Details

Time bar (total: 3.5s)

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
8.0ms254×body80nan

simplify70.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
219410
341610
481610
5120710
6136810
7150510
8151110
9151110

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

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))

rewrite67.0ms

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:
30.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
8.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
17.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
6.0ms
(* 3.0 (* v v))

series628.0ms

Counts
4 → 12
Calls
4 calls:
321.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
79.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
204.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify96.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (79.0ms)

IterNodesCost
08711794
139911686
250011684

prune618.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- 1.0 (* 3.0 (* v v))))
0.0b
(* (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)))) (- 1.0 (* v v))))
0.2b
(* 3.0 (* v v))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt
31×associate-*l*
28×add-cube-cbrt *-un-lft-identity
25×distribute-rgt-in distribute-lft-in
23×add-exp-log add-cbrt-cube
20×frac-times sqrt-div
19×flip3-- flip--
18×times-frac prod-diff
17×pow1
16×sqrt-prod
14×associate-*r/
10×prod-exp cbrt-unprod
pow-prod-down associate-*l/
sub-neg associate-*r*
expm1-log1p-u log1p-expm1-u add-log-exp
*-commutative unswap-sqr
cbrt-undiv div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 161
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
17.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
31.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
6.0ms
(* 3.0 (* v v))

series584.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
174.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
303.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
25.0ms
(* 3.0 (* v v))

simplify104.0ms

Algorithm
egg-herbie
Counts
173 → 173
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
09872208
141392069
250012067

prune417.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes36.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01710
11710

end0.0ms

sample737.0ms

Algorithm
intervals
Results
277.0ms8000×body80valid
275.0ms8120×body80nan