Details

Time bar (total: 4.8s)

sample35.0ms

Algorithm
intervals
Results
11.0ms258×body80nan
10.0ms256×body80valid

simplify64.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite192.0ms

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:
75.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
28.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
16.0ms
(* 6.0 (* v v))
68.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

series800.0ms

Counts
4 → 12
Calls
4 calls:
264.0ms
(* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v)))))
103.0ms
(* (* 3.0 PI) (- 1.0 (* v v)))
25.0ms
(* 6.0 (* v v))
408.0ms
(/ 4.0 (* (* (* 3.0 PI) (- 1.0 (* v v))) (sqrt (- 2.0 (* 6.0 (* v v))))))

simplify110.0ms

Counts
135 → 135
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
09551468
146961282
250011281
done50011281

prune302.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))
0.2b
(* 6.0 (* v v))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1 add-exp-log add-cbrt-cube
12×add-sqr-sqrt associate-*l* pow-prod-down prod-exp cbrt-unprod
8×add-cube-cbrt *-un-lft-identity
4×expm1-log1p-u associate-*r* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
4 → 84
Calls
4 calls:
16.0ms
(* 6.0 (* v v))
16.0ms
(* 6.0 (* v v))
19.0ms
(* 6.0 (* v v))
17.0ms
(* 6.0 (* v v))

series103.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* 6.0 (* v v))
24.0ms
(* 6.0 (* v v))
27.0ms
(* 6.0 (* v v))
26.0ms
(* 6.0 (* v v))

simplify102.0ms

Counts
96 → 96
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
088324
1292264
2832264
32900264
45002264
done5002264

prune334.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 4 expressions with local error:

1.0b
(/ 4.0 (fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI))))))))
1.0b
(* 3.0 (sqrt 2.0))
1.0b
(fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI)))))))
1.0b
(pow (sqrt 2.0) 3)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
10×sqrt-prod
9×add-exp-log times-frac add-cbrt-cube
8×pow1
6×unpow-prod-down cube-prod associate-*r*
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow-unpow pow-pow associate-*l* associate-/r* associate-/l*
2×unswap-sqr
1×cbrt-undiv cube-mult pow-to-exp frac-2neg sqrt-pow1 pow1/2 unpow3 div-exp pow-prod-down pow-exp prod-exp clear-num *-commutative sqrt-pow2 cbrt-unprod fma-udef div-inv rem-cube-cbrt sqr-pow
Counts
4 → 97
Calls
4 calls:
5.0ms
(/ 4.0 (fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI))))))))
9.0ms
(* 3.0 (sqrt 2.0))
0.0ms
(fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI)))))))
4.0ms
(pow (sqrt 2.0) 3)

series1.3s

Counts
4 → 8
Calls
4 calls:
876.0ms
(/ 4.0 (fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI))))))))
0.0ms
(* 3.0 (sqrt 2.0))
380.0ms
(fma (* 3.0 (sqrt 2.0)) PI (- (* 9.0 (/ (* (pow v 4) PI) (sqrt 2.0))) (fma 9.0 (/ (* (pow v 2) PI) (sqrt 2.0)) (fma 13.5 (/ (* (pow v 4) PI) (pow (sqrt 2.0) 3)) (* 3.0 (* (sqrt 2.0) (* (pow v 2) PI)))))))
0.0ms
(pow (sqrt 2.0) 3)

simplify92.0ms

Counts
105 → 105
Iterations

Useful iterations: 2 (71.0ms)

IterNodesCost
05482041
130531856
250011845
done50011845

prune390.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes21.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04030
14030
done4030

end0.0ms

sample815.0ms

Algorithm
intervals
Results
294.0ms8000×body80valid
278.0ms8062×body80nan