate-*l* pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
2×flip3-- sqrt-div flip-- difference-of-squares
1×sqrt-pow1 pow1/2 associate-*r* *-commutative sqrt-pow2 unswap-sqr
Counts
4 → 111
Calls
4 calls:
14.0ms
(pow (- 1.0 (* v v)) 3)
31.0ms
(* 6.0 (* v v))
14.0ms
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
5.0ms
(pow PI 3)

series481.0ms

Counts
4 → 10
Calls
4 calls:
104.0ms
(pow (- 1.0 (* v v)) 3)
43.0ms
(* 6.0 (* v v))
334.0ms
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
0.0ms
(pow PI 3)

simplify2.6s

Counts
121 → 121
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
02081414
17361190
235211093
done50001093

prune884.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (pow v (* 2 2)) 6.0)
0.2b
(* 6.0 (* v v))
1.0b
(/ 4.0 (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* (pow v (* 2 2)) 6.0) 6.0)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))
1.0b
(/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* (pow v (* 2 2)) 6.0) 6.0)))) (sqrt (+ 2.0 (* 6.0 (* v v)))))

rewrite366.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
48×add-exp-log
45×add-cbrt-cube
43×add-sqr-sqrt
37×add-cube-cbrt *-un-lft-identity
18×prod-exp associate-/r* sqrt-prod
16×sqrt-div cbrt-unprod
13×cbrt-undiv div-exp
11×associate-/r/
10×associate-*l*
9×pow1
8×associate-*r/ associate-/l/
6×flip3-- flip-- div-inv
5×flip3-+ flip-+
4×expm1-log1p-u frac-times unpow-prod-down associate-*r* log1p-expm1-u associate-/l* add-log-exp unswap-sqr
3×pow-prod-down
2×frac-2neg associate-*l/ clear-num *-commutative sqr-pow
1×pow-to-exp pow-exp
Counts
4 → 165
Calls
4 calls:
31.0ms
(* (pow v (* 2 2)) 6.0)
33.0ms
(* 6.0 (* v v))
123.0ms
(/ 4.0 (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* (pow v (* 2 2)) 6.0) 6.0)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))
164.0ms
(/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* (pow v (* 2 2)) 6.0) 6.0)))) (sqrt (+ 2.0 (* 6.0 (* v v)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
72.0ms
(* (pow v (* 2 2)) 6.0)
48.0ms
(* 6.0 (* v v))
1.3s
(/ 4.0 (/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* (pow v (* 2 2)) 6.0) 6.0)))) (sqrt (+ 2.0 (* 6.0 (* v v))))))
583.0ms
(/ (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- (* 2.0 2.0) (* (* (pow v (* 2 2)) 6.0) 6.0)))) (sqrt (+ 2.0 (* 6.0 (* v v)))))

simplify1.0s

Counts
177 → 177
Iterations

Useful iterations: done (1.0s)

IterNodesCost
04266558
112395739
done50005063

prune1.5s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes105.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02331
12731
done2731

end0.0ms

sample2.4s

Algorithm
intervals
Results
1.2s8000×body80valid
712.0ms8122×body80nan