Details

Time bar (total: 13.7s)

sample71.0ms

Algorithm
intervals
Results
28.0ms270×body80nan
19.0ms256×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01419
12719
27019
319219
440019
575319
6105819
7120219
8131219
9131819
done131819

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 4 expressions with local error:

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

rewrite179.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
26×associate-*l*
24×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
22×times-frac
20×sqrt-prod
18×frac-times sqrt-div
17×pow1
15×flip3-- flip--
11×associate-*r*
10×associate-*r/ prod-exp cbrt-unprod
associate-*l/
pow-prod-down unswap-sqr
prod-diff
distribute-rgt-in distribute-lft-in
expm1-log1p-u log1p-expm1-u add-log-exp
*-commutative
cbrt-undiv sub-neg div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 142
Calls
4 calls:
85.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
10.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
42.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
35.0ms
(* 3.0 (* v v))

series959.0ms

Counts
4 → 12
Calls
4 calls:
509.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
112.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
285.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
52.0ms
(* 3.0 (* v v))

simplify2.4s

Counts
154 → 154
Iterations

Useful iterations: done (2.4s)

IterNodesCost
03013466
18583174
231752946
done50002938

prune653.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v))))))
0.0b
(* (/ (sqrt 2.0) 4.0) (* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))))
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt associate-*l*
28×add-exp-log add-cbrt-cube
23×add-cube-cbrt *-un-lft-identity
21×pow1
18×times-frac
17×sqrt-prod
13×prod-exp cbrt-unprod
12×associate-*r*
10×pow-prod-down
associate-*r/
cbrt-div sqrt-div
unswap-sqr
cbrt-prod expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
flip3-- flip--
cbrt-undiv frac-times div-exp
associate-*l/ div-inv
Counts
4 → 120
Calls
4 calls:
32.0ms
(* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v))))))
70.0ms
(* (/ (sqrt 2.0) 4.0) (* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))))
17.0ms
(* 3.0 (* v v))
18.0ms
(* 3.0 (* v v))

series935.0ms

Counts
4 → 12
Calls
4 calls:
399.0ms
(* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v))))))
457.0ms
(* (/ (sqrt 2.0) 4.0) (* (fabs (cbrt (- 1.0 (* 3.0 (* v v))))) (sqrt (cbrt (- 1.0 (* 3.0 (* v v)))))))
29.0ms
(* 3.0 (* v v))
48.0ms
(* 3.0 (* v v))

simplify2.0s

Counts
132 → 132
Iterations

Useful iterations: done (2.0s)

IterNodesCost
02953291
17633073
229452800
done50002782

prune646.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes49.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01730
12130
done2130

end0.0ms

sample1.8s

Algorithm
intervals
Results
740.0ms7862×body80nan
690.0ms8000×body80valid