Details

Time bar (total: 3.2s)

sample29.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
9.0ms254×body80nan

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02710
17210
218210
337010
471310
5106610
6120110
7130810
8130810

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
26×associate-*l*
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity 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
add-log-exp
*-commutative
cbrt-undiv distribute-rgt-in sub-neg distribute-lft-in div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 128
Calls
4 calls:
32.0ms
(* (* (/ (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))

series613.0ms

Counts
4 → 12
Calls
4 calls:
307.0ms
(* (* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v)))
77.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
200.0ms
(* (/ (sqrt 2.0) 4.0) (sqrt (- 1.0 (* 3.0 (* v v)))))
29.0ms
(* 3.0 (* v v))

simplify92.0ms

Algorithm
egg-herbie
Counts
140 → 140
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
08091605
136211516
250011513

prune377.0ms

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))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
31×associate-*l*
29×add-sqr-sqrt
23×add-exp-log add-cbrt-cube
22×add-cube-cbrt *-un-lft-identity
20×frac-times sqrt-div
19×flip3-- flip--
18×times-frac
17×pow1
16×sqrt-prod
14×associate-*r/
10×distribute-rgt-in distribute-lft-in prod-exp cbrt-unprod
pow-prod-down associate-*l/
sub-neg associate-*r*
add-log-exp
*-commutative unswap-sqr
cbrt-undiv div-exp
rem-sqrt-square sqrt-pow1 pow1/2 div-inv difference-of-squares
Counts
4 → 135
Calls
4 calls:
3.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
14.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
34.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
7.0ms
(* 3.0 (* v v))

series603.0ms

Counts
4 → 12
Calls
4 calls:
82.0ms
(sqrt (- 1.0 (* 3.0 (* v v))))
179.0ms
(* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v)))
316.0ms
(* (/ (sqrt 2.0) 4.0) (* (sqrt (- 1.0 (* 3.0 (* v v)))) (- 1.0 (* v v))))
25.0ms
(* 3.0 (* v v))

simplify94.0ms

Algorithm
egg-herbie
Counts
147 → 147
Iterations

Useful iterations: 2 (78.0ms)

IterNodesCost
08661771
136861675
250021674

prune410.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes40.0ms

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

sample738.0ms

Algorithm
intervals
Results
279.0ms8000×body80valid
278.0ms8120×body80nan