Details

Time bar (total: 33.8s)

sample81.0ms

Algorithm
intervals
Results
25.0ms283×body80nan
25.0ms256×body80valid

simplify8.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01620
13220
29020
325920
473020
5177420
6305420
7394620
8493820
done500020

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize39.0ms

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))))))

rewrite417.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
23×pow1
18×associate-*r/ prod-exp cbrt-unprod
13×flip3-- flip--
12×add-sqr-sqrt sqrt-div pow-prod-down
11×associate-*r*
10×add-cube-cbrt *-un-lft-identity
8×frac-times associate-/r/
5×associate-*l*
4×cbrt-undiv div-exp associate-*l/ add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×frac-2neg clear-num associate-/r* div-inv difference-of-squares unswap-sqr
Counts
4 → 109
Calls
4 calls:
59.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
166.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
33.0ms
(* 6.0 (* v v))
150.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series1.6s

Counts
4 → 12
Calls
4 calls:
206.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
509.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
59.0ms
(* 6.0 (* v v))
846.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify833.0ms

Counts
121 → 121
Iterations

Useful iterations: done (826.0ms)

IterNodesCost
03072810
19332618
done50002274

prune839.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
1.0b
(/ (/ (/ (pow 4.0 3) (pow 3.0 3)) (* (pow PI 3) (pow (- 1.0 (* v v)) 3))) (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3))
1.0b
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
1.0b
(pow PI 3)

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
8320×times-frac
2307×unpow-prod-down cube-prod
2195×add-sqr-sqrt
2194×add-cube-cbrt *-un-lft-identity
996×add-exp-log
936×sqrt-prod
873×div-exp
613×cube-mult unpow3 sqr-pow
463×pow-to-exp pow-exp
273×prod-exp
154×associate-/l*
42×cube-div
40×associate-/r/
39×div-inv
38×associate-*r/
29×add-cbrt-cube
21×flip3-- flip--
18×associate-/r*
12×pow1
11×cbrt-undiv
6×pow-unpow
5×cbrt-unprod
4×pow-pow sqrt-div add-log-exp
3×associate-*l* pow-prod-down
2×rem-cube-cbrt
1×frac-2neg sqrt-pow1 pow1/2 associate-*r* clear-num *-commutative sqrt-pow2 associate-/l/ unswap-sqr
Counts
4 → 3341
Calls
4 calls:
42.0ms
(* 6.0 (* v v))
374.0ms
(/ (/ (/ (pow 4.0 3) (pow 3.0 3)) (* (pow PI 3) (pow (- 1.0 (* v v)) 3))) (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3))
18.0ms
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
8.0ms
(pow PI 3)

series1.5s

Counts
4 → 10
Calls
4 calls:
42.0ms
(* 6.0 (* v v))
1.1s
(/ (/ (/ (pow 4.0 3) (pow 3.0 3)) (* (pow PI 3) (pow (- 1.0 (* v v)) 3))) (pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3))
334.0ms
(pow (sqrt (- 2.0 (* 6.0 (* v v)))) 3)
0.0ms
(pow PI 3)

simplify2.5s

Counts
3351 → 3351
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02401168176
done5000143170

prune8.3s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize99.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (+ 2.0 (* 6.0 (* v v))))
0.1b
(* (* 6.0 6.0) (pow v 4))
0.2b
(* 6.0 (* v v))
1.0b
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

rewrite515.0ms

Algorithm
rewrite-expression-head
Rules
72×times-frac
67×add-exp-log
64×associate-*l*
59×add-cbrt-cube
43×add-sqr-sqrt
39×add-cube-cbrt *-un-lft-identity
33×prod-exp
30×sqrt-prod
27×cbrt-unprod
24×associate-*r/
16×frac-times sqrt-div
15×pow1
14×cbrt-undiv div-exp associate-/r/
13×flip3-+ flip-+
9×associate-*r*
7×flip3-- flip-- div-inv
6×pow-prod-down
5×associate-*l/
4×unpow-prod-down add-log-exp unswap-sqr
3×*-commutative
2×pow-to-exp pow-exp sqr-pow
1×rem-sqrt-square sqrt-pow1 pow1/2
Counts
4 → 169
Calls
4 calls:
11.0ms
(sqrt (+ 2.0 (* 6.0 (* v v))))
48.0ms
(* (* 6.0 6.0) (pow v 4))
37.0ms
(* 6.0 (* v v))
396.0ms
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

series1.1s

Counts
4 → 12
Calls
4 calls:
110.0ms
(sqrt (+ 2.0 (* 6.0 (* v v))))
72.0ms
(* (* 6.0 6.0) (pow v 4))
42.0ms
(* 6.0 (* v v))
905.0ms
(* (/ (/ 4.0 (* (* 3.0 PI) (- (* 1.0 1.0) (pow v 4)))) (sqrt (- (* 2.0 2.0) (* (* 6.0 6.0) (pow v 4))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

simplify1.0s

Counts
181 → 181
Iterations

Useful iterations: done (1.0s)

IterNodesCost
04436645
113996178
done50005469

prune1.9s

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

bsearch0.0ms

simplify8.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02331
12531
done2531

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.6s8000×body80valid
893.0ms8122×body80nan