Details

Time bar (total: 17.2s)

sample52.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
15.0ms218×body80nan

simplify4.0s

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

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite167.0ms

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
9×associate-*l/
7×pow-prod-down unswap-sqr
6×prod-diff
5×distribute-rgt-in distribute-lft-in
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×*-commutative
2×cbrt-undiv sub-neg div-exp
1×rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 142
Calls
4 calls:
7.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
95.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
42.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
16.0ms
(* 3.0 (* v v))

series906.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
488.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
274.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
34.0ms
(* 3.0 (* v v))

simplify2.5s

Counts
154 → 154
Iterations

Useful iterations: done (2.5s)

IterNodesCost
03013466
18583174
231842946
done50012938

prune685.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (* (sqrt 2.0) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* 4.0 (sqrt (fma (* 3.0 (* v v)) (fma 3.0 (* v v) 1.0) (* 1.0 1.0)))))
0.2b
(pow (* 3.0 (* v v)) 3)
0.2b
(* 3.0 (* v v))
0.2b
(* 3.0 (* v v))

rewrite153.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log add-cbrt-cube
20×pow1
13×prod-exp cbrt-unprod
9×add-sqr-sqrt pow-prod-down
7×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-unpow pow-pow pow-exp rem-cube-cbrt
2×sqrt-div associate-*r/ associate-*r* *-commutative associate-/l/ unswap-sqr
1×cube-mult pow-to-exp unpow-prod-down flip3-- frac-2neg times-frac unpow3 cube-prod clear-num associate-/r* flip-- div-inv associate-/l* sqr-pow
Counts
4 → 94
Calls
4 calls:
34.0ms
(/ (* (sqrt 2.0) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* 4.0 (sqrt (fma (* 3.0 (* v v)) (fma 3.0 (* v v) 1.0) (* 1.0 1.0)))))
29.0ms
(pow (* 3.0 (* v v)) 3)
38.0ms
(* 3.0 (* v v))
48.0ms
(* 3.0 (* v v))

series543.0ms

Counts
4 → 12
Calls
4 calls:
385.0ms
(/ (* (sqrt 2.0) (sqrt (- (pow 1.0 3) (pow (* 3.0 (* v v)) 3)))) (* 4.0 (sqrt (fma (* 3.0 (* v v)) (fma 3.0 (* v v) 1.0) (* 1.0 1.0)))))
84.0ms
(pow (* 3.0 (* v v)) 3)
34.0ms
(* 3.0 (* v v))
40.0ms
(* 3.0 (* v v))

simplify1.3s

Counts
106 → 106
Iterations

Useful iterations: 2 (381.0ms)

IterNodesCost
01701924
14311643
219781438
done50001438

prune539.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite552.0ms

Algorithm
rewrite-expression-head
Rules
100×frac-times
67×add-sqr-sqrt
52×sqrt-div
50×*-un-lft-identity associate-*l/
46×add-cube-cbrt
44×flip3-- flip--
37×add-exp-log add-cbrt-cube
36×associate-*r/ prod-diff sqrt-prod
27×associate-*l*
25×pow1
24×flip3-+ flip-+
22×times-frac
21×distribute-rgt-in distribute-lft-in
19×prod-exp cbrt-unprod
17×associate-*r*
13×pow-prod-down
7×unswap-sqr
4×expm1-log1p-u *-commutative log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×sub-neg difference-of-squares
1×div-inv distribute-lft-out distribute-lft-out--
Counts
4 → 238
Calls
4 calls:
32.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
87.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
377.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
38.0ms
(* 3.0 (* v v))

series1.2s

Counts
4 → 12
Calls
4 calls:
315.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
276.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v))
561.0ms
(* (* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (+ (sqrt 1.0) v)) (- (sqrt 1.0) v))
28.0ms
(* 3.0 (* v v))

simplify1.5s

Counts
250 → 250
Iterations

Useful iterations: done (1.4s)

IterNodesCost
04868886
115877602
done50006923

prune1.2s

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes30.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02240
12640
done2640

end0.0ms

sample1.8s

Algorithm
intervals
Results
745.0ms8055×body80nan
690.0ms8000×body80valid