Details

Time bar (total: 6.8s)

sample31.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
8.0ms242×body80nan

simplify61.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03210
19110
227510
367210
4130310
5173710
6180210
7180210
done180210

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

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)))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

rewrite197.0ms

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:
27.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
76.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
18.0ms
(* 6.0 (* v v))
71.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series842.0ms

Counts
4 → 12
Calls
4 calls:
109.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
276.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
34.0ms
(* 6.0 (* v v))
423.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify112.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (99.0ms)

IterNodesCost
09551468
146961282
250011281
done50011281

prune320.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
0.1b
(* 6.0 (* v v))
1.0b
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
1.0b
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

rewrite254.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log add-cbrt-cube
32×associate-*r/
24×flip3-- sqrt-div associate-/r/ flip--
21×prod-exp cbrt-unprod
19×pow1
16×frac-times
15×add-sqr-sqrt unpow-prod-down cube-prod
14×add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-down
8×cbrt-undiv div-exp associate-*l/
7×associate-*r*
5×pow-exp rem-cube-cbrt
4×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
3×pow-unpow sqrt-prod div-inv associate-/l*
2×*-commutative
1×cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/r* unswap-sqr sqr-pow
Counts
4 → 148
Calls
4 calls:
76.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
17.0ms
(* 6.0 (* v v))
68.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
86.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

series1.7s

Counts
4 → 12
Calls
4 calls:
274.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
33.0ms
(* 6.0 (* v v))
434.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))
933.0ms
(pow (/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))) 3)

simplify46.0ms

Counts
160 → 160
Iterations

Useful iterations: 1 (27.0ms)

IterNodesCost
012842265
150022097
done50022097

prune505.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite404.0ms

Algorithm
rewrite-expression-head
Rules
154×add-exp-log add-cbrt-cube
133×pow1
87×prod-exp cbrt-unprod
75×pow-prod-down
30×cbrt-undiv div-exp
26×associate-*l*
22×associate-*r/
20×frac-times
18×sqrt-div
12×flip3-+ flip-+
11×add-sqr-sqrt
10×times-frac
9×add-cube-cbrt *-un-lft-identity pow-sqr pow-prod-up
8×associate-/r/
7×associate-*l/
6×flip3-- flip--
4×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp
3×pow-plus
2×div-inv unswap-sqr
1×pow2 swap-sqr
Counts
4 → 193
Calls
4 calls:
17.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))
86.0ms
(* (* 6.0 (* v v)) (* 6.0 (* v v)))
269.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

series792.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
26.0ms
(* 6.0 (* v v))
41.0ms
(* (* 6.0 (* v v)) (* 6.0 (* v v)))
700.0ms
(* (/ (/ 4.0 (* 3.0 PI)) (* (fma v v 1.0) (* (- 1.0 (* v v)) (sqrt (- (* 2.0 2.0) (* (* 6.0 (* v v)) (* 6.0 (* v v)))))))) (* (+ 1.0 (* v v)) (sqrt (+ 2.0 (* 6.0 (* v v))))))

simplify62.0ms

Counts
205 → 205
Iterations

Useful iterations: 1 (30.0ms)

IterNodesCost
013243457
150012772
done50012772

prune530.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes61.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02312
12312
done2312

end0.0ms

sample823.0ms

Algorithm
intervals
Results
305.0ms8000×body80valid
270.0ms7905×body80nan