Details

Time bar (total: 4.3s)

sample32.0ms

Algorithm
intervals
Results
9.0ms273×body80nan
9.0ms256×body80valid

simplify84.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

localize12.0ms

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)))))
0.1b
(* 3.0 (* v v))

rewrite69.0ms

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:
35.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
18.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
7.0ms
(* 3.0 (* v v))

series591.0ms

Counts
4 → 12
Calls
4 calls:
295.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
75.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
197.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
24.0ms
(* 3.0 (* v v))

simplify107.0ms

Algorithm
egg-herbie
Counts
154 → 154
Iterations

Useful iterations: 2 (86.0ms)

IterNodesCost
08711794
139911686
250011684

prune397.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b
(fma 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0))) (fma 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
0.2b
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
0.2b
(* (sqrt 2.0) (pow v 2))
0.2b
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
35×add-exp-log
28×add-sqr-sqrt
20×add-cbrt-cube
19×associate-*r*
18×prod-exp
15×associate-*l*
14×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
9×unswap-sqr
8×pow1 cbrt-unprod
6×times-frac
5×unpow-prod-down
4×expm1-log1p-u div-exp log1p-expm1-u add-log-exp
3×pow-to-exp pow-exp *-commutative unpow2 sqr-pow
2×cbrt-undiv pow-prod-down
1×associate-*r/ fma-udef div-inv
Counts
4 → 104
Calls
4 calls:
0.0ms
(fma 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0))) (fma 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
14.0ms
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
8.0ms
(* (sqrt 2.0) (pow v 2))
13.0ms
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

series768.0ms

Counts
4 → 12
Calls
4 calls:
521.0ms
(fma 0.25 (* (sqrt 2.0) (* (pow v 2) (sqrt 1.0))) (fma 0.28125 (/ (* (sqrt 2.0) (pow v 4)) (pow (sqrt 1.0) 3)) (* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))))
111.0ms
(* 0.375 (/ (* (sqrt 2.0) (pow v 2)) (sqrt 1.0)))
43.0ms
(* (sqrt 2.0) (pow v 2))
92.0ms
(* (sqrt 2.0) (* (pow v 2) (sqrt 1.0)))

simplify69.0ms

Algorithm
egg-herbie
Counts
116 → 116
Iterations

Useful iterations: 1 (14.0ms)

IterNodesCost
0405938
12059829
25001829

prune465.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize14.0ms

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 (- 1.0 (* v v)))
0.0b
(sqrt (- 1.0 (* v v)))
0.1b
(* 3.0 (* v v))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
25×associate-*l* sqrt-prod
22×add-cube-cbrt *-un-lft-identity times-frac
14×add-exp-log add-cbrt-cube
13×pow1
8×sqrt-div
7×associate-*r* unswap-sqr
5×prod-exp cbrt-unprod
4×expm1-log1p-u flip3-- pow-prod-down flip-- log1p-expm1-u add-log-exp
2×frac-times rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ *-commutative difference-of-squares
1×cbrt-undiv div-exp associate-*l/ div-inv
Counts
4 → 111
Calls
4 calls:
19.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
3.0ms
(sqrt (- 1.0 (* v v)))
3.0ms
(sqrt (- 1.0 (* v v)))
7.0ms
(* 3.0 (* v v))

series353.0ms

Counts
4 → 12
Calls
4 calls:
207.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
61.0ms
(sqrt (- 1.0 (* v v)))
56.0ms
(sqrt (- 1.0 (* v v)))
28.0ms
(* 3.0 (* v v))

simplify58.0ms

Algorithm
egg-herbie
Counts
123 → 123
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
0551938
12005902
25002894

prune365.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes29.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03530
13530

end0.0ms

sample737.0ms

Algorithm
intervals
Results
280.0ms8140×body80nan
272.0ms8000×body80valid